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Dafna11 [192]
3 years ago
9

Eddie has saved up $45 to purchase a new camera from the local store. the sales tax in his county is 7% of the sticker price. wr

ite an equation and solve it to determine the value of the highest priced camera eddie can purchase with his $45, including the sales tax. round your answer to the nearest penny. (2 points
Mathematics
1 answer:
nikklg [1K]3 years ago
3 0
X + 0.07x = 45; x = $42.06

if x is the basic price we must add 7% to this.  As a fraction 7% is 7/100.  As a decimal number this is 0.07, so the total to be paid is x + 0.07x (which can also be written as 1.07x).  This must equal $45, so 1.07x = 45; divide both sides by 1.07 to get:

$42.06 to the nearest penny.

Hope this helps!

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Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit
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Question:

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

Select all that apply.

f(x)=log x

g(x)=|x-3|

(3.6,0.6)

(-2.6,0.4)

(-3.6,0.6)

(2.6,0.4)

(4.5,-1.5)

Answer:

Option A : (3.6,0.6) is the solution to the system of equations.

Option D: (2.6,0.4) is the solution to the system of equations.

Explanation:

The two equations are f(x)=log x and g(x)=|x-3|

To determine the solution of the system of equations using technology, let us plot the equations in the graphing calculator.

The solution of the system of equations is the intersection of the two lines.

Thus, from the graph, we can see that the two lines f(x) and g(x) intersect at the points (2.587,0.413) and (3.55,0.55)

Rounding off the solution to the nearest tenth, we get,

(2.6,0.4) and (3.6,0.6)

Thus, the solution to the system of equations is (2.6,0.4) and (3.6,0.6)

Hence, Option A and Option D are the correct answers.

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