9514 1404 393
Explanation:
We can find the slope by solving for y.
3x +2y +7 = 5x +3y +10
-2x -3 = y . . . . . . . . . . . . . add -5x-10-2y to both sides of the equation
In this form, the slope (m) is the coefficient of x, -2. Hence m = -2.
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<em>Alternate solution</em>
A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...
m = rise/run = -3/1.5
m = -2
<h3>Answer: 7366.96 dollars</h3>
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Use the compound interest formula:
A = P(1+r/n)^(n*t)
where in this case,
A = 12000 = amount after t years
P = unknown = deposited amount we want to solve for
r = 0.05 = the decimal form of 5% interest
n = 1 = refers to the compounding frequency (annual)
t = 10 = number of years
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Plug all these values into the equation, then solve for P
A = P(1+r/n)^(n*t)
12000 = P(1+0.05/1)^(1*10)
12000 = P(1.05)^(10)
12000 = P(1.62889462677744)
12000 = 1.62889462677744P
1.62889462677744P = 12000
P = 12000/1.62889462677744
P = 7366.95904248911
P = 7366.96
Answer:
The number of trees at the begging of the 4-year period was 2560.
Step-by-step explanation:
Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees was
, and for the next three years we have that
Start End
Second year
-------------- 
Third year
-------------
Fourth year
--------------
So the formula to calculate the number of trees in the fourth year is
we know that all of the trees thrived and there were 6250 at the end of 4 year period, then
⇒
Therefore the number of trees at the begging of the 4-year period was 2560.
Whats item 2? there’s no context
The tiles are identical, so you would need them to fit exactly.
if he uses 144 tiles to cover the floor, the area would be 72/144 = 0.5 square feet
this is just one example