Brad puts an equal amount of money in his savings account once a month. he started with $27. the next month, he had $44 in his account. two months after that, he had $78 in his account. how much money will brad have in his account after 6 months?

$112

Step-by-step explanation:

Brad puts an equal amount of money in his savings account once a month. He started with $27.

The next month, he had $44 in his account. The difference between these amounts are $17.

Two months after that, he had $78 in his account. The difference between these amounts are $34.

This can be observed that, each month the amount gets increases by a multiple of 17. So the function that can represent this scenario is,

where,

is the amount of money in the account and n is the month.

Putting , we get

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

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