The inequality _______________ represents the number of boxes of lightbulbs that Cecil started with.
1 answer:
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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.
The double angle formula for the sine is
The right hand side is exactly your expression, where
So, rewriting the expression from right to left, we have
Look at the picture.
1)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
2)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
1)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
2)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|