So, let's first focus on the first year:
the population then would be: 23000* (100+2)%
100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.
So it will be 23000*1.02
After two years it will be 23000*1.02*1.02, and so on
so after x years it will be:
y=23000*
Hi there!
Mrs. Miller earns a commission of 6% of 179,000
The word "of" is the same thing as a multiplication sign.
6% of 179,000 = 6% × 179,000
6% = 0.06
6% × 179,000 = 0.06 × 179,000
0.06 × 179,000 = 10,740
Your answer is: Mrs. Miller earns $10,740 of commission.
There you go! I really hope this helped, if there's anything just let me know! :)
It is an advanced science class, therefore the students will most likely have a preference in science related careers, over representing science, and under representing anything else.
Answer:
x=-32/29
Step-by-step explanation:
3x+4y=36 Equation 1
-5x+3y=35 Equation 2
Multiplying equation 1 with 3 (value before y in equation 2) and equation 2 with 4 (value before y in equation 1) we obtain equations 3 and 4 as follows
9x+12=108 equation 3
-20x+12y=140 equation 4
Subtracting equation 3 from equation 4 we obtain
-29x=32
x=-32/29
To find the value of y, we substitute the value of x into equation 2 as initially given in the equation
-5(-32/29)=35-3y
-5(-32/29)-35=-3y
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Sample mean(x) = 23500
Sample standard deviation (sd) = 3900
Sample size (n) = 20
Population mean (m) = 20,000
Null hypothesis : m = 20000
H1: m > 20000
To obtain the z-score :
(population mean - sample mean) / (sample standard deviation /√sample size)
(x - m) / (sd/√n)
(23500 - 20000) / (3900 / √20)
3500 / (3900 /4.4721359)
3500 / 872.06651
= 4.0134
Get the P value to know if to reject or accept the null:
P(z > 4.0134) = 1 - P(z < 4.0134)
P(z < 4.0134) = 1
1 - P(z < 4.0134) = 1 - 1 =0
Since P value is < alpha, we reject the null.
Hence average is > 20000
