Answer:5) c= 25.12 cm
6) c= 282.6 m
7) c= 13.188 mi
8) c= 6.28 cm
Step-by-step explanation:
C= 2 x pi x r
Circumference = 2 x 3.14 x radius ( radius is half the diameter of the circle)
It has one X-intercept. Graph it on Desmos and you can see the line, and then it becomes obvious it is one x-intercept.
Answer: $40
Step-by-step explanation:
The key formula to use for this problem is the simple interest formula, which is
; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.
Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate:
. We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.
We should now have: 
Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of 
This should result in 
Therefore, James will receive $40 on his $500 investment after 12 months.
Answer:
The temperature of the liquid 15 minutes later is 
Step-by-step explanation:
This is an example of arithmetic progression
We need to find 15 th term
Here

Answer: 22 pieces
Step-by-step explanation:
You have to divide 49.5 ÷ 2.25
49.5÷2.25= 22
Jorge can cut 22 pieces of plywood for the tracks.