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avanturin [10]
2 years ago
5

Find the amount and the compound interest on 62500 for1*1/2 years at 8% compounded half-yearly

Mathematics
1 answer:
Anettt [7]2 years ago
3 0

principal (p)=62500,Time (T)=1.5 years,Rate (R)=8% Ammount=p (1+R÷100) =62500 × 1.1664 =72900 again, compound interest = p(1+R÷100)-1=62500×0.1664 = 10400

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Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla
Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

tan(\theta) = \frac{CO}{CA}

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}

Ahora, el ancho del río es:

CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

4 0
2 years ago
Y=2x-2 and 4x+2y=12. solve the equation PLEASE SHOW WORK​
diamong [38]
<h3>The solution as an ordered pair is (x,y) = (2,2)</h3><h3>x = 2 and y = 2 pair up together.</h3>

===============================

Work Shown:

4x+2y = 12

4x+2( y ) = 12

4x+2( 2x-2 ) = 12 ... replace y with 2x-2

4x+2( 2x ) + 2( -2 ) = 12 ... distribution rule

4x+4x-4 = 12

8x-4 = 12

8x-4+4 = 12+4 ... add 4 to both sides

8x = 16

8x/8 = 16/8 ... divide both sides by 8

x = 2 is the first part of the answer

Use x = 2 to find y

y = 2x-2

y = 2(2)-2 ... replace x with 2

y = 4-2

y = 2 is the second part of the answer

8 0
3 years ago
Read 2 more answers
Convert the following percent to a decimal: 56 percent.
mihalych1998 [28]

Answer:

0.56

Step-by-step explanation:

Percent means 'per 100'. So 56% means 56 per 100 or simply 56/100. If you divide 56 by 100, you'll get 0.56.

56/100 = 0.56

5 0
3 years ago
PLEASE HELP
valina [46]

Answer:

each side of the patio measures ft.

5 0
2 years ago
Read 2 more answers
How to get 3.15 ratio
REY [17]

Answer:

Step 1) Convert the 3.15 percent to a decimal number.

To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.

3.15 ÷ 100 = 0.0315

Step 2) Convert the decimal number to a fraction.

To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.

0.0315  =  

   

0.0315

   

1

Step 3) Remove the decimal point in the numerator.

To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.

   

0.0315 × 10000

   

1 × 10000

 =  

   

315

   

10000

Step 4) Simplify the fraction.

The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.

   

315 ÷ 5

   

10000 ÷ 5

 =  

   

63

   

2000

Step 5) Convert the fraction to a ratio.

To convert the fraction to a ratio, replace the fraction divider line with a colon.

   

63

   

2000

 =  63:2000

That was the final step. Below is the answer to 3.15 percent as a ratio.

3.15% = 63:2000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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