The amount of money in an account with continuously compounded interest is given by the formula A = Pert , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 3.1%. Round to the nearest tenth.

Answers

Answer 1

Answer: A=future amount
P=present amount
r=rate in decimal
t=time in years

when A=2P, then that is double
A=Pe^(rt)
2P=Pe^(rt)
divide by P
2=e^(rt)
r=3.1% or 0.031 solve for t
2=e^(0.031t)
take the ln of both sides
ln(2)=0.031t
divide both sides by 0.031
(ln(2))/0.031=t
use calculator
22.359=t
round to tenth
22.4 years to double

Answer 2

Answer: It will take approximately 1.04 years to double the principal amount.

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Cos3x=4cos^3x-3cosx prove

Answers

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Solve the compound inequality.

Answers

Answer:

x < 0 or x > 3

Step-by-step explanation:

First, we'll solve 5x - 11 < -11.

5x < 0 so x < 0.

As for 4x + 2 > 14, 4x > 12 which means x > 3.

What is the measure of AC?

Answers

Answer:

A or B

Step-by-step explanation:

A bag contains 5 yellow marbles, 7 pink marbles, and 3 purple marbles. Gordon selects a marble without looking. What is the probability that he selects a yellow marble or a purple marble? A.8/15
B.1/15
C.7/15
D.2/45

Answers

5/15 x 3/15 = 1/3x 1/5 = 1/15

B is the answer.

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Which of the following best describes the algebraic expression x/3 - 15?A. A number divided by three minus fifteen.
B. Three divided by a number minus fifteen.
C. Three divided by a number less than fifteen.
D. A number divided by three less than fifteen.

Answers

Answer:

Step-by-step explanation:

X can be referred to as a number here because it can be anything.

and X is being divided by three there.

also according to the

B brackets

O order or power

D division

M multiplication

A addition

S subtraction

BODMAS rule division would be done before you subtract the 15

I hope you do well in the future!!! Believe in yourself!

Final answer:

The best description for the algebraic expression x/3 - 15 is 'A number divided by three minus fifteen'. This description accurately represents the mathematical operations indicated in the expression.

Explanation:

The algebraic expression x/3 - 15 best described by: 'A number divided by three minus fifteen.' This is a result of the mathematical symbols represented in the expression. The expression x/3 is read as 'a numberdivided by three,' and the '- 15' translates to 'minus fifteen.' Therefore, the entire expression, x/3 - 15, describes a scenario where a number is divided by three, and then fifteen is subtracted from the result.

Learn more about Algebraic Expressions here:

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What does √(19 - 3) to the power of two mean

Answers

Answer:

It is 19 - 3 = 16 because the exponent of 2 cancels out the square root.

Step-by-step explanation:

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