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.
A = a^2.....where " a " is the length of one side
A = 79
79 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 79 = a
8.89 = a
so the length of one side is approximately 8.89 ft <==
Answer:
913
Step-by-step explanation:
cylinder:
radius=5.6 height=7
first lets find the volume of the cylinder the formula for the volume of a cylinder is pi times radius squared times height. so after plugging in the height and radius you get 689.64242
cone:
radius=5.6 height=6.8
now the volume of the cone, the formula for the volume of a cone is pi times radius squared times height/3. so after plugging in the height and radius of the cone you get 223.31278
so 689.64242 + 223.31278= 912.9552 and that rounded to the nearest tenth is 913
9514 1404 393
Answer:
y = -x +3
Step-by-step explanation:
The point-slope form can be a useful place to start.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You require the line ...
y -(-4) = -1(x -7)
y = -x +7 -4 . . . . . . . . eliminate parentheses, add -4
y = -x +3 . . . . . . . . . slope-intercept form
