Answer:
Step-by-step explanation:
a)
![[ \ where \ k \ is \ a \ constant \ ]](https://tex.z-dn.net/?f=%5B%20%5C%20where%20%5C%20k%20%5C%20is%20%5C%20a%20%5C%20constant%20%5C%20%5D)
<em><u>Find k.</u></em>
Given x = 12, y = 5,
b)
<em><u>Find x.</u></em>
Given y = 10
We have k = 300
c)
<u><em>Find y</em></u>
Given x = 3
We have k = 300
Answer:
See below ↓
Step-by-step explanation:
We need to check the different time intervals to find the max. height
- t = 0 or 1 [both give same result]
- f(1) = -16(1) + 16(1) + 12 = 12 feet
2. t = 2
- f(2) = -16(2)² + 16(2) + 12 = -20 feet
⇒ Clearly as she is diving, her maximum height will be her initial height which is <u>12 feet</u>
⇒ To achieve this, it takes her <u>0 seconds</u> [initial height = no time needed]
<u>Taking f(x) = 0 [surface of water → just touching/hit the water]</u>
- 0 = -16x² + 16x + 12
- 4x² - 4x - 3 = 0
- 4x² - 6x + 2x - 3 = 0
- 2x(2x - 3) + 1(2x - 3) = 0
- (2x + 1)(2x - 3) = 0
- x is positive
- x = 3/2 = <u>1.5 seconds</u>
<u></u>
⇒ After 1 second, she is <u>12 feet</u> above the water
⇒ The diving board is <u>12 feet</u> above the water
Answer: = 6 years 7 months
Step-by-step explanation:
Amount deposited = $8,500
Interest rate = 7%
Therefore, reaching account value of $59,700
8,500 / 100 X 7/1
= 85 x 7
= $595 + 8, 500
= $9,095 X 6 = 54, 570 (6 years)
9,095 ÷ 12 x 7 + 54, 570
= 59, 700
= 6 years 7 months
Answer:
Answer. 3. and 21 laps take time
Step-by-step explanation:
