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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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Answer:

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5 0
3 years ago
5a - 24b =-15<br> 10a + 45c =21<br> 48b + 35c = 49
andrew-mc [135]

5a + 15 = 24b so,

10a + 30 = 48b,

sub to third equation,

10a + 30 + 35c = 49

10a + 35c = 19

perform elimination with second equation

10a + 45c = 21

10a + 35c = 19

________________-

10c = 2

c = 1/5

sub to second equation,

10a + (45)(1/5) = 21

10a + 9 = 21

10a = 12

a = 6/5

sub to first equation

(5)(6/5) - 24b = -15

6 + 15 = 24b

21 = 24b

b = 7/8

redo the calculations, correct me if I'm wrong

6 0
2 years ago
Justice needs 24 feet of fencing to surround his garden. The fencing is priced at $0.25 per inch. How much will it cost Justice
aleksandrvk [35]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
Evaluate |x - 13| when x=5.
bixtya [17]

Answer:

8

Step-by-step explanation:

|x - 13|

Let x =5

|5 - 13|

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8

4 0
2 years ago
Read 2 more answers
In ∆ABC, which ratio equals cos C? A. B. C. D.
Bond [772]

SOH CAH TOA

CAH

Cosine = Adjacent / Hypotenuse

∆ABC, where lets say B is the right angle.

cos C = adjacent/hypotenuse = BC/AC

╦────────────────────────────╦

│Hope this helped  _____________________│      

│~Xxxtentaction _______________________│

╩__________________________________╩          

5 0
3 years ago
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