Answer:
Step-by-step explanation:
Use FOIL method
1) (x +4 )(3x +2) = x*3x + x*2 + 4*3x + 4*2
= 3x² + 2x + 12x + 8
= 3x² + 14x + 8
4) (4x - 1) (2x + 7) = 4x*2x + 4x*7 + (-1)*2x + (-1) * 7
= 8x² + 28x - 2x - 7
= 8x² + 26x - 7
Answer:
12/15 as he has already had 15 outcomes.
Step-by-step explanation:
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
Answer:
14a² - 3b² + 4b
Step-by-step explanation:
Like terms are the terms that have similar stuff on it, like same variables, no variables, and stuff like that.
4a2-3b2+ 4b + 10a2
4a² and 10a² is similar. 4a² + 10a² = 14a²
Now, the equation is 14a² - 3b² + 4b. There is no more like terms left, so that is the answer.
Hope this helps!!
-Ketifa
Answer:
Option (3)
Step-by-step explanation:
Area of a circle is given by the formula,
Area = πr²
Here, r = radius of the circle
Since, radius of the circular trampoline = 8 feet
Area of the cover required for the circular trampoline = π(8)²
= 64π square feet
Therefore, Option (3) will be the answer.