How much principal must be deposited to earn $1,000 simple interest in 250 days at a rate of 5.05%?

Answers

Answer 1

The principal must be deposited to earn $1,000 simple interest in 250 days at a rate of 5.05% is $28,514.85

How is simple interest determined?

The simple interest on deposit  is determined as the principal multiplied by the simple interest rate and the time of the deposit as shown below:

I=PRT

I=simple interest earned=$1,000

P=principal deposited=unknown

R=simple interest rate =5.05%

T=number of days that deposit lasted as a fraction of number of days in a year=250/360

$1000=P*5.05%*250/360

$1000=P*0.0350694444444444

P=$1000/0.0350694444444444

P=$28,514.85

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Related Questions

Quadrilateral ABCD - quadrilateral WXYZ, AB = 14 cm, BC = 28 cm, CD = 21 cm, and the scale factor of ABCD to WXYZ is 3/7. Find XY.

Answers

The length of the side of the quadrilateral is 12 cm.

A closed quadrilateral has a total of four sides,  four angles and four vertices.

It is a form of polygon. In order to create it, four are joined(not colinear ). Quadrilaterals always have a total internal angle of 360 degrees.Typically, quadrilaterals will have four-sided standard shapes like rectangles, squares, trapezoids, and kites or they may be irregular and undefined.Following is another approach to group different kinds of quadrilaterals: Quadrilaterals that are convex have two diagonals that are entirely enclosed within the figure.Concave Quadrilaterals: At least one diagonal extends partially or completely beyond the boundaries of the figure.Quadrilaterals that intersect: Quadrilaterals that intersect don't just have two non-adjacent sides cross each other.Quadrilaterals of this type are referred to as self-intersecting .

from the scale factor properties of quadrilaterals we know that:

Scale factor = BC ÷ XY

Now we substitute the values to find the length of XY.

[tex]or, \frac{3}{7} =\frac{BC}{XY} \\\\or, \frac{3}{7} =\frac{28}{XY}\\\\or, XY = 65.33..\\\\or, XY\approx65.33[/tex]

Hence the length of XY is 65.33 cm.

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You start a savings account with $200 and save $30 each month. Let f(n) be the amount in the account before the nth month. How much money will you have invested at one year?

Answers

The money you will have invested at one year is $560

What are linear equations?

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

How much money will you have invested at one year?

The given parameters are:

Initial = $200

Rate = $30

Let the number of months be n

So, we have

f(n) = Initial + Rate * n

This gives

f(n) = 200 + 30n

There are 12 months in a year

So, we have:

f(12) = 200 + 30 * 12

Evaluate

f(12) = 560

Hence, the money you will have invested at one year is $560

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05-x=13 solve for x
i need help ASAP

Answers

Answer: X= -8

Step-by-step explanation:

Rearrange your terms:

5-X=13

-x+5+13

Subtract 5 from both sides

Simplify those = -X = 8

Dive both sides by same factor, -1

Simplify again

Solution= X= -8

very important please help due today please

Answers

Answer:

According to my the answer is 32

Step-by-step explanation:

cuz 4 ÷ 1/8 becomes 4×8/1

which is 32

f(x) = 3x + 5
g(x) = 4x² - 2
h(x) = x²-3x+1
Find f(x) + g(x) - h(x).
O 3x² + 6x + 2
-O 3x²+2
O 6x2² +6x-1
O 5x² +4

Answers

After solving the expression we get 3x² ₊ 6x ₊ 2 .

Given f(x) = 3x₊5

g(x) = 4x² ₋ 2

h(x) = x² ₋ 3x ₊ 1

f(x)  ₊  g(x) ₋ h(x)

substitute the values.

3x ₊ 5 ₊ 4x² ₋ 2 ₋ (x² ₋ 3x ₊ 1)

4x² ₊ 3x ₊ 3 ₋ x² ₊ 3x ₋ 1

3x² ₊ 6x ₊ 2

hence we get 3x² ₊ 6x ₊ 2 .

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Rewrite the expression in an equivalent form where the radicand is a positive integer
with no perfect square factors.
√-12

Answers

The equivalent expression of √-12 is 2√-3

How to rewrite the expression?

The expression is given as

√-12

Express 12 as 3 * 4

So, we have

√-12 = √(-3 * 4)

Expand the expression

So, we have

√-12 = √-3 * √4

Take the square root of 4

√-12 = √-3 * 2

Evaluate

√-12 = 2√-3

Hence, the equivalent expression of √-12 is 2√-3

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PLEASE HElP 25 points math

Answers

Answer: 4q^2

Step-by-step explanation:

(-2q)^2=

(-2*q)^2=

(-2)^2 * q^2=

4 * q^2=4q^2

Evaluate the expression (p + 4)^2 for p = -5 and g = -2.

^2 is square 2

Answers

Answer:  1

=================

Work Shown:

(p+4)^2

(-5+4)^2

(-1)^2

1

Explanation:

We replace p with -5, since p = -5. Then use the order of operations PEMDAS to simplify. Keep in mind that (-1)^2 = (-1)*(-1) = 1. The two negatives cancel out. The value of g is never used.

-8|x/3+1|>-8

Please help me

Answers

Answer:

-6<x<0

Step-by-step explanation:

-8|x/3+1|>-8

-8|x/3+1|/(-8)>-8/(-8)

|x/3+1|<1

x/3+1<1

x/3<0

x<0

x/3+1>-1

x/3>-2

x>-6

-6<x<0

-12=6+2/3y pls helpppp

Answers

Answer:

Y= (-27)

Step-by-step explanation:

Well, I am assuming your just looking for Y. So what I did was you'd want to get rid of the fraction first. I multiplied 3 to all the numbers. so -12(3) = 6(3) + 2y since the bottom 3 from the fraction cancelled out with the (3). so now it would be -36=18+2y. -54/2=2y/2 which leads to -27. So I think Y= -27.

pls help! if the present value of an item is P and we experience an inflation rate of r for t years, blah blah blah I dont feel like writing the rest.

Answers

Answer: 89633.78

Step-by-step explanation: Hope this helps :)

$2.71 divided by 2.75 round to the nearest cent?

Answers

Answer: $0.99

Step-by-step explanation:

2.71/2.75=

0.98545=

0.98545=$0.99

9 cents




Explanation: you divide and the answer is 0.98 if you round, 0.9

50 points plus brainliest please help

Answers

Answer:

x = 14Angle 1 = 6°Angle 2 = 84°

Step-by-step explanation:

from the sign it's a right angle, so 90°

Find x

90 = x - 8 + 6x

90 + 8 = 7x

98 = 7x

x = 98 : 7

x = 14

------------------

check

90 = 14 - 8 + 6 * 14       (remember pemdas)

90 = 14 - 8 + 84

90 = 90

the answer is good

Find angle 1

x - 8

14 - 8 =

Find angle 2

6x

6 * 14 = 84°

--------------------

check

84 + 6 = 90°

the answer is good

Answer:

[tex]\textsf{a)} \quad \textsf{Equation}: \quad \boxed{x-8+6x=90}[/tex]

[tex]\begin{aligned}\textsf{b)} \quad m \angle 1 & =\boxed{6^{\circ}}\\ m \angle 2 & =\boxed{84^{\circ}}\end{aligned}[/tex]

Step-by-step explanation:

Part (a)

From inspection of the given diagram, the sum of the two angles is 90° (indicated by the right angle sign):

[tex]\implies m \angle 1+m \angle 2=90^{\circ}[/tex]

[tex]\implies (x - 8)^{\circ} + (6x)^{\circ} = 90^{\circ}[/tex]

[tex]\implies x-8+6x=90[/tex]

[tex]\textsf{Equation}: \quad \boxed{x-8+6x=90}[/tex]

Part (b)

To find the measure of each angle, solve the equation for x:

[tex]\implies x-8+6x=90[/tex]

[tex]\implies x+6x-8=90[/tex]

[tex]\implies 7x-8=90[/tex]

[tex]\implies 7x-8+8=90+8[/tex]

[tex]\implies 7x=98[/tex]

[tex]\implies \dfrac{7x}{7}=\dfrac{98}{7}[/tex]

[tex]\implies x=14[/tex]

Substitute the found value of x into the expression for each angle:

[tex]\implies m \angle 1=(x-8)^{\circ}[/tex]

[tex]\implies m \angle 1=(14-8)^{\circ}[/tex]

[tex]\implies m \angle 1=\boxed{6^{\circ}}[/tex]

[tex]\implies m \angle 2=(6x)^{\circ}[/tex]

[tex]\implies m \angle 2=(6 \cdot 14)^{\circ}[/tex]

[tex]\implies m \angle 2=\boxed{84^{\circ}}[/tex]

which is the factor of 6z² - 3z -2 + 4?

Answers

Answer: 5732

Step-by-step explanation:

Answer: 6z^2-3z-2

Step-by-step explanation: hope this helps a little !!!!

Confused with this problem please help. "The measure of the supplement of an angle exceeds 3 times the measure of the complement by 30. Find the measure of the supplement."

Answers

i think the answer is 10

Which of the following is the inverse of F(x)= 3-x/5

A. F-1(x)= 3 - x/5
B. F-1(x)= 5+x/3
C. F-1(x)= 5x - 3
D. F-1(x)= 3-5x

Answers

Answer:

Step-by-step explanation:

B

ms. justen had 250 students. every year after she had 100 students. calculate the amount of students she's had in 7 years

Answers

The students she's had in 7 years is 850.

How to calculate the value?

It should be noted that we want to find the 7th term. This will be:

a + (n - 1)d

a = First term = 250

d = Difference = 100

n = Number = 7

Therefore, a + (n - 1)d

= 250 + (7 - 1)100

= 250 + 600

= 850

Therefore, the students she's had in 7 years is 850.

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Explain why subtracting a positive number is the same as adding its inverse.

Answers

Explanation:

To add a negative number, we are basically subtracting it because of this:
Example:
10 - 5 = 5

10 + (-5) = 5

The negative sign cancels out the positive which makes it into a subtraction problem instead.

if a figure is a rectangle, then it has four sides

Answers

Answer:

True

(If it has 4 sides it is also known as a Quadrilateral!)

Step-by-step explanation:

Answer:

yes

the reson for htis is b/c retangles are qudrilateral and quadtrialterals have four sides

a stick is broken into 3 pieces, by randomly choosing two points along its unit length, and cutting it. what is the expected length of the middle part?

Answers

The expected length of the middle part of the stick is 1/3

We know that the Symmetry Principal,

When n points are drooped on a unit segment, the distributions of lengths of the so obtained n + 1 pieces are all the same.

Let the two points have coordinates x and y. Then the expected value of the middle segment is:

[tex]\int\limits^1_0 \int\limits^1_0 {x-y} \, dx~ dy = \frac{1}{3}[/tex]

Let L be the expected value of the length of the middle part of a stick. Since, according to the Symmetry Principle, the lengths of all three segments have the same distribution, their lengths have the same expected value, viz., L.

But in any experiment, the lengths of the three pieces add up to 1.

⇒ 3L= 1

⇒ L = 1/3

Therefore, the expected length of the middle part of the stick is 1/3

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write the equation of each line in slope-intercept form. then graph the line described by the equation

passes through (5,-4) and (-6,5)

(the question is number 6)

Answers

Use the formula y2-y1 over x2-x1

pls help What is the sum? will mark brainiest

47+ 85⎯⎯⎯⎯⎯⎯⎯

Answers

Answer:

132

Step-by-step explanation:

The awsner is 132
By doing 47+ 85!

Which perfect squares are nearest the square root of 11?

Answers

The perfect squares which are nearest to the square root of 11 as in the task content are; 1 and 4.

Which perfect squares are nearest the square root of 11?

It follows from the task content that the perfect squares which are nearest to the square root of 11 are to be determined.

Hence, one must first determine what the square root of 11 is as follows.

The square root of 11 as given in the task content is; √11 = 3.32.

Hence, the numbers which are perfect squares and closest to the number 3.32 are; 1 and 4.

Consequently, it follows that the perfect squares as required are; 1 and 4.

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If the theoretical value of a quantity is 3.142, and the calculated value is 3.16, what is the fractional error?

Answers

The fractional error for given example is 0.0057

For given question,

the theoretical value of a quantity is 3.142,

and the calculated value is 3.16

We know that, the fractional error is the ratio of the absolute difference and the accepted value.

Fractional error =  absolute difference / accepted value

Fractional error = |E - A| / A

Here, A = 3.142

E = 3.16

So, the absolute difference would be,

|E - A| = |3.16 - 3.142|

          = 0.018

Now we find the fractional error.

⇒ Fractional error = |E - A| / A

⇒ Fractional error = 0.018 / 3.142

⇒ Fractional error = 0.0057

Therefore, the fractional error for given example is 0.0057

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for each part, compare distributions (1) and (2) based on their means and standard deviations. you do not need to calculate these statistics; simply state how the means and the standard deviations compare

Answers

(a) The mean of (2) will be greater than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the maximum of (1) is smaller than the maximum of (2)

(b) The mean of (2) will be smaller than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the minimum of (2) is smaller but negative than the minimum of (1) which is also negative.

(c) The mean of (2) will be more than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the maximum of (1) is smaller than the maximum of (2)

(d) The mean of (2) will be smaller than the mean of (1) and the distribution of (2) will have smaller variation as compared to the distribution of (1) because the range of (1) is greater than the range of (2)

Define mean and distribution?

The mean is a measure of the central trend of a probability distribution along the median and the mode.

a distribution is the set of all possible values for terms representing defined events.

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Which is an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity?

0.2d14
negative 2 over quantity 9 times d raised to the fourth power end quantity
72 over d raised to the fourteenth power
2 over quantity 9 times d raised to the fourteenth power end quantity

Answers

The equivalent expression using laws of exponents gives us; 2 over quantity 9 times d raised to the negative fourteenth power end quantity

How to use laws of exponents?

We want to write an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity. This can be expressed as;

4d⁻⁵/18d⁹

Now, according to laws of exponents, we know that;

x²/x³ = x²⁻³ = x⁻¹

Applying that law to our question gives us;

4d⁻⁵/18d⁹ = (4/18)(d⁻⁵⁻⁹)

= (4/18)(d⁻¹⁴)

Now, the expression 4/18 can be broken down to 2/9. Thus, our final expression is; ²/₉d⁻¹⁴

Writing that in words gives;

2 over quantity 9 times d raised to the negative fourteenth power end quantity

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Answer: 2/9d^14 or 2 over 9 times d to the 14th power

             

Step-by-step explanation: AFOKE88 gave the same answer. this answer is correct you just have to understand how to write this equation in word form to understand them. they also gave a great explanation for those who need it.

Please help with problem 10

Answers

Answer: 13 ==> B

Step-by-step explanation:

x=-3, y=4, z=-1

|2x-3y|+5z=

|2(-3)-3(4)|+5(-1)=

|-6-12|-5=

|-18|-5=

18-5=13 ==> B


A square pyramid has a volume of 4320 cubic inches. What is the volume of this pyramid in cubic feet?

Answers

The volume of the given square pyramid in cubic feet is 2.5 cubic feet.

Given that, a square pyramid has a volume of 4320 cubic inches.

We need to find the volume of this pyramid in cubic feet.

What is the volume of a square pyramid?

The volume of a square pyramid is one-third of the product of the area of the base and the height of the pyramid. Thus, volume = (1/3) × (Base Area) × (Height).

To convert from cubic inches to cubic feet, divide your cubic inches figure by 1728.

Now,  4320/1728 = 2.5 cubic feet

Therefore, the volume of the given square pyramid in cubic feet is 2.5 cubic feet.

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please help!!!
i need to find the area of a rectangle with length of three inches and width of 8 inches.

Answers

Answer:

24 inches square

Step-by-step explanation:

Area = length x width

A = 3 x 8 = 24

90% is 60 of what number

Answers

Answer:

Step-by-step explanation:

150 90x 100/60

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