Answer:
Either
(approximately
) or
(approximately
.)
Step-by-step explanation:
Let
denote the first term of this geometric series, and let
denote the common ratio of this geometric series.
The first five terms of this series would be:
First equation:
.
Second equation:
.
Rewrite and simplify the first equation.
.
Therefore, the first equation becomes:
..
Similarly, rewrite and simplify the second equation:
.
Therefore, the second equation becomes:
.
Take the quotient between these two equations:
.
Simplify and solve for
:
.
.
Either
or
.
Assume that
. Substitute back to either of the two original equations to show that
.
Calculate the sum of the first five terms:
.
Similarly, assume that
. Substitute back to either of the two original equations to show that
.
Calculate the sum of the first five terms:
.
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
The answer is d because the perimeter of 6 by 6 would be 24 and that is the smallest perimeter.
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!