Answer:
Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because 
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that 
, or equivalently, 
and 
.
If and , we just need to substitute known values and solve for k:
Double checking that k works for the y-coordinates as well:
? 
So, 
Answer:
a. The initial amount of money that was left in this savings account was of 5000.
b. Decrease of 2% each year.
Step-by-step explanation:
Exponential function:
An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:
In this question, we have:
a. What was the initial amount of money that was left in this savings account?
This is y(0) = 5000
The initial amount of money that was left in this savings account was of 5000.
b. What is the percent of change each year in this savings account?
First as a decimal.
1 - r = 0.98
r = 1 - 0.98
r = 0.02
So a decrease of 2% each year.
Answer:
48
Step-by-step explanation:
Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48
It’s y=6x-4y=6x-4y because equals 6
Answer:
It would last for 3.2 days.
Step-by-step explanation:
100 men = 8 days
10 men = 0.8 days
60 men = 0.8 x 6 = 4.8 days
Now you subtract the days of 100 men and 60 men
8 - 4.8 = 3.2 days
Hope this helps!
