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Gre4nikov [31]
3 years ago
12

Ruben worked in a union motorcycle factory for 20 years before returning to school to become a paramedic instead. He is 45 now.

He has a pension from his previous employer, which would pay him $1500/month after his retirement at 65. Assuming he will live to 80 (which is slightly higher than the life expectancy for an American man) he would earn $270000 over 15 years. The company has stopped offering pensions and wants to buy out his pension today. Should Ruben accept a buyout offer of $125,000? Assume that he could invest the money at an interest rate of 3% with a monthly compounding.
Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

Ruben needs a new job

Step-by-step explanation:

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A store sells grass seed in small bags and large bags. The small bags have 7 pounds of seed for $27.93 and the large bags have 2
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Answer:

The 20 pound bag is a better by for only $66.98

Step-by-step explanation:

The large bag is better because the small bag is $27.93 for 7 pounds 7x3=21,so 3x27.93=83.79 is $16.81 more than the cost for the large bag

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A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

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3 years ago
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Jlenok [28]

Answer:

A. 81

Step-by-step explanation:

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