Let us calculate the nearness of all the numbers provided
Number Nearnes
0.400 100
0.505 5
0.449 51
0.530 30
Thus 0.505 is the closest number to 0.5 in decimal terms
Answer:
Option B) $122,140
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
Round to the nearest dollar
<h3>
Answer: 60 teachers</h3>
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Explanation:
There are 500 female students and the ratio of boys to girls is 2:5
Multiply both parts of that ratio by 100 so that the "5" turns into "500"
The ratio 2:5 turns into 200:500 showing that for every 200 male students there are 500 female students. There are 200+500 = 700 students total.
Because of this 700 figure, we'll need to multiply both parts of the ratio 3:35 by 20 so that the 35 becomes 700.
The ratio 3:35 turns into 60:700. For every 60 teachers, there are 700 students.
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Another way to solve:
The ratio of boys to girls is 2:5 which we can write as 2/5
x = number of boys
2/5 = x/500
2*500 = 5x
1000 = 5x
5x = 1000
x = 1000/5
x = 200
There are 200 boys and 500 girls, so 200+500 = 700 total.
y = number of teachers
3/35 = y/700
3*700 = 35y
2100 = 35y
35y = 2100
y = 2100/35
y = 60
There are 60 teachers
The level from each growth factors is an illustration of combination
There are 90 ways of combining one level from each growth factors
<h3>How to determine the number of combination</h3>
From the complete question (see attachment), we have the number of levels in each growth factor is:
- Lighting = 3
- Age = 5
- Temperature = 2
- Humidity = 3
So, the number of combination (n) is:
n = 3 * 5 * 2 * 3
n = 90
Hence, there are 90 ways of combining one level from each growth factors
Read more about combination at:
brainly.com/question/11732255
Answer:
Coordinates of X is (7/2,9/2)
Coordinates of C is (6,7)
Explanation:
x is the midpint of DB and AC
coordinates of X = ( (5+2)/2 ,(6+3)/2)
= (7/2,9/2)
Coordinates of X is (7/2,9/2)
Let (a,b) be the coordinates of C.
Then,
coordinates of x = ((a+1)/2, (b+2)/2)
(7/2,9/2) = ((a+1)/2, (b+2)/2)
Hence,
7/2=(a+1)/2
7=a+1
a = 6
9/2 =(b+2)/2
9 =b+2
b =7
Coordinates of C is (6,7)