Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
y = P(1 + r/n)^nt
Where
y = the value of the investment at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount invested
From the information given,
P = $4700
r = 4.75% = 4.75/100 = 0.0475
n = 1 because it was compounded once in a year.
Therefore, the exponential function showing the relationship between y and t is
y = 4700(1 + 0.0475/1)^1 × t
y = 4700(1.0475)^t
C, adding the lateral surface area to the area of one of the bases.
The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution
Using the substitution method, the solution to the system of linear equations, is: (6, 3).
<h3>System of Linear Equations</h3>
Using substitution method, we can make one of the variables the subject of the formula for one of the equations, then find the other variable by substituting.
Given:
- x + 4y = 18 --> eqn. 1
- y = -x+9 --> eqn. 2.
Substitute y = -x + 9 into equation 1.
x + 4(-x + 9) = 18
x - 4x + 36 = 18
-3x + 36 = 18
-3x = 18 - 36
-3x = -18
x = 6
Substitute x = 6 into equation 2 to find y
y = -6 + 9
y = 3
Therefore, using the substitution method, the solution to the system of linear equations, is: (6, 3).
Learn more about system of linear equations on:
brainly.com/question/11767839
