1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tamiku [17]
2 years ago
11

How much money should be invested in an account that earns 8% interest compounded quarterly to yield $10,000 in 4 years? (Round

your answer to the nearest cent.)
Mathematics
1 answer:
sweet [91]2 years ago
4 0

Answer:

757,576cents

Step-by-step explanation:

Given

Amount = $10000

Time = 4years

Rate = 8%

n = 1/4 year (compounded quarterly

Using the formula to get the principal

A = P(1+r/n)^nt

10000 = P(1+0.08/0.25)^4(1/4)

10000 = P(1+0.32)

10000= 1.32P

P = 10000/1.32

P = 7575.76

Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents

You might be interested in
What is the solution of-+-&lt;?<br> 1 1 1<br> X35
sergij07 [2.7K]

Answer:

A. -\frac{15}{2} < x< 0

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

3 0
3 years ago
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a ra
n200080 [17]

Answer:

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.

Step-by-step explanation:

Area of rectangle = Height x Width

A = hw

The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.

\texttt{Rate of change of height = }\frac{dh}{dt}=3cm/hr\\\\\texttt{Rate of change of width = }\frac{dw}{dt}=-4cm/hr

Differentiating area with respect to time,

            \frac{dA}{dt}=h\frac{dw}{dt}+w\frac{dh}{dt}

We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.

          \frac{dA}{dt}=h\frac{dw}{dt}+w\frac{dh}{dt}\\\\\frac{dA}{dt}=5\times (-4)+9\times 3=-20+27=7cm^2/hr

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.

5 0
3 years ago
Please help me with this, i dont understand, nor do i know the answer
Gemiola [76]

Answer:

You will find the answer easily after doing the steps below.

Step-by-step explanation:

If you have graph paper, this is really easy to do. All you need to do is draw a graph. Then you will number the squares. Next, find the points (-2, 7) and (6, -9). Draw a line connecting the two points you have created.

5 0
2 years ago
Read 2 more answers
In the​ diagram, bisects FGI.
valentina_108 [34]

Answer:

C 100%

Step-by-step explanation:

3 0
2 years ago
Given that
Sophie [7]

Answer:

  • P = 22

Step-by-step explanation:

<u>We know that:</u>

  • P = 7x + 20 − 2y
  • x = 2
  • y = 6

<u>Work:</u>

  • P = 7x + 20 − 2y

<u>Substituting the given values</u>

  • P = 7(2) + 20 − 2(6)

<u>Solving</u>

  • => P = 14 + 20 - 12
  • => P = 22

Hence, the value of P is 22.

6 0
2 years ago
Other questions:
  • Find the median, Q1, Q3, interquartile range (IQR), and list any outliers. 2) 74, 63, 69, 62, 33, 79, 70, 60, 107, 119
    7·1 answer
  • How do you solve this and what is the answer
    8·1 answer
  • A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
    14·1 answer
  • The length L of a rectangle is 4 units more than its width W. The rectangle's are is 252 square units. A) Write the equation tha
    13·1 answer
  • The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
    12·1 answer
  • 2. (1 point)
    10·1 answer
  • Find the two numbers that have a product of -15 and a sum of -2<br> A -5<br> B 5<br> C -3<br> D 3
    11·1 answer
  • 2 1/2 divided by 2 1/3
    10·2 answers
  • Please help, I will mark brainliest!
    11·1 answer
  • Find the domain of y= 2/3 square root of x+5-4
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!