Answer:
9.9 years
Step-by-step explanation:
A = P e ^(rt)
Where A is the amount in the account
P is the amount invested
R is the interest rate
t is the time
P = 8500
r =7% = .07
A = 17000
Substituting into the equation
17000=8500 e^(.07t)
Divide each side by 8500
17000/8500=8500/8500 e^(.07t)
2 = e^(.07t)
Take the natural log of each side
ln (2) = ln e^(.07t)
ln(2) = .07t
Divide each side by .07
ln(2)/.07 = .07t/.07
ln(2)/.07 = t
9.902102579=t
Rounding to one decimal place
9.9 years
Answer:
you should make the picture more clear, i cant see the answer choices
Answer: 100pi
Step-by-step explanation:
Look at attachment
Answer:
No, I do not agree with them. Both are wrong.
Step-by-step explanation:
For a shape or figure to be considered a scaled copy of another, the length of all the segments of scaled copy must be equal to the length of all corresponding segments of the original figure multiplied by the same scale factor.
By examining the scaled copies B, C, and D, we would conclude that only D can be referred to as a scaled copy of D, because all the segments are exactly twice the corresponding segments of A. C and B do not have all its segment scaled in the same proportion.
Therefore, we cannot agree with Priya, nor Tyler. They are both wrong.
Answer/Step-by-step explanation:
✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):
Rate of change (m) = 15
✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.
✔️Initial value is the same as the y-intercept.
To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
The initial value/y-intercept = $30
✅In this context, $30 is the start-up fee to cover art supplies.
