<span>Answer:
Roma Sherry drove 330 miles from her hometown to Tucson. During her return trip, she was able to increase her speed by 11 mph. If her return trip took 1 hour less time, find her original speed and her speed returning home.
:
Let s = original speed
then
(s+11) = return speed
:
Write a time equation: Time = distance%2Fspeed
:
Original time = return time + 1 hr
330%2Fs = 330%2F%28%28s%2B11%29%29 + 1
:
Multiply equation by s(s+11) and you have:
330(s+11) = 330s + s(s+11)
:
330s + 3630 = 330s + s^2 + 11s
:
0 = 330s - 330s + s^2 + 11s - 3630
:
A quadratic equation:
s^2 + 11s - 3630 = 0
Factor this to:
(s + 66)(s - 55) = 0
Positive solution
s = 55 mph is original speed.
:
Find the time
330/55 = 6 hr, original time
and
330/66 = 5 hrs, faster time; confirms our solution.</span>
Ali saves Rs 2576 every month
Step-by-step explanation:
- Step 1: Given Ali's monthly salary = Rs 18400. Calculate the amount spent on food articles
Amount spent on food = 30% of 18400 = 30/100 × 18400 = Rs 5520
- Step 2: Find the remaining amount.
Remaining amount = 18400 - 5520 = Rs 12880
- Step 3: Find amount spend on conveyance and clothes
Amount spent on conveyance and clothes = 40% of 12880
= 40/100 × 12880 = Rs 5152
- Step 4: Find his monthly savings.
Monthly savings = 50% of 5152 = 50/100 × 5152 = Rs 2576
Answer:
(a)His monthly Interest Rate=0.8%
(b)Annual Interest Rate = 9.6%
(c)
Step-by-step explanation:
For a Principal P invested at a yearly rate r, compounded m times in t years
Amount at Compound Interest= 
Comparing with Jerry's equation y=388 (1.008)
(a)His monthly Interest Rate= 0.008=0.8%
(b)Annual Interest Rate= Monthly Interest Rate X 12 =0.8 X 12 = 9.6%
(c)If I invest $500 at the same rate of return,
Total Money after m months
= 
It depends on the question . What is the question asking about?
Answer:
increasing
Step-by-step explanation:
This line is increasing
The slope is greater than 0 so the line is going up
