Aril and Dita are wealthy Norwegian business owners who each began making monthly donations to international disaster relief at the same time. Aril donated 150 kr the first month, and the cumulative number of Norwegian kroners she has donated increases by a factor of 2.5 each month. Dita donated 300 kr the first month, and the cumulative number of Norwegian kroners she has donated increases by 400 kro each month. In which month will Aril's cumulative donation first exceed Dita's cumulative donation?

Question

Amiah

Mathematics

13 July, 01:05

Aril and Dita are wealthy Norwegian business owners who each began making monthly donations to international disaster relief at the same time. Aril donated 150 kr the first month, and the cumulative number of Norwegian kroners she has donated increases by a factor of 2.5 each month. Dita donated 300 kr the first month, and the cumulative number of Norwegian kroners she has donated increases by 400 kro each month. In which month will Aril's cumulative donation first exceed Dita's cumulative donation?

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Cantu · Answer 1

1st month - A:150kr. D:300kr

2nd month - A: 150kr+150kr*2.5=375kr. D:300kr+400kr=700kr.

3rd month - A: 375kr+375kr*2.5=937.5kr. D:700kr+400kr=1100kr.

4th month - A:937.5kr+937.5kr*2.5=2343.75kr. D:1100kr+400kr=1500kr.

April's cumulative donation will after 4 months first exceed Dita's cumulative donation.