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Susan is researching the population growth of a city. She proposes that x, the number of people in the city, t years after 2017 is given by x=250,000e^(0.012t) A.population in 2017 B.population in 2020 C.During which year would the population have doubled

A. t=0 ; x=250,000 B. 2020, so t=3. plug in to equation > x=250,000e^(0.012)3 = 259,163 (people so cannot round up) C. Population to double so 500,000 = 250,000e^(0.012)t -> 1/0.012(ln2) = t t= 57.7...

JG
Answered by James G. Maths tutor
4077 Views

write ( 4 x 10^-3) x ( 9 x 10^14) in standard form

the first thing we need to do is rearrange the order of our question to ( 4 x 9 ) x (10^-3 x 10^14). now (4 x 9) = 36 (10^-3 x 10^14) = 10^(-3 + 14) = 10^11 so our answer is 36 x 10^11 however this is not...

SS
Answered by Sam S. Maths tutor
10744 Views

Find an equation of the circle with centre C(5, -3) that passes through the point A(-2, 1) in the form (x-a)^2 + (y-b)^2 = k

step 1 remember than the a and b terms locate the centre of the circle on the axis so we can substitute in the centre values for a and b. (x-5)^2 + (y-(-3))^2 = k. (x-5)^2 + (y+3)^2 = k.

Step 2. k ...

TW
Answered by Tim W. Maths tutor
4687 Views

How would you solve a simultaneous equation?

Solving a pair of simultaneous equations should ALWAYS begin in labelling each equation. I would go about labelling the first equation (1) and the second (2). A quadratic simulataneous equation question i...

DB
Answered by Declan B. Maths tutor
3495 Views

Given that y = 5x^(3) + 7x + 3, find dy/dx

(i): 15x^(2)+7 --- in order to arrive at this answer, we can divide the equation into 3 separate parts: 5x^(3) and 7x and 3. For the first part, you would multiply the first number, 5 by the power, in thi...

AP
Answered by Angela P. Maths tutor
6964 Views

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