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spayn [35]
3 years ago
5

In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in

dollars per year in the value of the house. Round your answer to the nearest dollar. (Let x = 0 represent 2000)
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

12500 dollars/year

Step-by-step explanation:

A linear equation i in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change and b is the initial value of y (i.e. x = 0).

Let x represent the year and y represent the cost of the house. Given that x = 0 represent 2000, hence we can represent the problem in the form (x, y) as:

(7, 120000) and (17, 245000). The annual rate of change is gotten using:

m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{245000-120000}{17-7} \\\\m=12500\\\\m=125000\ dollars\ per \ year

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Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share
maria [59]

Answer:

Yes, Noah did bring enough money.

Step-by-step explanation:

$100/8 student is $12.5, so each students admission costs $12.5 and Noah brough $13 so he will have 50 cents left after paying his entry fee

8 0
3 years ago
A pair of skis were $275 but were on sale for $195. What percent reduction is this?
Stels [109]

$275*x%=195

It will be a 29% reduction. But it will not have the exact cost of $195


7 0
3 years ago
During a 5​-year ​period, 48​% of snowstorms in a certain city caused power outages. Thirty dash nine of the snowstorms did not
beks73 [17]

Answer:

75

Step-by-step explanation:

48% of snowstorms caused power outages, which means 52% did not.

Therefore, 39 is 52% of all snowstorms.

39 = 0.52x

x = 75

There were 75 snowstorms over the 5-year period.

4 0
3 years ago
Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0
Irina-Kira [14]

Answer:

1 / 4c+5

Step-by-step explanation:

Given :

4c + 5 ≠ 0

c is a real number.

Find the multiplicative inverse of equation ?

The multiplicative inverse of a number is reciprocal of number

Let

x = a number

The multiplicative inverse = 1/x

Let 4c + 5 ≠ 0 be a number x

Then, the multiplicative inverse of x = 1/x

x = 4c + 5

1/x = 1 / 4c+5

Therefore, the multiplicative inverse of 4c + 5 = 1 / 4c+5

7 0
3 years ago
How do i solve 12×+9=10×1​
s2008m [1.1K]

Answer:

Step-by-step explanation:

Unfortunately, your " 12×+9=10×1 " can be interpreted in more than one way.  The symbol " × " should be used ONLY to indicate multiplication.  Thus, " 12× " reads as ' 12x.'  Then we have:  12x + 9 = 10.  Unsure of what you meant by " 10×1​".  So I will treat your "10×1​" as simply '10.'

Then we have 12x + 9 = 10, which reduces to 12x = 1 if we subtract 9 from both sides.

12x = 1 yields  x = 1/12.

If this is not the result you expected, please go back to the original problem and share it as accurately as you can.

6 0
3 years ago
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