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Maths Homework Help

Hi! I've attempted this question quite a few times now and I can't seem to get the answer. Is anyone willing to help?
Sarah invested £12000 in a unit trust five years ago. The value of the unit trust has increased by 7% per annum for each of the last three years. Before this, the price had decreased by 3% per annum.
Calculate the current price of the unit trust. Give your answer to the nearest whole number of pounds.

Reply 1

I'm sure there's an easier way to work it out, but this is what I thought of first. For the first year the 12,000 decreases by 3% so you'd want to take away 3% of 12,000. You'd should have learnt in class that a decrease in 3% is the same as multiplying by 0.97 (if 1 represents 100%, then 0.97 represents 100%-3%) Repeat with your new figure for year 2.
Then for the last 3 years, you'll want to calculate 7% of your new total and add it on. This is the same as multiplying by 1.07 each time.

Hope this helps!

Reply 2

Original post by flaurie
I'm sure there's an easier way to work it out, but this is what I thought of first. For the first year the 12,000 decreases by 3% so you'd want to take away 3% of 12,000. You'd should have learnt in class that a decrease in 3% is the same as multiplying by 0.97 (if 1 represents 100%, then 0.97 represents 100%-3%) Repeat with your new figure for year 2.
Then for the last 3 years, you'll want to calculate 7% of your new total and add it on. This is the same as multiplying by 1.07 each time.

Hope this helps!

Thank you so much! I was struggling with how to work it out because I think I was supposed to put it to the power of something by 1.07 and 1.03 or something like that, but I'll try this method now! Much appreciated!

EDIT: THANK YOU SO MUCH! IT WORKED!!!
(edited 1 year ago)

Reply 3

Original post by mmik_mikaeel
Thank you so much! I was struggling with how to work it out because I think I was supposed to put it to the power of something by 1.07 and 1.03 or something like that, but I'll try this method now! Much appreciated!

EDIT: THANK YOU SO MUCH! IT WORKED!!!

Glad it worked! You're almost there with your thinking about powers too - to do this quicker than working each year out separately, you could also do
12000 x 0.972 x 1.073

Reply 4

Original post by flaurie
Glad it worked! You're almost there with your thinking about powers too - to do this quicker than working each year out separately, you could also do
12000 x 0.972 x 1.073

That's what I would have done

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