Answer:
The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:
- Negative slope.
- Constant slope.
Step-by-step explanation:
We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.
Clearly from the graph we could that it is a linear function.
Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.
Also, we can calculate the slope of the line.
as the line is passing through (0,500) and (100,0)
Hence, the slope of line is:
Hence, the graph has a negative slope.
Also, we know that a slope of a line is always constant.
So, the correct statements are:
Negative slope.
Constant slope.
Decreasing function.
Answer:
Simple interest = $36
Compound interest = $48.96
It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.
Step-by-step explanation:
Simple interest is calculated on the principal amount of a loan. Compound interest is calculated on the sum of principal amount and accumulated interest of previous periods.
Simple interest = 
Compound interest = 
Here, P denotes principal amount, R denotes rate of interest, T denotes time.
Given: $600 invested at 3% simple interest for 2 years, $600 invested at 4% compounded monthly for 2 years
To find: Simple interest and compound interest.
Solution:
Take P=600, R=3% and T=2 years
Using the formula of simple interest mentioned above,
Simple interest = 
So, interest earned is $36
Take P=600, R=4% and T=2 years
Using the formula of compound interest mentioned above,
Compound interest = 
=
=![600\left [ \left ( \frac{26}{25} \right )^2-1 \right ]](https://tex.z-dn.net/?f=600%5Cleft%20%5B%20%5Cleft%20%28%20%5Cfrac%7B26%7D%7B25%7D%20%5Cright%20%29%5E2-1%20%5Cright%20%5D)
=
=
So, interest earned is $48.96
It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.
Answer:
486kg
Step-by-step explanation:
density = mass / volume
2.7 = m / (100 x 60 x 30) **** Note the conversion to cm as the density is given in g/cm.
2.7 = m / 180000
m = 486000g
Now convert to mass in kg:
486000 g x 1 kg / 1000 g = 486kg
Answer:
7/20
Step-by-step explanation:
2/5= 8/20 y 1/4=5/20
Jose le dio 13/20 partes, y Jose puso 7/20
x^2 - 4
------------------------------
x + 7 | x^3 + 7x^2 - 4x - 28
x^3 + 7x^2
------------------
0 - 4x - 28
-4x - 28
-------------
0
Now we know that
x^3 + 7x^2 - 4x - 28 = (x^2 - 4)(x + 7)
x^2 - 4 can be factored since it is the difference of two squares.
x^2 - 4 = (x + 2)(x - 2)
The complete factoring is:
x^3 + 7x^2 - 4x - 28 = (x +2)(x - 2)(x + 7)
