For continuously compounded interest:
Amount = Principle * e^(rate * time)
A rate of 8% converted to a decimal value: r=0.08
With time t=4
and amount 1190
Plug all these values in,
1190 = Principle * e^(0.08 * 4)
And use your calculator to solve for the principle.
Maybe we'll call it P to make things easier.
1190 = P * e^(0.08 * 4)
1190 = P * 1.377
The principle is being multiplied by this 1.377,
divide by 1.377 to undo the multiplication.
864.11735 = P
Gina 2.5 * 1.38 = $3.45
Amy 3.5 * .98 = $3.43
Gina spent more money by .02
50mph
Step-by-step explanation:
The image of the motion of Paul's derive is attached already.
From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.
What is average speed?
Average speed is the rate of change of total distance covered with time taken .
Average speed = 
To find the total distance covered;
Distance at time 1 = 75miles
Distance at time 4 = 225miles
Distance covered between 1 - 4 = 225 - 75 = 150miles
Time taken for the journey = 4 - 1 = 3hrs
Input the values in the equation;
Average speed = 
= 50mph
learn more:
Speed and motion brainly.com/question/10048445
#learnwithBrainly
Essentially, the rule goes as so: odd + odd = even, even + even = even.
Although that may not be the answer you're looking for, it is a math rule that is never debunked and essentially the premises for why you get an even sum practically always depending on the numbers.
Hope this helps!
The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
<h3>What is the Equation of a Linear Function?</h3>
Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
Learn more about equation of linear function on:
brainly.com/question/15602982
