Answer:
x=4
Step-by-step explanation:
13x+1 = 11x+9
13x-11x = 9-1
2x = 8
x = 4
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=41
y=139
Step-by-step explanation:
x+y = 180 since they form a straight line
y is 3x +16
y = 3x +16
Replace y in the first equation
x+3x +16 = 180
Combine like terms
4x +16 = 180
Subtract 16 from each side
4x+16-16 =180-16
4x =164
Divide each side by 4
4x/4 =164/4
x = 41
y = 3x +16
y = 3*41 +16 = 123+16 =139
Answer:
3
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
w = 180° - (90 + 31) °= 180° - 121° = 59°
y = 59° ( vertical angle to w )
w and v are adjacent angles, thus
w + v = 180°
59° + v = 180° ( subtract 59° from both sides )
v = 121°
x = 121° ( vertical angle to v )
Thus
v = 121°, w = 59°, x = 121°, y = 59°