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FrozenT [24]
3 years ago
11

Income Suppose income from an endowment is generated at the annual rate of $42,000 per year. Find the capital value of this endo

wment at an interest rate of 7.5% compounded continuously.
Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

Capital value after 1 year will be equal to $45150

Step-by-step explanation:

We have given principal amount P = $42000

Rate of interest r = 7.5 %

Time t = 1 year

Capital value is given by A=P(1+\frac{r}{100})^n

So A=42000\times (1+\frac{7.5}{100})^1

A=42000\times 1.075=45150

So capital value after 1 year will be equal to $45150

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N=3, zeros 4 and 2i, f(2)=-48 find nth degree polinomonal function
enot [183]
The degree is 3, the zeros are; 4, 2i, -2i and a point is (-48, 2) 

For zeros; 2i, -2i <-- complex conjugates, always in pairs 

\frac{c}{a}=(2i)(-2i) &#10;
= -4(i²=-1)
=5 

\frac{b}{a}=-(2i+(-2i))
=0 

Therefore the equation is; a(x^{2}+5) <-- b value is zero 

Rewrite the equation with all zeros; 

a(x-4)(x²+5)=f(x) <-- put in coordinates of the points to find the value of x
a(2-4)(2²+5)=-48 
a(2)(9)=-48 
a=-48/18 
a=-8/3 

The final polynomial function is; (-8/3)(x-4)(x²+5)=f(x)

Hope I helped :)
5 0
3 years ago
Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh
beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = \frac{80000}{\pi(64)^{2}}=6.2169899

∴ The height of the water = 6.2 in. to the nearest tenth

 

5 0
3 years ago
Write y=-3/4 x-2 in standard form using integers.
jeyben [28]
Standard form is Ax + By = C

y = (-3/4)x - 2

Multiply both sides by 4.

4y = -3x - 8

Add 3x on both sides

3x + 4y = -8

Your final answer is 3x + 4y = -8.
8 0
2 years ago
What is 4/10, 6/20, and 10/25 in simplest form?
Dennis_Churaev [7]
4/10 in simplest form is 2/5
6/20 in simplest form is 3/10
10/25 in simplest form is 2/5
3 0
3 years ago
Read 2 more answers
Kate jogged a total distance of 8 1/2 miles during the months of January and February if katie only jogged 1/4 mile everyday whi
swat32
Since in this equation we are dividing 17/2 by 1/4, we can think of this as multiplying 17/2 with 4/1 (or 4).

17 4
---- X ----- = 34
2 1

Our final answer is 34 days.
3 0
3 years ago
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