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sveta [45]
3 years ago
12

A student purchases a car for $12,500. The car loses its value at a rate of 20% per year. After how many years will the car's va

lue fall below $5,000?
Mathematics
1 answer:
lora16 [44]3 years ago
8 0
After 5 years it will fall below $5000.
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Which of the following is a perfect square? A)154 B)169 C)279 D)115
morpeh [17]
A) 154 because it's an even number
7 0
3 years ago
Read 2 more answers
∆ABC is translated 6 units up and 3 units left to create ∆A'B'
guajiro [1.7K]

Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.


So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.


Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.


So, to recap, this transformation maps (x,y) \to (x-3, y+6)


This means that the two points become


A = (-1, 2) \implies A' ( -4,8),\qquad B = (1,5) \implies B' = (-2,11)

6 0
4 years ago
if the volume of an open box with a square base is 5 cubic feet, write the surface area, S, of the box as a function of x, the l
AleksandrR [38]
Check the picture below.

the box is an open box, meaning the top is open, so that is not taking up area, so is not part of the surface area.

so can just get the area of the bottom, and the sides and sum them up, keeping in mind that the bottom is just an area of x² and the sides are just 4 rectangles of area h*x.

\bf SA=\stackrel{\textit{bottom}}{(x\cdot x)}~~+~~\stackrel{\textit{4 lateral sides}}{4(hx)}\implies 
SA=\stackrel{\textit{bottom}}{x^2}~~+~~\stackrel{\textit{4 lateral sides}}{4\left(\cfrac{5}{x^2}\cdot x  \right)}
\\\\\\
SA=x^2~~+~~4\cdot \cfrac{5}{x}\implies SA=x^2+\cfrac{20}{x}

8 0
3 years ago
Given that angle one is congruent to angle to how do you prove that P is parallel to Q
Sonbull [250]

Answer:

assemble the proof by dragging tiles to the statements and reasons columns.

angles: ~= , <1 , <2 , <3,

lines: | | , p , q ,

statements: <1 and <3 are vertical reasons: given , transitive property , vertical angles theorem , def. of vertical

Step-by-step explanation:

3 0
3 years ago
Find the equation of the line that passes through the two points (5,-3) and (-5,2). Write your answer in standard form. Help me
lidiya [134]

Answer:

x + 2y = -1

Step-by-step explanation:

First, we'll find the slope.

Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2

Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:

y - 2 = -1/2(x - (-5))      *I used (-5, 2) but it doesn't matter which point you use

y = -1/2(x + 5) + 2

y = -1/2x - 1/2

Standard form:

1/2x + y = -1/2

x + 2y = -1

8 0
3 years ago
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