Mrs. Keller’s employer pays 90% of her health insurance premium and deducts the remainder from her paycheck. Mrs. Keller is paid semimonthly, and the annual premium is $12,194. How much is deducted from her paycheck for health insurance?

Respuesta :

Hi there

paid semi-monthly amounts to
12×2 = 24 payments.

So How much is deducted from her paycheck for health insurance
12,194×((100−90)%÷24)
=50.81...answer

Hope it helps

Answer:

$50.81

Step-by-step explanation:

We have been given that Mrs. Keller’s employer pays 90% of her health insurance premium and deducts the remainder from her paycheck.                

First of all let us find the 10% of 12,194 as Mrs. Keller pays 10% (100-90) of her health insurance premium.

[tex]\text{The amount paid by Mrs. Keller for her premium}=\frac{10}{100}*\$12,194[/tex]

[tex]\text{The amount paid by Mrs. Keller for her premium}=0.10*\$12,194[/tex]

[tex]\text{The amount paid by Mrs. Keller for her premium}=\$1219.4[/tex]

To find the let us divide amount total paid by Mrs. Keller for her health insurance by 24 as semimonthly means 24 times in a year.

[tex]\text{The amount deducted from Mrs. Keller's each paycheck}=\frac{\$1219.4}{24}[/tex]

[tex]\text{The amount deducted from Mrs. Keller's each paycheck}=\$50.80833\approx \$50.81[/tex]

Therefore, approximately $50.81 is deducted from Mrs. Keller's each paycheck.