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3 years ago

How long will it take for an investment of $2000 to double in value if the interest rate is 7.25%

Mathematics

1 answer:

lesya692 [45]3 years ago

3 0

Answer:

t = ln2/0.075

t = 9.24 years.

hope this helps

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

3 years ago

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Find the volume of a cylinder with a diameter of 10 inches and height of 20in

weqwewe [10]

Answer:

V = 500 pi in^3

or approximately 1570 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The diameter is 10. so the radius is d/2 = 10/2 =5

V = pi (5)^2 * 20

V = pi *25*20

V = 500 pi in^3

We can approximate pi by 3.14

V = 3.14 * 500

V = 1570 in ^3

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3 years ago

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42 decreased by the product of 12 and a number is 6.

levacccp [35]

42 - 12x = 6
Solve for 6

12x = 36

x = 3

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3 years ago

Which types of triangles can be formed by taking the cross section of a rectangular prism lowly eh one shown above

kolezko [41]

I think the answer is a

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4 years ago

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Solve the system of linea<br> 1. y=x<br> y=2x - 11

aksik [14]

$\left \{ {{y=x} \atop {y=2x-11}} \right. \\x=2x-11\\x=11\\\\y=x\\y=11\\\\\\Answer: (11;11)$

P.S. Hello from Russia :^)

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3 years ago