Answer:
Step-by-step explanation:
the shape is a parallelogram => angle E = angle G & angle F= angle D;
=> 11x-2=132
11x=134
x=12,(18)degree
Answer:
<h2>3 (5) Superscript 6</h2>
Step-by-step explanation:
Given the expression 
In order to get the equivalent expression, first we must note the repetition of the value 5. Since the value of 5 is repeated 6 times during the multiplication, it can be written in indicinal form as shown;

in the equation means that 5 is being repeated 6 times.
The required answer is 3
Answer:
-15
Step-by-step explanation:
3x+5=BD
4x+20=AE
3x+5 = 4x+20
subtract 3x from 4x = 1x = x
subtract 20 from 5 = -15
-15=x
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
We are given the following information
Investment = $5200
Annual interest rate = 4.2% = 0.042
Final amount = $16,500
Number of years = 27.7 years
Number of compoudings = quartely = 4
The student uses the following model

The general formula for compound interest is given by

As you can see, the number of compoundings is incorrect (3 vs 4)
The interest rate is also incorrect.
Let us substitute the given values into the above formula

Therefore, the final amount is approximately $16,543.5