Answer:
$ 20,189.65
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
From the above question, we are to find the Principal. The formula for Principal compounded continuously =
P = A / e^rt
Where:
A = Amount after time t = $100,000
r = Interest rate = 4%
t = Time in years = 40 years
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for P
P = A / e^rt
P = 100,000.00 / e ^(0.04×40)
P = $ 20,189.65
Therefore, the amount Jake's parents should invest = $ 20,189.65
B Beacuse b best fits the suituation
Answer: y+1=-7 (x-5)
Step-by-step explanation:
The formula for point-slope form is y-y1= m (x-x1)
Step 1- Finding the slope by using formula 
:
(5,-1) (6,-8) or (x1, y1) (x2, y2)
-8+1 = -7
6-5 = 1
Slope + -7/1 or -7
Step 2- Then insert numbers in point slope form:
y-y1 = m(x-x1)
y+1 = -7 (x-5)
For this case we have the following transformation:
Assume k> 0
To graph f (x) + k, move the graph k units up.
Applying the transformation we have:
y = x ^ 2 + 5/2
Answer:
The equation of the new parabola is:
y = x ^ 2 + 5/2
Answer:
The simplified expression is: 5/2
Step-by-step explanation:
//5^-3 = 1/(5^3)
(2^2*5^6)/(5^3*2^3*5^2)=
(2^2*2^-3)*(5^6*5^-3*5^-2)=
(2^-1)*(5^1)=
5/2=
