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averiemiranda1
15.03.2020 •
Mathematics
Sarah deposits $250 into an annuity due at the beginning of every 6-month period for 9 years. The account earns an annual 6% compounded semiannually. What is the future value of the annuity after 9 years? How much interest did she earn?
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Ответ:
she earned $6007.5
Step-by-step explanation:
We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as
S = R[{(1 + r)^n - 1)}/r][1 + r]
Where
S represents the future value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
R = $250
r = 0.06/2 = 0.03
n = 2 × 9= 18
Therefore,
S = 250[{(1 + 0.03)^18 - 1)}/0.03][1 + 0.03]
S = 250[{(1.03)^18 - 1)}/0.03][1.03]
S = 250[{(1.7 - 1)}/0.03][1.03]
S = 250[{(0.7)}/0.03][1.03]
S = 250[23.3][1.03]
S = 250 × 24.03
S = $6007.5
Ответ:
its actually 10 points
x^4 + 9x^3 + 15x^2 + 9x + 14
Split 15x^2 into 14x^2 + x^2
x^4 + 9x^3 + 14x^2 + x^2 + 9x + 14 factor as
x^2 [x^2 + 9x + 14 ] + 1 [ x^2 + 9x + 14 ] take out GCF
[ x^2 + 1 ] [ x^2 + 9x + 14 ]
[ x^2 + 1 ] [ x + 7 ] [ x + 2 ]
mark brainliest