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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 be ...
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Answered by Georgios A. • Maths tutor
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Particle A (60kg) moves right at 50m/s. It collides with particle B (250kg) moving left at 10m/s. If after the collision particle A moves left at 20m/s, calculate the final velocity of particle B

First the total initial momentum of the particle system is calculated. Treat right as the positive x-direction and left as the negative x-direction. Then:Total initial momentum (Pi) = Inital momentum of A + ...
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Answered by Oliver L. • Physics tutor
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Distinguish between transfers and transformations using examples from the water cycles

For questions that ask the student to "distinguish" between two different terms, it is effective if they first define each of the terms. For example: Energy transfer is the passing of energy from o...
AJ
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How does the body respond to a decrease or increase in core body temperature?

If the temperature decreases:The blood vessels supplying the skin constrict (vasoconstriction) resulting in less blood flow to the skin surface and hence less energy (by heat) is lost. Hairs stand on end to ...
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Answered by Portia J. • Biology tutor
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I'm struggling with understanding Shakespeare, how can I get around this problem?

Firstly, No Fear Shakespeare is a great place to start. It is a resource where it places the original text next to a translated version to help understand Shakespeare in a modern day context. It is available...
GW
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