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3 years ago

WILL GIVE 50 POINTS!!!!!! Question 1. 3 1/2 + 5 2/3 show all work Question 2.2/5 (3/4) simplified

Mathematics

1 answer:

anastassius [24]3 years ago

3 0

3 1/2 +5 2/3

you would want to get these to have common denominators so you would multiply them, the lowest number they both can go into is 6 so you would have both of them go into that number. And they would equal

3 3/6 + 5 4/6 = 8 7/6

You can reduce this down to

9 1/6

__________________________________________________________

2/5 (3/4)

you want to remove the parentheses so it would be

2/5 x 3/4

Then you will cross cancel the numbers (2 and 4)

1/5 x 3/2

then you want to multiply the fractions, and it would be.

3/5x2

and you multiply once again for your final answer

3/10

Answer #1: 9 1/6

Answer #2: 3/10

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2)Simplify 5\times 1025×102 to 510510

312-510312−510

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Solve for x 2x^2/3=dg

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(2x²/3)=dg

2x²=3dg

x²=((3dg)/2)

So x=√((3dg)/2) or x=-√((3dg)/2)

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4 years ago

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guapka [62]

Answer:

Step-by-step explanation:

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3 years ago

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Solve for x 2x + 4 + 2x -9 + 8 = 180

Alex

Answer: Simplifying

2x + 4 + 2x + 8 + 2x + 8 = 180

Reorder the terms:

4 + 8 + 8 + 2x + 2x + 2x = 180

Combine like terms: 4 + 8 = 12

12 + 8 + 2x + 2x + 2x = 180

Combine like terms: 12 + 8 = 20

20 + 2x + 2x + 2x = 180

Combine like terms: 2x + 2x = 4x

20 + 4x + 2x = 180

Combine like terms: 4x + 2x = 6x

20 + 6x = 180

Solving

20 + 6x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20' to each side of the equation.

20 + -20 + 6x = 180 + -20

Combine like terms: 20 + -20 = 0

0 + 6x = 180 + -20

6x = 180 + -20

Combine like terms: 180 + -20 = 160

6x = 160

Divide each side by '6'.

x = 26.66666667

Simplifying

x = 26.66666667

Step-by-step explanation:

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3 years ago

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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:

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