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Amanda [17]
2 years ago
14

(-2,-1) is a solution of the equation 4x + 5y = -13.

Mathematics
1 answer:
Art [367]2 years ago
5 0

Answer:

true

Step-by-step explanation:

4x + 5y = -13.

Substitute the point in

4(-2) + 5(-1) = -13

-8+-5 = -13

-13 = -13

This is true so the point is a solution

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Since 2003 median home prices in Midvale, UT have been growing exponentially at roughly 4.7 % per year. If you had purchased a h
Kipish [7]

Answer:

The home would be worth $249000 during the year of 2012.

Step-by-step explanation:

The price of the home in t years after 2004 can be modeled by the following equation:

P(t) = P(0)(1+r)^{t}

In which P(0) is the price of the house in 2004 and r is the growth rate.

Since 2003 median home prices in Midvale, UT have been growing exponentially at roughly 4.7 % per year.

This means that r = 0.047

$172000 in 2004

This means that P(0) = 172000

What year would the home be worth $ 249000 ?

t years after 2004.

t is found when P(t) = 249000. So

P(t) = P(0)(1+r)^{t}

249000 = 172000(1.047)^{t}

(1.047)^{t} = \frac{249000}{172000}

\log{(1.047)^{t}} = \log{\frac{249000}{172000}}

t\log(1.047) = \log{\frac{249000}{172000}}

t = \frac{\log{\frac{249000}{172000}}}{\log(1.047)}

t = 8.05

2004 + 8.05 = 2012

The home would be worth $249000 during the year of 2012.

8 0
3 years ago
A store bought a kitchen play set for $34.93 and sold it for $89.25. What was the markup percentage? Round your answer to the ne
Svetradugi [14.3K]

Answer:

155.5%

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
You are hired to work at quickie-mart and will be paid $9.50 per hour 1. Write an income function that describes the amount of m
zzz [600]

Answer:

f(x)=nx

or

f(x)=9.50x

Step-by-step explanation:

Let x be the amount of hours and n be the hourly rate (9.50).

f(x)=nx

or if you prefer to use 9.50 instead of n, the function would be:

f(x)=9.50x

3 0
2 years ago
What is the equation of the line that passes through the point (5,2) and has a slope<br> of –6/5
koban [17]

Answer:

5y+6x-40=0

Step-by-step explanation:

y-2=-6/5(x-5)

5y-10=-6(x-5)

5y-10=-6x+30

5y+6x-10-30=0

5y+6x-40=0

3 0
2 years ago
Solve the triangle. B = 36°, a = 38, c = 18
Gelneren [198K]

Answer:

A ≈ 119.7°, b ≈ 25.7, C ≈ 24.3°

Step-by-step explanation:

A suitable app or calculator does this easily. (Since you're asking here, you're obviously not unwilling to use technology to help.)

_____

Given two sides and the included angle, the Law of Cosines can help you find the third side.

... b² = a² + c² - 2ac·cos(B)

... b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475

... b ≈ 25.715

Then the Law of Sines can help you find the other angles. It can work well to find the smaller angle first (the one opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.

... sin(C)/c = sin(B)/b

... C = arcsin(c/b·sin(B)) ≈ 24.29515°

This angle and angle B add to less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)

... A = arcsin(a/b·sin(B)) ≈ 119.70485°

4 0
2 years ago
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