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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 ...

GA
Answered by Georgios A. • Maths tutor
3303 Views

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...

OL
Answered by Oliver L. • Physics tutor
1965 Views

A body with speed v is projected from the surface of the earth(mass M & radius R). Find the maximum distance from the earth that this body reaches before returning back to earth, as a function of the initial speed v, M, R and the gravitational constant G

This question tests the students' understanding on conservation of energy, gravitational potential and algebraic manipulation.The first step is identifying that the principle to use is the conservation of...

CV
1754 Views

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

FM
Answered by Frances M. • Maths tutor
3738 Views

When should the animate accusative case be used in Russian?

When declining an object to a verb which usually takes the accusative but the object is alive (eg. human/animal). If this object is feminine, the animate accusative is simply the accusative.

ZH
Answered by Zakary H. • Russian tutor
1348 Views

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