Answer:
<em>630 cups</em>
Step-by-step explanation:
<u>Percentages</u>
This problem is most easily solved backward, i.e., from the final data up to the beginning.
There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.
If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.
On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups
Answer:
x = 19
Step-by-step explanation:
148 and 7x+15 are alternate interior angles and alternate interior angles are equal when the lines are parallel
148 = 7x+15
Subtract 15 from each side
148-15 = 7x+15-15
133 =7x
Divide each side by 7
133/7 =7x/7
19=x
Answer: Simple interest rate = 3%.
Step-by-step explanation: We are given invested amount = $5000.
Number of years of investment = 4 years.
Interest earned = $600.
Simple interest formula.
I = P R T.
Where I is the earned interest, P is the invested amount , R is the rate of interest and T is the time in years.
Plugging values in formula, we get
600 = 5000 × R × 4
600 = 20000R.
Dividing both sides by 20000, we get

0.03 = R.
Multiplying by 100 to convert it in percentage, we get
0.03 × 100 = R
R = 3 %.
Answer:
Two positive zeros, no negative zeros, two complex roots.
Step-by-step explanation:
The given function is 
According to the fundamental theorem of algebra, the function will have 4 roots.
The graph of the function intersects the positive axis at two points.
Hence the function has two positive zeros and no negative zeros.
The two remaining roots are imaginary. The function has two complex zeros.
See graph in attachment