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stiks02 [169]
2 years ago
13

The monthly cost of a short term disability insurance policy varies directly as the salary of the employee. Wanda has an annual

salary of $38,500, and the monthly cost for her policy is $11.55. Randy has an annual salary of $49,500. What should Randy expect to pay for his policy?
Mathematics
1 answer:
arlik [135]2 years ago
8 0

Answer: $14.85

Step-by-step explanation:

Ww can solve the question using direct proportion with the formula y = kx

where y = annual salary

x = monthly policy cost.

k = constant of proportionality

Since y = kx

38500 = 11.55k

k = 38500 / 11.55

k = $3333.33

When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:

y = kx

49500 = 3333.33x

x = 49500 / 3333.33

x = 14.85

The amount that Randy expect to pay for his policy will be $14.85

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\frac{7}{5}  \times  \frac{5}{12}  -  \frac{3}{12}  \times  \frac{7}{5}  -  \frac{1}{15}  =  \frac{7}{5} ( \frac{5}{12}   -  \frac{3}{12} ) -  \frac{1}{15}  =  \frac{7}{5}  \times  \frac{1}{6}  -  \frac{1}{15}  =  \frac{7}{30}  -  \frac{2}{30}  =  \frac{5}{30}  =  \frac{1}{6}

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