5x - 2 = 13
5x = 13 + 2
5x = 15 (divide both sides by 5 to get x)
5x/5 = 15/5
x = 3
The balance in Yolanda's saving plan after 14 years is; $9,455.36
<h3>How to calculate future value?</h3>
We want to find the balance in Yolanda's saving plan after 14 years.
For Yolanda;
PV = 0
PMT = 250
i% = 4%/12 = 0.33%
N = 14 yrs * 12 = 168
FV = ?
For Zach:
PV = 0
PMT = $3300
i% = 4%
N = 14 yrs
FV = ?
From online future value calculator, we have;
Yolanda FV = $9,455.36
Zach FV = $47,204.19
Read more about Future Value at; brainly.com/question/24703884
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the total area of sections 1 and 2 is 48 square units !
<u>Step-by-step explanation:</u>
Here we have , The triangle and the rectangle have the same base, b, and height, h. If the area of the triangle is 48 square units,We need to find what is the total area of sections 1 and 2 . Let's find out:
According to question , we have a triangle with same base and height as of rectangle inside a rectangle ! Following are the parameters of rectangle:
but , Area of rectangle = 
. Also , Area of triangle :
⇒ 
⇒ 
So , Area of rectangle = . Total area of section 1 & 2 is given by :
⇒ 
⇒ 
Therefore , the total area of sections 1 and 2 is 48 square units !
Immediate math help from PAID TUTORS. (paid link)Click here to see ALL problems on Triangles
Question 118094: Find the length x in the triangle. Side 1=8. Side 2=x. Side 3=12 (Scroll Down for Answer!)Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!Check it Out!OR get immediate PAID help on:
Type Your Question Go!!! Answer by jim_thompson5910(34119) About Me (Show Source):You can put this solution on YOUR website!I'm assuming that the triangle is a right triangle and that side 3 is the hypotenuse.
We basically have this triangle set up:
Since we can see that the triangle has legs of 8 and x with a hypotenuse of 12, we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem:
a%5E2%2Bb%5E2=c%5E2 where a and b are the legs of the triangle and c is the hypotenuse
8%5E2%2Bx%5E2=12%5E2 Plug in a=8, b=x, and c=12. Now lets solve for x
6+4+%2B++x++%5E+2+=+1+4+4 Square each individual term
+x++%5E+2+=+1+4+4+-+6+4 Subtract 64 from both sides
+x++%5E+2+=+8+0 Combine like terms
s+q+r+t+%28++x++%5E+2+%29+=+s+q+r+t+%28+8+0+%29 Take the square root of both sides
x=4%2Asqrt%285%29 Simplify the square root
Which approximates to... x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6
So our answer is x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6....
