Saving in January

On the 1st of January a students puts $10 in a box. On the 2nd she puts $20 in the box, and so on, putting the same number of 10-dollers notes as the day of the month. How much money will be in the box if she keeps doing this for

a the first 10 days of January
b the whole of January?

Correct answer:

a =  550
b =  4960

Step-by-step explanation:

a1=10 d=10 n1=10 a10=a1+(n11) d=10+(101) 10=100  a=a1+a102 n1=10+1002 10=550
n2=31 a31=a1+(n21) d=10+(311) 10=310  b=a1+a312 n2=10+3102 31=4960

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • April (month)
    coins April has 30 days. Roman saves his money in the box for the whole month. Every third day you saves 10 cents. How many cents did Roman saved during the whole month when start saving on April 1?
  • Saving 9
    penize An amount of $ 2000 is invested at an interest of 5% per month. If $ 200 is added at the beginning of each successive month but no withdrawals. Give an expression for the value accumulated after n months. After how many months will the amount has accumula
  • Retirement annuity
    bankovka How much will it cost to purchase a two-level retirement annuity that will pay $2000 at the end of every month for the first 10 years, and $3000 per month for the next 15 years? Assume that the payment represent a rate of return to the person receiving th
  • Homework
    old_phone The monthly fee for the phone is 12 USD and for phone unit 0.08 USD. How much family pay phone in the first quarter Q1, if on January 1 had on the counter 97362 units and on April 1 97946 units.
  • Fly and cyclist
    fly Two cyclists are at 20 km apart on a same line. They start at same time towards each other at a speed of 10 km/hr. A fly sitting on one of the cyclists handle start flying towards the other cyclists at a speed of 20 km/hr. It touches the handle and move b
  • Piano
    piano If Suzan practicing 10 minutes at Monday; every other day she wants to practice 2 times as much as the previous day, how many hours and minutes will have to practice on Friday?
  • Banknotes
    ducat $ 1390 was collected. How much was in $20 notes and how many in $50 notes in that order? How many solutions exists?
  • Startup
    usd Jaxon’s start up business makes a profit of $450 during the first month. However, the company records a profit of -$60 per month for the next four months and a profit of $125 for the final month. What is the total profit for the first six months of Jaxon’
  • Readers
    books Readers borrowed a total of 220 books in the library during the first three days. On the second day, readers borrowed half as many books as the first day and at the same time 20 fewer books than the third day. Depending on the quantity x, express the numb
  • Four pupils
    four_digit Four pupils divided $ 1485 so that the second received 50% less than the first, the third 1/2 less than a fourth, and fourth $ 154 less than the first. How much money had each of them?
  • Stacks
    euro_stacks Annie has a total of $ 702. The money must be divided into stacks so that each buyer has the same amount of dollars. How many options she has?
  • Social Security Administration
    bankovka In January 2012, the Social Security Administration increased benefits to its recipients for the first time since 2009. Before the increase, James received $1200/month. After the increase, he received $1243.20/month. Find the percent increase in Social Se
  • Simple interest 4
    coins-uk Find the simple interest if $x USD at $p% for $m days. Assume a $r-day year.
  • If you 3
    bank2 If you deposit $4500 at 5% annual interest compound quarterly, how much money will be in the account after 10 years?
  • Milk bill
    milk Mrs Tara buys 2 liters of milk daily. If 1 liter of milk cost $0.27. What will be her milk bill for 30 days.
  • Bank
    money Paul put $a in the bank for $r years. Calculate how much you will have in the bank if he not pick earned interest or change deposit conditions. The annual interest rate is $u%, and the tax on interest is $d%.
  • Loan
    loan Apply for a $ 59000 loan, the loan repayment period is 8 years, the interest rate 7%. How much should I pay for every month (or every year if paid yearly). Example is for practise geometric progression and/or periodic payment for an annuity.