Absolute value equation

Help please help me I really need help please help me

Ber [7]

Answer:

x = -3

Step-by-step explanation:

Given function:

f(x) = x² + 6x + 2

x-coordinate of the vertex is:

x = -b/2a = -6/2 = - 3

The axis of symmetry is the vertical line that passes through the vertex:

x = -3 is the line we need

3 0

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

write word problems that represent each way you an use a remainder in a division problem. include solutions.

TiliK225 [7]

Bob had 45 slices of apples to share with his 6 friends. He only wants to share it with his friends, excluding him. How many slices of apple does each friend get and how many will Bob have leftover? How would he share the rest of slices to his friends?

Answer: Each friend will get 7 pieces and Bob will have 3 pieces leftover. He will cut the slice of apples into thirds and give his friends a piece.

7 0

3 years ago

Show your work plz luv u

atroni [7]

Answer:

x=7

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

x+30−4x=4x+9−4x

−3x+30=9

Step 2: Subtract 30 from both sides.

−3x+30−30=9−30

−3x=−21

Step 3: Divide both sides by -3.

−3x

−3

=

−21

−3

The sides of a rhombus are all congruent (the same length.)

6 0

3 years ago

A circle has a radius of 9 cm.

stira [4]

Radius = 9cm

So,

Area of circle = πr²

= π(9)²

= π × 81 cm²

= 81π cm²

8 0

3 years ago

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