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3 years ago

12

meg's pension plan is an annuity with guaranteed return of 6% per year. (compounded quarterly). She would like to retire with a

pension 10000 per quarter for 5 years. If she works 17 years before retiring, how much money must she and her employer deposit each quarter?

1 answer:

Maru [420]3 years ago

3 0

Hmmm 18 because i said it is

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What does the letter c stand for in the formula a2 +b=c??

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Answer: The dimension are 70 by 29

Step-by-step explanation:

$\\$ The are of a rectangle is given as L X B , that means from the first statement , L X B = 2030

$\\$ Also, the Perimeter of a rectangle is given by 2 ( L + B ), that means from the second statement 2 ( L + B ) = 198 , dividing this through by 2 , we have

$\\$ L + B = 99

$\\$ Combing the two equations, we have

$\\$ LB = 2030 ........... 1

$\\$ L + B = 99 ............ 2

$\\$ Solving the resulting simultaneous equation

$\\$ from equation 1 make L the subject , we have

$\\$ L = 2030/B

$\\$ Also, from equation 2 , make L the subject of the formula , we have

$\\$ = 99 - B ............ **

$\\$ Equate the two values of L , we have

$\\$ 2030 / B= 99 - B , by cross multiplying , we have

$\\$ 2030 = 99B - $B^{2}$

$\\$ This is the same as $B^{2}$ - 99B + 2030 = 0

$\\$ This is a quadratic equation, solving by quadratic formula

$\\$ L = 70 or 29

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Step-by-step explanation

the equation for finding the slope when given two coordinate pairs is (y₂ - y₁)/(x₂ - x₁), aka change in <em>y</em> over change in <em>x</em>.

pick one of your coordinate pairs to be y₂ and x₂. it doesn't matter which coordinate pair you choose. the remaining coordinate pair will be your y₁ and x₁.

<em>for this example, i'll use the coordinate pair (7, 2) as my y₂ and x₂ and (1, 4) as my y₁ and x₁.</em>

first, substitute the x-value and y-value from the first coordinate pair.

(y₂ - y₁)/(x₂ - x₁) ⇒ (7 - y₁)/(2 - x₂)

then substitute the y-value and x-value from the remaining coordinate pair.

(7 - y₁)/(2 - x₂) ⇒ (7 - 4)/(2 - 1)

subtract 7 - 4.

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simplify.

3/1 ⇒ 3

i hope this helps! have a great day <3

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