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3 years ago

A home in small town in Texas is currently worth $344,000. It is expected to grow by 5% per year over the next several years.

Mathematics

1 answer:

Kitty [74]3 years ago

6 0

Answer:

Part A: The value of the house (y) after x years:

y = 344000 x (1 + 5/100)^x

Part B: Approximate value of the house after 10 years:

(Using the formula in part A)

V = 344000 x (1 + 5/100)^10 = 560339.8 $

Hope this helps!

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siniylev [52]

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3 years ago

Find the slope of the line passing through the points (8,-6) <br> and (4,-8)<br> .

Murljashka [212]

Answer:

1/2 is the slope of the line

Step-by-step explanation:

To find slope, use the following equation

slope (m) = (y₂ - y₁)/(x₂ - x₁)

First, set each coordinate. Let:

(x₁ , y₁) = (8 , -6)

(x₂ , y₂) = (4 , -8)

Plug in the corresponding numbers for the corresponding variables.

m = (y₂ - y₁)/(x₂ - x₁)

m = (-8 - (-6))/(4 - 8)

Simplify. Note that two negative signs would result in a positive sign.

m = (-8 + 6)/(4 - 8)

Combine like terms.

m = -2/-4

Simplify. Divide common factors from both the numerator and denominator.

m = (-2/-4)/(-2/-2) = 1/2

1/2 is the slope of the line

4 0

3 years ago

Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.

Nesterboy [21]

Answer:

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.

4 0

2 years ago

I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct

Bond [772]

Given the system of equations:

$\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}$

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

$\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}$

Step 2: Substitute the expression found for x in the first equation.

$\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}$

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

$\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}$

Then, divide both sides by 15.

$\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}$

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

$\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}$

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

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1 year ago

A bank loaned out $22,500, part of it at the rate of 14% annual interest, and the rest at 2% annual interest. The total interest

prisoha [69]

Answer:

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