Top:
x / (x + 1) - 1 / x
= [x^2 - (x +1)] / x(x+1)
= (x^2 - x - 1 ) / x (x+1)
Bottom:
x / (x + 1) + 1 / x
= [x^2 + (x +1)] / x(x+1)
= (x^2 + x + 1 ) / x (x+1)
Now you have:
(x^2 - x - 1 ) / x (x+1)
----------------------------
(x^2 + x + 1 ) / x (x+1)
= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )
= (x^2 - x - 1 ) /(x^2 + x + 1 )
Answer:
x^2 - x - 1
---------------------
x^2 + x + 1
Answer:
We choose B. (1, 10)
Step-by-step explanation:
Given the exponential model in the form y = a
- passes through the points (2, 50)
<=> 50 = a
<=> a = (1)
- passes through the points (3, 250)
<=> 250 = a (2)
Substitute (1) into (2) we have:
250 =
<=> 50b = 250
<=> b = 5
=> a = = 2
Hence, our exponential model is: y =2*
Let analyse all possible answer:
A. (0, 5) we have: y =2* ≠ 5 so it is wrong
B. (1, 10) we have: y = 2* so it is true
C. (4, 450) we have: y = 2* ≠ 450 so it is wrong
D. (5, 650) we have: y = 2* ≠ 650 so it is wrong
Hence we choose B. (1, 10)
Answer:
Percent
Step-by-step explanation:
the amount of decrease divided by the original amount times 100 equals <u><em>percent of decrease</em></u>
Answer:
$1545.65.
Step-by-step explanation:
We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.
To solve our given problem we will use compound interest formula.
, where,
A = Final amount after t years,
P = Principal amount,
r = Interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Let us convert our given interest rate in decimal form.
Upon substituting our given values in compound interest formula we will get,
≈ $
Therefore, Victor will owe an amount of $1545.65 after one year.
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