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fredd [130]
2 years ago
12

Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h

ave they saved?
Mathematics
1 answer:
valentinak56 [21]2 years ago
3 0

Mr. and Mrs. Lorenzo have saved $38,430 for the home they want to buy

Information about the problem:

  • Initial cost = $213,500
  • Savings = 18%.
  • Final savings =?

To solve this exercise we have to apply the percentage formula:

Final savings = initial cost * savings / 100

Final savings = $213,500 * 18 / 100

Final savings = $213,500 * 0.18

Final savings = $38,430

<h3>What is a percentage?</h3>

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

Learn more about percentage at: brainly.com/question/24877689

#SPJ4

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The length of a rectangle is 9 centimeters more than half
Sedaia [141]

Answer:

l = 16 cm

Step-by-step explanation:

Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".

The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.

We can substitute 60 for P and w/2 + 9 for l.

  • 2(w/2 + 9) + 2w = 60
  • 2w/2 + 18 + 2w = 60
  • w + 18 + 2w = 60
  • 3w + 18 = 60
  • 3w = 42
  • w = 14

Substitute w = 14 into the equation for length l.

  • l = w/2 + 9
  • l = 14/2 + 9
  • l = 16

The length of the rectangle is 16 cm.

4 0
3 years ago
On your tenth birthday, you received 500 which you invested at 9.5% interest, compounded annually. your investment is worth $250
igomit [66]
Compounded once a year: A=P(1+r)^t
2500=500(1+0.095)^t
1.095^t=5
because the unknown number is an exponent, use log to find the unknown:
log(1.095^t)=log5
tlog1.095=log5
t=log5/log1.095
use your calculator, t=17.734
so this person is about 28 years old.
6 0
3 years ago
A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 3 of the
S_A_V [24]

Answer:

y(t) = 391 - 30t

Step-by-step explanation:

The weekly difference is 391-361 = 30

y(t) = 391 - 30t.

With t being the number of weeks.

7 0
3 years ago
Read 2 more answers
A translation maps (x, y) to
Troyanec [42]

Answer:

second quadrant

Step-by-step explanation:

(x, y ) → (x - 5, y + 3 ) means subtract 3 from the original x- coordinate and add 3 to the original y- coordinate.

(- 3, - 2 ) ← in third quadrant

→ (- 3 - 5, - 2 + 3) → (- 8, 1 ) ← in second quadrant

6 0
3 years ago
Factor completely:<br>64 - y^3
madam [21]
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is 4^{3}, and y^{3}.

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are a^{3} and b^{3}. The difference of those two cubes is:
a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})

In our problem, a = 4 (since a^{3} = 64) and b = y (since b^{3} = y^{3}. Plug these values into the rule to find the factor of 64 - y^3:
64 - y^3 \\&#10;= (4 - y)( 4^{2} + 4y + y^{2}) \\&#10;=  (4 - y)( 16 + 4y + y^{2})

-----

Answer: (4 - y)( 16 + 4y + y^{2})

8 0
3 years ago
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