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saw5 [17]
3 years ago
9

Find the balance on a deposit of $455 that earns 4% interest compounded annually for 2 years. $36.40 $491.40 $492.13 $819

Mathematics
2 answers:
STatiana [176]3 years ago
5 0
A=P(1+ \frac{r}{n})^{tn}
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years

given
P=455
r=4%=0.04
n=1
t=2

A=455(1+ \frac{0.04}{1})^{(2)(1)}
A=455(1+ 0.04)^{2}
A=455(1.04)^{2}
A=492.128
round
$492.13
3rd option
Elodia [21]3 years ago
5 0
The answer is $492.13
Multiply 455 x .04
Then, add that answer(18.2) to 455
Then, use that sum(473.2) and multiply it by .04
Then, add that(18.928) to to your first answer(473.2) for the final answer which is 492.128 which is rounded to $492.13
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Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada
oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

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3 years ago
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