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2 years ago

14

you invest $500 for equipment to make dog backpacks. each backpack costs you $15 for materials. you sell each backpack for $15 w

hen will you break even write an equation

1 answer:

densk [106]2 years ago

5 0

15*x=500. X is amount of backpacks needed to be sold.

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The fish population of Lake Collins is decreasing at a rate of 3% per year. In 2004 there were about 1,300 fish. Write an expone

Sergeu [11.5K]

For this case we have a function of the form:
$y = A * (b) ^ x
$ Where,
A: initial amount
b: decrease rate
x: time in years
Substituting values we have:
$y = 1300 * (0.97) ^ x
$
For 2010 we have:
$y = 1300 * (0.97) ^ 6

y = 1083$
Answer:
an exponential decay function to model this situation is:
y = 1300 * (0.97) ^ x
The population in 2010 is:
y = 1083

6 0

2 years ago

Read 2 more answers

In the parallelogram AXYZ, line segment AT = 4y – 2, line segment TY = 6x -12, line segment TX = 14, line segment ZT = 2x + 12.

Tpy6a [65]

In a parallelogram diagonals bisect each other,
=>AT=TX=>4y-2=14=>4y=14+2=>4y =16=>y=16/4=4
And ZT=TY=>2x+12=6x-12
=>12+12=6x-2x
=>24=4x
=>24/4=X
=>6=X
Hope this helps u...!!!

8 0

2 years ago

An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As

lozanna [386]

Answer:

Can u separate it?

Step-by-step explanation:

5 0

2 years ago

A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the

andriy [413]

Check the picture below.

$\bf A=\cfrac{h(a+b)}{2}\quad 
\begin{cases}
A=20\\
a=6z-1\\
b=2z+3\\
h=z
\end{cases}\implies 20=\cfrac{z[(6z-1)~+~(2z+3)]}{2}
\\\\\\
20=\cfrac{z(8z+2)}{2}\implies 20=\cfrac{2z(4z+1)}{2}\implies 20=z(4z+1)
\\\\\\
20=4z^2+z\implies 0=4z^2+z-20$

$\bf \qquad \qquad \textit{quadratic formula}\\\\
\begin{array}{llccll}
0=&{{ 4}}z^2&{{ +1}}x&{{ -20}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
z= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}
\\\\\\
z=\cfrac{-1\pm\sqrt{1+320}}{8}\implies z=\cfrac{-1\pm\sqrt{321}}{8}\implies z\approx 
\begin{cases}
\boxed{2.1146}\\
-2.3646
\end{cases}$

since the height is just a length unit, it can't be -2.3646.

4 0

2 years ago

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Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian

aev [14]

Answer: The answer is 11 (A)

Step-by-step explanation:

3 0

2 years ago

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