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AveGali [126]
3 years ago
14

How many solutions exist for the system below? In two or more complete sentences, give the solution and explain how you solved t

he system. y=-2x + 3 y = -2×3x​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

y=-2x + 3

y = -2*3x​

Both equations are lines.

Two lines will intersect at one point

I will set the two equations equal and solve for the x coordinate.

-2x+3 = -6x

Add 2x from each side

3 = -4x

Divide by -4

-3/4 = x

Now find y

y = -6x

y = -6(-3/4)

y = 18/4 = 9/2

The solution is ( -3/4, 9/2)

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6.5 ÷ 1345 = 0.0048 or 13/2690
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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
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Answer:

1. 10.7 years

2. 17.0 years

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Use formula for compounded interest

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

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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.

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

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3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

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<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

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