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
Answer:
C
Step-by-step explanation:
There is a common ratio between consecutive term in the sequence, that is
÷
= 3 ÷
= 30 ÷ 3 = 300 ÷ 30 = 10
This indicates the sequence is geometric with n th term
= a
where a is the first term and r the common ratio
Here a =
and r = 10 , thus
=

=
× 
= 3 ×
× 
= 3 × 
Thus
= 3
→ C
<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
Answer:
I think that the measure of side BC is 2
Step-by-step explanation:
Answer:
x = 5/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
12x - 30 = 2x - 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 2x on both sides: 10x - 30 = -5
- Add 30 to both sides: 10x = 25
- Divide 10 on both sides: x = 5/2