Find the sum: 15+20+25+30+35+...+875+880+885


Answer 1


the actual answer is 78750

Step-by-step explanation:

summation of 2-176 in the equation 5n+5

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Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?



What is 1 divided by a negative number with negative exponent:


Answer: I got -1024...

Step-by-step explanation:

1234+1234+1234= 30




9+1224+12 = 1245

But, Logically, here:

9+1224+12 = 21



Hope this helps

1. (5 points) At 6pm, ghost A is 5 kilometers due west of ghost B. Ghost A is flying westat 15 km/hr and ghost B is flying north at 20 km/hr. How fast is the distance between
the ghosts changing at 10pm?



The distance between the ghost changes at 10 pm approximately at a rate of 24.981 kilometers per hour.

Step-by-step explanation:

At first we assume that north and east directions both represent positive quantities. Let suppose that \vec r_(A,o) = (0\,km,0\,km) and \vec r_(B,o) = (5\,km, 0\,km). If both ghosts moves at constant velocity such that \vec v_(A) = \left(-15\,(km)/(h), 0\,(km)/(h) \right) and \vec v_(B) = \left(0\,(km)/(h),20\,(km)/(h)  \right), then the final positions of both ghosts are, respectively:

Ghost A

\vec r_(A) = \vec r_(A,o)+t\cdot \vec v_(A)(Eq. 1)

Ghost B

\vec r_(B) = \vec r_(B,o)+t\cdot \vec v_(B)(Eq. 2)

Where t is the time, measured in hours.

Then, the equations of motion of each ghost are, respectively:

Ghost A

\vec r_(A) = (0\,km,0\,km)+t\cdot \left(-15\,(km)/(h), 0\,(km)/(h)  \right)

\vec r_(A) = \left(-15\cdot t, 0)\,\,\,\left[km \right]

Ghost B

\vec r_(B) = (5\,km, 0\,km)+t\cdot \left(0\,(km)/(h), 20\,(km)/(h)  \right)

\vec r_(B) = (5, 20\cdot t)\,\,\,\left[km\right]

Then, the distance between both ghosts is:

\vec r_(B/A) = (5,20\cdot t)-(-15\cdot t, 0)\,\,\,[km]

\vec r_(B/A) =(5+15\cdot t, 20\cdot t)\,\,\,[km](Eq. 3)

The magnitude of the relative is represented by the following Pythagorean identity:

r^(2)_(B/A) = (5+15\cdot t)^(2)+(20\cdot t)^(2)

Then, we find the rate of change of the relative distance (\dot r_(B/A)), measured in kilometers per hour, by implicit differentiation:

2\cdot r_(B/A)\cdot \dot r_(B/A) = 2\cdot (5+15\cdot t)\cdot 15+2\cdot (20\cdot t)\cdot 20

r_(B/A)\cdot \dot r_(B/A) = 15\cdot (5+15\cdot t)+20\cdot (20\cdot t)

\dot r_(B/A) = (75+625\cdot t)/(r_(B/A))

\dot r_(B/A) = \frac{75+625\cdot t}{\sqrt{(5+15\cdot t)^(2)+(20\cdot t)^(2)}}(Eq. 4)

If we know that t = 4\,h, then the rate of change of the relative distance at 10 PM is:

\dot r_(B/A) = \frac{75+625\cdot (4)}{\sqrt{[5+15\cdot (4)]^(2)+[20\cdot (4)]^(2)}}

\dot r_(B/A) \approx 24.981\,(km)/(h)

The distance between the ghost changes at 10 pm approximately at a rate of 24.981 kilometers per hour.

In your own words, explain how debit resequencing works.



Explained below.

Step-by-step explanation:

Debit resequencing is a practice whereby a bank will process the debit and credit to an account in such a way that it causes account balances to fall faster which in turn leads to a boost in potential overdraft fees.

This is how it works;

For example, if you send two cheques on a given date — one sent to your credit card company for $300 and the second one sent to your local electric company for $150, the credit card company and the local electric company will try to get their money from your account on the same date. Now, you've set up an automatic withdrawal to pay your rent which also hits your account with your rent being is $600.

Now, if on the date that those three amount of money above hits your account, you have a balance of say $175, the bank could clear the $150 charge first, thereby resulting in two overdraft fees.

However, Instead of that process above, many banks use a software that reorders the transactions. This software will first of all present the $600 charge, followed by the $300 charge and then finally the $150 charge. In this way, you will end up paying three overdraft fees rather than just two. Banks normally use this method in order to maximize profit rather than with the aim of pleasing their customers.

Final answer:

Debit resequencing is a practice used by some banks to change the order in which debit card transactions are processed. It often results in additional fees for the account holder as transactions are rearranged based on amounts or types. However, not all banks engage in this practice.


Debit resequencing is a practice used by some banks to change the order in which debit card transactions are processed, often resulting in additional fees for the account holder. This process involves rearranging the order of transactions from highest to lowest amount or by type, such as ATM withdrawals or online purchases.

For example, let's say you have $100 in your account and make two transactions: a $90 purchase followed by a $20 purchase. Instead of processing the transactions in the order in which they occurred, a bank using debit resequencing may instead process the $20 purchase first, resulting in an overdraft fee for the $90 purchase.

Debit resequencing has been a controversial practice as it can lead to unexpected fees for account holders. However, it is important to note that not all banks engage in this practice, and some have implemented policies to prevent debit resequencing.

Learn more about Debit resequencing here:


4272/6 use partial qutiants to divide




Step-by-step explanation:

4272/6= 4200/6+72/6\n4272/6= 700 +12\n4272/6=712

Hope this helps :D