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vladimir1956 [14]
3 years ago
6

paula bought a ski jacket on sale for $5 less than half its original price. she paid $90 for the jacket. What was the original p

rice?
Mathematics
1 answer:
insens350 [35]3 years ago
5 0
The original price would be 190 because if you add 5 to 90 you get 95. 95 is half of the original price so you multiple 95 times 2 to get the original price.
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Markus sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elaps
Ray Of Light [21]

Answer:

Every day, 43% percent of people are added from the total number of people who receive the email

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

P(t)=a(1+r)^t

where

P(t) is the total number of people who receive the email

t is the time in days

a is the initial value

r is the rate of change

we have

P(t)=6(1.43)^t

so

a=6 ---> initial number of people who receive the email

(1+r)=1.43

solve for r

r=1.43-1\\r=0.43

Convert to percentage

0.43(100)=43\%

so

The daily percent change in the number of people who receive the email. every day is 43%

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Every day, 43% percent of people are added from the total number of people who receive the email

4 0
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 <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>
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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:

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14. MP Be Precise A standard shower drain
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For the first-rate;

1,440 gallons in 3 hours

We calculate the unit rate.

By Dividing the total volume by the total time,

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For the second rate:

960 gallons in 120 minutes

Converting minutes to hours:

120 minutes = 2 hours

We calculate the unit rate.

By dividing the total volume by the total time,

960 / 2 = 480 gallons / hour

For the third rate:

720 gallons in 1.5 hours

We calculate the unit rate.

By dividing the total volume by the total time,

720 / 1.5 = 480 gallons / hour

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Answer B

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Factor y2 - 5y - 1y+ 5 by grouping.
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Answer:

C

Step-by-step explanation:

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