Answer:
1/10
Step-by-step explanation:
There are two numbers less than 3 (1 and 2), and one number greater than 4 (5).
When the first slip is drawn, there are five slips in the hat, so the probability of a number less than 3 is 2/5.
When the second slip is drawn, there are four slips in the hat, so the probability of a number greater than 4 is 1/4.
Therefore, the total probability is (2/5) (1/4) = 1/10
Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
Answer:
<em>∠TUV = 56°</em>
Step-by-step explanation:
<em>∠TUV = 1/2 ∠TWV</em>
<em>∠TUV = 112° ÷ 2 = 56°</em>
To divide 36/9 using the number line you have to jump from zero with length of 9 until reach 36, and the result will be the number of jumps.
I do the jumps by steps, but you can draw in the number line:
0. First jump from 0 to 9.
,
1. Second jump from 9 to 9+9=18.
,
2. Third jump from 18 to 18+9=27.
,
3. Fourth jump from 27 to 27+9=36.
,
4. Great!! We already reach 36.
So, we need four jumps of 9 to reach 36 from 0.
So, the result is 36/9=4