31 I think I’m not sure may be wrong
Answer:
C. Or the third option
Step-by-step explanation:
When you multiply something by a power of ten the decimal moves either left or right by the exponent. That probably sounds really confusing but here are some examples. If you multiply a number by 10^4 the decimal will move right 4 places making the number larger. Meanwhile if you multiplied it by 10^-4 it will move to the left 4 places making the number smaller. In your case, when you multiply 1.207 by 10^7, the decimal moves places to the right which makes it 12,070,000
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
The constants, -3 and -8, are like terms
The terms 3p and p are like terms
The terms in the expression are p^2, -3, 3p, -8, p, p^3
The expression contains 6 terms.
Like terms have the same variables raised to the same powers.
