It is given that the measurement of arc AC = 155 . And AB is the diameter, so measurement of arc AB=180 degree . Therefore arc BC = arc AB - arc AC = 180-155=25 . And the radius divides chord CD in two equal parts, so it divides the arc too in two equal parts. Therefore if the measurement of arc CB =25 , then the measurement of arc BD =25 too. Hence x =25 .
Answer:
$395.61
Step-by-step explanation:
The formula for simple interest is:
Where
i is the interest amount
P is the principal amount
r is the rate of interest per time period
t is the time period
Here,
P = 4869
we want to find after 30 months, that converted to years is:
30/12 = 2.5 years
t = 2.5
The annual rate is 3.25% = 0.0325
Now, substituting, we find our answer:
The interest earned is <u>$395.61</u>
We have been given that Judy’s brother Sam has a collection of 96 comic books.
We have been asked to find the 10 ways Sam could divide his comic books into equal groups.
This can be done as follows:
96 can be written as .
Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.
Likewise, 96 can also be written as . Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.
Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a total of 10 ways in which Sam can divide his comic books into equal groups.
