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3 years ago

Approximately how many years will it take $3000 to double if it is invested in an account that pays 3%

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

Answer:

24 years

Step-by-step explanation:

Total = start*(1 + interest rate / amount of times compounded per month)^(years*amount of compounds per year)

6000 = 3000*(1+0.03/4)^(4x)

6000 = 3000* ((403/400)^4)^x

2 = ((403/400)^4)^x

x = log base-((403/400)^4) of 2 = x

x = 23.19

rounding down 23 years (but you probably want a year over that to get at least 6000, so 24)

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If the coordinate of A is (0,-2) and the coordinate of B is (10,-6), then the midpoint of AB is (______).

balu736 [363]

Answer:

5, -4

Step-by-step explanation:

midpoint = x1 + x2/2 ,y1 + y2/2

= 0 + 10 /2 , -2 + -6/2

= 10/2 , -8/2

midpoint = 5, -4

4 0

3 years ago

Find the following equation

adoni [48]

Answer:

$y=\frac{-1}{2}x+7$

Step-by-step explanation:

Slope intercept form: $y=mx+b$ when $m$ is the slope of the line and $b$ is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

1) Find the slope ( $m$ )

$m=\frac{y_2-y_1}{x_2-x_1}$ when the points are $(x_1,y_1)$ and $(x_2,y_2)$

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

$m=\frac{0-7}{14-0}\\m=\frac{-7}{14}$

Simplify the fraction

$m=\frac{-1}{2}$

So far, our equation looks like this:

$y=\frac{-1}{2}x+b$

2) Find the y-intercept ( $b$ )

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, $b=7$ .

Now, this is our final equation after plugging in $m$ and $b$ :

$y=\frac{-1}{2}x+7$

I hope this helps!

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3 years ago

What is the gcf of 18 and 42!!?

nadya68 [22]

The gcf of 18 and 42 is the largest positive integer that divides the numbers 18 and 42 without a remainder. Spelled out, it is the greatest common factor of 18 and 42. Here you can find the gcf of 18 and 42, along with a total of three methods for computing it.

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3 years ago

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zubka84 [21]

Jonna can make 12 servings because 1/4 plus 1/2 equals 3/4 which is equal to 12/16.

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3 years ago

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alexira [117]

Answer:

(

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(

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(

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Step-by-step explanation:

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3 years ago