Last year, gilbert contributed $75 toward his 401(k) account each month. if his employer matched 16% of his contributions, what was the total amount contributed to the 401(k) at the end of the year?

$1044 was contributed.

Step-by-step explanation:

Last year, Gilbert contributed toward his 401(k) account each month = $75.00

Contribution in a year = $75.00 × 12 = $900.00

His employer matched 16% of his contribution

Employer's contribution = 16% of $900.00

× 900

= 0.16 × 900 = $144.00

Total contribution = $900 + $144 = $1044

The total amount $1044 was contributed to the 401(k) at the end of the year.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places