How many booths and tables are there altogether?
A ratio between is like 52
The exponential parent function is D
Step 1: Factor

1. <span> Multiply 2 by -2, which is -4.</span>
2. <span>Ask: Which two numbers add up to -3 and multiply to -4?
</span>3. <span>Answer: 1 and -4
</span>4. Rewrite

as the sum of

and


Step 2: <span>Factor out common terms in the first two terms, then in the last two terms.
</span>

<span>
Step 3: </span>Factor out the common term


Step 4: Solve for

1. Ask: When will

equal zero?
2. Answer: When

or

3. <span>Solve each of the 2 equations above:
</span>

<span>
Step 5: </span>From the values of

<span>above, we have these 3 intervals to test.
x = < -1/2
-1/2 < x < 2
x > 2
Step 6: P</span><span>ick a test point for each interval
</span>For the interval

Lets pick

Then,

After simplifying, we get

, Which is false.
Drop this interval.
<span>
For this interval

Lets pick

. Then,

. After simplifying, we get

which is true. Keep this <span>interval.
For the interval </span>

Lets pick

Then,

After simplifying, we get

, Which is false. Drop this interval.
.Step 7: Therefore,

Done! :)</span>
The amount invested in the fund earning 8.5% is $40,000 whereas $20,000 was invested in the fund earning 10%
What is the return on each fund?
The return on each fund is determined as the amount invested multiplied by the interest rate on the fund
;Let X be the amount invested at 8.5%
Interest=8.5%*X=0.085X
The interest of the fund invested at 10%=($60,000-X)*10%
The interest of the fund invested at 10%=$6000-0.10X
Total interest=0.085X+6000-0.10X
Total interest earned during year 1=$5,400
5400=0.085X+6000-0.10X
5400=6000-0.015X
0.015X=6000-5400
0.015X=600
X=600/0.015
X=$40,000(amount invested at 8.5%)
amount invested at 10%=$60,000-$40,000
amount invested at 10%=$20,000
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