Answer: PQ = 18
Step-by-step explanation:
You would divide 21/14 to see what the size difference in the triangles is to get 1.5. 1.5x12=18
Answer:
a) Interest earned = $36
New Balance = $336
b) Interest rate = 0.05 or 5%
New Balance = $517.5
c) time t = 5
New Balance = $612.5
d) Principal Amount = $675
New Balance = $783
Step-by-step explanation:
We are given:
a) Principal (P) = $300
Rate (r) = 3% or 0.03
Time (t)= 4 years
Interest earned = ?
The formula used is: 
Putting values and finding interest

So, Interest earned = $36
New Balance = Principal + Interest = 300+36 = $336
b) a) Principal (P) = $300
Rate (r) = ?
Time (t)= 3 years
Interest earned = 67.50
The formula used is: 
Putting values and finding rate

So, Interest rate = 0.05 or 5%
New Balance = Principal + Interest = 450+67.50 = $517.5
c) Principal (P) = $500
Rate (r) = 4.5% or 0.045
Time (t)= ?
Interest earned = $112.50
The formula used is: 
Putting values and finding time

So, time t = 5
New Balance = Principal + Interest = 500+112.50 = $612.5
d) Principal (P) = ?
Rate (r) = 8% or 0.08
Time (t)= 2 years
Interest earned = 108.00
The formula used is: 
Putting values and finding Principal

So, Principal Amount = $675
New Balance = Principal + Interest = 675+108 = $783
Answer:
-3/4 g =x
Step-by-step explanation:
g=-4x/3
Multiply each side by 3
3g = -4/3 x *3
3g = -4x
Divide each side by -4
3/-4 g = -4x/-4
-3/4 g =x
Answer:
D
Step-by-step explanation:
(2x - 3) + [ 4x(3x + 2)]
2x - 3 + [ (4x*3x) + (4x*2) ]
2x - 3 + [ 12x² + 8x ]
2x - 3 + 12x² + 8x
12x² + 10x - 3
The answer should be 9sqrt2 because the equation for finding the legs on a 45-45-90 triangle is hypotenuse/sqrt2.