Answer:
for 48, the prime numbers I have obtained are 2, 3, 2, 2, and 2
Answer:
![5x + 2 - x + 10 \\ 5x - x + 2 + 10 \\ 4x + 12 \\ = 4(x + 3)](https://tex.z-dn.net/?f=5x%20%2B%202%20-%20x%20%2B%2010%20%5C%5C%205x%20-%20x%20%2B%202%20%2B%2010%20%5C%5C%204x%20%2B%2012%20%5C%5C%20%20%3D%204%28x%20%2B%203%29)
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
The total number of cups of coffee is 12x - 3 ⇒ last answer
Step-by-step explanation:
- Madden and Jenn both worked at the coffee shop today
- Madden's total cups of coffee made is represented by f(x) = 7x - 4
- Jenn's total cups of coffee made is represented by g(x) = 5x + 1
- We want to write a function represents the total cups of coffee they
made together
∵ f(x) represents the number of cups of coffee that Madden made
∵ f(x) = 7x - 4
∵ g(x) represents the number of cups of coffee that Jenn made
∵ g(x) = 5x + 1
- To find the total cups they made together we will add the two
functions f(x) and g(x)
∵ f(x) + g(x) = (7x - 4) + (5x + 1)
- Add like terms
∴ f(x) + g(x) = (7x + 5x) + (-4 + 1)
∴ f(x) + g(x) = 12x + (-3)
-Remember (+)(-) = (-)
∴ f(x) + g(x) = 12x - 3
* <em>The total number of cups of coffee is 12x - 3</em>
Step-by-step explanation:
all steps are in picture
Answer:
$7,544.58
Step-by-step explanation:
We will use the compound interest formula provided to solve this:
![A=P(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3.3% into its decimal form:
3.3% ->
-> 0.033
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
![A=7,300(1+\frac{0.033}{12})^{12(1)}](https://tex.z-dn.net/?f=A%3D7%2C300%281%2B%5Cfrac%7B0.033%7D%7B12%7D%29%5E%7B12%281%29%7D)
![A=7,544.58](https://tex.z-dn.net/?f=A%3D7%2C544.58)
The balance after 1 year will be $7,544.58