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katen-ka-za [31]
3 years ago
15

Two life insurance companies determine their premiums using different formulas:

Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

<em>The age at which both companies charge the same premium is 44 years</em>

Step-by-step explanation:

<u>Graph Solution to System of Equations</u>

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

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denis-greek [22]
The radius of the circle would be 10.19 I hope this helped!! :)

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3 years ago
There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give s
forsale [732]

The probability of choosing Joey first is  1/12 .

If that happens, the probability of choosing Chloe next is  1/11 .

Then, the probability of choosing Zoe after that is  1/10 .

The probability of all these things happening is

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A graph of the whole numbers is drawn on the number line. Which of the following points is not included on the graph? A. -1) B.
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The answer to the question is c
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3 years ago
Prior to September, 2000, taxi fares from Washington DC to Maryland were described as follows: $2.00 up to and including 1⁄2 mil
GREYUIT [131]

The piecewise function is

f(x) = 2, 0 < x ≤ 1/2

f(x) = 2 + 0.7x, x > 1/2

<h3>How to determine the piecewise function?</h3>

From the question, we have:

Fares = $2.00 ⇒ up to (and including) 1/2 miles

Fares = $0.70 increment ⇒ greater than 1/2 miles

Let x represent the number of miles, and f(x) the fares.

So, we have:

f(x) = 2, 0 < x ≤ 1/2

f(x) = 2 + 0.7x, x > 1/2

The above represents the piecewise function

Read more about piecewise function at:

brainly.com/question/18859540

#SPJ1

3 0
2 years ago
Find the slope of the line passing through the points and .
sergejj [24]

Answer:

slope = - \frac{7}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

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with (x₁, y₁ ) = (3, 4 ) and (x₂, y₂ ) = (8, - 3 )

m = \frac{-3-4}{8-3} = \frac{-7}{5} = - \frac{7}{5}

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2 years ago
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