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mixer [17]
4 years ago
14

Suppose $100 is deposited into an account and the amount doubles every 8 years. How much will be in the account in 40 years? (Us

e exponents)
Mathematics
2 answers:
Eva8 [605]4 years ago
6 0
Thats 5 doublings

100^5
<span>$10000000000</span>
Katarina [22]4 years ago
3 0
The answer would be 3,200. you would take 40 ÷ 8 and get 5 doublings 
so you double 100 to get 200 double 200 to get 400 and 400 to get 800 and 800 to get 1600 and 1600 to get 3200
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Show work!!!!!!!!!!pleaseeee
Fed [463]

Answer:

527.52in²

Step-by-step explanation:

Formula for the surface area of a cylinder is 2πrh+2πr²

2π*7*5+2π7²=

70π+98π=

168π=

527.52

4 0
3 years ago
Among all right circular cones with a slant height of 24​, what are the dimensions​ (radius and​ height) that maximize the volum
aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2

Once this is defined, we proceed to define the volume of a cone,

v=\frac{1}{3}\pi r^2 h

Substituting,

v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)

\frac{dv}{dh} = 0 then \rightarrow \frac{1}{3}\pi(576-3h^2)=0

h_1=-8\sqrt{3}\\h_2=8\sqrt{3}

<em>We select the positiv value.</em>

We have then,

r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}

We can now calculate the maximum volume,

V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99

4 0
3 years ago
How to find the measure of an angle given two triangles, their sides, and one angle?
Allisa [31]
Use the sine law. It will give you all angles
6 0
3 years ago
The graphs below have the same shapes. What is the equation for the red graph?
stepladder [879]

The equation for the red graph is f(x) = -x².

<h3>How to depict the equation?</h3>

From the information given, g(x) = 4 - x².

The vertex of the point (0, 4) and (0, 0) for g(x) and f(x) respectively. The rule of the translation will be:

(x, y) = (x, y -4).

The equation of the function will be:

f(x) = g(x) - 4

f(x) = (4 - x²) - 4

f(x) = -x²

Learn more about equations on:

brainly.com/question/9681517

#SPJ1

3 0
2 years ago
What are three ways to get 15,638
laiz [17]
15,628+10, 15,000+638, 15,540+98.
7 0
3 years ago
Read 2 more answers
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