7/8 ÷1 1/2 <br><br><br><br> I am only giving out 10 points because i only have 14

PLEASE HELP!!!!!!

Anit [1.1K]

multi

linear

two

no

one

7 0

3 years ago

Please help with the bonus! Thank you:)

Aleks04 [339]

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 $F(t) = A(1 + r)^{t}$ where

A = price at current moment = $48,
r = rate of growth = 8% = 0.08 and
t = number of years

So, $F(t) = A(1 + r)^{t}$

$F(t) = 48(1 + 0.08)^{t} \\= 48(1.08)^{t}$

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,

$F(t) = 48(1.08)^{t} \\= 48(1.08)^{6} \\= 48(1.5869)\\= 76.17$

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, $D = (0.06)^{t}F(t) \\= (0.06)^{t}[4.8(1.08)^{t}]$

So, after 3 years when t = 3,

$D = (0.06)^{t}[4.8(1.08)^{t}]\\D = (0.06)^{3}[4.8(1.08)^{3}]\\D = 0.000216 \times 48 \times 1.2597\\D = 0.013$

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

Learn more about exponential function here:

brainly.com/question/12940982

#SPJ1

6 0

2 years ago

A local gym charges $10 to join and $4 per visit. Michael has already saved 46 dollars. How much more money does Michael need to

steposvetlana [31]

So we know the gym charges $10 to join, and the $4 every visit. He wants to visit 20 times, so we multiply 20 by 4 to get the price of 20 visits, which is $80. Then we add $10 for the joining fee. The total will cost him $90. That means he needs to save $44 to visit 20 times. Hope that helps!

8 0

4 years ago

8^3*8^-5*8^y=1/8^2, what is the value of y in the product of powers below?

Aleks04 [339]

For this case we have that by definition of multiplication of powers of the same base, the same base is placed and the exponents are added:

$a ^ n * a ^ m = a ^ {n + m}$