Answer:
$9,812.29
Step-by-step explanation:
The amount in Jeremy's account can be computed using the compound interest formula.
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<h3>account value</h3>
The formula for the value of an account earning compound interest at annual rate r, compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
where P is the principal invested.
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<h3>formula application</h3>
When P=$8500, r=0.024, n=4, t=6, the formula becomes ...
A = $8500(1 +0.024/4)^(4·6) = $8500(1.006^24) ≈ $9812.29
There will be $9,812.29 in this account after 6 years.
The formula for the surface area of cone is:
Surface Area of Cone = π * r * l + π * r^2 , where l = slant height
Substituting the given values:
282.74 ft^2 = 3.14 * 5 ft * l + 3.14 * (5 ft)^2
<span>l = 13 ft</span>
Let "n" be a number
9 + 3n = 57
3n = 57 - 9
3n = 48
n = 48/3
n = 16
Answer:
x = 14
Missing angles: 33° and 57°
Step-by-step explanation:
(2x + 5) + (3x + 15) = 90° (complementary angles)
Add like terms
5x + 20 = 90
5x = 90 - 20
5x = 70
x = 70/5
x = 14
✔️Plug in the value of x to find each missing angle:
2x + 5 = 2(14) + 5 = 33°
3x + 15 = 3(14) + 15 = 57°