Answer:
and
Step-by-step explanation:
The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.
Given
Required
Find x
Length of DE
To find x, we need to first simplify the given equation
Multiply both sides by
Subtract 15 from both sides
Divide both sides by 10
From the attached;
Substitute 6.6 for x
Hence and
Answer:
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.
__
<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.
__
<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.
