Answer:
26.8 pi or approx. 84.19
Step-by-step explanation:
Circumference can be found by multiplying the diameter by pi. The diameter is twice the radius, which in this case is 13.4, so it's 13.4 * 2 = 26.8.
Multiply by pi, and you've got your answer!
Answer:
The future value of this initial investment after the six year period is $2611.6552
Step-by-step explanation:
Consider the provided information.
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.
Future value of an investment: 
Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.
9% compounded semiannually for 6 years.
Therefore, the value of r is: 
Number of periods are: 2 × 6 = 12
Now substitute the respective values in the above formula.




Hence, the future value of this initial investment after the six year period is $2611.6552
small frames ($8): s
large frames ($15): L
Cost: 8s + 15L = 239 ⇒ 1(8s + 15L = 239) ⇒ 8s + 15L = 239
Quantity: s + L = 22 ⇒ -8( s + L = 22) ⇒ <u> -8s -8 L = -176 </u>
7L = 63
L = 9
Quantity: s + L = 22 ⇒ s + (9) = 22 ⇒ s = 13
Answer: 13 small frames, 9 Large frames