if $6700 is invested at 4.6% interest compounded semiannually, how much will the investment be worth in 15 years???

The correct equation to use is as follows:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where A is the amount after t years, P is the principal, r is the annual interest rate expressed as a decimal and n is the number of times the interest is compounded in a year.
Plugging in the given values we get:
[tex]A=6700(1+\frac{0.046}{2})^{(2\times 15)}[/tex]
After 15 years the investment will be worth $13,253.90

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2021-12-21T13:03:36+01:00

The total investment be worth in 15 years is $13253.90 and this can be determined by using the formula of compound interest.

Given :

$6700 is invested at 4.6% interest compounded semiannually.

The following steps can be used in order to determine the final amount:

Step 1 - The formula of compound interest can be used in order to determine the final amount.

Step 2 - The formula of compound interest is given below:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

where p is the principal amount, n is the total number of times interest compounded, r is the interest rate, t is the time period, and A is the final amount.

Step 3 - Now, substitute the values of the known terms in the above formula.

[tex]\rm A = 6700\times (1+\dfrac{0.046}{2})^{2\times 15}[/tex]

Step 4 - Simplify the above expression.

A = $13253.90

For more information, refer to the link given below:

https://brainly.com/question/25857212