if the volume of a prism in 18 in3 , what is the volume of a pyramid with the same base area and height?
2 answers:
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a. The function that models the situation is F(t) = 48(1.08)ˣ
b. The price of the stock 6 years from now is $76.17
c. Find the graph in the attachment
d. I receive a dividend of $0.026.
<h3>a. Write a function f(t) that models the situation.</h3>Since the stock price increases at a rate of 8% every year, and is initially $48, it follows exponential growth.
So, the current price where
- A = price at current moment = $48,
- r = rate of growth = 8% = 0.08 and
- t = number of years
So,
So, the function that models the situation is F(t) = 48(1.08)ˣ
<h3>b. Determine the price of the stock 6 years from now?</h3>The price of the stock 6 years from now is gotten when t = 6.
So,
So, the price of the stock 6 years from now is $76.17
<h3>c. Sketch a graph of the price of the function vs time in years</h3>Find the graph in the attachment
<h3>d. Bonus</h3>Since every quarter, the company pays a dividend of 1.5 %, the rate per year would be r = 1.5 % ÷ 1/4 year = 1.5 % × 4 = 6 % per year.
Since they pay at a rate, r = 6 % = 0.06 of the stock price, F(t) as dividend.
After n years, the dividend is D = (r)ⁿF(t)
= (0.06)ⁿF(t)
So,
So, after 3 years when t = 3,
Since there are 3 shares, the total dividend would be D' = 3D
= 3 × 0.013
= 0.026
So, i receive a dividend of $0.026
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Answer:
Both angles B and C are equal to 40°
Step-by-step explanation:
The diagram tells you that the triangle is an isosceles triangle. From this we know that angles B and C will be equal to each other. To find what the angle measures are, we are going to set the two given expressions equal to each other, solve for x, and the plug x back in to get the two angle measures.
Now we are going to plug x back into each expression to solve for angles B and C.
Angle B
⇒
Angle C
⇒
Both angles B and C are equal to 40°