Answer:
135°
Step-by-step explanation:
Using S = rA, where S is arc length, r is radius and A is angle(in radians).
Comparing:
=> 12 = 16A
=> 12/16 = A
=> 3/4 = A
Required radian is 3/4 which is 3/4 * 180° = 135°
The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.
FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))
Side FG is proportional to side BC. When showing that two figures are similar, they should always be typed in the order of the points they correspond to. In this instance, ABCD ~ EFGH, meaning that AB ~ EF, BC ~ FG, CD ~ GH, and AD ~ EH. Let's use a simpler example, with similar triangles MNO and XYZ.
MNO ~ XYZ Since the two triangles are written in this specific order, each side should be similar to the side in the same order on the other triangle.
MN ~ XY
NO ~ YZ
MO ~ XZ
Hope this helps!
