The 27th term is $173.
In an arithmetic progression the difference between the two consecutive terms is same.
Here it is given that the first term of the AP which is represented by a is $17.
And Max adds $6 after every week in his fund so the common difference d is $6.
We know the general expression to find the nth term of an AP is
= a+(n-1)d
Here we have to find the 27th term. so the value of n will be 27.
Now the 27th term of the AP = 17+(27-1)6
= 17+156
= $ 173
The balance in the fund after 27th week will be $173.
To learn more about AP visit the link:
brainly.com/question/12797734
#SPJ9
Answer:
- boat: 16 mph
- current: 4 mph
Step-by-step explanation:
speed = distance / time
The rate downriver is (60 mi)/(3 h) = 20 mi/h.
The rate upriver is (60 mi)/(5 h) = 12 mi/h.
The rate of the boat in still water is the average of these:
(20 +12)/2 mi/h = 16 mi/h
The rate of the current is the difference between the boat speed and actual speed:
16 mi/h - 12 mi/h = 4 mi/h
The annual income tax paid by the person is: $4,500.
<h3>Annual income tax</h3>
Using this formula
Annual income tax=[Salary÷(1-percentage deduction)]- Salary
Let plug in the formula
Annual income tax=[40,500÷(1-10%)]-40,500
Annual income tax=45,000-40,500
Annual income tax=4500
Therefore the annual income tax paid by the person is: $4,500.
Learn more about annual income tax here:brainly.com/question/26316390
#SPJ1
Answer:
(-3, 1).
Step-by-step explanation:
2x + 7y = 1 -------------(A)
x + 5y = 2 Multiply this by -2:
-2x - 10y = -4 Add this equation to equation (A):
0 - 3y = -3
3y = 3
y = 1.
Substitute this in equation (A):
2x + 7(1) = 1
2x = -6
x = -3.
Check if these 2 values are correct in the second equation:
-3 + 5(1) = 2
2 = 2.
