6 years

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:

Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8

Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:

To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x

x = 6 years to the nearest year

8 0

3 years ago

Enter the correct answer in the box.<br> Simplify the expression

kicyunya [14]

It is 6 to the 8th power (8 is in the box)

8 0

3 years ago

Solve 4y-1=7 plz step by step

miv72 [106K]

Hi,

Here we are going to be working on isolating the variable y, and seeing what its value equates to.

To do this, we must try and get the variable y on one side of the equation by itself.

Let's look at step one -

<em>4y - 1 = 7
</em>
We want to get rid of the 1 since we need to isolate x. We do this by doing the inverse of its operation. Since 1 is negative, if we add positive 1 to it - we will get 0, thereby being closer to isolating y.

However, when we do something on one side of the equation we must do it on the other. This means we will add 1 on both sides.

<em>4y - 1 + 1 = 7 + 1
</em>
<em>4y = 8
</em>
<em />Remember how I mentioned we do the inverse of the operation? In this case, 4 is multiplying y. The inverse operation of multiplication is division. So, to get rid of the 4 - we must divide 4y by 4, on both sides.

<em>4y / 4 = 8 / 4
</em>
<em>y = 2
</em>
We now know the variable y is equal to 2.

Hopefully, this helps.

3 0

4 years ago

Read 2 more answers

-17+ 1/4 x + 1/4 x + 31 = 24

wlad13 [49]

<h2><u>Answer:</u></h2><h2><u></u> $\boxed{x=20}$ <u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine like terms:</h3>

$\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x$

<em> - We do this because we need 1 Number/Variable left over. </em>

<u>Equation at the end of Step 1:</u>

<u /> $-17+\frac{1}{2}x+31=24$ <u />

<em />

$-17+31=14$

<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>

<u>Equation at the end of Step 2:</u>