Answer: 68.5°F and 76.5°F
Step-by-step explanation:
Given: The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) .
According to the given absolute inequality equation, where x is the temperature of house
|x – 72.5| = 4
it gives x – 72.5 ≥ -4 and x – 72.5 ≤ 4
⇒ -4 ≤ x – 72.5 ≤ 4
Adding 72.5 on both the sides, we get
⇒ -4+72.5 ≤ x ≤ 4+72.5
⇒68.5 ≤ x ≤ 76.5
Thus the minimum temperature is 68.5° F and the maximum temperature is 76.5° F.
Answer:
Simple interest = $36
Compound interest = $48.96
It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.
Step-by-step explanation:
Simple interest is calculated on the principal amount of a loan. Compound interest is calculated on the sum of principal amount and accumulated interest of previous periods.
Simple interest = 
Compound interest = 
Here, P denotes principal amount, R denotes rate of interest, T denotes time.
Given: $600 invested at 3% simple interest for 2 years, $600 invested at 4% compounded monthly for 2 years
To find: Simple interest and compound interest.
Solution:
Take P=600, R=3% and T=2 years
Using the formula of simple interest mentioned above,
Simple interest = 
So, interest earned is $36
Take P=600, R=4% and T=2 years
Using the formula of compound interest mentioned above,
Compound interest = 
=
=![600\left [ \left ( \frac{26}{25} \right )^2-1 \right ]](https://tex.z-dn.net/?f=600%5Cleft%20%5B%20%5Cleft%20%28%20%5Cfrac%7B26%7D%7B25%7D%20%5Cright%20%29%5E2-1%20%5Cright%20%5D)
=
=
So, interest earned is $48.96
It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.
Answer:
A) 45°
Step-by-step explanation:
A) 45°
10 x 4 = 40. This should help with the first one.