All categories

2 years ago

Can someone please help me??

Mathematics

1 answer:

Nesterboy [21]2 years ago

7 0

Answer:

Answers are below

Step-by-step explanation:

x y

0 $25,001.00

1 $25,000.95

2 $25,000.90

3 $25,000.86

I graphed the function on the graph below and found the values of y for each value of x.

*My graph showed that the initial value of the printer was $25,001.00, instead of $25,000.00*

You might be interested in

In a G.P the difference between the 1st and 5th term is 150, and the difference between the

liubo4ka [24]

Answer:

Either $\displaystyle \frac{-1522}{\sqrt{41}}$ (approximately $-238$ ) or $\displaystyle \frac{1522}{\sqrt{41}}$ (approximately $238$ .)

Step-by-step explanation:

Let $a$ denote the first term of this geometric series, and let $r$ denote the common ratio of this geometric series.

The first five terms of this series would be:

$a$ ,
$a\cdot r$ ,
$a \cdot r^2$ ,
$a \cdot r^3$ ,
$a \cdot r^4$ .

First equation:

$a\, r^4 - a = 150$ .

Second equation:

$a\, r^3 - a\, r = 48$ .

Rewrite and simplify the first equation.

$\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}$ .

Therefore, the first equation becomes:

$a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150$ ..

Similarly, rewrite and simplify the second equation:

$\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}$ .

Therefore, the second equation becomes:

$a\, r\, \left(r^2 - 1\right) = 48$ .

Take the quotient between these two equations:

$\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}$ .

Simplify and solve for $r$ :

$\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}$ .

$8\, r^2 - 25\, r + 8 = 0$ .

Either $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ or $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ .

Assume that $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}$ .

Similarly, assume that $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}$ .

4 0

2 years ago

En una tienda se anuncia la rebaja de 20% en todos sus artículos . Rafael elije una camisa y al llegar a la caja le informan que

dimulka [17.4K]

Responder:

$ 750

Explicación paso a paso:

Dado que :

Descuento en todos los artículos = 20%

Descuento adicional dado = 15%

Monto final pagado por la camisa = $ 510

Precio de la camiseta sin descuento:

Sea el precio inicial de la camisa = x

Primer descuento obtenido = 20%

Precio pagado después de un descuento adicional del 15%

Primer descuento:

(1 - 0,20) * x = 0,8x

Segundo descuento:

(1 - 0,15) * 0,8x = 510

0,85 * 0,8x = 510

0,68x = 510

x = 510 / 0,68

x = $ 750

7 0

2 years ago

Please help no links or u will get reported please help im trying my best

alekssr [168]

The answer is d because the perimeter of 6 by 6 would be 24 and that is the smallest perimeter.

3 0

3 years ago

Write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form

Vinvika [58]

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is <u>y=-2x+7</u>

Hope this helps!

8 0

2 years ago

What quantity should be added to both sides of this equation to complete the square x^2+12x=-15

anzhelika [568]

Answer:

Step-by-step explanation:

5 0

3 years ago