First find the rate of growth
45000=18000(1+r)^(2010-2005)
Solve for r
r=((45,000÷18,000)^(1÷5)−1)×100
R=20%
Use it to find the population in 2015
P=45000(1+0.20)^(2015-2010)
P==111,974.4
Answer:
The scale factor is 18 to 1 for the painting
Step-by-step explanation:
Here we want to get the scale factor of the original to what is reproduced
Let us have same units first
Mathematically;
1 foot = 12 inches
3 feet = 36 inches
2 feet = 24 inches
So 36 to 2 and 24 to 1 1/3
That will be ratio 36/2 = 18 to 1
same as 25 divided by 1 1/3 = 18 to 1
Answer:
8:6 and 16:12
Step-by-step explanation:
The perimeter without the diagonal is 4*120 = 480
That covers the outside of the field
The diagonal is 120 *
= 169.7 yd
480 + 169.7 = 649.7 yd total of fencing
Exponential:
It is called the exponential function of base a, to that whose generic form is f (x) = a ^ x, being a positive number other than 1.
Every exponential function of the form f (x) = a^x, complies with the followingProperties:
1. The function applied to the zero value is always equal to 1: f (0) = a ^ 0 = 1
2. The exponential function of 1 is always equal to the base: f (1) = a ^ 1 = a.
3. The exponential function of a sum of values is equal to the product of the application of said function on each value separately.
f (m + n) = a ^ (m + n) = a ^ m · a ^ n
= f (m) · f (n).
4. The exponential function of a subtraction is equal to the quotient of its application to the minuend divided by the application to the subtrahend:
f (p - q) = a ^ (p - q) = a ^ p / a ^ q
Logarithm:
In the loga (b), a is called the base of the logarithm and b is called an argument, with a and b positive.
Therefore, the definition of logarithm is:
loga b = n ---> a ^ n = b (a> 0, b> 0)