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lora16 [44]
3 years ago
12

Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0
You would first learn how many weeks there are in a year which is 52
So you would multiply 52x156
Which equals 8112
Asher pays $8112 per year for piano lessons
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Step-by-step explanation:

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4 years ago
A ship is approaching a lighthouse the is known to be 30 meters in height. The apparent size of the lighthouse is .005 radians.
Orlov [11]
Refer to the diagram shown below.

Let the ship approach the lighthouse at a constant speed of v km/h.

When the angle of elevation is  0.005 radians,
tan(0.005) = 30/(x + y)
x + y = 30/tan(0.005) = 6000 m        (1)

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8 0
3 years ago
Helllllpppp I need to find the area
Masja [62]
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3 0
4 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

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