Answer:
12
Step-by-step explanation:
The given geometric series is

We want to determine the first term of this geometric series.
Recall that the explicit formula is

To find the first term, we put n=1 to get:

This gives us:


Therefore the first term is 12
Answer:
use a2+b2=c2 so
Step-by-step explanation:
11(squared)+b(squared)=13(squared)
=121+b2=169
-121. -121
b2= 48
square root 48
Side B= 6.928
and then just round 6.928
hope this helped
A. The linear equation is: y = 60x + 45
B. The graphed equation is shown in the attachment below.
<h3>What is a Linear Equation?</h3>
A linear equation is defined as, y = mx + b, where the initial value = b; unit rate = m; x and y are the variables.
A. In this situation given, we have:
- Total cost = y
- Number of months = x
- Monthly charges = unit rate (m)= $60
- Initial value (b) = $45
Substituting the values into y = mx + b, we would have the equation as:
y = 60x + 45
B. The graph of the equation is shown in the image attached below.
Learn more about linear equation on:
brainly.com/question/15602982
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Let us assume that total amount of Nathan's allowance = x
Amount of money deposited by Nathan into his savings account = 7x/9
Remaining amount that Nathan spent = $2.50
Now we have to get to the equation for solving the question asked.
7x/9 + 2.50 = x
7x + (9 * 2.50) = 9x
7x + 22.50 = 9x
22.50 = 9x - 7x
22.50 =2x
x = 22.50/2
= 11.25
So $11.25 is the total allowance of Nathan.
Then The amount of money deposited by
Nathan in savings account = (7/9) * 11.25
= 78.75/9
= 8.75
So Nathan deposits $8.75 in his savings account.
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