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Eva8 [605]
3 years ago
10

An investment in a savings account grows to three times the initial value after t years. If the rate of interest is 5%, compound

ed continuously, t = years.
Mathematics
1 answer:
RideAnS [48]3 years ago
4 0
3p=pe^0.05t
3=e^0.05t
T=(log(3)÷log(e))/0.05
T==21.97 years
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kobusy [5.1K]

Answer:

max{x²-4x²+5} = 5 at x = 0

Step-by-step explanation:

1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.

f'(x)=0

We get:

f(x) = -3x^2+5\\f'(x) = -6x\\-6x = 0\\x = 0

So the critical number is x = 0.

2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:

f'(x) is positive when the x < 0 (for example: -6*(-1)=+)

f'(x) is negative when the x > 0 (for example: -6*(1)=-)

Therefore, you have a local maximum.

Now just get the Y value by plugging in the critical number in the original function. f(0)=5

local maximum is (0,5)

4 0
2 years ago
a bookshelf holds 43 books on each shelf is the total number of books proportional to the number of shelves in the bookshelf
Mama L [17]
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Answer:

A

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