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3 years ago

4x+3y=7-(4x+y=9) Subtract it

Mathematics

1 answer:

AlekseyPX3 years ago

6 0

Answer:

Step-by-step explanation:

I think it's invalid

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lisabon 2012 [21]

Answer:

690,000 thanks for asking

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3 years ago

The change from one number to the next in a geometric sequence is called

Tasya [4]

Answer:

C. Third option

Step-by-step explanation:

C is the correct answer, because the common ratio is a change from one number into the next in a geometric sequence.

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3 years ago

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a_sh-v [17]

It is A
It is a quadratic function or it called (parabola)

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3 years ago

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3 years ago

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You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu

krok68 [10]

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

$x+y=250,000.$

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then $x\cdot 0.012=0.012x$ is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then $y\cdot 0.062=0.062y$ is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

$0.012x+0.062y=8,000.$

3. Solve the system of equations:

$\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.$

Express x from first equation $x=250,000-y$ and substitute it into the second equation

$0.012(250,000-y)+0.062y=8,000.$

Multiply this equation by 1000:

$12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000$

Then

$x=250,000-100,000=150,000.$

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.

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2 years ago