Answer: The required solution is 
Step-by-step explanation:
We are given to solve the following differential equation :
where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.
From equation (i), we have
Integrating both sides, we get
![\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]](https://tex.z-dn.net/?f=%5Cint%5Cdfrac%7Bdy%7D%7By%7D%3D%5Cint%20kdt%5C%5C%5C%5C%5CRightarrow%20%5Clog%20y%3Dkt%2Bc~~~~~~%5B%5Ctextup%7Bc%20is%20a%20constant%20of%20integration%7D%5D%5C%5C%5C%5C%5CRightarrow%20y%3De%5E%7Bkt%2Bc%7D%5C%5C%5C%5C%5CRightarrow%20y%3Dae%5E%7Bkt%7D~~~~%5B%5Ctextup%7Bwhere%20%7Da%3De%5Ec%5Ctextup%7B%20is%20another%20constant%7D%5D)
Also, the conditions are
and
Thus, the required solution is
First expand by multiplying
Do 5 x 17=85
Then 5 x 13= 65
As them
85+65=150
8-7=1
150/1=150
Answer-150
Answer:
It would be worth $5,040 after 7 years
Step-by-step explanation:
Multiply 40% by 7 and get 280, then turn it into a percent, .280, finally multiply it by $18,000 to get $5,040
Answer:
208 ⅓ ft²
Step-by-step explanation:
1⅞ = 15/8 inches ÷ 12
= 5/32 feet on map
Actual = 5/32 × 80
= 25/2 feet
2½ = 5/2 inches ÷ 12
= 5/24 feet on map
Actual = 5/24 × 80 = 50/3
Actual area:
25/2 × 50/3
= 625/3 ft²
= 208 ⅓ ft²
Answer:
25
Step-by-step explanation:
Sqrt 25 = 5
5^2 = 25
