<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;

Substituting the values, we get;




Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE = 
Length of EC = 
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;



Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;


Thus, the length of DB is 46.
Compound Interest
A = P(1 + r)^(n)
A = Amount, r = rate per year = 3.9% = 3.9/100 = 0.039, n = year = 3
A = P(1 + r)^(n)
A = 11000(1 + 0.039)^(3)
A = 11000(1.039)^(3) use calculator
A ≈ 12337.85
Compound Interest = A - P = 12337.85 - 11000 = 1337.85
So at the end of 3 years the Amount is ≈ £12 337.85 and the compound interest is ≈ £1 337.85
Hope this helps.
Answer:
pretty sure its B
Step-by-step explanation: