Answer:
x² + (x + 2)² + (x + 4)² = 12,296
x² + x² + 4x + 4 + x² + 8x + 16 = 12,296
3x² + 12x + 20 = 12,296
3x² + 12x = 12,276
x² + 4x = 4,092
x² + 4x + 4 = 4,096
(x + 2)² = 4,096
x + 2 = 64
x = 62
The numbers are 62, 64, and 66.
(62 × 64 × 66) ÷ 8 = 32,736
2 years
5 years
8 years
9514 1404 393
Answer:
(c) 5 years
Step-by-step explanation:
A graphing calculator shows the function ...
f(t) = 16000(1 -0.35)^t -2000
will be zero for t ≈ 4.83 years. Rounded to the nearest year, the value is expected to be about $2000 after 5 years.
__
Using a scientific calculator, you can rewrite the equation to make use of logarithms.
2000 = 16000(1 -0.35)^t
2000/16000 = 0.65^t
log(1/8) = t·log(0.65)
t = log(0.125)/log(0.65) ≈ 4.827
Devon's car will be about 5 years old when its value is $2000.
_____
Additional comment
We expected to see the same sort of formula for continuous depreciation that we see for continuous growth: 2000 = 16000e^(-rt). The value formula given in the problem statement is a continuous function, but it should not be described as modeling continuous depreciation.
Answer:
C
Step-by-step explanation:
Correct on EDGE 2022
Answer:
cross multiplication
Step-by-step explanation: