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Lina20 [59]
3 years ago
15

What is the solution to the system of equations graphed below?

Mathematics
2 answers:
FrozenT [24]3 years ago
3 0

Step-by-step explanation:

The intersection point of the two equations is the solution of the system.

(-5,1)

S_A_V [24]3 years ago
3 0

Answer:

(-5,1)

Step-by-step explanation:

The solution is where the lines intersect

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Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18.
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Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

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12 = 3k

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→ Substitute the value of k back into the original direct proportion equation

z = 4x

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3 years ago
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Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up
Lunna [17]

Answer:

Consider the complete question is,

'Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up by 15 percent. Which of the following statements is correct?

a. Ms. Lane will repay the bank fewer dollars than she initially borrowed.

b. Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

c. Ms. Lane's repayment will give the bank greater purchasing power than it originally loaned her.

d. Ms. Lane's repayment will give the bank the same purchasing power that it originally loaned her.'  

Solution :

We have,

The borrowed amount, P = $ 1,000,

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Time, t = 1 year,

Thus, the returned amount,

A=P(1+r)^t=1000(1+0.1)^1=1000(1.1) = \$ 1100

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⇒ Ms. Lane will repay the bank greater dollars than she initially borrowed.

Now,  the price level went up by 15 percent,

∵ 1000 + 15% of 1000 = 1000 + 150 = 1500

And, 1500 > 1100

⇒ Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

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