Answer: 43.96 feet
Step-by-step explanation:
C = 2πr or C = πd
Plug the numbers in: C = 3.14 * 14
3.14 * 14 = 43.96
Therefore, the circumference of the circle is 43.96 feet.
Answer:
(-2.5, 1) and (0.5, 5)
Step-by-step explanation:
The main idea is to divide the line into four segments.
so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).
then you find the midpoint again between (-4, -1) (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).
Answer:
c. 
Explanation:
Here "a" refers to side length.
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Answer:
The growth rate he needs to achieve his goal is approximatelly 19.8%
Step-by-step explanation:
Since the sum will be compounded continuously we have to use the appropriate formula given below:
M = C*e^(r*t)
Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:
16000 = 4000*e^(r*7)
4000*e^(7*r) = 16000
e^(7*r) = 16000/4000 = 4
ln[e^(7*r)] = ln(4)
7*r = ln(4)
r = ln(4)/7 = 0.198
The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.
11 a. Since she runs 10km in one hour she runs 5km in half an hour and 25km in 2 and a half hours
11b. Since she runs 5 miles in one hour she runs 2.5 miles in half an hour and 12.5 mils in 2 and a half hours
11 c. Since 1.60934 kilometers = 1 mile, Clair ran the farther distance
12 a. 13.20/6 = 2.2 dollars for 1 bowl
12 b. 9/3 = 3 and if he got 3 sets of 3 free bowls he bought 24 pairs of glasses
12 c. If Malcom bought 24 pairs of glasses 24*1.80 = 43.2, so he spent 43.2 dollars on glasses
13 a. 6 to 4 or 6:4
