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What is compound interest?

Interest is the return you get on savings or an investment. Normal interest is when you earn a fixed percentage amount per year on an initial amount. For example an interest rate of 5% on £100 would give you...
YA
Answered by Yasmin A. • Maths tutor
3379 Views

if f(x) = 4x^2 - 16ln(x-1) - 10, find f'(x) and hence solve the equation f'(x)=0.

f(x) = 4x 2 - 16ln(x-1) -10, f'(x) = 8x - 16/(x-1), so if f'(x)=0, then 8x - 16/(x -1)=0, 8x(x-1) - 16 = 0, 8x 2 - 8x - 16 =0, 8(x 2 - x - 2) = 0, x 2 - x - 2 = 0, (x - 2)(x + 1) =0, so x = 2 and x = -1
EB
Answered by Ellie B. • Maths tutor
3994 Views

You are given a right triangle ABC with angle ABC = 30 degrees and AB equal 7. Then AC and BC are then extended to points D and E so that EDC is a right triangle. Find length DE if BD = 15

First BC needs to be found. That is done by dividing AB by cosin ABC. Then CD is found by subtracting form BD. After that the angle ACB is 90-ABC (because ABC is right triangle). Then because AE and BD inter...
AE
Answered by Andrey E. • Maths tutor
5440 Views

expand and simplify: 5(3a+6b)+ 3(7b+a)

first we expand the equation:(5 3a +5 6b) + (3 7b+3 a)now we multiply15a+30b +21b+3anow simplify18a+51b
MR
Answered by Muzaina R. • Maths tutor
2029 Views

3x+2y=12 ; 5x+3y=19

3x+2y=12 (1) /// 5x+3y=19 (2) /// . (1) x 3---(2) x -2 /// 9x+6y=36///-10x-6y=-38///x+0=-2/// x=2///y=5(2)+3y=19///y=9/3 = 3-///////--> x=2y=3first, we need to make one of the two terms (x or y) of the sa...
MR
Answered by Muzaina R. • Maths tutor
4883 Views