Answer:
$5 + 2.50k ≤ $20
6 kilometers
Step-by-step explanation:
Puedes viajar con $15 porque gastaste 5 en la tarifa base. 15 dividido por 2,5 es 6, por lo que puedes viajar 6 kilómetros con $20.
The register contains 8 number of $20 bills and 13 number of $100 bills.
<h3>What is termed as the linear equation in two variables?</h3>
- A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.
Let 'x' be the of $20 bills.
Let 'y' be of $100 bills.
Total bill = 21
x+y = 21
y = -x+21 ......eq1
Now,
Total price = $1460.
20x + 100y = 1460
Put value of y from eq 1.
20x + 100(-x+21) = 1460
20x-100x+2100=1460
-80x=-640
x=8 (Number of $20 bill)
And,
-8+21=13
y=13 (Number of $100 bills)
Thus, the register contains 8 number of $20 bills and 13 number of $100 bills.
To know more about linear equation, here
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The complete question is-
A cash register contains $20 bills and $100 bills with a total value of $1460. If there are 21 bills total, then how many of each does the register contain?
Step-by-step explanation:
∑ₙ₌₀°° n! xⁿ
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[(n+1)! xⁿ⁺¹] / (n! xⁿ)│
L = lim(n→∞)│[(n+1)! / n!] (xⁿ⁺¹ / xⁿ)│
L = lim(n→∞)│(n+1) x│
L = ∞
The series is divergent for all values of x.
∑ₙ₌₀°° xⁿ / n!
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] / (xⁿ / n!)│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] (n! / xⁿ)│
L = lim(n→∞)│(xⁿ⁺¹ / xⁿ) [n! / (n+1)!]│
L = lim(n→∞)│x / (n+1)│
L = 0
The series is convergent for all values of x.
The range is the difference between the largest and the smallest values.
largest value = 14
smallest value = 8
14 - 8 = 6
6 is your range.
