Answer:
6 5/12
Step-by-step explanation:
2 2/3 as a mixed number is 8/3
3 3/4 as a mixed number is 15/4
To make the 2 fractions have a common denominator, they become:
32/12 and 45/12
to add them up it will be: 77/12 which can be written as 6 5/12
Answer:
The money she will end up earning in interest on the cd = $11,352.90
Step-by-step explanation:
The formula for getting the accumulated amount(compounded) is;

Where
A = Accumulated amount
P = principle (deposit)
r = interest rate and
n = no of times interest applied per time period.
The interest is compounded quarterly so in one year it will be 4 times
In 5 years
n = (5×4)-3 = 17 (as she will withdraw 3 month before the completion of five years)
A =
^17
= 7100( 1 + 0.028)^17
= 7100(1.028)^17
= 7100 * 1.599
= 11,352.90
Therefore the money she will end up earning in interest on the cd = $11,352.90
Part (i)
I'm going to use the notation T(n) instead of 
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
<h3>Answers: -1, -4</h3>
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Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
<h3>Answer: 21st term</h3>
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Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
<h3>Answer: 8</h3>