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3 years ago

9

A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school

yard?

1 answer:

Lostsunrise [7]3 years ago

6 0

18 by 39.

Reason:
2x+2y=114 (perimeter)
XY=702 (area)
X=18
Y=39

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Ms. Lapido bought a car and pay for it $20.000.At the end of 10 years the car has no value whatsoever. Assuming that the car is

Leviafan [203]

Answer:

A) the value of the car will be 13,333.34 after 3 years ( not sure )

B) the depreciation of the car will be 2222.22 per year ( not sure)

C) i do not know

4 0

2 years ago

Don’t know how to solve.

iVinArrow [24]

Answer:

$122.88

Step-by-step explanation:

the phone decreases by 20% each year , that is

(100 - 20)% = 80% = $\frac{80}{100}$ = 0.8

the phone reduces by a factor of 0.8 each year , then after 4 years

value = $300 × $(0.8)^{4}$ = $122.88

3 0

2 years ago

Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

Ad libitum [116K]

<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

$Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}$

Putting the values from the table,

$m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}$

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

$\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937$

Now, for the y-intercept,

$c =\frac{\sum y -m(\sum x)}{N}$

Putting the values,

$c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765$

Now, putting the values of c and m, in the Slope-Intercept formula,

$y=0.937x+12.765$

3 0

3 years ago

Why does -2.4-(-7)have the same result as -2.4+7? Explain your reasoning.

asambeis [7]

Answer:

-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.

Step-by-step explanation:

I gave a basic answer. You might have to elaborate more on this.

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3 years ago

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Annette [7]

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3 years ago