Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:
where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.
Now we can use the above formula
Therefore the exact interest on $5,870 at 12% is $410.9
Answer:
A
Step-by-step explanation:
(5x4) - 6 / 2 = x
Answer:
Step-by-step explanation:
The area of a pie-slice shape can be found with the equation 
where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is 
Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is 
where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of 
Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle:
Answer:
Step-by-step explanation:
The domain of all polynomials is all real numbers. To find the range, let's solve that quadratic for its vertex. We will do this by completing the square. To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out. That gives us:
The second rule is to take half the linear term, square it, and add it to both sides. Our linear term is 2 (from the -2x). Half of 2 is 1, and 1 squared is 1. So we add 1 into the parenthesis on the left. BUT we cannot ignore the 2 sitting out front of the parenthesis. It is a multiplier. That means that we didn't just add in a 1, we added in a 2 * 1 = 2. So we add 2 to the right as well, giving us now:
The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form. Completing the square gives us a perfect square binomial on the left.
and on the right we will just add 10 and 2:
Now we move the 12 back over by subtracting and set the quadratic back to equal y:
From this vertex form we can see that the vertex of the parabola sits at (1,-12). This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12. Therefore, the range is R={y|y ≥ -12}
Answer:
36%
Step-by-step explanation:
the <em>complement </em>of it raining on at least one of these days = it not raining on any day
this means that if it does not rain on at least one day, it does not rain on any day
thus,
1 - probability of it not raining at all = probability it rains at least one day
probability it doesn't rain on monday = 1- 20% = 80%
probability it doesn't rain on tuesday = 1 - 20% = 80%
probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all
P(A and B) = P(A) * P(B) = 0.8 * 0.8 = 0.64
1 - 0.64 = 0.36 as our answer
