Answer:
Step-by-step explanation:
1 dollar = 30 cents tax + 70 cents net income
<u>The ratio of taxes to net income:</u>
Correct choice is D
Toby saves 30.30 money by buying 30 T-shirts at better price.
Step-by-step explanation:
Cost of pack of 5 T-shirts = 13.00 money.
Cost of pack of 2 T-shirts = 7.22 money.
Toby wants to buy total T-shirts = 30 T-shirts.
<u>Case 1 </u>:
For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.
The cost for six packs of 5 T-shirts = 6*13.00 = 78.00 money.
<u>Case 2 </u>:
For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.
The cost for 15 packs of 2 T-shirts = 15*7.22 = 108.30 money.
The money saved = 108.30 -78.00 = 30.30 money.
Therefore, The better price to buy 30 T-shirts is 78.00 money.
Answer:
600,000 km²
Step-by-step explanation:
Using the exponential regression calculator : the regression fit obtained for the data is :
36510 * (1.08^x)
After 40 years ;
x = 40
Hence,
y = 36510 * 1.08^40
y = 36510 * 21.72452
y = 793,162.27 km
Hence, y is closest to 800,000 km
The point-slope form of the equation of a line is
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=%20y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29%20)
where
is a point on the line, and
![m](https://tex.z-dn.net/?f=%20m%20)
is the slope of the line.
We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.
The slope of the line that passes through points
![(x_1, y_1)](https://tex.z-dn.net/?f=%20%28x_1%2C%20y_1%29%20)
and
![(x_2, y_2)](https://tex.z-dn.net/?f=%20%28x_2%2C%20y_2%29%20)
is
![m = \dfrac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.
![m = \dfrac{4 - 5}{-1 - (-3)} = \dfrac{-1}{-1 + 3} = \dfrac{-1}{2} = -\dfrac{1}{2}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cdfrac%7B4%20-%205%7D%7B-1%20-%20%28-3%29%7D%20%3D%20%5Cdfrac%7B-1%7D%7B-1%20%2B%203%7D%20%3D%20%5Cdfrac%7B-1%7D%7B2%7D%20%3D%20-%5Cdfrac%7B1%7D%7B2%7D%20)
Now we use the point-slope formula with point 1 and the slope we found just above.
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=%20y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29%20)