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zheka24 [161]
3 years ago
6

Question is attached below.

Mathematics
2 answers:
Citrus2011 [14]3 years ago
5 0
The first table shows a proportional relationship.
Natali5045456 [20]3 years ago
4 0
 proportional relationship.
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In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e
Nina [5.8K]

Answer:

c = 8.14 million×(0.9166)^t

4.83 million  

Step-by-step explanation:

Data:

  t = y - 2007

c₀ = 8.14 million

c₃  = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

      c₃ = c₀r^t

0.77c₀ = c₀r³

   0.77 = r³              Divided each side by c₀

         r = 0.9166     Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

7 0
3 years ago
7 inches, and one of the legs is inches. Find the length of the other leg.
ankoles [38]
Is it a chair? if so it's 7
5 0
3 years ago
Sammy wants to deposit into a 7% annual simple interest account she will also deposit twice as much in a certificate of deposit
antiseptic1488 [7]

Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.

Step-by-step explanation:

Let x represent the amount that he would deposit in the simple interest account.

Let y represent the amount that he would deposit in the certificate of deposit.

she will deposit twice as much in the certificate of deposit. It means that

y = 2x

Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x

Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.

The total interest from both accounts would be $390. It means that

0.07x + 0.05y = 390- - - - - - - - - - 1

Substituting y = 2x into equation 1, it becomes

0.07x + 0.05 × 2x = 390

0.07x + 0.1x = 390

0.17x = 390

x = 390/0.17 = $2294

y = 2x = 2 × 2294

y = 4588

4 0
3 years ago
WHAT IS 18 TONS 42 POUNDS DEVIDED BY 3
Alecsey [184]

A ton is 2,000 pounds so multiply 2,000 x 18

2,000 x 18 =  36,000 pounds, now add the 42 pounds to the 36,000

36,000 + 42 = 36,042 pounds. Now divide 36,042 by 3

36,042 ÷ 3 = 12,014

Your answer is 12,014 pounds

If you need your answer in tons it's 6.007 tons

Calculations for pounds to tons

12,014 ÷ 2,000 = 6.007

Hope this helps. :)


4 0
3 years ago
Read 2 more answers
Indicate whether each system of equations has no solution, one solution, or infinitely many solutions. y=2x+2y=2x+4
Gala2k [10]

Answer:

Step-by-step explanation:

8 0
3 years ago
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