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3 years ago

I need help with #46!!!!

Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Remark

There are two formulas for doing this. I'll use the one that does not involve the slope. I think it will be easier for you to understand.

Step One

Decide which point is (x1,y1)

Since point P is 2/5 the way up from point A, we will call (x1,y1) point A

Step Two

Write the givens.

Point(A) = (-2,-3)

Point(B) = (3,2)

Step Three

Write the formula

x1 + ratio*(x2 - x1), y1 + ratio(y2 - y1)

Sub and solve.

-2 + 2/5 *(3 - - 2) , -3 + 2/5*(2 - -3)

-2 + 2/5(5) , - 3 + 2

-2 + 2 , - 1

P = (0 , - 1) <<<<<< Answer

If this turns out to be incorrect please notify me.

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Miguel bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $450 less than the desktop. He p

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Answer

Find out the how much did each computer cost before finance charges .

To proof

Let us assume that the price of the desktop computer be x .

Let us assume that the price of the laptop computer be y .

As given

the laptop cost $450 less than the desktop.

than the equation is written

y = x - 450

As given

He paid for the computers using two different financing plans.

For the desktop the interest rate was 7% per year,

the laptop it was 5.5% per year.

The total finance charges for one year were $279.

7 % is written in the decimal form

$=\frac{7}{100}$

= 0.07

5.5 % is written in the decimalform

$= \frac{5.5}{100}$

=0.055

than the equation becomes

0.07x + 0.055y = 279

simplify the above

we get

70x + 55y = 279000

put y = x - 450 in the equation

we get

70x + 55 ( x - 450 ) = 279000

70x + 55x - 24750 = 279000

125x = 303750

$x = \frac{3037550}{125}$

x = $ 2430

put in the y = x - 450

y = 2430- 450

y =$ 1980

Therefore the desktop cost $ 2430 before finance charge.

the laptop cost $ 1980 before finance charge.

Hence proved

3 0

3 years ago