We write an inequality:
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
is a linear function while
is an exponential one (with limit zero as
approaches
). We see that
at approximately
and
.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at
. By observing our graph, we see that
when
or
.
Answer:
Step-by-step explanation:
Step 1: Divide the numbers
Step 2: Simplify
Step 3: Simplify
Therefore, the simplified answer is 
100,000
because the 8 makes the 9 round up into a 10
Not really sure what you are looking for, but this is how to solve equations such as these.
Let:
x = number of pounds of granola
y = numer of pounds of walnuts
The equation he can use to compute the total cost would be:
$2.00x + $6.00y = $12.00
We know that he bought 3 pounds of granola, so we plug in that for the x value:
$2.00(3) + $6.00y = $12.00
$6.00 + $6.00y = $12.00
To isolate the unknown value which is y, we first need to subtract $6.00 from both sides of the equation:
$6.00 + $6.00y - $6.00 = $12.00 - $6.00
$6.00y = $6.00
Then we divide both sides by $6.00:
$6.00y/$6.00 = $6.00/$6.00
y = 1
So the number of bags of walnuts he can buy is 1 bag.
Answer:
Step-by-step explanation:
The formula for the future value (FV) of an investment earning compound interest is
where
PV = the present value (PV) of the money invested
r = the annual interest rate expressed as a decimal fraction
t = the time in years
n = the number of compounding periods per year
Data:
FV = $7100
r = 8 % = 0.08
t = 7 yr
n = 2
Calculation:
