Please help I am behind on this questions!!
1 answer:
Answer:
$83,802
Step-by-step explanation:
The description is of an annuity due. Payments at the beginning of the period earn interest for the period, unlike those made at the end of the period.
<h3>Formula</h3>The future value of an annuity due is given by the formula ...
FV = P(1 +r)((1 +r)^t -1)/r
where P is the annual payment, r is the annual interest rate, and t is the number of years.
This is essentially the sum of t terms of a geometric series with first term P(1+r) and common ratio (1+r).
<h3>Application</h3>For P=$1000, r = 0.06, and t = 30, the future value is ...
FV = $1000(1.06)(1.06^30 -1)/0.06 ≈ $83,801.68
To the nearest dollar, the account value will be $83,802.
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<em>Additional comment</em>
Spreadsheets and many graphing calculators have time-value-of-money (TVM) formulas built in. You need to make sure to choose the option that gives an <em>annuity due</em>, rather than an <em>ordinary annuity</em>. In the attached TVM picture, this setting is accomplished by PmtMode=1.
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Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:
We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:
Solve for x. On the right, combine like terms:
Subtract 3x from both sides:
So, the value of x is 10.
To find the value of FG, substitute 10 into its x:
Multiply:
Add:
And we're done!