Answer:
613297
Step-by-step explanation:
The equation for exponential decay is y=A(1-r)^t
A=654,000
r (rate)=0.008 (0.8% as a decimal)
t=8 (2009-2000=8)
y=659,000(1-0.008)^8
y=613297.4028
Since you can't have part of a person, round: y=613297
Answer:
slope = $50
Step-by-step explanation:
Given the linear equation, y = mx + b:
The slope (m) is the rate of change for every<em> x </em>number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.
Slope: The painting company charges $50 for every 1 hour of labor.
The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.
Combined, the linear equation will be:
y = 50x + 500
Please mark my answers as the Brainliest if you find my explanations helpful :)
Answer: 3∛2
<u>Step-by-step explanation:</u>
First, factor 128 .... you need three common factors to bring one on the outside of the radical.
![\dfrac{3}{4}\sqrt[3]{128} \\\\\\=\dfrac{3}{4}\sqrt[3]{4\cdot 4\cdot 4\cdot 2} \\\\\\=\dfrac{3}{4}\cdot 4\sqrt[3]{2} \\\\\\=\large\boxed{3\sqrt[3]{2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%5Csqrt%5B3%5D%7B128%7D%20%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D%5Csqrt%5B3%5D%7B4%5Ccdot%204%5Ccdot%204%5Ccdot%202%7D%20%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D%5Ccdot%204%5Csqrt%5B3%5D%7B2%7D%20%5C%5C%5C%5C%5C%5C%3D%5Clarge%5Cboxed%7B3%5Csqrt%5B3%5D%7B2%7D%20%7D)
Answer: (644 - 200) / 12 = x
Step-by-step explanation:
To find the number of albums Floyd sold, first, subtract $200 dollars (the base rate) from his total profit of $644. This gives you a result of $444. Then, divide $444 by $12 (the amount made per album sold) to get a result of 37 albums sold. The equation for this is (644 - 200) / 12 = x.
