<h3>
Answer:</h3>
- $2693.12
- $2125.00
- B) The area of the field is 10.24 times the area of the playground
<h3>
Step-by-step explanation:</h3>
1. Each year the balance is multiplied by 1.09, so after 5 years, the balance is multiplied by 1.09^5 ≈ 1.53862395. Subtracting the original invetment amount gives the value of the interest earned.
... 5000 × 1.53862395 - 5000 = 5000 × 0.53862395
... ≈ 2693.12 . . . . matches choice D
2. The interest earned is given by the formula ...
... I = Prt . . . . . where P is the principal, r is the interest rate, and t is the time period.
Filling in the given numbers, you have ...
... I = 2500×0.085×10 = 2125 . . . . matches choice B
3. The product of length and width is the area. If both length and width are multiplied by 3.2, then the area is multiplied by 3.2×3.2 = 10.24. The appropriate choice is B.
Answer: The formula is m=(y2-y1)/(x2-x1)
Step-by-step explanation: So false
Answer:
<h2>The first graph in the second image is an odd function.</h2>
Step-by-step explanation:
An odd function has a graph that it's symmetric about the origin, that is, the origin is like a mirror. In other words, the graph of an odd function has a specific symmetry about the origin.
So, we have to look for those graph that has symmetrical points in opposite quadrants, I and III or II and IV.
You can observe that the first graph of the second image has this behaviour. You can see that the points are symmetrical across the origin. If you graph a line defined as y=-x, you will observe that such line acts like a mirror.
Therefore, the odd function is the first graph in the second image.
Based on the number of songs in each genre that Josiah listened to, the statements about his solution that are true are:
- He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
- He did not multiply the numerator and denominator by the correct number to equal 1,500.
- He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.
<h3>What did Josiah do wrong?</h3>
To find the average of the number of rock songs, he should have taken the average of rock songs he listened to which were 4 and 6:
= (4 + 6) / 2
= 5
Because he has a total of 1,500 songs on his player, he should have multiplied both the numerator and denominator by a number that would lead to 1,500 which is 75 and not 30.
Find out more on averages at brainly.com/question/13832161.
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Answer: the rate of speed for train A is 66 miles per hour.
Step-by-step explanation:
Let x represent the speed of train B.
2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.
The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.
Distance = speed × time
Distance travelled by train A after 4 hours is
4(x - 16) = 4x - 64
Distance travelled by train B after 4 hours is
4 × x = 4x
Since the total distance travelled by both trains is 720 miles, then
4x - 64 + 4x = 720
8x = 720 - 64 = 656
x = 656/8 = 82 miles per hour
The speed of train A would be
82 - 16 = 66 miles per hour.
