The effective rate is calculated in the following way:
$r = {(1 + \frac{i}{n} )}^{n} - 1$
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
$r = {(1 + \frac{8\%}{2}) }^{2} - 1 \\ r = {(1 + \frac{1}{25}) }^{2} - 1 \\ r = \frac{676}{625} - 1 \\ r = 0.0816 \: or \: 8.16\%$

5 0

3 years ago

Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown.

professor190 [17]

Answer:

He should also have applied the exponent –3 to 4 to get 4^- 3 z^8(-3)= 4^3 z ^24 Baseline =1/64 z^24 basically the last one.

just took the test if the answer is right give thanks please and thank you.

7 0

3 years ago

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