Answer:
Step-by-step explanation:
Given:
To find:
- Summation notation of the given series
Summation Notation:
Where n is the number of terms and 
is general term.
First, determine what kind of series it is, there are two main series that everyone should know:
A series that has common difference.
A series that has common ratio.
If you notice and keep subtracting the next term with previous term:
Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.
Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:
<u>Arithmetic Sequence</u>
Where 
is the nth term, 
is the first term and 
is the common difference:
So for our general term:
And for number of terms, substitute = 251 and solve for n:
Now we can convert the series to summation notation as given the formula above, substitute as we get:
Answer:
copied from InesWalston expert
Money in the bank account after 3 years will be $329.18
Step-by-step explanation:
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year for 3 year, while no money was deposited into or withdrawn from the account.
We know that,
i = p.r.t / 100
Where,
i = interest
P = Principal = $315
r = Rate of interest = 1.5% annual
t = time period = 3 years
Putting the values,
i = 315 × 1.5 × 3 / 100 = $14.18
Total money in bank account = Principal + interest = 315 + 14.18 = $329.18
Answer:
No Solution
Step-by-step explanation:
Expand:
Add 5 to both sides:
Subtract 4x from both sides:
No solution as this is false.
The easiest way to find this answer is to work through it step by step.
She starts with 75 pieces.
She eats 5 pieces, so the # of pieces goes down from 75 to 75-5 = 70.
So she has 70 pieces left to put in the bags.
She puts the same amount in each of 10 bags... so we divide 70 by 10 to find the # of pieces in each bag.
70 divided by 10 is 7.
She put 7 pieces in each bag.
Answer:
Option A. 
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
