ind the present value that will grow to $4000 if the annual interest rate is 8.5% compounded quarterly for 9 yr.
1 answer:
Answer:
$1876.31
Step-by-step explanation:
The present value can be found using the compound interest formula.
<h3>Present value</h3>The formula for the future value of an investment of P earning annual interest rate r compounded n times per year for t years is ...
FV = P(1 +r/n)^(nt)
Filling in the known values gives ...
4000 = P(1 +0.085/4)^(4·9) = P(1.02125^36)
Then the amount to be invested is ...
P = 4000/1.02125^36 ≈ 1876.31
The present value is $1876.31.
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Answer:
Option B
Answer:
250π
1000π
Step-by-step explanation:
(refer to attached)
volume of cylinder is given by:
V = π r²h,
where r = radius of base and h = height of cylinder
Given r = 5 and h = 10, hence
V = π r²h
V = π (5)²(10)
V = π (25) (10)
V = 250π (answer)
For the second case, r = 10 cm
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V = π (10)²(10)
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V = 1000π (answer)
