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babunello [35]
3 years ago
11

A $100,000 house appreciates at a rate of $3500 a year. a.Find the equation that models the value of the house in y dollars afte

r x years. b.Find the value of the house in 12
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0

Answer:

y = 100,000 + 3500x

$142,000

Step-by-step explanation:

a. The fixed cost is 100,000 while appreciation is 3, 500/year.

Now after x years, total appreciation equals 3,500 × x = 3500x

The total amount in dollars is thus :

y = 100,000 + 3500x.

b. The value of the house in 12 years.

Since y = 100,000 + 3500x, here, y = ? and x = 12.

y = 100,000 + 3500(12) = 100,000 + 42,000 = $142,000

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8 0
2 years ago
Two professional gamers subscribe to twitch streamers. Jonah has 430$ saved up, and spends 45$ a month on
Wewaii [24]

Answer:

A) 430-45m = 310-25m

B) 6 months

Step-by-step explanation:

A) for Jonah, the equation would be 430-45m

Because the money is being spent on the subs, you subtract that from his original savings.

The same thing is said for Rodrick, but his equation would be 310-25m

to find out the number of months it will take for both gamers to have the

same amount of money left, you set their equations equal to each other:

430-45m = 310-25m

B) you solve for m.

430-45m = 310-25m

first by subtracting 310 on both sides to get:

430-310-45m=-25m

120-45m=-25m

then add 45m on both sides because we cant have negative months

120=-25m+45m

120=20m

divide by 20 on both sides to get the number of months

\frac{120}{20} =\frac{20m}{20}

m=6

7 0
3 years ago
14. The two triangles below are similar. What is the length, in inches, of DE?
Ierofanga [76]
18 2/3

Explanation:
The proportion is 3/4 just divide 14 by 0.75 (3/4) or whatever the proportion is in any problem like this to get the answer
4 0
3 years ago
Please help a girl out
insens350 [35]

Answer:

<em>Given-</em> y= -5x^2 +5

ATQ,

if it translated vertically downwards then the new function will be,

h = y - 5 = -5x^2

<u>PLEASE MARK AS BRAINLIEST AND FOLLOW IF IT HELPED YOU!</u>

4 0
3 years ago
PLEASE HELP ME!
strojnjashka [21]

Answer:

<h2>A. a^14 divided by -4</h2>

Step-by-step explanation:

(-4a^2)(2a^{-3})^{-4}\qquad\text{use}\ (xy)^n=x^ny^n\ \text{and}\ (x^n)^m=x^{nm}\\\\=(-4a^2)\bigg(2^{-4}a^{(-3)(-4)}\bigg)\qquad\text{use}\ 4=2^2\\\\=(-2^2a^2)(2^{-4}a^{12})\\\\=-(2^2)(2^{-4})(a^2a^{12})\qquad\text{use}\ x^nx^m=x^{n+m}\\\\=-2^{2+(-4)}a^{2+12}\\\\=-2^{-2}a^{14}\qquad\text{use}\ x^{-n}=\dfrac{1}{x^n}\\\\=-\dfrac{1}{2^2}a^{14}\\\\=-\dfrac{a^{14}}{4}

3 0
4 years ago
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