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Frank owns an ice cream van. When he bought the van five years ago and an ice cream cost £1.50. If the price of an ice cream increases by 3% a year how much does an ice cream cost now?

new amount = old amount * (1 + interest)^(number of times interest has occured) new amount = 1.50 * (1 + 0.03)^5 = £1.74 (rounded to 2 decimal places)
TN
Answered by Thomas N. • Maths tutor
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Differentiate y = x^3 + 2x^2 + 4x + 7

To differentiate you bring the power down and multiply it by any coefficients (numbers in front of the xs) then subtract one from the power So x 3 becomes 3x 2 2x 2 becomes 2*2x 2-1 = 4x 4x becomes 4*1x 1-1 ...
CS
Answered by Courtney S. • Maths tutor
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SV
Answered by Sarah V. • Maths tutor
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What is the indefinite integral of (x^4)*(-sin(x)) dx

Use integration by parts. Let u = x^4 and let dv/dx = -sin(x). Find du/dx = 4x^3 and fin v = cos(x). Use the equation uv - int (v du/dx) = x^4 cos(x) - 4((x^4/4)*(sin(x)) = x^4 cos(x) - x^4 sin(x) = x^4 (cos...
SA
Answered by Sarah A. • Maths tutor
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(a) Factorisefully 3a3b+12a2b2 +9a5b3

3a^2b(a + 4b + 3a^3b^2 )
CM
Answered by Claudia M. • Maths tutor
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