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exis [7]
3 years ago
5

With the given information, write the equation for the line in slope intercept form. (-2, 1) (2, -2)

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Slope:

-2-1/2-(-2)=

-3/4

Slope intercept form:

y-1=-3/4(x-(-2))=

y-1=-3/4(x+2)


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Suppose you invest $50 a month in an annuity that earns 4% APR compounded monthly. How much money will you have in this account
skelet666 [1.2K]
To solve this we are going to use formula for the future value of an ordinary annuity: FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic payment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the number of years

We know from our problem that the periodic payment is $50 and the number of years is 3, so P=50 and t=3. To convert the interest rate to decimal form, we are going to divide the rate by 100%
r= \frac{4}{100}
r=0.04
Since the interest is compounded monthly, it is compounded 12 times per year; therefore, n=12.
Lets replace the values in our formula:
FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]
FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]
FV=1909.08

We can conclude that after 3 years you will have $1909.08 in your account.
4 0
3 years ago
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A triangular playground has angles with measures in ratio 8: 3: 9 what is the measure of the smallest angle
maria [59]
8x + 3× + 9x = 180

20x = 180
x = 180/20
x = 9

The smallest angle is: 3×9 = 27 degrees

Note: 180 degrees is the sum of angles in a triangle
7 0
3 years ago
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Si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a: * 1 punto 6 4 -2 -6
swat32

Answer:

4

Step-by-step explanation:

Para empezar el maximo común divisor (MCD) de dos números se refiere al número en común que tienen ambos números, entre los cuales pueden ser divididos. En el caso del máximo se refiere al número más alto posible en que ambos números pueden ser divididos.

Para poder saber esto, es necesario anotar los factores en los cuales pueden ser divididos ambos números. Sin embargo, ya que son cantidades altas, puede tomar mucho tiempo determinar esto, por lo tanto nos vamos a la respuesta final.

Sabemos que el MCD de 132 y 6432 es disminuido en 8 unidades, es decir, se le resta 8 al MCD de esos números, y ese número debe coincidir con alguna de las opciones puesta ahí. Por lo tanto, lo que vamos a hacer para resolverlo rápidamente es sumarle 8 a cada una de las opciones y luego, verificaremos si el número obtenido es divisor de 132 y 6432.

<u>Obtención del MCD original:</u>

a) 6 + 8 = 14

b) 4 + 8 = 12

c) 2 + 8 = 6

d) 6 + 8 = 2

Con estos resultados, veamos cual de ellos es el MCD de 132 y 6432.

<u>Para el 6432:</u>

6432 / 2 = 3216

6432 / 6 = 1072

6432 / 12 = 536

6432 / 14 = 459,24

Podemos observar con estos resultados que el 14 queda descartado al tener un resultado decimal, por lo tanto debe ser 2, 6 o 12. Veamos la cuenta con el 132:

<u>Para el 132:</u>

132 / 2 = 66

132 / 6 = 22

132 / 12 = 11

Podemos observar ahora en este caso que el 132 es divisible entre 12, por lo tanto, es el MCD entre 132 y 6432, asi que se concluye que el resultado de disminuir por 8 el MCD de ambos números es:

<h2>12 - 8 = 4</h2>

Exitos

8 0
3 years ago
Bella wants to find 48/6 what is a number sentence can solve her problem
hammer [34]
Dear Bessie11, a number sentence you can use is 48÷6=8.
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Solve for s<br><br> 1/3 s = 7
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Answer:

21

\frac{1}{3} s = 7 \\ s = 7 \times 3 \\ s = 21

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