i cant tell you that it is from a test
Answer:
$1136.60
Step-by-step explanation:
The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.
We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:
f(x)=1800(1 + r)^x
We also know the time intervals is 6 months. So that can be substituted as well:
f(x)=1800(1 + r)^6
They told you that the growth rate is 8.5%, which is 0.085 of 1.
f(x)=1800(1 + 0.085)^6
Add the 2 values in the parentheses and you get 1.085
f(x)=1800(1.085)^6
Now solve.
Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:
1800(1.63146751) = 2936.64152. That rounds to 2936.60
So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.
$2936.60 - $1800 = $1136.60
Log3(7) + log3(x)
Terms that are multiplied inside one log become added when you separate them where each term gets its own log.
27 is 144% of 18.75
mk, hope I helped
Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
