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aivan3 [116]
3 years ago
13

Cyclist A leaves point X at 12 noon and travels at constant velocity in a straight path. Cyclist B leaves point X at 2 p.m. trav

els the same path at constant velocity, and overtakes A at 4p.m. What was the speed of B?
(1) Cyclist A weighs twice as much as Cyclist B.
(2) When Cyclist B overtook Cyclist A, both had traveled 75 miles.
Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer:

37.5 miles per hour

Step-by-step explanation:

The question might be trying to confuse the reader. Point (1) which states the difference in weight does not show any evidence on how it affects the speed of both cyclist. Point (2) show an important point where the distance traveled is 75 miles.

Cyclist B, who leave point X at 2pm overtook cyclist A at 4pm, showing that the time it took for B to overtook A is 2 hours

Speed = distance / time

= 75 miles / 2 hours

= 37.5 miles per hour

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You plan to borrow $36,500 at a 7.7% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year p
erma4kov [3.2K]

The amount of interest you would be paying in Year 2 is: $2,492.62.

<h3>Interest</h3>

First step is to calculate the Equal Monthly Payment

Equal Monthly Payment=P×r×(1+r)^t/(1+r)^t-1

Where:

P=Principal=$36,500

r=Rate=7.7%

t=Time=7 years

Equal Monthly Payment=36,500×0.077×(1+0.077)^7÷(1+0.077)^7-1

Equal Monthly Payment=36,500×0.077×(1.077)^7÷(1.077)^7-1

Equal Monthly Payment=36,500×0.077×1.6807763÷1.6807763-1

Equal Monthly Payment=4,723.82/0.6807763

Equal Monthly Payment=$6,938.875

Second step is to calculate Year 1 Closing balance

Year 1 Closing balance  = Beginning  balance + Interest - EMI Payment

Year 1 Closing balance=  $36,500 +($36,500×7.7%) - $6,938.875

Year 1 Closing balance=  $36,500 + $2,810.5 -$6,938.875

Year 1 Closing balance =   $32,371.625

Third step is to calculate year 2 interest

Year 2 Interest= $32,371.625×7.7%

Year 2 Interest=$2,492.62

Therefore the amount of interest you would be paying in Year 2 is: $2,492.62.

Learn more about interest here:brainly.com/question/15259578

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8 0
1 year ago
Allen is on the football team this year but he has poor time management skills. His mother told him that he is off the team if h
luda_lava [24]

Answer:

See explanation

Step-by-step explanation:

We can see that the sequence is 90, 86,82,.......

The common difference is  86 - 90 = -4

                                             82 - 86 = -4

Hence the sequence is arithmetic

The function is;

t(n) = 90 + (n - 1)(-4) = 90 + 4 - 4n

t(n) = 94 - 4n

Since it is AP, we have the sequence as;

90, 86, 82, 78, 74, 70, 66, 62......

He will no longer play football after the eighth quiz.

The total points earned is the sum of the first eight terms of the AP

Sn =n/2[2a + (n - 1) d]

Sn = 8/2[2(90) + (8 - 1) (-4)]

Sn = 608 points

5 0
3 years ago
Question is in the image​
storchak [24]

Answer:

4.

Step-by-step explanation:

y = -2x + 3

-1 = -2(2) + 3

-1 = -4 + 3

-1 = -1

y = x - 3

-1 = 2 - 3

-1 = -1

8 0
3 years ago
(a) How many tens are in 457? How many whole tens?
PolarNik [594]

Answer:

  • 45,7 tens
  • 45 whole tens

Step-by-step explanation:

457 / 10 = 45,7

5 0
2 years ago
4,8,9, 8, 5, 2 <br> find the median
Damm [24]

Answer:

The median is 8.5

Step-by-step explanation:

When you find the median of an even amount of number, you add the two middle numbers and divide by 2.

6 0
2 years ago
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