The annual interest rate is 6.2%.
Solution:
Given data:
Interest = $310
Principle = $1000
Time = 5 years
To find the annual interest rate:
<u>Simple Interest formula:</u>
Substitute the given values in the formula, we get
Do cross multiplication.
Divide both sides of the equation by 1000, we get
Divide by 5 on both sides of the equation, we get
R = 6.2%
Hence the annual interest rate is 6.2%.
The correct answer is 2,921.25
Answer:
The ball is in the air for approximately 3.27 seconds ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- The height of the ball is modeled by the function
h(t) = -4.9 t² + 16 t
- We need to find the time that the ball is in the air
- The ball is in the air from its initial position and then return to the
same position
- That means h(t) = 0 because h(t) represent the height of the ball
from its initial position
∵ h(t) = -4.9 t² + 16 t
∵ h(t) = 0
∴ 0 = -4.9 t² + 16 t
- Add 4.9 t² to both sides
∴ 4.9 t² = 16 t
- Subtract 16 t from both sides
∴ 4.9 t² - 16 t = 0
- Take t as a common factor
∴ t (4.9 t - 16) = 0
- Equate each factor by 0
∴ t = 0 and 4.9 t - 16 = 0
∵ 4.9 t - 16 = 0 ⇒ add 16 for both sides
∴ 4.9 t = 16
- Divide both sides by 4.9
∴ t = 3.2653
∴ t = 0 ⇒ initial position
∴ t = 3.2653 seconds ⇒ final position
* <em>The ball is in the air for approximately 3.27 seconds</em>
Answer:
D
Step-by-step explanation:
r/3 + t = w to get r by itself (Which I think is your question)
r/3 + t = w subtract t from both sides
r/3 = w - t and times by 3 on both sides
r = 3(w-t)
