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zmey [24]
3 years ago
7

An alloy is composed of nickel, zinc, and copper in a ratio of 7:2:9. How many kilograms of each metal are needed to make 3.6 kg

of this alloy?
Mathematics
1 answer:
ivolga24 [154]3 years ago
8 0

Answer:

Nickel= 1.8 kg

Zinc= 0.4 kg

Copper= 1.8 kg

Step-by-step explanation:

7:2:9

7=nickel

2=zinc

9=copper

7+2+9=18

18×2=36

7×2=14 2×2=4 9×2=18

Divide by 10

14÷10=1.4 4÷10=0.4 18÷10=1.8

1.8+1.4+0.4= 3.6

1.8=nickel

0.4=zinc

1.8=copper

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Read 2 more answers
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 <u>$22,495</u>
  • Second part: Molly's monthly payment will be approximately <u>$286.2</u>
  • Third part: The total interest Molly will pay using the plan is approximately <u>$1,545.8</u>
  • Fourth part: The amount the car costs Molly using the plan is approximately <u>$26,540.8</u>

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, <em>r</em> = 1.9%

First Part:

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

The amount of loan Molly needs = <u>$22,495</u>

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 <em>M</em> ≈ <u>$286.2</u>

Third part:

The total interest, <em>I</em> = Sum of payment - Loan amount

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

The total interest Molly will pay using the loan, <em>I</em> ≈ <u>$1,545.8</u>

Fourth part:

The cost of the car, <em>C</em>, 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 ≈ <u>$26,540.8</u>

<em>The question parameters obtained from a similar question are;</em>

<em>Selling price of the car = $25,495</em>

<em>Financing = 1.9% APR for 84 months with a cash allowance of $500</em>

Learn more about loan payment here:

brainly.com/question/1040657

3 0
2 years ago
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