Answer:
A. $8139.80
B. $8449.80
Step-by-step explanation:
Kindly check picture attached for explanation
Answer:
25 dimes & 12 nickels
Step-by-step explanation:
Let there be "n" nickels and "d" dimes
Total, there are 37 of them, so we can write:
n + d = 37
Also, valueof nickel is 0.05 and value of dime is 0.10 (in dollars) and total value of these 37 coins is 3.10, so we can write:
0.05n + 0.10d = 3.10
Now we can write first equation as:
n + d = 37
n = 37 - d
Replace this into equation 2 and solve for d:
0.05n + 0.10d = 3.10
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25/0.05
d = 25
Now, n = 37 - d, n = 37 - 25 = 12
So,
There are 25 dimes & 12 nickels
In this situation triangle BOC is inscribed in the circle. Length of BC is 10,91, length of BO is 5 (radius) and length of CO is 5 (radius).
we need to know theorem of sines:

Dividing the given equation by 25 we get:

Applying the natural logarithm to the above equation we get:

Finally, solving for x we get:

Answer: Option A.
Answer: y = -5x + 6
Step-by-step explanation:
First, we need to find the slope, which would be m in the equation. To find m, we can use the formula called "rise over run". Here's the formula: 
So, to use this formula, you pick two points from the line that you're given and solve for m.
Let's use the points (1,1) and (0,6). x1 would be 1, x2 would be 0, y1 would be 1, y2 would be 6


So, the slope is -5
Then, we need to find the y intercept, which would be b in the formula.
We can see that the point where the line meets the y axis is at (0.6), so the y intercept would be 6.
Now let's put everything together:
y = mx+b
y = -5x + 6