Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously. approximately how many years will it take to reach a balance of $500?

The time taken to reach the balance is approximately 13 years.                

Step-by-step explanation:

Given : Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously.

To find : How many years will it take to reach a balance of $500?

Solution :

The formula of compounded continuously is

Where, A is the amount A=$500

P is the principal P=$350

r is the interest rate r=2.8%=0.028

t is the time in year.

Substitute the values in the formula,

Taking log both side,

The time taken to reach the balance is approximately 13 years.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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step-by-step explanation: