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Tpy6a [65]
3 years ago
8

A payday loan company makes loans between $100 and $1000 available to customers. Every 14 days, customers are charged 30% intere

st with compounding. In 2013, Remi took out a $300 payday loan. Which expression can be used to calculate the amount she would owe, in dollars, after one year if she did not make payments?
Mathematics
1 answer:
hoa [83]3 years ago
7 0

Answer:

The expression that can be used to calculate the amount she would owe, in dollars, after one year if she did not make payments is 300 * (1.30)^(365 / 14).

Step-by-step explanation:

Since Remi did not make payments after one year, the expression that can be used to calculate the amount she would owe, in dollars, can be obtained using the following formula:

M = P * (1 + r)^(N / n) ....................... (1)

M = The dollar amount Remi would owe after one year if she did not make payments = ?

P = Principal or the amount borrowed = $300

r = interest rate = 30% or 0.30

N = number of days in a year = 365

n = number of days after which the interest is charged = 14

Substituting the values into equation (1), we have:

M = 300 * (1 + 0.30)^(365 / 14)

M = 300 * (1.30)^(365 / 14)

Therefore, the expression that can be used to calculate the amount she would owe, in dollars, after one year if she did not make payments is 300 * (1.30)^(365 / 14).

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dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

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