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3 years ago

X + 8y = 18 and — 5x + 3y = -4

2 answers:

5 0

X+8y=18
-5x+3y=-4

Multiply the first equation by 5
Add the two equations together

5x+40y=90
-5x+3y=-4
43y=86
Y=2

Plug y into one equation to find x
X+16=18
X=2

yaroslaw [1]3 years ago

3 0

X+8y=18

-5x+3y=-4

Multiply the first equation by 5

Add the two equations together

5x+40y=90

-5x+3y=-4

43y=86

Y=2

Plug y into one equation to find x

X+16=18

X=2

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3 years ago

Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly and produces $43 comma 000

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Answer:

$2647.18

Step-by-step explanation:

Formula : $A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]$

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = $A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]$

$43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})$

$43000=A(\frac{(1.0225)^{14}-1}{0.0225})$

43000=A( $\frac{0.365483427}{0.0225})$

43,000 = A(16.243708)

A = $\frac{43000}{16.243708}$

A = $2,647.17883 ≈ $2647.18

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