Answer:
Step-by-step explanation:
Find all solutions to the equation.
7 sin^2(x) - 14 sin x + 2 = -5
7sin^2(x)-14 sin x+7 =0
sin^2(x)-2sin x+1 =0
(sinx-1)(sinx-1)=0
sinx=1
x=π/2+2pi*k, k=integer
Answer:
- value: $66,184.15
- interest: $6,184.15
Step-by-step explanation:
The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.
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<h3>formula</h3>
The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...
FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)
FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148
FV ≈ 66,184.15
<h3>calculator</h3>
The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.
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<h3>a) </h3>
The future value of the annuity due is $66,184.15.
<h3>b)</h3>
The total interest earned is the difference between the total of deposits and the future value:
$66,184.15 -(12)(5000) = 6,184.15
A total of $6,184.15 in interest was earned by the annuity.
Answer:
a=90° (given)
b=180°-90°-59° (angles on a straight line)
c=180°-59° (angles on a straight line)
d=59° (vertically opposite angles)
Step-by-step explanation:
I said the answer already
10.68 each for the 2 same length sides. The total of the 5 sides is 45.56 less the 3 sides which total 24.2 leaves 21.36 remaining for the 2 equal length sides. So divide 21.36 by 2 = 10.68
(45.56 - 24.2)/2 = 10.68
(16 - 4) ÷ 2
This would give you $6, so that is how much they expect you to spend per meal.