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3 years ago

According to the rule of 72, in about how many years will $80 be worth $40 if

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

3 0

Answer:

24 Years

Step-by-step explanation:

Rule of 72 is an approximation that you can use to estimate the time it will take for something to double in value at a compound rate of interest

use the following equation

72/(i*100)

we have

72/(.03*100)

72/3=24

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Pleaseeeeeee help mee

BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

2 years ago

HELP MEEEEEE PLSSSSS

frutty [35]

Answer:

Step-by-step explanation:

If you measure the cubes inside for the length, width and height, you get:

Length - 5 cubes

Width -5 cubes

Height - 3 cubes

The volume of the prism is 5 * 5 * 3 = 75. This means the prism can hold a total of 75 cubes

The amount of cubes already in there is 11

so 75 - 11= 64

5 0

3 years ago

Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are ran

Mademuasel [1]

Answer:

Step-by-step explanation:

Z = (x-µ)/(s/√n)=(98.5-98.2)/(0.62/√19) = 2.11

left tail p-value = 0.9826

so 98.26% are lower.

4 0

3 years ago

Read 2 more answers

Use the midpoint formula to find the midpoint between H(3, 9) and J(9, -2).

TiliK225 [7]

Hello!

The midpoint formula is basically an average of x and y.

It is also written as: $(\frac{x_{1}+x_{2}} {2},\frac{y_{1}+ y_{2}} {2})$ .

With the formula above, we can substitute the given points into the equation, and simplify.

$(\frac{3 +9}{2}, \frac{9+(-2)}{2}) = (\frac{12}{2}, \frac{7}{2}) = (6, 3.5)$

Therefore, the midpoint between points H and J is choice D, (6, 3.5).

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3 years ago

Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?

Grace [21]

It’s c (plane) if your asking for two-dimensional set of points

8 0

3 years ago