I'm assuming you mean he earns $8.75 an hour.
So first we have to find out how much money Mark gets without any commission. We do this by multiplying 30 and 8.75 and getting $262.50 .
Then, we have to find the commission. 5% as a decimal is .05, and in order to get 5% of a number, we multiply the 5% and the number together. In other words, we now have to multiply .05 and 480 together, which results in 24.
In conclusion, as a total salary, Mark earns $262.50 + $24, or $286.50
The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.
(b) When <em>x </em>= 0.6 and q = 0.5 m/s, the speed of the wagon is approximately <u>0.243 m/s</u>.
Reasons:
(a) The distance from the cart to the pulley, <em>r</em> is given by Pythagoras's
theorem as follows;
r = √((3 - 0.6)² + x²) = √(2.4² + x²)
The speed of the wagon = 
The speed of the rope, q = 
By chain rule, we have;
Therefore;
(b) The speed of the wagon when <em>x</em> = 0.6 if q = 0.5 m/s is given as follows;
The speed of the wagon when <em>x </em>= 0.6 and q = 0.5 m/s, 
≈ <u>0.243 m/s</u>
Learn more here:
brainly.com/question/17081984
8×1+5×(1/10)+9×(1/1000)
8+5×(.1)+9×(.001)
8+.5+.009
Answer is 8.509
Answer:
5y+69.50<90
Step-by-step explanation:
You can think of the number of gigabytes he will use as "y", since we don't know the number of gigabytes he will use. The flat cost of one month is $69.50.
You need to add those to calculate the complete cost. The inequality would use a less than sign because he needs to pay less than $90/month. It would not use an inequality sign with a line under it because the problem doesn't say he wants to use $90 or less.
You would solve using basic computation (subtraction and division). Hope this helped!
