Exam Maths Puzzle Co-ordinate geometry

Why is it true that a line perpendicular to y= 4x-3 would have the slope of -1/4??

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I could use your help. There are 24 spooks in the haunted house. The number of scarecrows is equal to the number of witches plus 4. The number of witches is equal to the number of ghosts minus 8. how many witches and ghosts and scarecrows are there?



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Ann Watson has $100,000 that she can deposit in any of three savings accounts for a 3-year period. Bank A compounds interest on an annual basis, bank B compounds interest twice each year, and bank C compounds interest each quarter. All three banks have a stated annual interest rate of 4 percent.

a) What amount would Ms. Watson have at the end of the third year-including interest?

b) What effective interest rate would she earn at each bank?

c) On the basis of your finding in a and b, which bank should Ms. Watson deal with? Why?