Answer:
0.0000571
Step-by-step explanation:
Height after 9th bounce = Initial height * (19/100)^9
= 177*(0.19)^9
= 0.00005711572
Answer:
<u><em>Part A:</em></u> D. 
<u><em>Part B:</em></u> C. 
Step-by-step explanation:
For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.
The equation: 
Now plug in 0 for x.

Now solve.
y = (1)(3)
y = 3
This proves that this is the correct answer.
For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.
The equation: 
Now plug in x for 0 and solve:



This equation is true, now we check for the other value of x, 3.



This is also true so that means this is the correct answer.
Answer:
15.52-125 easy
Step-by-step explanation:
Answer:
V = 125.6 in³
Step-by-step explanation:
let V be volume, h the height and r the radius, then the equation relating the quantities is
V = khr² ← k is the constant of variation
To find k use the condition V = 402.12, h = 8, r = 4
402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )
3.14 = k [ note 3.14 is π )
V = 3.14hr² ← equation of variation [ V = πr²h ]
Given r = 2 and h = 10, then
V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6
Inflation at a constant rate can be solved using the compound interest formula:
present value, P = 2.80
inflation rate, i = 2.8% = 0.028
period, n = 7 (years)
Value in 7 years,
future value
= P(1+i)^n
= 2.8(1.028)^7
= 3.3971
= 3.40 (to the nearest cent)