Ask question

Ask question

All categories

3 years ago

6

A small company had a loss of $425 in January. If it continues to have the same loss each month for 4 months, what will be the c

ompany’s total loss after 4 months? Show work.

1 answer:

Tresset [83]3 years ago

3 0

425(4)= 1700. After 4 months they would have lost $1700

You might be interested in

A dartboard consists of a circle inscribed in a square. The area of the circle is 16π square centimeters. The area of the square

lapo4ka [179]

The solution would be like this for this specific problem:

Area of Circle = 16(π)

= 16 * 3.14

= 50.24

Area of Square = 64

= 64 – 50.24

= 13.76

Area of Square but not on the circular board = 13.76 / 64

= 0.215

Percentage value = 0.215 * 100%

= 21.5%

So, <span>to the nearest percent, the probability that the dart lands inside the square but not on the circular dartboard is 21.5%.</span>

4 0

3 years ago

Read 2 more answers

Consider the implicit differential equation <img src="https://tex.z-dn.net/?f=%2849%20y%5E%7B3%7D%20%2B%2045%20xy%29%20dx%20%2B%

BaLLatris [955]

We're looking for an integrating factor $\mu(x,y)=x^py^q$ such that

$\mu\underbrace{(49y^3+45xy)}_M\,\mathrm dx+\mu\underbrace{(98xy^2+50x^2)}_N\,\mathrm dy=0$

is exact, which would require that

$(\mu M)_y=(\mu N)_x$
$(49x^py^{q+3}+45x^{p+1}y^{q+1})_y=(98x^{p+1}y^{q+2}+50x^{p+2}y^q)_x$
$49(q+3)x^py^{q+2}+45(q+1)x^{p+1}y^q=98(p+1)x^py^{q+2}+50(p+2)x^{p+1}y^q$
$\implies\begin{cases}49(q+3)=98(p+1)\\45(q+1)=50(p+2)\end{cases}\implies p=\dfrac52,q=4$

You can verify that $(\mu M)_y=(\mu N)_x$ if you'd like. With the ODE now exact, we have a solution $F(x,y)=C$ such that

$F_x=\mu M$
$F=\displaystyle\int(49y^3+45xy)x^{5/2}y^4\,\mathrm dx$
$F=10x^{9/2}y^5+14x^{7/2}y^7+f(y)$

$F_y=\mu N$
$50x^{9/2}y^4+98x^{7/2}y^6+f'(y)=98x^{7/2}y^2+50x^{9/2}y^4$
$f'(y)=0$
$\implies f(y)=C$

and so the general solution is

$F(x,y)=10x^{9/2}y^5+14x^{7/2}y^7=C$

8 0

2 years ago

Turn 92.004 mixed number reduced to the lowest term

sineoko [7]

we can turn any decimal number to a fraction by <u>using as many zeros at the bottom as there are decimals and losing the dot atop</u>, so let's see, we have 3 decimals in this case, so we'll use 3 zeros at the bottom.

$\bf \underset{\textit{three decimals}}{92.\underline{004}}\implies \cfrac{92004}{\underset{\textit{three zeros}}{1\underline{000}}}\implies \stackrel{simplified}{\cfrac{25001}{250}}\implies 92\frac{1}{250}$

recall that to turn an improper fraction to mixed, we divide numerator by denominator, and the quotient is the number alone and the numerator is the remainder of the division.

7 0

3 years ago

A bag contains 6 red tiles and 5 yellow tiles. Another bag contains 8 red tiles and 2 yellow tiles. A token is removed from each

RSB [31]

Answer:

The probability is most likely to occur

Step-by-step explanation:

4 0

3 years ago

She found that the area of the garden will be 127 1/2 square feet by using the equation Area=bh. I'd the height, h, of the paral

baherus [9]

To solve this problem yo must apply the proccedure shown below:

1. You must use the formula applied to calculate the area of the garden.

$A=bh$

2. You know the value of the area ( $127^{\frac{1}{2}}ft^{2}=127.5ft^{2}$ and the value of the heigth ( $8^{\frac{1}{2}}ft=8.5ft$ , therefore, you only need to solve for the base:

$b=\frac{A}{h}\\b=\frac{127.5ft}{8.5ft}\\b=15ft$

The answer is: 15 feet.

3 0

2 years ago