When u add it stays the same but for subtraction u change the sign.
Example: 2- (-5)=7
PQ is the tangent, therefore you can use a theorem: The arc measure is double the amount of the angle the tangent makes.
So: 62/2=31
<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.
<u>Let's calculate theor individual work rate</u> :
Felix's rate = 1/90
Oscar's rate = 1/120
Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360
<u>Time taken for both of the to decorate 8 dozens</u> :
Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes
<u>Hence, the time taken to decorate 16 dozens will be</u> :
(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).
Learn more :brainly.com/question/18796573
The investment with the bigger return is investment B.
<h3>What is simple interest and compound interest?</h3>
Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued. This differs from compound interest where the debt holder pays interest on the principal and the interest rate already accrued
<h3>What is the compound interest?</h3>
The formula for calculating future value:
FV = P (1 + r)^n
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
2000 x (1.06)^12 = $4024.39
Compound interest = $4024.39 - $2000 = $2024.39
<h3>What is the simple interest? </h3>
Simple interest = principal x time x interest rate
2000 x 0.08 x 12 = $1920
To learn more about future value, please check: brainly.com/question/18760477
Answer: 4y+4z
Step-by-step explanation:
