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jonny [76]
2 years ago
12

Michael graphs the equations y= -1/2+4 and y = x + 1 to solve the equation -1/2x+4= x+1. His graph is shown below. What are the

solution(s) of -1/2x+4= x+1?
A. –1 and 8
B. 1 and 4
C. 2
D. 3
Mathematics
1 answer:
arlik [135]2 years ago
5 0

Answer:

C.        x= 2

Step-by-step explanation:

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Madelyn is working two summer jobs, making $20 per hour lifeguarding and making $12 per hour clearing tables. In a given week, s
Kamila [148]

Answer:

The possible values of the number of hours clearing tables are 2 , 3 , 4 , 5 hours

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Madelyn is making $20 per hour life guarding

- She is making $12 per hour clearing tables

- She can work no more than 13 total hours

∴ The greatest time she can work is 13 hours (≤)

- She must earn no less than $180

∴ The least money she wants to earn is $180 (≥)

- If Madelyn worked 8 hours life guarding and assume that she

 worked x hours clearing tables

∵ She can work no more than 13 hours

∴ 8 + x ≤ 13

- Subtract 8 from both sides

∴ x ≤ 5 ⇒ (1)

∵ She must earn no less than $180

∴ 8 × 20 + x × 12 ≥ 180

∴ 160 + 12x ≥ 180

- Subtract 60 from both sides

∴ 12x ≥ 20 ⇒ (2)

- From equation (1) ⇒ x = 1 , 2 , 3 , 4 , 5

- Substitute x in equation (2) by these values to find the right values

 of x

# If x = 1

∴ 12(1) ≥ 20

- But 12 is less than 20

∴ x can not be 1

# x = 2

∴ 12(2) ≥ 20

∴ 24 ≥ 20

- 24 is greater than 20 then x can be 2

∵ 3 , 4 , 5 greater than 2

∴ All of them give answers greater than 20

∴ x can be 3 , 4, 5

∵ x represents the number of hours for clearing tables

∴ The possible values of the number of hours clearing tables are

   2 , 3 , 4 , 5 hours

5 0
3 years ago
Adisa borrows $5,000 at 14% interest, compounded twice a year. How much does she owe at the end of 8 years?
N76 [4]

The borrower owes $14,760.82  at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

Find out more about semiannual compounding on:brainly.com/question/7219541.

#SPJ1

4 0
2 years ago
An amusement park charges 5$ for admission and 2$ for each ride write an expression for the total cost of admission and r rides
sashaice [31]
He can ride 5 rides in this problem

5 0
3 years ago
What is the slope of the line that passes through the points (5,0) and (-3,1)? Write your assignment and simplest form.
Verdich [7]

m = (y2-y1)/(x2-x1)

m = (1-0)/(-3-5)

m = 1/-8

4 0
3 years ago
Please help! 45 points !!
NeTakaya

<u>Answer:</u>

A. 8.2 x 10^6

<u>Step-by-step explanation:</u>

To get what 4.1x10^3 is equal to you move the decimal point to the right three times. This leaves you with 4,100. To get what 2.0x10^3 is equal to, you move the decimal point to the right three times. This leaves you with 2,000. 4,100 x 2,000 is 8,200,000. Then move the decimal to the left until it is behind the 8. In order to do this, you would have to move the decimal point 6 times. So the final answer is 8.2 x 10^6.

PLEASE MARK BRAINLIEST

8 0
3 years ago
Read 2 more answers
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