The formula for calculating the amt of money returned for an initial deposit into a bank acct. or CD(Certificate of deposit) is given by: A = P ( 1+r/n)^nt: ;A is the amt of the return, P is the principal amt initially deposited, R is the annual int. rate (expressed as a decimal), N is the # of compound prds in one yr, T is the # of yrs. Carry all calculations to 6 decimals on each intermediate step, then round the final answer to the nearest cent. Suppose you deposit $4,000 for 8 yrs at a rate of 7 %.. a) Calculate the return (A) if the bank compounds annually (n=1). Round your answer to the hundredths place, Answer and show your work. Use ^ to indicate the power or use the Equation Editor in MS WOrd, B) Calculate the return (A) if the bank compounds monthly ( n=12). Round your answer to the hundredths place, c) Does compounding annually or monthly yield more interest? Explain why. d) If a bank compounds continuously, then the formula used is A=Pe^rt where e is a cons
Can you help solve this problem in Math:?
(a)
$4000(1 + 0.07)^8
= $6872.74.
(b)
$4000(1 + 0.07/12)^(8 * 12)
= $6991.31.
(c)
Monthly. With annual compounding, only the principal at the start of each year earns interest during that year. With monlthly, the interest from month 1 earns interest in months 2-12, the interest from month 2 earns interest in months 3-12, and so on.
(d)
$4000e^(0.07 * 8)
= $7002.69.
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