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3 years ago

A new pair of sneakers costs $70 now. What is the cost of the shoes 5 years from now if the price increases 8% per year?

Mathematics

2 answers:

Ilya [14]3 years ago

8 0

D. 109$ if it increases 8% a year

lesantik [10]3 years ago

7 0

Answer:

Option A. $103.

Step-by-step explanation:

A new pair of sneakers cost $70 now.

The cost of the shoes after 5 years if the price increases 8% per year.

We will solve it by this formula

$A=P(1+\frac{r}{n})^{nt}$

Where A = final amount after t years

r = rate of increase

n = compounded in a year

t = time in years

$A=70(1+\frac{0.08}{1})^{(1)(5)}$

$A=70(1+0.08)^{5}$

A = 70(1.08)⁵

A = 70 × 1.46932808

A = 102.8529 ≈ $103

Option A $103 is the answer.

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Olegator [25]

Answer:

Step-by-step explanation:

We have the triangle and the rectangle.

The formula of an area of a triangle:

$A_{\triangle}=\dfrac{1}{2}bh$

b - base

h - height

The formula of an area of a rectangle:

$A_{\boxed{\ }}=lw$

l - length

w - width

We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.

Substitute:

$A_\triangle=\dfrac{1}{2}(24)(7)=(12)(7)=84\ ft^2$

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The area of the figure:

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Substitute:

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2 years ago

A ramp slopes from a warehouse door down to the street. The height of the ramp is 5 feet, and the ramp ends 10 feet from the bas

Tomtit [17]

If you graph this, your first point will be at (0,5), as the ramp is at the warehouse door but 5 feet up. The second point is (10,0) as it is touching the ground but it's 10 feet away from the warehouse.
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When substituting in the variables, you get (0-5)/(10-0), which is -5/10, which is simplified to -1/2. Of course, that is when the warehouse is Quadrant II. If you look at it from another point of view, the slope will be positive so your answer is A) 1/2.
If this was unclear feel free to comment :)

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motikmotik

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eimsori [14]

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Step-by-step explanation:

Right Angle= 90 degrees

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2 years ago

What is the exact solution to the equation 4^5x=3^(x-2)<br> list the steps to get the answer

scoray [572]

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Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

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Then we can apply Ln(.) to both sides of the equation to get:

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(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

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2 years ago