Answer:
<em>Correct choice: C. $320</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=P.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Marving is saving money in a savings account with a simple interest rate of r=7.5%=0.075. It's known that after t=12 years, the account had earned $288 interest. Substituting in the formula:
288 = P*0.075*12
Calculating:
288 = 0.9P
Dividing by 0.9:
P = $320
Correct choice: C. $320
Answer: x≈3
Step-by-step explanation:
0.48 = log x , this could also be written as :
x = 0.48 , that is
x = 
x = 3.01995172
x≈ 3
Answer:
1) x = 30
2) x = 11.6
Step-by-step explanation:
1) 2x = 4x - 60 (vertical angles are equal)
subtract 4x from each side of the equation:
-2x = - 60
divide both sides by -2:
x = 30
2) 7x + 16 + 3x + 48 = 180° (supplementary angles add up to 180°)
combine like terms:
10x + 64 = 180
subtract 64 from both sides of the equation:
10x = 116
divide both sides by 10:
x = 11.6
AB is proportional to XY since they are similar triangles making it 25:10 or 5:2
so then AC:XZ would be 5x:2x and 5x:6 so then its 15:6 since x is 3 basically set up proportions and so value of the big triangle to the small triangle would be at rails os 5:2
