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lara31 [8.8K]
2 years ago
12

Julio just bought a $267,900 house. he had a 20 year mortgage with a fixed rate of 5.875%. julio’s monthly payments are $1,558.0

9. what percent of the purchase price was julio’s down payment? a. 13% b. 15% c. 18% d. 20%
Mathematics
1 answer:
boyakko [2]2 years ago
4 0

The percent of the purchase price for Julio’s down payment was C. 18%

<h3>What is Interest Rate?</h3>

This refers to the amount of money that is added to a loan collected by a person, for when he makes repayment.

Hence,

Given that

  • PMT monthly payment 1558.09
  • R interest rate 0.05875
  • K compounded monthly 12 because the payment is monthly
  • N time 20 years
  • Pv present value?

We use the formula Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]

Pv= 1,558.09×((1−(1+0.05875÷12)^(−12×20))÷(0.05875÷12))

=219,684.92

Next thing to do is make a subtraction to get the down payment:

267,900−219,684.92=48,215.08

Then the percentage would be:

48,215.08÷267,900= 18% approx.

Read more about interest rates here:

brainly.com/question/25545513

#SPJ4

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Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

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3 years ago
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3:1, 24 gallons blue 8 gallons yellow

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How many times can 5 go into 1620
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5 0
3 years ago
Taylor and Layla go to the movie theater and purchase refreshments for their friends.
zhenek [66]

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

The price of a drink is $8.50

Step-by-step explanation:

Taylor and Layla go to the movie theater and purchase refreshments

for their friends

  • Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn
  • Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

We need to write  a system of equations that can be used to find the

price of one drink and the price of one bag of popcorn

Assume that the price of each drink is $x and the price of each bag

of popcorn is $y

∵ Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn

∴ 4 x + 9 y = 43 ⇒ (1)

∵ Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

∴ 2 x + 8 y = 25 ⇒ (2)

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

Multiply equation (2) by -2 to eliminate x

∵ -2(2 x) + -2(8 y) = -2(25)

∴ -4 x - 16 y = -50 ⇒ (3)

- Add equations (1) and (3)

∴ -7 y = -7

- Divide both sides by -7

∴ y = 1

- Substitute y in equation (1) to find x

∵ 4 x + 9(1) = 43

∴ 4 x + 9 = 43

- Subtract 9 from both sides

∴ 4 x = 34

- Divide both sides by 4

∴ x = 8.5

∵ x is the price of each drink

∴ The price of a drink = $8.50

The price of a drink is $8.50

Learn more:

You can learn more about system of equation in brainly.com/question/6075514

#LearnwithBrainly

6 0
3 years ago
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