For this case we must resolve each of the inequalities and find the solution set.
Inequality 1:
We subtract 7 from both sides of the inequality:
We divide between 12 on both sides of the inequality:
Thus, the solution is given by all values of x less than
Inequality 2:
We add 8 to both sides of the inequality:
We divide between 5 on both sides of the inequality:
Thus, the solution is given by all values of x greater than
The solution set is given by:
(-∞, 
) U (
,∞)
Answer:
(-∞, ) U (,∞)
A- could be a part and/or a percent
b- 32×25%=8, 32-8=24
Answer:
<em>Avram will have to pay $7,047 simple interest</em>
Step-by-step explanation:
<u>Simple Interest</u>
Definition: Interest calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=A.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Avram has a principal of P=$14,500 at a simple rate of r=5.4%=0.054 for t=9 years, thus:
I=14,500*0.054*9=7,047
I=$7,047
Avram will have to pay $7,047 simple interest
4 cups of white paint since there was 4 cups of red paint
Larry needs
to score
33 points in the last game to have an average of 25 PPG.
To find the answer, we can solve the equation:
<em />(where <em>p</em> is how many points he needs to score in the last game)
To find the mean of a group of numbers, you add them all up and divide the total by the number of numbers there are. Since Larry averaged 23 PPG in 4 games, we can multiply 23 by 4 to get the total of the first 4 games from the data. Then, we find <em>p</em>, which we will add to get our final total. Then, you divide by the 5 games.
First, I simplified 4 x 23 to get 92. Then, I multiplied each side by 5 to get rid of the denominator. Finally, I subtracted 92 from each side to isolate <em>p</em>, and found that <em>p</em> = 33.
