Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
Future value, A = $642
Answer:
Speed of car is 78 mph which travels the distance in 6 seconds.
Step-by-step explanation:
Given:
Speed of the car R = 52 mph
Time t = 9 seconds
We need to find the speed of a car that travels the given distance in 6 seconds.
Now first we will find the distance traveled by the car in 9 seconds.
Distance can be calculated by multiplying speed and time.
Distance = 
Hence Total distance travel by car is 468 miles.
Now we will find the speed of a car that travels the given distance in 6 seconds.
Speed can be calculate by dividing Distance by time.
Hence;
Speed = 
Hence Speed of car is 78 mph which travels the distance in 6 seconds.
Answer: An opposite definition would be "A shape with a set of points that DOES NOT have the same distance from a given point."
Step-by-step explanation: No need for step-by-step explanations.
Hey!
So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).
Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.
5 = -(4/3)(-3) + b
5 = 4 + b
1 = b
Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:
y = -(4/3)x + 1