Answer:
x = 10
Step-by-step explanation:
2x/3 + 1 = 7x/15 + 3
<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>
2x + 3 = 21x/15 + 9
<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>
30x+ 45 = 21x + 135
<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>
9x = 90
<em><u>(divide 90 by 9)</u></em>
x = 10
<h2>
Another solution:</h2>
2x/3 + 1 = 7x/15 + 3
<u><em>(find the LCM of 3 and 15 = 15)</em></u>
<u><em>(multiply everything in the equation by 15, then simplify)</em></u>
10x + 15 = 7x + 45
<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>
3x = 30
<em><u>(divide 30 by 3)</u></em>
x = 10
For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial gain
b: growth rate
t: time
Substituting values we have:
y = 46000 * (1.10) ^ t
For the year 7 we have:
y = 46000 * (1.10) ^ 7
y = 89640.9866
Answer:
her total earning at the end of 7 years are:
y = 89640.9866 $
You did not ask a question
I will solve for the length and the area and the perimiter
if the width is 5ft and the length is 5 times as long as it is wide then
W=5 and L=5W
subsitute 5 for W
L=5(5)
L=25
length=25ft
the perimeter=2(L+W)=2(25+5)=2(30)=60ft
the area=LW=(5ft)(25ft)=125ft²
The reactangle has an area of x.
So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.
So that means the side lengths are <u />a and b. And ab = x (will be using this right next).
And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:




y can not equal to -3, because the length of a side of any polygon can never be negative.
So the dilation is 3.And so if the dimension is 5 by 8.
Then the area is

And so then

And then after the dilation, it would be

We could check it another way too. Since we said the scale factor is 3, then:

So
basically
15 by 24 is the new dimensions :)