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3 years ago

Transform the given function f(x) as described.

Mathematics

1 answer:

Helen [10]3 years ago

3 0

Answer:

g(x) = -|x| + 1

Step-by-step explanation:

Let g(x) be the transformation function

-|x| reflects f(x) across the x-axis. Add 1 to move the result up one unit

So, g(x) = -|x| + 1

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How many degrees Fahrenheit (f)=(9/5*c)+32

andreyandreev [35.5K]

Not 5.8 IT'S 5/8
plz help me because I still have other homework

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3 years ago

Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She

viktelen [127]

The car payment plan that has an APR of 1.9% is, on the short term, pocket

friendly.

The correct responses are;

First part: The amount of loan Molly needs is $22,495

Second part: Molly's monthly payment will be approximately $286.2

Third part: The total interest Molly will pay using the plan is approximately $1,545.8

Fourth part: The amount the car costs Molly using the plan is approximately $26,540.8

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, r = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = $22,495

Second Part:

The monthly payment is given by the formula;

$\displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}$

Therefore;

$\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}$

Molly's monthly payment will be M ≈ $286.2

Third part:

The total interest, I = Sum of payment - Loan amount

∴ The total interest, I ≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, I ≈ $1,545.8

Fourth part:

The cost of the car, C, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ $26,540.8

The question parameters obtained from a similar question are;

Selling price of the car = $25,495

Financing = 1.9% APR for 84 months with a cash allowance of $500

Learn more about loan payment here:

brainly.com/question/1040657

3 0

3 years ago

A 40% antifreeze solution is to be mixed with a 70% antifreeze

Alenkasestr [34]

Answer: 160 liters of the

40% solution and 80 liters of the 70% solution will be used.

Step-by-step explanation:

Let x represent the number of liters of 40% antifreeze solution that should be used.

Let y represent the number of liters of 70% antifreeze solution that should be used.

The volume of the mixture to be mixed is 240 liters. It means that

x + y = 240

The 40% antifreeze solution is to be mixed with a 70% antifreeze

solution to get 240 liters of a 50% solution. This means that

0.4x + 0.7y = 0.5(240)

0.4x + 0.7y = 120 - - - - - - - - - - - -1

Substituting x = 240 - y into equation 1, it becomes

0.4(240 - y) + 0.7y = 120

96 - 0.4y + 0.7y = 120

- 0.4y + 0.7y = 120 - 96

0.3y = 24

y = 24/0.3

y = 80

x = 240 - y = 240 - 80

x = 160

7 0

3 years ago

A company claims that their new bottle holds 25 % more laundry soap. If their original container held 53 fluid ounces of soap, h

LiRa [457]

53 * .25 = 13.25, 53 + 13.25 = 66.25 fluid ounces

4 0

3 years ago

Read 2 more answers

can someone help me out please if i can make this assignment up i can pass my class please help i'll give brainiest

adelina 88 [10]

Answer:

m∠1 = 39.5°

m∠2 = 39.5°

m∠3 = 50.5°

m∠4 = 50.5°

Step-by-step explanation:

m∠1 = 39.5° (Given)

m∠2 = m∠1 = 39.5° (∠1 ≅ ∠2)

m∠3 = 90° - 39.5° = 50.5° (∠1 and ∠3 are complementary)

m∠4 = m∠3 = 50.5° (∠1 ≅ ∠2, ∠2 and ∠4 are complementary)

6 0

3 years ago