This is the concept of sequences and series. The formula for geometric sequence is:
an=ar^(n-1)
where:
an=nth term
a=first term
r=common ratio
n=number of terms
thus the formula for the price of food in year n, that has initial price of $3.20 and it is growing at a constant rate of 4% will be given by:
a=$3.20
r=4/100=0.04
hence:
an=3.20(1+0.04)^n
an=3.20(1.04)^n
The answer is an=3.20(1.04)^n
Answer:
3532.59341
Step-by-step explanation:
P= 2150
r= 3.315%
n= 12
t= 15
10/14 = 5/7.
5/7 is your answer. Divide both the numerator and the denominator by a number that they both have in common - 2.
(3, -2)
Step-by-step explanation:
y = -2x + 4
-x + 3y = -9
-x + 3 (-2x + 4) = -9
-x + -6x + 12 = -9
-7x = - 9 – 12
-7x = - 21
X = 3
We substitute x with 3 to evaluate y;
-3 + 3y = -9
3y = -6
y = -2
Elimination Method;
y = -2x + 4
-x + 3y = -9
We arrange the equations for substitution;
2x + y = 4
-x + 3y = -9
We multiply the first equation with 3 so we can substract one variable to zero;
3 (2x + y = 4)
= 6x + 3y = 12
Then we subtract the two;
6x + 3y = 12
-x + 3y = -9
7x = 21
x = 3
We evaluate y by substitution x with 3 in one of the equation;
-x + 3y = -9
-3 + 3y = -9
3y = -6
y = -2
The final answer expressed as a coordinate point is;
(3, -2)