Answer:
if the terms are approaching zero then it is convergent.
Therefore the stated series is convergent
Step-by-step explanation:
9514 1404 393
Answer:
x -y = -5
3x +y = -11
Step-by-step explanation:
We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -1 = +1(x +4)
y -1 = -3(x +4)
We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.
<u>First equation</u>:
y -1 = x +4 . . . . . . eliminate parentheses
-5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant
x - y = -5 . . . . . . standard form
<u>Second equation</u>:
y -1 = -3x -12 . . . . eliminate parentheses
3x +y = -11 . . . . . . add 3x+1 to both sides
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A system of equations with solution (-4, 1) is ...
Answer:
<u>The balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years was $ 1,462.50</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Initial deposit = $ 1,250
Interest rate = 4.25% annual simple = 0.0425
Time of investment = 4 years
2. What was the balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years?
Let's recall the simple interest formula, as follows:
A = P * (1 + rt), where:
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the values we know:
A = P * (1 + rt)
A = 1,250 * (1 + 4 * 0.0425)
A = 1,250 * 1.17
A = 1,462.50
<u>The balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years was $ 1,462.50</u>
Answer:
Lines 3 and 4
Step-by-step explanation:
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