I'll do the first 2 and 6, and I challenge you to do the other three on your own!
For 1, from some guess and check we can figure out that 5*5=25. Since 5 is a prime number, that's it!
For 2, we can figure out that 7*7=49 and 7 is a prime number, so we're good there.
From 6, we can do some guess and check to figure out that 2*24=48, 2*12=24, 2*6=12, and 2*3=6, resulting in 2*2*2*2*3=48 since 2 and 3 are prime numbers. We found out, for example, to find 2*12 due to that if 2*24=48, 2*24 is our current factorization. By finding 2*12=24, we can switch it to 2*2*12
Answer:
$103968.11
Step-by-step explanation:
Given information:
Principal amount = $240,000
Rate of interest = 1.2% = 0.012
Number of years = 30
Number of times in an year = 24
Formula for amount:
where
P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.
Now,
Hence, the interest is $103968.11.
Answer:
The equation for total cost function is
C(x)=100+270x
Step-by-step explanation:
Variable cost per per board =total cost per day-fixed cost per day/daily output
total cost per day is $5,500
fixed cost per day is $100
20 boards are produced per day
variable cost per board=($5,500-$100)/20=$270 per day
Total cost C(x)=fixed cost per day+ variable per board*number of daily output
Since daily output is represented also by x ,total cost function is given thus:
C(x)=100+270x
Answer:
6.25 pi cm^2
Step-by-step explanation:
The formula for circumference is
C = 2*pi*r
We know the circumference is 5 pi
5 pi = 2 * pi *r
Divide each side by pi
5 pi/pi = 2 * pi *r/pi
5 = 2r
Divide by 2
5/2 = 2r/2
2.5 = r
We need to find the area of the circle
The area is given by
A = pi * r^2
= pi * (2/5)^2
= pi *6.25
= 6.25 pi cm^2
The point of intersection is the point where lines intersect.
<em>There will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Given
<em />
<em> --- the number of lines</em>
<em />
<em> --- no three lines are concurrent</em>
<em />
When no three line are concurrent, it means that no three lines meet at the same point.
<u>So, the sequence of intersection is:</u>
- <em>0 intersection for 1 line</em>
- <em>1 intersection for 2 lines</em>
- <em>3 intersections for 3 lines</em>
- <em>6 intersections for 4 lines</em>
<em />
Following the above sequence, the number of intersections for n lines is:
In this case, 
So, we have:
<em>Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Read more about lines of intersections at:
brainly.com/question/22368617
