Check the picture below.
now, the midsegment of a triangle, besides being half the base, we have to bear in mind that is a "mid" segment, is a segment that lies half-way along the segments it touches.
so for the triangle above, well, the midsegment DE is cutting the segment BC it two equal halves, BE and EC, that means that
.
Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :

Mathematical expression of guitar lesson :

( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
Hence, this is the required solution.
Answer:
<h3>$90 interest will Ryan receive for this bond every 6 months.</h3>
Step-by-step explanation:
We are given that Ryan has total bond of amount $3000.
Rate of interest = 6% per annul.
Time = 6 month =
of a year.
Formula of simple interest =
, where P is the bond amount, R is the rate of interest per year and T is the time in years.
Plugging values P= 3000, R= 6% = 0.06 and T=
in above formula, we get
I = 30000×0.06 ×
I= 90.
<h3>Therefore, $90 interest will Ryan receive for this bond every 6 months.</h3>