Suppose it takes 8 hours for a certain strain of bacteria to reproduce by dividing in half. If 75 bacteria are presentto begin with, the total number present after z days isf(x) = 75-8².Find the total number present after 1, 2, and 3 days.There will bebacteria present after 1 day, 600after 2 days and* after 3 days.

Answers

Answer 1

According to the exponential growth formula , there will be 38400 bacteria present after 3 days.

The given formula for the bacteria population, f(x) = 75 - 8², seems to be incorrect. Since the bacteria reproduce by dividing in half every 8 hours, we should use an exponential growth formula.

Let's denote the number of bacteria present after z days as f(z). Since there are 24 hours in a day, there are 3 reproduction cycles in a day (24 hours / 8 hours per cycle = 3 cycles). Therefore, the total number of reproduction cycles after z days is 3z.

The formula for the bacteria population after z days is: f(z) = 75 * 2^(3z)

Now, let's find the total number present after 1, 2, and 3 days.

1 day: f(1) = 75 * 2^(3 * 1) = 75 * 2^3 = 75 * 8 = 600
There will be 600 bacteria present after 1 day.

2 days: f(2) = 75 * 2^(3 * 2) = 75 * 2^6 = 75 * 64 = 4800
There will be 4800 bacteria present after 2 days.

3 days: f(3) = 75 * 2^(3 * 3) = 75 * 2^9 = 75 * 512 = 38400
There will be 38400 bacteria present after 3 days.

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Related Questions

You have$ 11.50 and you need ti make copies of a flyer at a store that changes $0.30 per copy

Answers

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

the answer is 56

Write a phrase in words for each algebraic
expression.
22. m+83_

23.42s
24. 9/d

25. t - 29

26. 2+g
27. 11x
28. h/12
29. 5- k

Answers

t decreased by 29 , Two more than g , Eleven times x , h divided by twelve and Five minus k are the phrase of given expression .

what is expression ?

An expression in mathematics is a group of digits, variables, and operations that illustrates a mathematical connection or concept. Symbols, words, or a combination of both can be used to write expressions in a variety of ways. Expressions that are examples include: 3x + 4, 2y - 7z , (a + b) ,x2 + y2 = 2 5sin(x) + 3cos(x). Equations, inequalities, functions, formulae, and many other mathematical ideas can all be represented as expressions. Additionally, they can be altered or simplified using algebraic methods like factoring, combining like terms, and solving for a variable.

given

The sum of m and 83.

Forty-two times s.

Nine divided by d.

t decreased by 29.

Two more than g.

Eleven times x.

h divided by twelve.

Five minus k

t decreased by 29 , Two more than g , Eleven times x , h divided by twelve and Five minus k are the phrase of given expression .

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you randomly select 15 cards from a deck of 52 cards. what is the probability that it contains exactly one queen given that it contains exactly two aces?

Answers

The probability that the 15 cards contain exactly one queen given that they contain exactly two aces is approximately 0.060 or 6.0%.

We can use conditional probability. Let A be the event that the 15 cards contain exactly two aces, and B be the event that they contain exactly one queen. Then we want to find the conditional probability P(B|A).

First, let's find the probability of A. There are C(4,2) ways to choose the two aces out of four, and C(48,13) ways to choose the other 13 cards out of the remaining 48 cards. So the total number of ways to choose 15 cards with exactly two aces is:

C(4,2) × C(48,13) ≈ 4.57 × 10^12

Next, let's find the probability of both A and B. There are C(4,2) ways to choose the two aces out of four, C(4,1) ways to choose one queen out of four, and C(47,12) ways to choose the other 12 cards out of the remaining 47 cards. So the total number of ways to choose 15 cards with exactly one queen and exactly two aces is:

C(4,2) × C(4,1) × C(47,12) ≈ 2.76 × 10^11

Finally, we can use the formula for conditional probability:

P(B|A) = P(A and B) / P(A)

P(B|A) = (C(4,2) × C(4,1) × C(47,12)) / (C(4,2) × C(48,13))

P(B|A) ≈ 0.060

Therefore, the probability is approximately 0.060 or 6.0%.

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165. 1% of 384. 7. Round to the nearest thousandth

Answers

Rounding to the nearest thousandth means rewrite the number and deleting all digits to the right of the rounded number. The percentage value for 165.1% of 384.7 is equals to the 42.917%.

In mathematics, a percentage is a number that represents a fraction of hundred. We have to calculate the value of 165.1% of 384.7. Percentage solution with steps:

Step 1: We make the assumption that 384.7 is 100% since it is our output value.

Step 2: We next represent the value we need with x. From step 1, it follows that 100% = 384.7.

Step 3: In the same sense, x% = 165.1.

Step 5: Now, we have a pair of simple equations:

100% = 384.7 --(1).

x% = 165.1 ---(2).

Step 6: By simply dividing equation (1) by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have 100% /x% = 384.7/165.1.

Step 7: Taking the inverse or reciprocal in both sides, x% / 100% = 165.1/384.7

=> x = ( 165.1/384.7) × 100

=> x = 42.91655835716 ~ 42.917 (round to the nearest thousandth). Therefore, 165.1 is 42.917% of 384.7.

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help pls its too much

Answers

Answer:

24.13

Step-by-step explanation:

Jeriel is going to invest in an account paying an interest rate of 6.5% compounded continuously. How much would Jeriel need to invest, to the nearest cent, for the value of the account to reach $137,000 in 5 years?

Answers

Jeriel would need to invest approximately $98,986.25 for the value of the account to reach $137,000 in 5 years, assuming continuous compounding.

How much would Jeriel need to invest for the account to reach the accrued amount?

The formula accrued amount compounded continuously is expressed as;

A = P × e^(rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

In this case, we are given that the final amount to be $137,000, the interest rate is 6.5% and the time is 5 years.

We want to solve for Principal P.

First, convert R as a percent to r as a decimal

r = R/100

r = 6.5/100

r = 0.065 per year

Plug these values into the above formula and solve for P.

A = P × e^(rt)

P = A / e^(rt)

P = 137,000.00 / e^(0.065 × 5)

p = $98,986.25

Therefore, the value of the principal P is $98,986.25.

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the temperature at 12 noon was 10 degree Celsius above zero .if it decreases at the rate of 2 degree Celsius per hour until midnight ,at what time would the temperature be 8 degree Celsius below zero? what would be the temperature at midnight?

Answers

Answer:

The time will be 1:00pm(13 hours) at which the degree Celsius will drop down to 8degrees Celsius since the temperature at 12noon was 10 degree Celsius and it is dropping at the rate of 2 degree Celsius.

A randomized experiment was performed to determine whether two fertilizers, A and B, give different yields of tomatoes. A total of 33 tomato plants were grown; 16 using fertilizer A, and 17 using fertilizer B. The distributions of the data did not show marked skewness and there were no outliers in either data set. The results of the experiment are shown below.[table]Which of the following statements best describes the conclusion that can be drawn from this experiment?A. There is no statistical evidence of difference in the yields between fertilizer A and fertilizer B (p > 0.15).B. There is a borderline statistically significant difference in the yields between fertilizer A and fertilizer B (0.10 < p < 0.15).C. There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (0.05 < p < 0.10).D. There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (0.01 < p < 0.05).E. There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (p < 0.01).

Answers

Answer:

There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (0.01 < p < 0.05).

Step-by-step explanation:

There are 36 students in the school choir. The ratio of girls to boys in the choir is
5:4. Two girls are absent from practice on Monday. What is the ratio of girls to
boys at choir practice on Monday?
A 3:4
C 9:8
B 5:2
D 10:7

Answers

Answer:

C 9:8

Step-by-step explanation:

total students = 36

5+4=9

5:4 = 20:16

20-2=18

ratio for monday = 18:16

=9:8

what did one dog say to the other dog

Answers

Answer: I like "Hot Dogs"?

Step-by-step explanation:

Find the equation of L ​

Answers

[tex]y=\frac{7}{2.4} x-6[/tex] ; if estimated then : [tex]y=\frac{7}{2.5} x-6[/tex]

Explination:

Y-intercept is -6, (0,-6)

The rise over run it [tex]\frac{7}{2.4} x[/tex]. The denominator is 2.4 because it nearly 2.5.

Find explicit formulas for sequences of the form a1, a2, a3, ... with the initial terms given
0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7

Answers

This formula generates the sequence 0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7, ...

Notice that the sequence alternates between positive and negative terms and that the denominators of each term increase by 1 while the numerators increase by 1 or -1. To find the explicit formula, we can write it in terms of its general form:

a1 = 0

a2 = -1/2

a3 = 2/3

a4 = -3/4

a5 = 4/5

a6 = -5/6

a7 = 6/7

We can see that the numerator of each term is equal to its index number, n, if n is even and equal to -n if n is odd. The denominator of each term is equal to n+1 for all terms.

Using this observation, we can write the explicit formula for the sequence as:

an = (-1)^(n+1) * n / (n+1)

where (-1)^(n+1) is equal to -1 if n is odd and 1 if n is even. This formula generates the sequence 0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7, ...

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help
I need this asap​

Answers

Answer: natural number=11

                integer= -4

                irrational= pi, 0.1010010001.....,root 5

                 rational= 0.1212...., -3/5,0.3,2 1/4

               

Step-by-step explanation:

PLEASE HELP WITH EXPLANATION PLEASE PLEASE PLEASE NO SCAMMING FOR THE COINS OR I WILL REPORT YOU

Answers

The correct solutions for the given equation is given by table in option 3.

Explain about the solution of linear equation?

A straight line is produced when a linear equation, which is a two-variable equation, is graphed. The intersection of corresponding values which satisfy the equation results in the line.

The variables x and y are most frequently used in linear equations, hence the associated values can be shown as (x,y) on the coordinate plane, pairs. A collection of two maybe more linear equations is known as a system of linear equations.

The given equation is-

y = x - 6

Put the value of 'x' from the options and check for 'y', if its correct.

The option are the solution of the equation.

option 1:

y = x - 6

x = --5

y = -5 - 6 = -11  (incorrect)

option 2:

y = x - 6

Put x = -8

y = -8 - 6 = -14 (incorrect)

option 3:

y = x - 6

Put x = -7

y = -7 - 6 = -13 (correct)

Thus, the correct solutions for the given linear equation is given by table in option 3.

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siona bought 10 outfits to wear to church. the shirt has a price of $3.50 and a pair of shorts has a price of $4.00. how many shirts and pairs of shorts did she buy when she spent a total of $36.50?

Answers

Siona bought 7 shirts and 3 pairs of shorts when she spent a total of $36.50. The problem can be solved using a system of equations.

Let's use a system of equations to solve this problem:

Let x be the number of shirts that Siona bought, and y be the number of pairs of shorts that she bought. Then we have:

Equation 1: x + y = 10 (Siona bought 10 outfits in total)

Equation 2: 3.50x + 4.00y = 36.50 (The total cost of the outfits is $36.50)

To solve for x and y, we can use substitution or elimination. Let's use substitution:

From Equation 1, we can solve for x in terms of y:

x = 10 - y

Substitute this expression for x into Equation 2:

3.50(10 - y) + 4.00y = 36.50

Simplify and solve for y:

35 - 3.50y + 4.00y = 36.50

0.50y = 1.50

y = 3

Now we can substitute y = 3 back into Equation 1 to solve for x:

x + 3 = 10

x = 7

Therefore, Siona bought 7 shirts and 3 pairs of shorts when she spent a total of $36.50.

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PLEASE HELP

Write and simplify a polynomial expression to find the area of 4 circles. Each circle has a radius of (4a-6)

Answers

Answer: 64πa^2-192πa+144

Step-by-step explanation:

Area of a circle: π •r^2

So then the area would be: 4•π(4a-6)^2

FOIL (4a-6)(4a-6) and get 16a^2-48a+36

Plug it in and get 4•π(16a^2-48a+36)

Distribute pi sign and get 4•(16πa^2-48πa+36π)

Distribute the 4 and you get 64πa^2-192πa+144

Answer: 64πa^2-192πa+144

Write an equation to describe the relationship between t, the number of tickets, and c
, the total cost of tickets

Answers

The relationship between t, the number of tickets, and c, the total cost of tickets is: c = 55t

Relation between two variables, i.e, total cost and number of tickets:

The statistical relationship between two variables is called their correlation. The correlation can be positive, which means that the two variables move in the same direction, or negative, which means that when the value of one variable increases, the value of the other variable decreases.

Based n the Question:

Since there is no processing fee and the ticket price remains the same, we know that the fee will be proportional to the number of tickets purchased. The general form of the equation expressing the proportional relationship between the cost (c) and the number of tickets (t) is:

c = kt

where k is the constant of proportionality (the cost per ticket).

We can find k by using any of the data points given in the table. Using the first point, we have :

110 = k·2

Dividing the equation by 2:

110/2 = k = 55

Then using this value for k, the desired equation can be written:

c = 55t

Complete Question:

Total cost (in dollars) Number of concert tickets. the total costs in dollars are 110 275 440. the number in concert tickets are 2, 5, 8 Write an equation to describe the relationship between the total cost in dollars (c), and the number of tickets purchased (t),

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Select ALL the set of numbers that are possible values for x in the inequality, x<-3

Answers

The set of numbers that are possible values for x in the inequality x < -3 is: {-9, -7, -5}. (Option 2)

To find the possible values of x that satisfy the inequality x < -3, we need to look for numbers that are less than -3. Among the given sets of numbers, only {-9, -7, -5} contains numbers that are less than -3, so this is the set of possible values for x.

{-33, -22, -11} are all greater than -3, so they are not possible values for x in the given inequality.

{5, 7, 9} and {-5, 0, 5} are also greater than -3, so they are not possible values for x in the given inequality.

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Complete Question:

Select all the sets of numbers that are possible values for x in the inequality, x<-3.

{5,7,9}{-9, -7, -5}{-33, -22, -11}{-5,0,5}

A quadrilateral has opposite sides with the same slopes and consecutive sides with slopes that are reciprocals. What is the most precise classification of the quadrilateral?
Quadrilateral
Rectangle
Parallelogram
Trapezoid

Answers

The most precise classification of the quadrilateral with opposite sides having the same slopes and consecutive sides having slopes that are reciprocals is a Rectangle.

1. Opposite sides with the same slopes imply that these sides are parallel.
2. Consecutive sides with slopes that are reciprocals mean that they are perpendicular.
3. Parallel opposite sides make the quadrilateral a parallelogram.
4. Perpendicular consecutive sides make it a rectangle, as all angles are 90 degrees.

So, the quadrilateral is a Rectangle.

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when a person standing in neutral flexes their right shoulder so that their arm is horizontal with the ground, the center of gravity (mass) will

Answers

When a person standing in neutral flexes their right shoulder so that their arm is horizontal with the ground, the center of gravity (mass) will shift towards the left side of the body.

Explanation:

What is center of gravity?

The point at which the weight of a body or an object is concentrated, that is, the point at which the mass of the body or the object is focused is known as the center of gravity. The center of gravity (CG) is the point where the weight of the body is supposed to act, which is the point about which the body remains in balance. The body's center of gravity is important because it affects its balance and stability

                             .When a person is standing in a neutral position, the center of gravity is in the midline of the body. When the person flexes their right shoulder and holds their arm horizontally, the center of gravity will shift towards the left side of the body. This is because the weight of the arm is now being supported by the left side of the body. The shift in the center of gravity will cause the person to adjust their posture to maintain balance and stability.

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Polygon WXYZ is dilated by a scale factor of 3 with vertex W as the center of dilation, resulting in polygon W’X’Y’Z’. The coordinates of point ware (3,2), and the coordinates of point X are (7,5).

Answers

So the coordinates of point X' after dilation are (15, 11).

Polygon WXYZ is dilated by a scale factor of 3, with vertex W as the center of dilation. This means that the distances from vertex W to the other vertices are multiplied by 3, while W remains unchanged. Given the coordinates of point W are (3,2) and point X are (7,5), we can find the coordinates of point X' after dilation.

To do this, first determine the change in the x and y coordinates from point W to point X:

Δx =[tex]7 - 3 = 4\\[/tex]
Δy =[tex] 5 - 2 = 3[/tex]

Now multiply these changes by the scale factor of 3:

Δx' =[tex] 4 * 3 = 12[/tex]
Δy' =[tex] 3 * 3 = 9[/tex]

Now add these new changes to the original coordinates of point W to get the coordinates of point X':

X'(x) =[tex] W(x) + Δx' = 3 + 12 = 15[/tex]
X'(y) = [tex]W(y) + Δy' = 2 + 9 = 11[/tex]

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DUCK is a rectangle. Solve:
X=
UDK=

Answers

For the rectangle, the value x will be 14 and angle UDK will be 35°.

What exactly is a rectangle?

A rectangle is a four-sided polygon with four right angles (90-degree angles). It has opposite sides that are equal in length and parallel to each other. The rectangle is a special case of a parallelogram, where the opposite sides are also parallel. The two sides that are equal in length are called the "width" or "short side", while the other two sides are called the "length" or "long side". The area of a rectangle is found by multiplying its length by its width, while its perimeter is found by adding the lengths of all four sides.

Now,

As we know all angles of a triangle are 90°.

then 5x-15+2x+7=90

7x=98

x=14

and in triangle UDK

sum of all angles = 180°

∠UDK+90+5x-15=180

∠UDK=180-145

∠UDK=35°

Hence,

           the value x will be 14 and angle UDK will be 35°.

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A student starts a walk at (−6, 10). If the student walks 4 miles north, south, east, or west, which of the following could be their location at the end of the walk?


HELP ME PLEASE!!!

Answers

Answer: Assuming the student walks along a rectangular grid and not diagonally, the possible locations the student could end up after walking 4 miles in any direction would be the points that are 4 units away from the starting point in a north, south, east, or west direction.

Using this information, we can determine that the possible locations the student could end up at are:

(-2, 10)

(-6, 14)

(-10, 10)

(-6, 6)

Therefore, the answer is:

All of the above locations are possible endpoints.

Step-by-step explanation:

If the student walks 4 miles north, south, east, or west,  the location at the end of the walk are respectively, (-6, 14). (-6, 6), (-2,10). (-10, 10).

What is a coordinate plane?

The Cartesian plane, named after the mathematician René Descartes (1596 - 1650), is a plane with a rectangular coordinate system that associates each point in the plane with a pair of numbers.

Given that,

A student starts a walk at (-6, 10)

If the student walks 4 miles north, south, east, or west,

The location at the end of the walk =

Plotting dotted diagram,

                  East

                     |

North --------- |-------------- South

                     |

                  West

Suppose, he goes to north  direction

Then, 4 will be added to y coordinate,

It can be written as,

(-6, 14)

Similarly, for South, (-6, 6),  

East, (-2,10).

West, (-10, -10)

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A researcher found a study relating the distance a driver can see, y, to the age of the driver, When researchers looked at the association of x and y, they found that the coefficient of determination was =0.542. Select two conclusions that the researcher can make from this data. a.) The correlation coefficient, t, is-0 458. b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age. O c.) About 74% of the variation in the driver's age is explained by a linear relationship with the distance that the driver can see O d.) The correlation coefficient, t.is -0736. e.) About 46% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age. 1.) The correlation coeficient 0 271 A data set was grapned using a scatterpion 30 25 20 15 10 5 0 0 5 10 15 20 25 30 The correlation coefficient, r, is 0.813 Which of the following statements explains how the correlation is http/phoenix.sophia.org/tutorials/cautions-about-correlation-2/download ndf The correlation coefficient, r, is 0.813. Which of the following statements explains how the correlation is affected? O a.) It is affected by inappropriate grouping. O b.) It is not affected. c.) It is affected by an influential point. d.) It is affected by non-linearity. SUBMIT MY ANSWER Which of the following statements is TRUE? O a.) Low correlation implies causation b.) A high correlation means that the response variable is caused by the explanatory variable. O c.) High correlation does not always establish causation O d.) To imply causation, the correlation must be 1. SUBMIT MY ANSWER Javascriptvo do)

Answers

1)From the data:

Two conclusions that the researcher can make are:
b.) About 54% of the variation in the distance that the driver can see is explained by a linear relationship with the driver's age.
d.) The correlation coefficient, t, is -0.736. (This can be found by taking the square root of the coefficient of determination and considering the negative correlation)

2)"It is not affected" is the correct statement,that is option b

3)The "High correlation does not always establish causation" is the TRUE statement, that is option c .

What is Correlation?

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together.

A positive correlation indicates that as one variable increases, the other variable also increases.

A negative correlation indicates that as one variable increases, the other variable decreases. In other words, it shows the relationship between two variables and helps to understand if they are related or independent.

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Sara cut a 2 1/2 meter rope to hang a swing for her sister. How many centimeters is the rope

Answers

Length of the Sara's rope of 2 1/2 meter in centimeter is 25 centimeters.

To convert 2 1/2 meters to centimeters, we can use the conversion factor 1 meter = 100 centimeters. This means that:

2.5 meters = 2.5 x 100 centimeters

= 250 centimeters

Therefore, the length of the rope is 250 centimeters. It's important to understand and be able to convert between different units of measurement, as this is a common task in many fields such as science, engineering, and finance. For example, in science, it's important to be able to convert between different units of length, mass, and volume when making measurements or analyzing data. Similarly, in finance, it's common to convert between different currencies or units of time when dealing with investments or loans. Being able to make these conversions accurately is essential to avoid errors or misunderstandings. In this case, converting the length of the rope from meters to centimeters allows us to work with a more convenient unit for the task at hand, which is hanging a swing for Sara's sister.

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19. INVESTMENTS Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account
that earns 4% interest per year and the rest to a traditional account that earns 5% interest per year.
a. Write an expression that represents the amount of money invested in the traditional account.
b. Write a polynomial model in simplest form for the total amount of money T Kent has invested after one year.
(Hint: Each account has A + IA dollars, where A is the original amount in the account and I is its interest rate:)
c. If Kent put $500 in the bond account, how much money does he have in his retirement plan after one year?

Answers

Part a: Expression for conventional account: $(5000-x) at 5%pa.

Part b: polynomial model: T =  5250  -  0.01x

Part c: Sum of investments in retirement account: T= $5245.

Explain about the bond account?

When they need to raise money, governments and businesses issue bonds.

a. Create an expression to show how much money is invested in the conventional account.

Back $(5000-x) at 5%pa

b. Construct a polynomial model in its simplest form to represent the entire sum of investments made by T. Kent after a year (possibility: thus every account has A + iA dollars, in Which a is the account's initial balance and I is the interest rate).

The bond will increase to after a year to : x + 0.04x

= x(1+0.04)

= 1.04x   ...eq 1

So, after the time of one year this traditional account growth will be-

(5000-x) + 0.05(5000-x)

= 5000 - x  + 0.05*5000  -  0.05x

= 5000  -  x  + 250  -  0.05x

= 5250  -  1.05x  ..eq 2

From eq 1 and eq 2

T = 1.04x + 5250  -  1.05x

T =  5250  -  0.01x

c. If Kent invested $500 in bonds, how much will he have in the retirement account in a year?

x=500

T= 5250  - 0.01*500

T= 5250 - 5

T= $5245

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What is 35 to the nearest degree

Answers

I'm sorry, 35 is not a measure of angle and therefore cannot be rounded to the nearest degree. Are you asking for the sine, cosine, or tangent of 35 degrees?

Consider parallelogram ABCD below. Point E is the intersection of diagonals AC and BD.
Progress: 0/2
Part 1 of 2
4(-2,2)
D(-2,-10)
(a) Find the area of AABE.
cm
2
B (8.2)
C(8.-10)

Answers

234cm is the answer I believe

does the line ever match up perfectly? can the lines ever have the same slope? can the lines ever have the same y-intercept? why or why not?

Answers

No, the lines cannot ever match up perfectly because there is always some sort of difference between them. The lines can have the same slope if they have the same change in y-values for a given change in x-values. The lines can also have the same y-intercept if they cross the y-axis at the same point.

No, there will never be a perfect alignment between the lines since there will always be a discrepancy of some kind. However, the lines can have the same slope and y-intercept. This is possible because the slope and y-intercept are determined by the equation of the line, and if two lines have the same equation, then they will have the same slope and y-intercept.

If the lines intersect the y-axis at the same location, they can also have the same y-intercept. This means that the two lines have the same value of b in the equation y = mx + b. This means that the two lines have the same slope and the same y-intercept.

To learn more about equation of the line link is here

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There are 6 cups of oatmeal in a container. Stella eats ¼ cup of oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container?

Answers

It will take Stella 24 days to finish all the oatmeal in the container if she eats 1/4 cup every day for breakfast.

The container has 6 cups of oatmeal and Stella eats 1/4 cup every day for breakfast.

To find the number of days it will take Stella to finish all the oatmeal, we can use the formula:

Number of days = Total amount of oatmeal ÷ Amount of oatmeal consumed per day

Total amount of oatmeal in the container = 6 cups

Amount of oatmeal consumed by Stella per day = 1/4 cup

Number of days = 6 cups ÷ 1/4 cup = 24 days

Therefore, it will take Stella 24 days to finish all the oatmeal in the container if she eats 1/4 cup every day for breakfast.

Learn more about Basic Maths:

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