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2 years ago

Solve the equation for 3x-y = -3

Mathematics

1 answer:

S_A_V [24]2 years ago

8 0

Answer:

sln

3x-y=-3

3x-y=-3(make subject x)

3x=-3+y(divided by 3 both sides)

x=(-3+y) /3,x=-1+y /3

find y

3x-y=-3

-y=-3-3x(put the value of x)

-y=-3-3(-1+y/3)

-y=-6(-1+y/3)

-y=6+y/3

-y-y/3 =-3

-4y/3=-3(X by 3 both sides)

--4y=-6(divided by - 4 both sides)

y=1.5

find x

3x-y= -3 (put the value of y)

3x-1.5= -3

3x=-3+1.5

3x=-1.5(divided by 3 both sides)

x=-0. 5

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3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$