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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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A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w
Elanso [62]

Answer:

The regular size is more economical.

Step-by-step explanation:

Consider the provided information.

A regular tube of toothpaste costs $2.50 for 3.2 ounces.

Find out the unit rate as shown below:

\frac{\$2.50}{3.2}=\$0.78

Therefore, the cost of one ounce is $0.78.

A travel size tube costs $1.00 for 1.2 ounces.

Find out the unit rate as shown below:

\frac{\$1}{1.2}=\$0.833

Therefore, the cost of one ounce is $0.833.

From the above calculation we can observe that regular tube toothpaste price is better buy.

Now find the percent as shown:

Firs find the difference

$0.83-$0.78 = $0.05

Therefore,

\frac{0.05}{0.78}\times 100\approx 6.41

Hence, regular tube is 6.41% less costly as compare to travel size.

3 0
2 years ago
Does anyone know the last two? Match the correct property to the equation showing that property.
sergij07 [2.7K]

Explanation: The 4th one is the distributive property because it shows an     equal sign and the 5th one is the inverse property of addition because it uses more than addition.

Answer: 4th one is distributive property 5th one is inverse property of addition

P.S. I am sure 95% sure that I am correct.

8 0
1 year ago
What is the coordinates of {2, 1} and {2, 4}?
blondinia [14]
Xm=(2+2)/2=2 Ym=(1+4)/2=2.5 (2,2.5)
7 0
3 years ago
How do i rewrite this in function form ?
Tema [17]
So now its-x + y = 6 

but you want it in y=mx+b so 

add x to both sides so that you have y on its own 
so now it's y = 6+x


4 0
2 years ago
In FGH,FH =7 ft,FG=12 ft and m
nikdorinn [45]

Answer:1) In Δ FGH,

FH=7 ft, FG=12 ft,

∠F=70 degrees

By "Law of cosines":

So,By applying Law of Sines , we get that

Hence, Option 'D' is correct.

2) In Δ XYZ,

XY=14, ∠Y=22°, and XZ=26

By using "Law of sines":

so, X = 147° , Y = 22° , Z = 11.6°

Step-by-step explanation:

5 0
1 year ago
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