Answer:
Step-by-step explanation:
<u>Sum of infinite GP is</u>:
<u>The second term is</u>:
<u>Eliminate r in the system:</u>
- a/(1-r) = 16 ⇒ a = 16 - 16r ⇒ 16r = 16 - a ⇒ r = 1 - a/16
- ar = -0.5 ⇒ r = -0.5/a
<u>Compare the two equations and solve for a:</u>
<u>Multiply both sides by 16a:</u>
- 16a - a² = -8
- a² - 16a = 8
- a² - 16a + 64 = 72
- (a - 8)² = 72
- a - 8 = ±√72
- a = 8 ± √72
- a = 8 + 6√2
- a = 8 - 6√2, excluded as it is negative and makes common difference positive and so an increasing function
a = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1
Answer: $12.61
Step-by-step explanation:
Given : Total cost of meal for 5 people = $52.95
Jenna ordered a dessert for $2.50.
Total cost other 4 need to pay = $ (52.95- 2.50) = $ 50.45
Now , each person will pay ![=\$\dfrac{50.45}{4}\approx \$12.61](https://tex.z-dn.net/?f=%3D%5C%24%5Cdfrac%7B50.45%7D%7B4%7D%5Capprox%20%5C%2412.61)
Hence, each of the other person need to pay $12.61 .
Answer:
4
Step-by-step explanation:
The integers are
x
x+1
x+2
x+3
x+4
since they are consecutive
The largest is x+4
The smallest is x
Difference is
x+4 -x
4
Answer:
x>8
Step-by-step explanation:
you first subtract 13 from both sides resulting in -2x<-16. Then you divide -2 on both sides and when you divide a negative on both sides you have to change the sign, -16/-2=8 so x>8.