Answer
After 13.15 years the population of both towns will become equal.
Step-by-step explanation:
Population of the city Anville is given by using the compound interest formula
The formula of compound interest
A = p( 1+r/n)^n*t
using this we get
P1 = 16000 (1 +
) ^1*t
Population of the city of Brinker will be
P2 = 11000( 1 + 
) ^1*t
now to make equal population in both towns
P1=P2
16000 (1 +) ^1*t = 11000( 1 + ) ^1*t
t = 13.15 years
Answer:
y=(-7x+3)/8
Step-by-step explanation:
8y=-7x+3
y=(-7x+3)/8
178 - (-395)
178 + 395 = 573
the distance between -395 and 178 is 573
hope this helps
A. Yes you are correct that the gradient at any point is 3/(3x-1). However at point P it would be 3/(3*2-1)=2/5
b. The gradient of the normal would therefore be -5/2
We can use the general formula of an equation to get y-ln(5)=-5/2 (x-2)
Now multiply both sides by 2 to get:
2y-2ln(5)=-5x+10
Now when it crosses the x axis we know that y=0 therefore:
5x=10+2ln(5)
Therefore:
x=2+2/5 ln(5) when y=0
You could find an estimate of this number to be 2.64 (3sf) but this might not be sufficient
Answer:
35
Step-by-step explanation:
Here we see 5 black keys for every 7 white keys.
So the ratio is 5:7
If we need 49 white keys, find the amount we scale the original ratio by:
49/7 = 7
So we are scaling by a factor of 7.
The number of black keys would be 5 * the scale of 7. = 35
So there should be 35 black keys.
