Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.
1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then
is annual interest income in Fund A.
Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then
is annual interest income in Fund B.
Since Fund A and Fund B produce an annual interest income of $8,000, then

3. Solve the system of equations:

Express x from first equation
and substitute it into the second equation

Multiply this equation by 1000:

Then

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.
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Answer: P(5A) = 0
Step-by-step explanation:
There are four aces in total in a 52 card deck. Therefore the probability of getting 5 aces can be expressed as;
P(5A) = 4/52 × 3/51 × 2/50 × 1/49 × 0/48 = 0
Therefore, it is impossible to get 5 aces from a standard 52 cards deck
Answer:
70.
Step-by-step explanation:
Let x be the required number.
We are asked to find the number whose 90% equals to 63.
We can represent our given information in an equation as:
Now, we need to solve for x.
Therefore, 90% of 70 is 63.