Answer:
50 and 30.94
Step-by-step explanation:
The coat cost 46.5 pounds after a 7 percent reduction
so we can write:
- 46.5⇒ (100-7)⇒ 93 percent
- x(the initial price) ⇒ 100 percent
using the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
The jumper costs 32.8 pounds after an increase of 6 percent
so:
- 32.8⇒(100+6)⇒ 106 percent
- x (the initial price)⇒ 100 percent
using proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).
Answer: it will take her 58 minutes to walk one mile.
Step-by-step explanation:
She walks at a constant rate of 30 seconds per lap and it takes her 46 steps to walk one full lap. It means that she walks 46 steps in 30 seconds.
If each step is approximately 1 foot, it means that the number of feet that she walks in 30 seconds is 46 feet.
1 foot = 0.000189 miles
Therefore, 46 feet would be
46 × 0.00189 = 0.008694 miles
Therefore, if she she walks 0.008694 miles in 30 seconds,
The time it will take her to walk 1 mile would be
30/0.008694 = 3450.66 seconds
Converting to minutes, it becomes
3450.66/60 = 58 minutes
You use the first formula. You plug in the values to get A=400(1+(0.05/1))^6. You should get approximately $536.04. I used 0.05 because you need to change the percent to a decimal, and 1 for n because it is compounded annually, meaning once a year.
