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Romashka [77]
3 years ago
15

Lamar receives money from his relatives every year on his birthday. Last year, Lamar received $100. This year, he received 29% m

ore than last year. How much did he receive this year?
Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

$129

Step-by-step explanation:

Amount received last year = $100

Amount received this year = x

x = 29% more of last year

x = $100 + ($100 * 29%)

x = $100 + ($100 * 29 / 100)

x = $100 + $29

x = $129

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Elden [556K]

Answer:

D) v = -2,000y + 20,000.

Step-by-step explanation:

The question gives a linear relationship between two quantities.  This means that the relationship between the initial value of the car and the amount it depreciates each year is proportional, or constant.  Since the value of the car decreases by 10% of its initial value each year, then each year the value will decrease by 10% of 20,000 or 0.10 x 20000 = $2,000.  Since we know the value is decreasing each year, this amount would be subtracted from the initial value of $20,000.  So, D) v = -2,000y + 20,000 would be the only equation that represents this scenario.  

8 0
2 years ago
Solve the system of linear equations by elimination.<br> -3.x – 5y = -7<br> -4x + 5y = 14
julia-pushkina [17]

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

8 0
2 years ago
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A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture
OleMash [197]

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

(12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25

Taking square root on both sides

\sqrt{c^2}=\sqrt{234.25}\\c=15.30

Hence,

Length of diagonal of picture = 15.30 inches

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3 years ago
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LekaFEV [45]

Answer:

x=5

Step-by-step explanation:

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2 years ago
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C because you got to find the like term term
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