Answer:
<u>Let's verify is the corresponding sides have same ratio:</u>
- ΔABC, sides: 6, 9, 11
- ΔXYZ, sides: 21, 31.5, 38.5
<u>Ratios:</u>
- 6/21 = 2/7 (divide by 3)
- 9/31.5 = 2/ 7 (divide by 4.5)
- 11/38.5 = 2/7 (divide by 5.5)
The ratios are same, so the triangles <u>are similar</u>
- Yes, the sides are all proportional
The scale factor (ΔABC to ΔXYZ) is <u>2/7</u> (or ΔXYZ to ΔABC is 7/2 = <u>3.5</u>)
25% off means you are only paying 75% of the cost.
0.75(1100) = $825
The principal to be deposited is $ 11874.6594
<em><u>Solution:</u></em>
Given is a simple interest problem
Principal = ?
Simple Interest = $ 2179
Number of years = 60 months =
<em><u>The simple interest is given by formula:</u></em>
Where, "p" is the principal and "r" is the rate of interest and "n" is the number of years
Thus the principal to be deposited is $ 11874.6594