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kodGreya [7K]
2 years ago
15

Enrollment at high school is changing at a rate of -15 students per year. At that rate how long will it take for the change in t

he schools enrollment to be -75 students?
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
6 0
5 years. Because -15 - it's <span>changing at a rate per year.
75/15=5 years we need</span>
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The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items
Brilliant_brown [7]

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

C(0) = 10(0) + 500 = 0 + 500 = 500

b. For zero items produced, cost will be-

C(25) = 10(25) + 500 = 250 + 500 = 750

c. If C(x)_{max} = 1500

10x + 500 = 1500\\10x = 1000\\x = 100

∴ domain for cost function will be [0,100] and range will be 100

7 0
3 years ago
Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul p
babymother [125]

Answer:

The answer is "option b"

Step-by-step explanation:

Amount = $26,900

r= 0.0818 %

i=\frac{r}{4}\\\\

 =\frac{0.0818}{4}\\\\=0.02045

t= 8 years

n= 8 \times 4

  =32

D=\frac{1-(1+i)^{-n}}{i}\\

   =\frac{1-(1+0.02045)^{-32}}{0.02045}\\\\=\frac{1-(1.02045)^{-32}}{0.02045}\\\\=\frac{1-0.52319627}{0.02045}\\\\=\frac{0.47680373}{0.02045}\\\\=23.3155858

Q= \frac{Amount}{Discount \ factor }\\

   =\frac{26900}{23.3155858} \\\\=1153.73468

Payment =1153.73468 \times  32\\\\

               = \$ 36919.5098\\

\text{Total interest = Payment - amount}

                    = \$ 36919.5098 - \$ 26900 \\\\                      = \$ 10019.5098

\text{Finance charge = Total interest + service charge}

                        = \$ 10019.5098 + \$ 1527\\\\                          = \$ 11546.5098

3 0
3 years ago
The name of the angle
Verizon [17]

Answer:

acute

Step-by-step explanation:

8 0
2 years ago
The lunch lady has 12 pounds of lasagna left over.
bogdanovich [222]

Answer:

12

Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]

5 0
2 years ago
What is the percent of change from 180 to 387
o-na [289]

To find the percent of change, subtract to find the amount of change

387 - 207 = 180. The increase is 207.

Then divide the amount of change by the original amount

207 ÷ 180 = 1.15

Change the decimal to a percent, and multiply the number by 100:

1.15 X 100 = 115

The answer is 115%

5 0
3 years ago
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