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3 years ago

Avery is in the business of manufacturing phones. She must pay a daily fixed cost to

Mathematics

1 answer:

tangare [24]3 years ago

4 0

Answer:

The equation that represents the total cost in dollars is C = 100p + 300

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope ⇒ rate of change

b is the y-intercept ⇒ fixed amount

∵ Avery must pay a daily fixed cost to rent the building and equipment

∴ There is a fixed amount b

∵ She pays a cost per phone produced for materials and labor

∴ There is a rate m

∵ C represents the total cost of producing p phones in dollars

→ Form the linear equation for the situation

∴ The equation is C = m p + b

∵ The labor and materials cost $100 for each phone

∴ m = 100

→ Substitute it in the equation above

∴ C = 100p + b

∵ The cost of producing 3 phones in a day would be $600

∴ p = 3 and C = 600

→ Substitute them in the equation above to find b

∵ 600 = 100(3) + b

∴ 600 = 300 + b

→ Subtract 300 from both sides to find b

∵ 600 - 300 = 300 - 300 + b

∴ 300 = b

→ Substitute it in the equation

∴ C = 100p + 300

∴ The equation that represents the total cost in dollars is C = 100p + 300

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Use the function below to find F(1).<br> F(t) = 2•1/2^3t

stiv31 [10]

Answer:

D) 1/4

Step-by-step explanation:

To solve this, first lets figure out what this variable is. We know we must multiply by t. Well, looking at it, we know that t is one. So lets plug that in.

2*1/2^3(1)

Now we need to figure out what the exponent is that 2 will be raised to. To find that, find out what 3 times one is.

2*1/2^3

Now we need to solve the exponent.

2*1/8

Remember, 2 cubed is eight.

Now we need to find out what 2*1/8 is. To solve this more easily, I am going to turn two into a fraction. This will give us 2/1*1/8. Now we cross multiply, multiplying the numerators by the numerators, and the denominators by the denominators. Remember, the numerator is the top number, and the denominator is the bottom number.

If we do that, we get:

2/8

If we simplify it, we get 1/4. So the asnwer is D) 1/4

6 0

3 years ago

A multinational firm wants to estimate the average number of hours in a month that theiremployees spend on social media while on

elena55 [62]

Answer:

95% of the population spent between 16.8 hours to 26.2 hours on social media per month

Step-by-step explanation:

subtracting 1 from sample size: 83-1= 82
Note Mean=21.5 and standard deviation=2.5
Subtracting confidence interval from 1 and dividing by 2: (1-0.95)/2=0.025
At α=0.025 and dF=82, the t-distribution table gives 1.984
Divide standard deviation by square root of sample size: 21.5/√83= 2.36
Multiplying answer in step 4 by answer in step 5: 2.36×1.984= 4.68
For lower end: 21.5-4.68= 16.82
for upper end: 21.5+4.68=26.18

7 0

4 years ago

Read 2 more answers

Please help im stressing :((((<br> (what is Danielle mistake in this problem )

statuscvo [17]

Answer:

Daniel's Mistake was that she didnt add all the sides

Step-by-step explanation:

She only added the right side of the triangle, and the right and bottom sides of the square. She is missing the left of the triangle, which is another 6x-4, and the left side of the square, which is 12x +3.

Using these sides the answer should look like this,

set up your problem

1) (6x-4)*2 + (12x+3)*2 + (14x+13)

multiply your 2's in

2) (12x-8) + (24x+6) + (14x+13)

simplify

3) 50x + 11 is your answer

7 0

3 years ago

If a rectangle is 30 feet long and the perimeter is 78 feet. What would be the width of the rectangle?

mario62 [17]

Answer:

The width should be 9 feet in this situation

Step-by-step explanation:

(30 x 2) + (9 x 2) =

60 + 18 =

78 ft

78 - (30 X 2) =

78 - 60 =

18 / 2 =

3 0

3 years ago

40 points David invests $10,000 in a savings account that pays 3.5% simple interest. If David makes no withdrawals or deposits t

sweet [91]

Answer:

FV= $12,450

Step-by-step explanation:

Giving the following information:

David invests $10,000 in a savings account that pays 3.5% simple interest.

<u>To calculate the future value, we need to use the following formula.</u>

FV= PV*(1+i*n)

n= 7

i= 0.035

PV= 10,000

FV= 10,000*(1+0.035*7)

FV= $12,450

6 0

3 years ago