Answer:
Step-by-step explanation:
<u>Given AP with:</u>
- a₁= 28, aₙ = 79, Sₙ = 963
<u>Use the formula:</u>
- Sₙ = 1/2n(a₁ + aₙ), sum of the first n terms
<u>Substitute given values and solve for n:</u>
- 963 = 1/2n(28 + 79)
- 963 = 1/2n(107)
- 1/2n = 963/107
- 1/2n = 9
- n = 9*2
- n = 18
8800
Since the number in the tens place is 5, the number in the hundreds place goes up.
0-4 rounds down 5-9 rounds up
Average rate of change refers to the slope of a function/equation.
To solve this, plug in for both x values and calculate the average, or mean.
x = 1
f(1) = 5(2)^1
= 5(2)
= 10
x = 5
f(5) = 5(2)^5
= 5(32)
= 160
Now, you calculate the average:
10 + 160 = 170
Divide by 2 and you get 85.
for increase:
Increase = New Number - Original Number
Then divide the increase by the original number and multiply the answer by 100
For decrease:
Decrease = Original Number - New Number
Then divide the decrease by the original number and multiply the answer by 100