The membership fee at a sports club was $600 per year. Each year, the membership fee increased by 7%. The cost of membership, y, can be modeled by the equation y=600(1.07)^x, where x is the number of years. How many years will it take for the cost of the membership to be $900?

Choose the answer that gives the correct logarithmic equation and answer.

x=log1.5(1.07)

x=6

x=log1.07(1.5)

x=6

x=log(1.51.07)

x=1

x=log(1.071.5)

x=1

The membership fee at a sports club was $600 per year. Each year, the membership fee increased by 7%. The cost of membership, y, can be modeled by the equation y=600(1.07)^x, where x is the number of years.

How many years will it take for the cost of the membership to be $900?

Choose the answer that gives the correct logarithmic equation and answer.

x=log1.5(1.07)

x=6

x=log1.07(1.5)

x=6

x=log(1.51.07)

x=1

x=log(1.071.5)

x=1

ans 600( 1.07)2=y

x = log1.5/log1.07

x = 6

Step-by-step explanation:

900 = 600(1.07)^x

Divide both sides by 600

1.5 = 1.07^x

Take the log of both sides

log1.5 = x log1.07

Divide both sides by log1.07

log1.5/log1.07 = x

x = log1.5/log1.07

use calculator

x = 6

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.