Need help with number 5.

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

4 0

So youve done good so far.
So picking up from : (x^2-x-12)-2(x-4)
-First distribute the (-2) to each factor.
(x^2 - x - 12) -2x + 8
-Then just add variables with the same exponent
x^2 - 3x - 4
Done!

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Urgent please please help It's due soon!

amm1812

9514 1404 393

Answer:

money market: $1000
stock: $238,500
mutual fund: $228,500

Step-by-step explanation:

We can let x and y represent the amounts invested in the stock and mutual fund, respectively. Then the amount invested in the money market account was (468000 -x -y). Two relations can be written.

x = y + 10000 . . . . . 10,000 more was invested in stock than in mutual funds

0.035(468000-x-y) +0.04(x) -0.03(y) = 2720 . . . . first-year return

Collecting terms in the second equation gives ...

0.005x -0.065y +16380 = 2720

-x + 13y = 2732000 . . . . . . subtract 16380, multiply by -200

12y -10000 = 2732000 . . . . substitute for x using the first equation

y = 2742000/12 = 228,500 . . . . solve for y

x = 228,500 +10,000 = 238,500 . . . . . find x from the first equation

468,000 -x -y = 468,000 -467,000 = 1,000 . . . . find the money market amount

Pierre invested $1000 in the money market account, $238,500 in the stock, and $228,500 in the mutual fund.

6 0

3 years ago

An internet cafe charges a fixed amount per minute to use the internet. The cost of using the internet in dollars is, y = 3/4x.

Vinil7 [7]

ANSWER

8 minutes

EXPLANATION

We know that the cost of using the internet in dollars is given by,

$y=\frac{3}{4}x$

Where x is the number of minutes spent on the internet.

In this problem, we have to find how many minutes will 6 dollars buy. In other words, we have to find x for y = 6. To solve the given equation for x, we have to multiply both sides by 4,