Answer:
$265
Step-by-step explanation:
You add $435 and $625 and get $1060 dived that by four and you get
Answer:
- 12x +15y = 4140; x + y = 300
- x = 120; y = 180
Step-by-step explanation:
The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.
The equations are ...
12x +15y = 4140; x +y = 300
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Using the second equation to write an expression for x, we have ...
x = 300 -y
Substituting this into the first equation gives ...
12(300 -y) +15y = 4140
3600 +3y = 4140
y = (4140 -3600)/3 = 180
x = 300 -180 = 120
The number of tickets sold is ...
$12 tickets -- 120
$15 tickets -- 180
_____
You might want to notice that the equation we ended up with:
4140 -12(300) = 3y
is equivalent to this "word solution." This can be done in your head; no equations required.
If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.
Step-by-step walkthrough:
a.
Well a standard half-life equation looks like this.
is the starting amount of parent element.
is the end amount of parent element
is the time elapsed
is a half-life decay period
We know that the starting amount is 74g, and the period for a half-life is 2.8 days.
Therefore you can create a function based off of the original equation, just sub in the values you already know.
b.
This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.
c.
Now we just gotta do some algebra. Use the original function but this time, replace 
with 10g and solve algebraically.
Take the log of both sides.
Use the exponent rule for log laws that, 
slap that in your calculator and you get
F equals 11 because it three times 1 plus eight.
Answer:
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