Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
An hour and 25 minutes is 85 minutes. Using the given information we can find the distance d with the proportion ...
In 1 hour and 25 minutes, Nick will travel 5 miles.
1 fifth of ten is 2 where as 5×10 =50
Sale price = 187500
20% down = 0.2 * 187500 = 37500
Loan amount = 187500-37500 = 150000
Interest = 4.65%/12 per month
Monthly payment = $1575
At the end of the first month, outstanding amount
= loan * interest rate - monthly payment
= 149006.25
Interest accrued during the first month
=150000*0.0465/12
= 581.25
Interest accrued during the second month
= outstanding amount at the end of the first month * (0.0465/12)
= 577.40
Total interest accrued during the first two months
= 581.25+577.40
= 1158.65 (to the nearest cent)
