Answer:
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Step-by-step explanation:
Let
x ------> the amount of money that should be invested at the rate of 12%
3,000-x -----> the amount money that should be invested at the rate of 10%
we know that
The sum of the interest on each of the accounts must be equal to the total interest.
Solve for x
therefore
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Hope this helps you!!!! :D
Answer:
The general solution of the equation is y =
+ 5
Step-by-step explanation:
Since the differential equation is given as y'(t) = 3y -5
The differential equation is re-written as
dy/dt = 3y - 5
separating the variables, we have
dy/(3y - 5) = dt
dy/(3y - 5) = dt
integrating both sides, we have
∫dy/(3y - 5) = ∫dt
∫3dy/[3(3y - 5)] = ∫dt
(1/3)∫3dy/(3y - 5) = ∫dt
(1/3)㏑(3y - 5) = t + C
㏑(3y - 5) = 3t + 3C
taking exponents of both sides, we have
exp[㏑(3y - 5)] = exp(3t + 3C)
3y - 5 =
3y - 5 =

3y =
+ 5
dividing through by 3, we have
y =
+ 5
So, the general solution of the equation is y =
+ 5
Answer:

Step-by-step explanation:
Given that,
The base of the parallelogram, b = 2.5 cm
Height of the parallelogram, h = 1.25 cm
We need to find the area of the logo. The formula for the area of the parallelogram is given by :

So, the area of the logo is
.
Answer:
not sure if i am 100 percent correct have not done this for a while but i think it would be b
Step-by-step explanation: