The question is an annuity question with the present value of the annuity given.
The
present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) /
(r/t) where PV = $61,600; r = interest rate = 9.84% = 0.0984; t = number
of payments in a year = 6; n = number of years = 11 years and P is the
periodic payment.
61600 = P(1 - (1 + 0.0984/6)^-(11 x 6)) / (0.0984 / 6)
61600 = P(1 - (1 + 0.0164)^-66) / 0.0164
61600 x 0.0164 = P(1 - (1.0164)^-66)
1010.24 = P(1 - 0.341769) = 0.658231P
P = 1010.24 / 0.658231 = 1534.78
Thus, Niki pays $1,534.78 every two months for eleven years.
The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48
Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48
Answer:
A= 18
Step-by-step explanation:
To find the height, find the blocks inside the shape that is completely attached (they have to be in a straight vertical line). In this case, you can see that three vertical blocks in the middle of the shape is completely attached. That means your height is 3.
To find the width, look at the how many horizontal boxes make up the top. 6 block inside the shape corispond with 6 blocks on top of the shape, so the width is six.
Multiply 6 by 3 to get 18.
Answer:
803.84 in^3
Step-by-step explanation:
First of all we have to find the base area
base area = radius^2 x 3.14 = 8^2 x 3.14 = 64 x 3.14 = 200,96 in^2
the volume can be find with this formula:
V = (base area x height)/3
V = (200.96 x 12)/3 = 803.84 in^3
