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slega [8]
4 years ago
8

Suppose you invest 16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?

Mathematics
1 answer:
forsale [732]4 years ago
5 0

Answer:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one.

Step-by-step explanation:

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Find, if it exists, a value c in the interval [1, 4] such that the instantaneous rate of change of f(x) = 12<img src="https://te
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Answer:

  c = 2.25

Step-by-step explanation:

f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.

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Read 2 more answers
suppose 7,500 is invested at 1.5%, compounded continuously. what will the account balance be in 16 years?​
viktelen [127]

Answer:

\boxed {\boxed {\sf \$9,534.37}}

Step-by-step explanation:

The formula for continuously compounded is:

A=Pe^{rt}

where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.

The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.

  • 1.5/100= 0.015         or           1.5 --> 0.15 --> 0.015

Now we know all the values and can substitute them into the formula.

P= 7500 \\r= 0.015 \\t= 16

A= 7500(e^{0.015*16})

Solve the multiplication in the exponent first.

A= 7500(e^{24})

Solve the exponent.

A= 7500 (1.27124915)

A=9534.368627

Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.

A=9534.37

The account balance will be <u>$9,534.37</u> after 16 years.

7 0
3 years ago
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