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Andrew [12]
3 years ago
15

Explain why the amount of money in the account at the end of t years is given by the formula: P=P0(1+r/n)^nt

Mathematics
1 answer:
miskamm [114]3 years ago
6 0
This is the formula you use for someone investing in money. The formula is actually supposed to be: <em>A</em>=P(1+\frac{r}{n})^{n(t)}.
A is the total amount, P is the principal amount (the initial; original), r is percent (%) rate in decimal form, n is frequency, and t is the amount of years.
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I NEED HELP WITH THIS QUESTION PLEASE
Naddika [18.5K]
From 0 move to left two 1/3, them move to right four 1/3. The answer is 2/3
See the image

3 0
3 years ago
the area of a right triangle is 336 square centimeters. The base of the right triangle is 48 centimeters. What is the length of
Alex73 [517]

Answer:

50 cm

Step-by-step explanation:

So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 =  area. Plugging in the numbers you have, you get:

height*48/2=336

Then, this becomes

height * 24 = 336

Divide both sides by 24

height = 14

Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem: a^{2} +b^{2} =c^{2}

48^{2} +14^{2} =c^{2} \\2304 + 196 = c^{2}\\2500 = c^2\\50 = c\\c = 50

Therefore the length of the hypotenuse is 50 cm

8 0
2 years ago
La cantidad requerida de un producto es de 100 unidades, cuando el precio es de $58 por unidad, y de 200 unidades, cuando el pre
Jobisdone [24]

Answer:

La expresión lineal es; 7y = 6500 - 100x

Step-by-step explanation:

Necesitamos entender que todos los modelos lineales siguen u obedecen la ecuación de una línea recta.

Matemáticamente, la ecuación de una línea recta se puede representar como;

y = mx + c

donde m representa la pendiente de la línea yc representa la intersección en y de la línea.

Para responder adecuadamente a esta pregunta, podemos ver que tenemos dos puntos de trama diferentes. Podemos visualizar nuestro modelo como una gráfica lineal del número de unidades contra el precio. Donde el número de unidades está en el eje y, y el precio está en el eje x.

Verifique el archivo adjunto para ver un diagrama de cómo debe verse la trama.

Ahora, calculemos la pendiente de nuestra línea que tiene 2 puntos en la línea;

(58,100) y (51,200)

Para calcular la pendiente m, podemos usar la relación matemática de la siguiente manera;

m = (y2-y1) / (x2-x1) = (200-100) / (51-58) = -100/7

Ahora tenemos la pendiente pero no tenemos la intersección en y.

Para obtener la intersección con el eje y, utilizamos cualquiera de los dos puntos de datos.

Usaré el segundo;

La ecuación de la línea en ese punto será;

200 = -100 / 7 (51) + c

 Tenemos;

7c = 1400 + 5100

7c = 6500

c = 6500/7

Ahora completemos nuestro modelo lineal ya que ahora tenemos la pendiente y la intersección en y

y = - (100/7) x + 6500/7

7 años = -100x + 6500

o simplemente 7y = 6500-100x

5 0
3 years ago
Miko is packing for a trip. The total weight of her luggage cannot exceed 200 pounds. She has 3 suitcases that weigh 57 pounds e
Fittoniya [83]
200+57+12=962. The finale answer that should be shown is 962.
5 0
2 years ago
Read 2 more answers
Please help me with this.
zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: hypotenuse^2=(leg_1)^2+(leg_2)^2. And the main trigonometric ratios are:

sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}

Finally, you can find the tan (A) since:

tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

7 0
2 years ago
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