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You deposit 500 pounds at time t=0. At t=5 years, you have 800 pounds. The amount of money you have in the bank can be modeled as V(t)=A*(1+r)^t, where r is the interest rate. Find A and the interest rate r. After how many years will you have 1200 pounds.

At t=0, you deposit 500 pounds in the bank account: V(0)=500=A. At t=5, that amount of money is now, V(5)=800=500*(1+r)^5 i.e. 1+r = 1.6^(1/5) = 1.0986 (4dp) So the interest rate r is 9.86% (3 s.f.)Let T ...

Answered by Georgios A. • Maths tutor

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Solve the inequality (9x+5)/12 > (4x+1)/3

(9x+5)/12 > (4x+1)/3**** Multiply up the denominator terms 3(9x+5) > 12(4x+1)* As 3 is a factor of 12, divide both sides by 39x+5 > 4

Answered by Frances M. • Maths tutor

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Given y= sqrt(x) + 4/sqrt(x) + 4 , find dy/dx when x=8 giving your answer in form Asqrt(2) where A is a rational number.
Read and understand the questionRe-write in easier form to be able to differentiateDifferentiate and sub in value for xSimplifyMake sure we answer the question

Answered by Corey M. • Maths tutor
5291 Views

Find all possible values of θ for tan θ = 2 sin θ with the range 0◦ ≤ θ ≤ 360◦
First you rearrange the equation.It is known that tanθ=sinθ/cosθ therefore if we replace tanθ with sin/cos we get:sinθ/cosθ=2sinθIf you multiply both sides by cosθ this becomes:sinθ=2sinθcosθThen if you m...
Answered by Kehinde L. • Maths tutor
8625 Views

Find ∫ (2x^5 - 1/(4x^3)-5) dx. giving each term in its simplest form.
with integration you need to increase the power and divide through by the new power for each term in the equation.2x⁵ goes to 2x⁶/6 = x⁶/3-1/(4x³) is equal to -...
Answered by Kieran Y. • Maths tutor
5214 Views

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You deposit 500 pounds at time t=0. At t=5 years, you have 800 pounds. The amount of money you have in the bank can be modeled as V(t)=A*(1+r)^t, where r is the interest rate. Find A and the interest rate r. After how many years will you have 1200 pounds.

Solve the inequality (9x+5)/12 > (4x+1)/3

Given y= sqrt(x) + 4/sqrt(x) + 4 , find dy/dx when x=8 giving your answer in form Asqrt(2) where A is a rational number.

Find all possible values of θ for tan θ = 2 sin θ with the range 0◦ ≤ θ ≤ 360◦

Find ∫ (2x^5 - 1/(4x^3)-5) dx. giving each term in its simplest form.

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