Answer: A) $120,953
Step-by-step explanation:
The formula to calculate the compound amount (semi-annually):-
, where P is principal amount , r is rate of interest and n is the number of time periods.
Given : Principal amount : P= $90,000
Rate of interest : 6% per annum = 0.06 per annum
Time period : n= 5 years

Hence, the ABC will have $ 120,953 in the account after five years if interest is reinvested.
Explanation:
First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that

Note that both sine and cosine are negative because x is in the 3rd quadrant.
Recall the addition identities listed below:









Therefore, the expression reduces to



Answer :
4.25
Step-by-step explanation :
Hope it helped you :)

The Correct choices are :
<u>Question</u> 1 :
c. commutative property of multiplication
<u>Question</u> 2 :
d. commutative property of addition
<u>Question</u> 3 :
c.
, -0.4, 0.8,
, 