Answer:
5m•5m•5m
Step-by-step explanation:
You are multiply the factor by itself as many times as the exponent says. so if the factor is 5m, you would multiply it by itself by the exponent, which in our case is 3.
Answer:
30 degrees
Step-by-step explanation:
Because lines AB and CD are parallel, the angle rules such as same side interior angles, or opposite side exterior angles. Angle 4 and angle 8 are corresponding angles, which means that these angles are congruent. That means that measure of angle 8 would be 30 degrees.
Answer:
y = (-3/4)x - 5
Step-by-step explanation:
The general form of the slope-intercept equatin of a straight line is
y = mx + b, where m is the slope and b is the y-intercept.
Substituting -3/4 for m and -5 for b, we get:
y = (-3/4)x - 5
The points: (0,4), (1,8),(2,10) is NOT a linear function as it doesnt pass the verticle line test. Linear function should always be in a straight line. Examples of linear functions: 4x + 3y = 6. Examples of nonlinear functions: y = 8x^2 + 10.
<h3>
Answer: Approximately 6.58 years old</h3>
The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.
==================================================
Explanation:
Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.
So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.
The value of r is r = 0.10 as its the decimal form of 10%
t is the unknown number of years we want to solve for
---------------------------
y = A(1 - r)^t
500 = 1000(1 - 0.1)^t
500 = 1000(0.9)^t
1000(0.9)^t = 500
0.9^t = 500/1000
0.9^t = 0.5
log( 0.9^t ) = log( 0.5 )
t*log( 0.9 ) = log( 0.5 )
t = log( 0.5 )/log( 0.9 )
t = 6.57881347896059
Note the use of logs to help us isolate the exponent.
