Answer: 47.8044444444
Step-by-step explanation: that's what i got make sure you typed out the problem correctly as well
Answer:
Step-by-step explanation:
The given equation is :
We need to solve it using inverse operations.
Subtract 5 from both sides of the equation.
So, the solution of the given equation is .
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
-6.5(n-5)=18.2
Use Distributive Property:
-6.5n + 32.5 = 18.2
Subtract 32.5 from both sides:
-6.5n = -14.3
Divide both sides by -6.5
n = -14.3 / -6.5
n = 2.2
2/3 + 1/3 = 1. or 1/1 if you're looking for a fraction.