Answer:
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 5655
r = 1.4% = 1.4/100 = 0.14,
a) Therefore, the equation that estimates the population t years after 2010 is
A = 5655(1 + 0.14)^t
A = 5655(1.14)^t
b) in 2022, the number of years t = 2022 - 2010 = 12
Therefore,
A = 5655(1.14)^12
A = 27245
The diagonal of a rectangle is:
d ^ 2 = w ^ 2 + l ^ 2
Where,
w: width
l: long
Substituting values we have:
(l + 2) ^ 2 = (l-7) ^ 2 + l ^ 2
Rewriting we have:
l ^ 2 + 4l + 4 = l ^ 2 -14l + 49 + l ^ 2
l ^ 2 -14l + 49 - 4l - 4 = 0
l ^ 2 -18l + 45 = 0
(l-15) (l-3) = 0
The solutions are:
l = 15
l = 3
The viable solution is:
l = 15
Thus, the width is:
w = l-7
w = 15-7
w = 8
Answer:
the dimensions of the rectangle are:
l = 15
w = 8
Answer:
Right 3 and up 5
Step-by-step explanation:
Looking at the the vertex form of a quadratic, y = a(x – h)² + k, we know that,
- A +/- k-value translates the function up or down
- A + h-value translates the function left and a - h-value translates the function right
Our k-value is a positive 5 so that means we must translate the function up 5 units.
Our h-value is a negative 3 so that means we must take the opposite and translate the function right 3 units.
Answer:
y = 2
Step-by-step explanation:
Use the slope formula so y2-y1/x2-x1 = -6/5
so -4 - y / -2 + 7 = -6/5 so y has to be 2 so that -4-2=-6
