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3 years ago

The value of a $225,000 house increases at a rate of 3.5% each year. Use a graph to predict the value of the house in 8 years.

Mathematics

1 answer:

geniusboy [140]3 years ago

4 0

The growth function is
V (t)=V0 (1+r)^t
V (t) ?
V0 225000
R 0.035
T 8 years

V (8)=225,000×(1+0.035)^(8)
V (8)=296,282

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A computer was on sale for 3/4 of the original price. If the original price was $1,600 what was the sale price?

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2 years ago

Find the angle measures. Justify your responses.

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Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58° ; m ∠6 = 122°

Step-by-step explanation:

a ║ b

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are ≅ and =

m∠7 = m∠3 If ║ cut by a transversal, then corresponding angles

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m∠2 = 3x + 20 Given

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are supplementary (sum = 180°) .

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x = 34°

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2 years ago

Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a service facility. Suppose they ar

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Answer:

The mean of the total repair time is 150 minutes.

The variance of the total repair time is 725 minutes^2.

Step-by-step explanation:

To solve this problem, we have to use the properties of the mean and the variance. Our random variable is the sum of 3 normal variables.

In the case, for the mean, we have that the mean of the sum of 3 normal variables is equal to the sum of the mean of the 3 variables:

$y=x_1+x_2+x_3 \\\\E(y)=E(x_1+x_2+x_3)=E(x_1)+E(x_2)+E(x_3)\\\\E(y)=50+60+40=150$

For the variance, we apply the property for the sum of independent variables (the correlation between the variables is 0):

$V(y)=V(x_1)+V(x_2)+V(x_3)\\\\V(y)=s_1^2+s_2^2+s_3^2\\\\V(y)=15^2+20^2+10^2\\\\V(y)=225+400+100\\\\V(y)=725$

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