Answer:
and $475 deposited into the account on her birthdays by her 18th birthday.
Step-by-step explanation:
It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.
Initial term : ![a_1=50](https://tex.z-dn.net/?f=a_1%3D50)
On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.
Common difference : ![d=25](https://tex.z-dn.net/?f=d%3D25)
It forms an AP: 50,75,100,...
nth term of an AP is
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
Substitute
and
in the above formula.
![a_n=50+(n-1)25](https://tex.z-dn.net/?f=a_n%3D50%2B%28n-1%2925)
It represents the amount deposited into the account after n birthdays.
We need to find the amount by her 18th birthday.
Put n=18 in the above equation.
![a_{18}=50+(18-1)25](https://tex.z-dn.net/?f=a_%7B18%7D%3D50%2B%2818-1%2925)
![a_{18}=50+(17)25](https://tex.z-dn.net/?f=a_%7B18%7D%3D50%2B%2817%2925)
![a_{18}=50+425](https://tex.z-dn.net/?f=a_%7B18%7D%3D50%2B425)
![a_{18}=475](https://tex.z-dn.net/?f=a_%7B18%7D%3D475)
Therefore, $475 deposited into the account on her birthdays by her 18th birthday.
The lines are neither parallel nor perpendicular
<h3>How to determine the relationship between the lines?</h3>
The equations of the lines are given as
3 x minus y equals 5
3 y equals x minus 15
Rewrite the equations properly
3x - y = 5
3y = x - 15
Make y the subject in both equations
In 3x - y = 5, we have
y = 3x + 5
In 3y = x - 15, we have
y = 1/3x - 5
The slopes of the two lines are
m1 = 3
m2 = 1/3
The above values are not equal, and they are not opposite reciprocal
This means that the lines are neither parallel nor perpendicular
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
The y intercept will be 0
The mechanical advantage is the ratio of the radii: 5/0.5=10.
Answer:
Answer:
Step-by-step explanation:
Since the product of the intersecting chords should be equal
==> AM x BM = CM x DM
==> 4 x 5 = CM x DM
==> 20 = CM x DM
Therefore CM x DM = 2 X 10
Step-by-step explanation: