Answer:
y = 2x - 1 Graph B
y = 2x + 2 Graph A
y = 2x - 5 Graph C
Step-by-step explanation:
y = mx + c
c is where the line intersect the Y axis.
<h2>Substitute x for 0:</h2>
y = 2x - 1
2 * 0 - 1 = -1.
This is graph B because it intersects at 0,-1.
y = 2x + 2
2 * 0 + 2 = 2
This is graph A because it intersects at 0,2.
y = 2x - 5
2 * 0 - 5 = -5
This is graph C because it intersects at 0,-5.
Answer:
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Cost of the TV set in 1999 = US$ 400
Annual increase rate = 2% = 0.02
2. Write an exponential model to represent this data.
Cost after n years = Cost in 1999 * (1 + r)ⁿ
where r = 0.02 and n = the number of years since 1999
Replacing with the real values for 2020, we have:
Cost after 21 years = 400 * (1 + 0.02)²¹
Cost after 21 years = 400 * 1.5157
Cost after 21 years = $ 606.28
The TV set costs $ 606.28 in 2020.
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
Answer:
- 65.312 inches
- 326.56 inches
- 1959.36 inches
Step-by-step explanation:
<h3>Given</h3>
<h3>To find</h3>
- Travel in 1, 5, 30 rotations
<h3>Solution</h3>
<u>Circumference of the wheel is equal to one full rotation</u>
- C = πd = 3.14*20.8 = 65.312 inches
- 5C = 5*65.312 = 326.56 inches
- 30C = 30*65.312 = 1959.36 inches
