Answer:
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$29.99 is the final price.
"y" is the original price.
Subtract the savings from the original price to get the final price of $29.99.
70% = 70/100 = .70
y - (y x .70) = 29.99
y - .7y = 29.99
.3y = 29.99
.3y/.3 = 29.99/.3
y = 99.96667
y = $99.97 (rounded)
Answer:
$6261.61
Step-by-step explanation:
The solution to the differential equation is the exponential function ...
A(t) = 5000e^(0.0225t)
We want the account value after 10 years:
A(10) = 5000e^(0.225) = 6261.61
The value of the account after 10 years will be $6,261.61.
_____
The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).
Or, you can solve the differential equation using separation of variables:
dA/A = 0.0225dt
ln(A) = 0.0225t +C . . . . integrate
A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000
X is the number:
Therefore, the equation is:
8(x-2)=3(x+3)
8x-16=3x+9
8x-3x=9+16
5x=25
x=25/5
x=5
Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5
