The total amount Ernest owes the bank after 9 months is $1,225.00
How many months of interest would be paid?
The fact the loan was taken for nine months means that the borrower, Ernest needs to pay interest for nine months, in other words, we would time-apportion the annual interest of 30% to determine the 9-month interest as shown below:
9-month interest rate=30%*9/12
9-month interest rate=22.50%
The amount Ernest is owing the bank is the principal borrowed plus the interest for 9 months as computed below:
total amount owed after 9 months=$1000*(1+22.50%)
total amount owed after 9 months=$1000*1.2250
total amount owed after 9 months=$1,225.00
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Answer:
The correct answer is D 46.3644
312 is the LCM for this set
rank | 1st | 2nd |TOTAL
------|-----+-------|----------
a | 6 + 9 | =15
b | 7 + 3 | =16
c | 9 + 7 | =23
d | 6 + 7 | =22
e | 8 + 1 | =?
If you add the 1st in line a (6) and you add it to the 1st in line b (7) + the 2nd in line b (3) you get 16. Repeat the same logic/pattern to all c,d..
This is the pattern to all this puzzle;
So the before last term is : 9+6+7 = 22
and the last term : 6+8+1 = 15
Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ
