Use the compound interest formulas upper a equals upper p left parenthesis 1 plus startfraction r over n endfraction right parenthesis superscript nt and upper a equals pe superscript rt to solve the problem given.

round answers to the nearest cent.

find the accumulated value of an investment of $ 10 comma 000 for 7 years at an interest rate of 7 % if the money is :

a. compoundedsemiannually;

b. compounded quarterly;

c. compounded monthly

d. compounded continuously.

a. what is the accumulated value if the money is compounded semiannually? $ nothing (round your answer to the nearest cent.)

b. what is the accumulated value if the money is compounded quarterly? $ nothing (round your answer to the nearest cent.)

c. what is the accumulated value if the money is compounded monthly? $ nothing (round your answer to the nearestcent.)

d. what is the accumulated value if the money is compoundedcontinuously? $ nothing (round your answer to the nearestcent.)

Step-by-step explanation:

Initial amount deposited into the account is $10000 This means that the principal, P = 10000

The rate at which the principal was compounded is 7%. So

r = 7/100 = 0.07

It was compounded for 7 years. So

t = 7

The formula for compound interest is

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

A = total amount in the account at the end of t years.

a) compounded semi annually

It means that it was compounded twice in a year, so n = 2

Therefore

A = 10000 (1+0.07/2)^2×7

A = 10000(1.035)^14 = $16186.9

b) compounded quarterly

It means that it was compounded four times in a year, so n = 4

Therefore

A = 10000 (1+0.07/4)^4×7

A = 10000(1.0175)^28 = $16254.1

c) compounded monthly

It means that it was compounded 12 times in a year, so n = 12

Therefore

A = 10000 (1+0.07/12)^12×7

A = 10000(1.0058)^84 = $16254.6

d) compounded continuously

A = Pe^Rt

A = 10000e^7×0.07 = 10000×e^0.49

A = $16323.2

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8  

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;