Answer:
#4, #1, #3, #2
Step-by-step explanation:
We will calculate the total amount for each of the credit card and then arrange them in descending order according to their interest after 36 months (3 years)
Interest on Credit card 1 =
= $2233
Interest on credit card 2 =
= $778
Interest on credit card 3 =
= $1656
Interest on credit card 4 =
= 2250
Hence the correct order to pay off all the credit card balances is
#4, #1, #3, #2
Answer:
10
Step-by-step explanation:
<u>We can show this as:</u>
<u>Since </u>
<u>Then</u>
The closest number in the list is 10 as all the rest are greater than 10
Second choice is the correct one
Answer: The diver is 23 feet under sea level
Step-by-step explanation:
If we draw a vertical number line (image attached), where point 0 is sea level (the diver's initial position), the first point under sea level is -20, since we are told it dives a distance of 20 ft (the negative sign is only to indicate the direction, since a distance cannot be negative).
Then, the diver goes 10 ft deep. This means now it is 30 ft under sea level and the second point is -30.
After that the diver swims up 12 ft, hence we have to count 12 points up in our number line and the corresponding point is -18.
Finally, the diver swims 5 ft lower and keep that position. Hence, we have to count 5 points below point -18 in the number line, resulting in the last point: -23.
This means the diver's final position is 23 feet under sea level.
If we want to prove it with numbers, we can do it as follows:
20 ft (down)+10 ft (down)-12 ft (up)+5 ft (down)=23 ft
Answer: B. YesStep-by-step explanation:We have been given that in parallelogram ABCD, D is a right angle. We are asked to determine whether the given parallelogram is rectangle or not.Let us recall parallelogram properties.Opposite angles of parallelogram are equal.Consecutive angles of parallelogram are supplementary.Since D is a right angle, so its opposite angle will be right angle as well and consecutive angles of angle D will be right angles as well.Therefore, the parallelogram ABCD is a rectangle and option B is the correct choice.
Step-by-step explanation:
Answer:
Option d. (-2,-5)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex of the parabola
In this problem we have
This is the equation of a vertical parabola open up
The vertex is minimum
Convert the equation in vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
-----> equation in vertex form
therefore
The vertex is (-2,-5)