Answer:
−135z
2
−2z
The 2 is representing Square
Step-by-step explanation:
(3z)
2
−4z+11−(12z)
2
+2z−11
Expand (3z)
2
.
3
2
z
2
−4z+11−(12z)
2
+2z−11
Calculate 3 to the power of 2 and get 9.
9z
2
−4z+11−(12z)
2
+2z−11
Expand (12z)
2
.
9z
2
−4z+11−12
2
z
2
+2z−11
Calculate 12 to the power of 2 and get 144.
9z
2
−4z+11−144z
2
+2z−11
Combine 9z
2
and −144z
2
to get −135z
2
.
−135z
2
−4z+11+2z−11
Combine −4z and 2z to get −2z.
−135z
2
−2z+11−11
Subtract 11 from 11 to get 0.
−135z
2
−2z
Answer:
The final balance is $18,332.79.
The total compound interest is $6,332.79.
Step-by-step explanation:
The scale factor of the model car is
= 0.04166.
Step-by-step explanation:
Step 1:
The real-life car is much larger than the model car. For every inch on the model car, it is 2 feet on the real-life car.
We must convert 2 feet into inches. 2 feet = 24 inches.
So 1 inch on the model car is equal to 24 inches on the real-life car.
Step 2:
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, the model car is the measurement after scaling and the real-life car is the measurement before scaling
The scale factor 
So the scale factor is
= 0.04166.
You need common denominators to add or subtract fractions. If you multiple (2/5) by 2 to both the top and bottom, you get (4/10). Now you just subtract the top numbers, or numerators. 4 - 3 = 1. Answer: 1/10.