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stiks02 [169]
3 years ago
15

A manufacturer producing a new product, estimates the annual sales to be 9,600 units. Each year, 8% of the units that have been

sold will become inoperative. So, 9,600 units will be in use after 1 year, [9,600 0.92(9,600)] units will be in use after 2 years, and so on. How many units will be in use after n years
Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

After n years, 120,000(1 - 0.92ⁿ) units, will be in use.

Step-by-step explanation:

Given;

estimated annual sales, a = 9600 units

determine common ratio, r;

r = 1 - \frac{8}{100}\\\\r = 0.92

sum of the units in use after n years is calculated by applying sum of nth term;

S_n = \frac{a}{1-r} (1-r^n)

S_n = \frac{9600}{1-0.92} (1-0.92^n)\\\\S_n = \frac{9600}{0.08} (1-0.92^n)\\\\S_n = 120,000(1-0.92^n) \ units

Therefore, after n years, 120,000(1 - 0.92ⁿ) units, will be in use.

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sergey [27]

Answer:

Function f(x) is shifted 1 unit left and 1 unit up.

f(x)\rightarrow f(x+1)+1

Transformed function f(x+1)+1=\log(x+1)+1

Step-by-step explanation:

Given:

Red graph (Parent function):

f(x)=\log(x)

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

f(x)\rightarrow f(x+c)

If c>0 the function shifts c units to the left.

If c the function shifts c units to the right.

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying the rules to f(x)

The transformation statement is thus given by:

f(x)\rightarrow f(x+1)+1

As function f(x) is shifted 1 unit left and 1 unit up.

Transformed function is given by:

f(x+1)+1=\log(x+1)+1

5 0
3 years ago
I need help with this answer?​
Ipatiy [6.2K]

Answer:

The value of angle A is approximately 41.8.

Step-by-step explanation:

In order to find the value of angle A, I used the inverse sine function, where I input a ratio between the opposite and hypotenuse: 4/6, and got the answer.

3 0
2 years ago
You check 20 cartons of eggs. Three of the cartons have at least one cracked egg. What is the experimental probability that a ca
Blababa [14]

Answer:

craxk the egg on ur head and see ur answer

Step-by-step explanation:

4 0
3 years ago
A regular hexagon is shown below. Find the value of x.<br> (11x + 21)°
noname [10]

Answer:

x=9

Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to .

Since an interior angle of a hexagon measures 120°, we have the equality

.

Now it is just a matter of solving for  

11x=120-21

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x=99/11

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4 0
2 years ago
The diameter of a circular chip is doubled to use in a new board game. The area of the new chip will be
nikitadnepr [17]

Answer: A_2=\frac{\pi(2D)^{2}}{4}


Step-by-step explanation:

1. You have the following formula for calculate the area of the original circular chip:

A_1=\frac{\pi(D)^{2}}{4}

Where D is the diameter of the circle.

2. Then, if the diameter of the original circular chip is doubled (2D) to use in a new board game, the area of the new chip can be calculated with the following formula:

A_2=\frac{\pi(2D)^{2}}{4}


7 0
3 years ago
Read 2 more answers
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