Answer:
- 3/4
- 4/13
- 7/26
- 2/13
- 5.52
Step-by-step explanation:
<u>(a)</u>
- Probability (A heart or a black card) = 13 + 26 / 52
- Probability (A heart or a black card) = 39/52
- Probability (A heart or a black card) = 3/4
<u>(b)</u>
- Probability (A heart or a jack) = 13 + 3 / 52
- Probability (A heart or a jack) = 16/52
- Probability (A heart or a jack) = 4/13
<u>(c)</u>
- Probability (A heart and the ace of clubs) = 13 + 1 / 52
- Probability (A heart and the ace of clubs) = 14/52
- Probability (A heart and the ace of clubs) = 7/26
<u>(d)</u>
- Probability (A 9 or a jack) = 4 + 4 / 52
- Probability (A 9 or a jack) = 8/52
- Probability (A 9 or a jack) = 2/13
<u>(e)</u>
- Probability (The 9 of hearts or a jack) = 1 + 4 / 52
- Probability (The 9 of hearts or a jack) = 5/52
So in 6 months (1/2yr) you earned $15.75 interest, if we double that we find the total interest you would gain for that year, 15.75x2= $31.5 total interest for that year.
To find the annual rate divide the interest gained by the amount deposited, 31.5/500 = 0.063% p.a.
Answer:
Step-by-step explanation:
Let 
be an acute angle.
To solve: 
, we take the sine inverse of both sides to obtain:
Recall composition property of a function and its inverse function.
We apply this property to the left hand side to obtain;
We now use our scientific calculator to obtain;
We round to the nearest tenth to obtain;
Answer:
dang nice
Step-by-step explanation:
It looks like selections A and C are identical. (Neither is equivalent to 9^x.)
If B is supposed to be 3^(2x), it is equivalent to F and D and to the given expression.
Of course, D evaluates to 9^x, so is equivalent.
Choice E evaluates to 3^(x+2), which is not equivalent to 3^(2x).
The applicable choices appear to be
... B. 3^(2x)
... D. (3*3)^x
... F. (3^x)*(3^x)
