Answer:
11.15 eleven dollars and 5 cents.
Step-by-step explanation:
A(n)=4+4(n-1)
a(n)=4+4n-4
a(n)=4n
76=4n
n=19
The sum of any arithmetic sequence (series are infinite) is:
(a+a(n))(n/2)
The average of the first and last terms times the number of terms, in this case we found that n=19 so:
19(4+76)/2=760
Answer:
second
Step-by-step explanation:
Δ=3²-4*1*4=9-16=-7
Answer:
The gradient of the graph below is 
Step-by-step explanation:
We need to calculate the gradient of the graph
The gradient of graph is actually slope of the graph.
The slope of graph can be calculated using formula: 
Taking any 2 points on graph i.e
(1,0) and (-1,-3)
We have 
Putting values and finding gradient:
So, The gradient of the graph below is
Okay so to start this problem we will calculate the amount due after the first month.
$1,200 x .145 = 174 <--- This is going to be the applied interest for the first and second payment.
Add 1,200 + 174 = 1374
Now, going into the second month the total amount left should be 2,187.90 because 3,387.90 - 1,200 = 2,187.90
We are going to have to take 1,200 for the second monthly payment. So now the total left to pay should be $987.90.
Let us calculate the actual amount of the second payment now. The added interest rate is going to be the same as the first month so once again we will pay $1374.00 this month.
The new amount paid = 1374+1374 = $2748.00
So we are going to setting up a new equation for this month since we don't have $1,200 to calculate with.
The new total due is 987.90. 987.90 x .145 = $<span>143.25
</span>So, 987.90 + 143.25 = $<span>1,131.15
</span>We are going to add up all the monthly payments with interest to calculate the total cost.
$2748.00 + 1,131.15 = $<span>3879.15
</span>
It takes 3 months to pay off the card.
The total amount paid is $<span>3879.15.
</span>
I hope this helped!
