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1 answer:
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Answer:
A = 12000(1.0002466)²⁹²⁰
Step-by-step explanation:
The formula for the amount after compound interest is:
"A" is the amount, or balance.
"P" is the principal, or starting amount/investment.
"i" is the interest rate for each compounding period.
"n" is the number of compounding periods.
The interest rate each compounding period, "i", is calculated with i=r/c
"r" is the annual interest rate in decimal form.
"c" is the compounding frequency. (If compounded annually, c=1. If monthly, c=12.)
The number of compounding periods, "n", is calculated with n=tc.
"t" is the time in years.
"c" is the compounding frequency.
In this problem:
t = 8
P = 12,000
r = 9%, or r = 0.09 for decimal form.
c = 365
Calculate "i" and "n".
i = r/c
i = 0.09/365
i = 0.00024657534
i ≈ 0.0002466
n = tc
n = 8(365)
n = 2920
Substitute these back into the formula:
A = P(1 + i)ⁿ
A = 12000(1+0.0002466)²⁹²⁰
A = 12000(1.0002466)²⁹²⁰
Answer:
D. No, the should have canceled out in step 4 making the correct answer 5.5mm.
Step-by-step explanation:
All the steps that Arden took were correct up until the last step:
1. V = Bh ⇒ 88 =
*4^2 * h = 16
2. Divide by 16 from both sides: h = 88
/ 16
= 88/16 = 5.5
Arden forgot to cancel out the pi from both the numerator and denominator, so her answer should have been 5.5 mm, not 5.5 mm.
Thus, the answer is D.
Hope this helps!