The key is Esther travelled the same distance - x - in both her morning and evening commute.
45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.
45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.
<span>Hope that makes a little sense. And I also hope it's right</span>
Answer:
Rs 1000.97
Step-by-step explanation:
x = original price
new price = x (1.0909)(1.0833)(1.077) = 1274
x = Rs 1000.97
Answer:
Minimum of 6 squares.
Step-by-step explanation:
The dimension of the rectangular carton = 6 by 4 inches.
The area of the carton = length x width
= 6 x 4
= 24 square inches
Assume that we have a square of side length 2 inches, then;
area of the square = length x length
= 2 x 2
= 4 square inches
So that since all materials is to be used,
the minimum number of squares that it can produce = 
= 6
Answer:
$448.76
$73.76
Step-by-step explanation:
We are to calculate the future value with monthly compounding
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
$375 x ( 1 + 0.06/12)^12 x 3
$375 x (1.005)^36 = $448.76
Interest earned = future value - amount saved
$448.76 - $375 = $73.76
