Based on the rate of change, the total charge will be $ 12.60 in 4 days
After how many days was the total charge in $ 12.60?From the question, we have the following parameters that can be used in our computation:
Rate of change of investment = $3.15
Value of the investment = $12.60
Using the above as a guide, we have the following:
Number of days = Value of the investment/Rate of change of investment
Substitute the known values in the above equation, so, we have the following representation
Number of days = 12.60/3.15
Evaluate
Number of days = 4
Hence, the number of days is 4
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Solve the following for θ, in radians, where 0≤θ<2π.
−7cos2(θ)+4cos(θ)+6=0
Select all that apply:
1.07
3.96
0.31
2.32
1.68
2.43
Answer:correct answers are 3.96
2.32
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
-7u^2 + 4u + 6 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = -7, b = 4, and c = 6. Substituting these values, we get:
u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)
u = (-4 ± sqrt(136)) / (-14)
u = (2 ± sqrt(34)) / 7
Therefore, either:
cos(θ) = (2 + sqrt(34)) / 7
or:
cos(θ) = (2 - sqrt(34)) / 7
Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:
θ = arccos((2 + sqrt(34)) / 7)
θ = arccos((2 - sqrt(34)) / 7)
Using a calculator, we find:
a principle has given a class 75 dollars to help pay for a field trip to the zoo
Answer:
5p + 75> 386
Step-by-step explanation:
principal has given $75
Total cost of trip = $386
price of a pie = $5
5p + 75 ≥ 386
where does the food go when you eat
Answer:
down your esophagus into your stomach
Step-by-step explanation:
After you swallow, peristalsis pushes the food down your esophagus into your stomach. Stomach. Glands in your stomach lining make stomach acid and enzymes that break down food. Muscles of your stomach mix the food with these digestive juices.
Kevin is k years old. Ben is 8 years older than Kevin. Hannah is 2 times older than Ben. What is Hannah’s age?
Answer:
2k+16
Step-by-step explanation:
Kevin: k
Ben: 8 years older than k, k+8
Hannah: 2 times Ben's age, 2(k+8)=2k+16
Great coffee cup fountain
According to Karissa's method, Brand B is the winner as it is the most effective and less costly and must be promoted in commercials.
How to solveGiven:-
Data collected by the official observations for each brand at 10 minute intervals.
To find which method should be applied to determine the winner? why? which brand should be declared the winner and promoted in the commercial?
In this given data and what to be obtained is described in it.
Step 2/2
Kariss's method should be applied to determine the winner.
As it fills the amount of liquid paper towel can soak, which of liquid paper can soak, which would directly relate the costs of purchasing on other.
Side Bryce's method should not be used are time is not be used are time is not as important factor as papers A, B, and C have marginal differences.
So Karissa's method would directly help us to determine the most cost-effective to efficient towel brand.
Based on the table:-
Brand A= 40 towels per minute
Brand B= 17 towels per minute
Brand C= 30 towels per minute
In this the solution is obtained by dividing the number of towels by the minute and solving the solution is obtained.
So, according to Karissa's method Brand B is the winner as it is the most effective and less costly and must be promoted in commercials.
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A box falls off a window ledge on a tall building. The height of the box above the ground can be found using the function h(t)=-16t^2+150, where r stands for the number of seconds since the box fell.
a). Find the height of the window ledge.
Answer:
The height of the window ledge is the height of the box when t = 0. So, we need to find h(0).
```
h(0) = -16(0)^2 + 150
h(0) = 150
```
Therefore, the height of the window ledge is 150 feet.
Step-by-step explanation:
Describe and correct the error in simplifying the expression.
(2e^-3x)^4= 1/16e^12x
The correct solution of the expression is,
⇒ 16 / e¹²ˣ
We have to given that;
The value of Expression is,
⇒ (2e⁻³ˣ)⁴
Now, We can simplify as;
⇒ (2e⁻³ˣ)⁴
⇒ 2⁴ × e⁻¹²ˣ
⇒ 16e⁻¹²ˣ
⇒ 16 / e¹²ˣ
Thus, The correct solution of the expression is,
⇒ 16 / e¹²ˣ
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Give the equation of the circle centered at the origin and passing through the point (0, 6).
The equation of circle is x² + y² = 36.
We have,
Center= (0, 0)
Passing point = (0, 6)
We know the equation of circle is
(x-h)² + (y-k)² = r²
where (h, k) be the center and r be the radius.
Now, the radius of circle is
= √(6-0)² + (0-0)²
= √36
= 6 unit
So, the equation of circle
(x-0)² + (y-0)² = 6²
x² + y² = 36
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Triangle ABC
A
B
C
and triangle DEF
D
E
F
are similar. What is the measure of side DF
D
F
?
Answer:
DF = 15 cm
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )
[tex]\frac{DF}{9}[/tex] = [tex]\frac{25}{15}[/tex] ( cross- multiply )
15 DF = 9 × 25 = 225 ( divide both sides by 15 )
DF = 15
Answer:
12
Step-by-step explanation:
1. Use the Pythagorean theorem for triangle ABC
a squared (one side of the triangle) + b squared (another side) = c squared (hypotenuse)
so
c squared - b squared = a squared
225 - 81 = 144 ( Find the square root )
which is 12
since Triangle ABC is the same with Triangle DEF then
DF = 12
Which of the following functions are vertical translations of f(x)=√x?
Select all that apply.
A. K(x)=√√√-5+x
B. n(x) = -7+ √x
C. g(x)=√x -4
D. h(x)=3+√x
E. m(x)=√5x
Answer:
The function f(x) = √x is the square root function.
A vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.
Option (A) is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. However, it is not a vertical translation that shifts the graph up or down.
Option (B) is a vertical translation of f(x) because it shifts the graph of f(x) down by 7 units.
Option (C) is a vertical translation of f(x) because it shifts the graph of f(x) down by 4 units.
Option (D) is a vertical translation of f(x) because it shifts the graph of f(x) up by 3 units.
Option (E) is not a vertical translation of f(x) because it involves multiplying the input of f(x) by a constant factor of 5.
Therefore, the options that are vertical translations of f(x) are (B), (C), and (D).
Step-by-step explanation:
plot the point whose polar cord are (3, -135 degrees) pick graph below
The plot of the given point must be at.
the third circle and at the 9th ray clockwise from the positive x-axis.
How to plot the point in polar coordinates?Here we want to plot the point (3, -135°).
Remember that a point whose polar coordiantes are (R, θ) must be ploted along the circumference of a circle of radius R, at the angle θ measured counterclockwise from the positive x-axis.
Then here we need to have a circle of radius of 3 units, and plot the point at -135° from the positive x-axis.
Now, each of the rays has 15° on it, then the point should be graphed on the third circle (radius of 3 units) and at the 9th ray clockwise from the positive x-axis (clockwise because the angle is negative, and 9th ray because 9*15 = 135)
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Part E
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___
Isaiah's total earnings after picking 10 baskets of apples and peaches each is: $117
How to solve Algebra Word Problems?Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.
We are told that Isaiah as already earned $24 picking apples and $18 picking peaches.
Amount for each basket of apple = $3 each
Amount for each basket of Peach = $4.5 each
Thus, for 10 baskets each:
Apples = 10 * 3 = $30
a = 24 + 30
a = $54
Peaches = 10 * 4.5 = $45
p = 18 + 45
p = $63
Total earnings = a + p
= $54 + $63
= $117
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Complete question is:
Isaiah picks fruit at a local orchard. He has already earned $24 picking apples and $18 picking peaches. He earns $3 for each basket of apples and $4.50 for each basket of peaches picked.
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___
Find the value of x,y and z in the rhombus below
Answer:
-10x - 8 + 98 = 180
-10x + 90 = 180
-10x = 90
x = -9
-y - 5 = 98
-y = 103
y = -103
-2z + 8 + 98 = 180
-2z + 106 = 180
-2z = 74
z = -37
26=-9w-2w-18?????????????????
Answer:
w = -4
Step-by-step explanation:
Hope this helps
find the least common denominator
The nominal exchange rate is 90 Pakistani rupees per dollar. The price of a shirt in Pakistan is 1800 rupees. The same shirt sells for $25 in the U.S. What is the real exchange rate? Can arbitragers make a profit? If yes, where would they buy and where would they sell?
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
We have,
The real exchange rate represents the relative price of goods and services between two countries.
It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.
To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.
1800 rupees / 90 rupees per dollar = $20
The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.
The real exchange rate (RER) is calculated as:
RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price
RER = (90 rupees per dollar * 1800 rupees) / $25
RER = 6480 / $25
RER = 259.2
The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.
Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.
The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.
In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.
This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.
Therefore,
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
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What meaning of the statement this: subgroups partition groups into subsets of equal size?
Answer:
This statement means that subgroups divide a larger group into smaller groups, and each of these smaller groups has the same number of things in it. For example, if there are 12 people in a group, and they form subgroups of 3 people each in a group, there will be 4 groups total, and each individual subgroup will have 3 people in it.
looking for answer and explination
1) Note the the linearization of th function f(X) at a =1 is l(x) = 2x-3
2) since l(x) = 2x-3, f(1.01) is = - 0.98
Linearization is the process of converting a nonlinear function's gradient with respect to all variables into a linear representation at that moment.
for the above prompt , we have to use the formula:
l (x) = f(a) + f' (a) (x-a)
where (a) is the value fo the function at point a
and f' (a) is the derivative of the function evaluated at point a.
Using a = 1, f(a) becomes:
f(1) = 2 (1) ⁵ - 8 (1) + 5
f (1) =-1
f(x) = 10x⁴ -8
So f' (1 ) when evalutated will give us the slope of the tangent line at x =1
Thus,
f (1 ) = 10 (1)⁴ -8
= 2
Hence substituting all the values into th e linearization formula we get:
l(x) = f( 1) + f '(1) (x-1)
= -1 + 2 *( x-1 )
= -1 + 2x - 2
= 2x -3
This means that the linearization of the function f(x ) at a= 1 is l(x) = 2x-3
b) Given the l(x) above, f(1.01) gives us:
l(x) = 2x -3
= 2 (1.01) -3
= - 0.98
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You pick a card at random.
1 2 3
What is P(divisor of 54)?
Write your answer as a percentage.
%
The probability in percentage form is P(divisor of 54) = 29.6%
How to find the probability?The divisors of 54 are:
2, 3, 6, 9 (in the range we care)
Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.
So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:
P(divisor of 54) = 16/54
P(divisor of 54) = 0.296
To write it as a percentage just multiply it by 100%.
P(divisor of 54) = 0.296*100% = 29.6%
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if a baseball team has lost 50 matches out of the 120 matches played in total find out their winning percentage
Answer:
58.3%
Step-by-step explanation:
120-50=70 (wins)
120 is 100% wins
70. ??
We multiply 70 by 100% then divide by 120.
Find the surface area of the cube.
You should have atleast 2 steps shown in your work.
(Need help!!!)
Step-by-step explanation:
Each of the six sides is 7 mm x 7 mm = 49 mm^2
times six sides : 6 * 49 mm^2 = 294 mm^2
Answer:Area = Side2 = a2
Therefore, the total surface area of a cube = 6 × (area of each side)
= 6 × a2 = 6a2 Square Unit
soooooooooo
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
x = 9
Step-by-step explanation:
We Know
A circle is 360°
An angle is 85° & one is 130°
Find x
We Take
85° + 130° + 16x + 1 = 360°
216 + 16x = 360°
16x = 144°
x = 9
determine the value of x (asap)
The values of the missing terms are 1) 24 and 2) 1.6.
Given are two similar figures, we need to find the value of x,
According to the definition of similar figures, the ratios of the corresponding sides are equal,
So,
1) GE / EF = RS / TR
5/6 = 20/x
5x = 120
x = 24
2) JH / LK = WX / ZY
3.84 / 2.04 = 3.2 / x
3.84x = 2.04 × 3.2
3.84x = 6.528
x = 1.7
Hence, the values of the missing terms are 1) 24 and 2) 1.6.
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select the correct answer. which expression is equivalent to this polynomial ? x^2 +12
The expression that is equivalent to this polynomial "x²+12" is option A. (x + 2√3i) (x — 2√3i)
How did we get the value?In mathematics, a polynomial is an expression consisting of variables and coefficients that concern only the operations of addition, subtraction, multiplication, and nonnegative integer exponents.
A. (x + 2√3i) (x — 2√3i)
= (x² + 2√3i)² (i² = -1)
= (x² - 12x (— 1)
= x² + 12
B. (x + 6i) (x - 6i)
= (x² - (6i)²
= x² + 36
C. (x + 2√3)²
= x² + 4√3x + 12
D. (x + 2√3) (x - 2√3)
= x² - (2√3)²
= x² - 12
Therefore, the correct answer is as given above. Option A. (x + 2√3i) (x — 2√3i) is equivalent to the given polynomial.
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The complete question goes thus:
Which expression is equivalent to this polynomial?
x²+12
OA. (x + 2√3i) (x — 2√3i)
B. (x+6)(x-61)
Oc. (x + 2√3)2
OD. (x + 2√3) (x - 2√3)
full method please
(-9+5)+7×(-3)please
Evaluating the expression (-9+5)+7×(-3), we get -25
Evaluating the expressionFrom the question, we have the following parameters that can be used in our computation:
(-9+5)+7×(-3)
Evaluate the expressions in the bracket
So, we have
-4 + 7 * -3
Evaluate the products
So, we have
-4 - 21
Lastly, we have
-25
Hence, the solution is -25
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11. If the revaluation of the asset is higher than the carrying value, the following entries will be made via the revaluation account; Debit Asset account and Credit Capital account of each partner. True/False?
Answer:
False. If the revaluation of the asset is higher than the carrying value, the following entries will be made: Debit Asset account and Credit Revaluation reserve account. The revaluation reserve account is a balance sheet account and does not affect the capital accounts of the partners directly. However, the revaluation reserve may indirectly affect the capital accounts of the partners if the revaluation reserve is distributed to the partners or used to offset losses in the future. It is worth noting that the specific accounting treatment may vary depending on the accounting standards being used by the company.
Step-by-step explanation:
I've been struggling a lot with interpreting what this problem wants me to find.
The plane departs an airport at 9:00 AM and flies 200 mph southwest. A second plane ldeparts the same airport at 9:30 AM and flies 320 mph northwest. Find the bearing of the second plane from the first one at 10:00 AM.
The reason: I've heard some people say a bearing has to be in one direction (north). I've also heard that a bearing has to be an acute angle and some insist there is an answer to this greater than 90º.
I drew out a diagram with a right triangle, legs of 200 and 160 (320 ÷ 2 for the half hour), separated my right triangle into two triangles with 45º angles, and went from there.
Where the hypotenuse and the 160 side meet, the angle is 51.34º. The 200 side makes a 38.66º angle (both came from arctan). I know for a fact there is an 83.66º angle that can be found.
Trouble is, I'm not sure if that's the actual bearing or not. Everything SEEMS correct there, but I've just heard so many other answers on this that I'm not sure who or what to believe!
Figured I'd see what everyone else thought. It's the "second from the first" that I'm struggling with semantically too. I can do the math just fine here.
Answer:
6.34°
Step-by-step explanation:
You want to know the bearing of a second plane from the first at 10 a.m. when the first leaves at 9 a.m. and flies 200 mph SW, while the second leaves at 9:30 a.m. and flies 320 mph NW.
LocationsThe first plane flies for an hour at 200 mph, so is 200 miles from the airport on a bearing of 180° + 45° west of south, or 225°.
The second plane flies for half an hour at 320 mph, so is 160 miles from the airport on a bearing of 360° -45° west of north, or 315°.
DirectionThe vector in the direction of the second plane from the first is found by subtracting the location of the first plane from the second:
vector of interest = (160∠315°) -(200∠225°)
A suitable calculator can tell you the difference is ...
vector of interest = 256∠6.34°
The second plane is on a bearing of 6.34° from the first.
__
Additional comment
You are correct that an angle of 83.66° is involved. That would be the measure of the direction vector counterclockwise from the +x axis. You want the bearing angle, measured clockwise from the +y axis (North), so the angle you're looking for is 90° -83.66° = 6.34°.
If you work enough of these problems, you will find that it doesn't matter how you measure the angles, as long as you do it consistently. The second attachment shows the arithmetic using distance∠bearing. The effect is to swap the x, and y coordinates so that they are (N, E) coordinates, rather than the usual (E, N) coordinates. This doesn't have to be confusing. A diagram usually helps.
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If a company uses standard costs to record its inventory in the general ledger, what would the journal entry be for a purchase of direct materials with a favorable price variance?
The journal entry for the company is Debit - Raw Materials Inventory - Standard Cost, Credit - Accounts Payable - Actual Cost.
When a company uses standard costs to record its inventory in the general ledger, the journal entry for a purchase of direct materials with a favorable price variance would be as follows
Debit - Raw Materials Inventory - Standard Cost
Credit - Accounts Payable - Actual Cost
The debit entry would record the standard cost of the direct materials purchased, and the credit entry would record the actual cost of the direct materials purchased, which is lower than the standard cost due to the favorable price variance.
It's important to note that this journal entry assumes that the company is using a perpetual inventory system, where the inventory account is updated continuously as purchases and sales occur. If the company is using a periodic inventory system, the journal entry would be different and would involve adjusting the cost of goods sold account at the end of the period.
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If csc(x) = 2, for 90° < x < 180°, then
sin(x/2)=
cos(x/2)=
tan(x/2)=
Mrs hanger is painting the following picture of a h to hang in the entryway of her home she has made the following scale as her model the scale is used on the drawing is 1:6 on the scale drawing h is centered on the page and 5/6 inches from the top bottom and sides of the drawing as you can see the h is to be painted red in the center of a rectangular beige background what is the actual width of the painting what is the actual height of the painting what is the actual height of the h actual width of the h through the center actual distance from the left edge of the painting to the left edge of the h