she saved $3, and we know the discount is 15%, so her savings is that 15%, thus we know 15% of that purchase is 3.
let's say the full price is x, and therefore the 100%, if we know 3 is the 15%, what is x?

The most important thing here is converting the length into the same units. So:
3 feet 9 inches = 45 inches
now, we know that compound 'growth' can be worked out by multiplying the initial value by the decimal to the power of the years. So, relating to this question, the equation would be:
5 x α⁴ = 45
Now, we have to solve for α!
α⁴ = 45/5
α⁴ = 9
α = ⁴√9
α = 1.732050808
This is the increase every year written as a decimal so, if we want to work out the pure percentage, we have to subtract 1 and then multiply by 100:
1.732050808 - 1 = 0.732050808
0.732050808 x 100 = 73.20508076
Rounded to 2 decimal places the answer would be 73.21% !
Answer:

Step-by-step explanation:
We have given differential equation 
We know that linear differential equation is given by 
On comparing with standard equation P = -2 and Q= 
Now integrating factor 

Now solution of differential equation is given by




Answer:
X = 41/7 or 5 6/7
Step-by-step explanation:
Answer:
21 feet (20.977)
Step-by-step explanation:
1. Draw a picture, it makes it much easier. Draw a right triangle with the vertical labeled 25 and the horizontal labeled X, then label the angle adjacent to the horizontal and hypotenuse 40°
2. Use tangent because X is opposite of 40 and 25 is adjacent to angle 40. the equation would be Tan40/1 = X/25
3. You then cross multiply to get 25Tan(40) = X
4 You then plug it into a calculator and get the full answer of 20.97749078, but I always round up to either 20.98 or 21 feet, whatever your teacher allows