$5,000 is invested at 3% interest. How much money must be invested at 5% interest so that the total interest from the two investments is $275 after one year?

Answers

Answer 1

Answer: $Part \ of\ 5000\ should\ be\ invested\ at\ 3\%\ and\ part\ at\ 5\%.\n\n x-\ part\ of\ 5000\ invested\ at \3\%\nx*3\%+(5000-x)*5\%=275\n 0,03x+0,05(5000-x)=275\n 0,03x+0,05*5000-0,05x=275\n -0,02x=275-250\n -0,02x=-25\ |:-0,2\n\ x=125\n 5000-125=4875\n 125 \$\ should\ be\ at\ 3\%\ and\ 4875\ at \ 5\%.$

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What is 6^2 in expanded form. A.12 b.2x2x2x2x2x2 c.36 d.6x6

Answers

6x6 is 6² in expanded form.

Given that, the expression 6² to expand the equation,

The expanded form of the given expression will be 6 multiplied by 6.

In another word, the expanded form of the given expression will be:

6² = 6*6

Therefore, option D is correct.

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Anything to the power of 2 is that number times itself. So 5^2 would be 5*5, that means 6^2 is 6*6

Find the x-intercept and y-intercept of the line. 3x-6y=12

Answers

Answer:

the y- intercept is "3" and the x- intercept is "6"

Step-by-step explanation:

A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year. About how many times faster does the sparrow's heart beat compared to the human heart? Estimate using a single digit times a power of 10.

Answers

Answer:

2 * 10^2 times

Step-by-step explanation:

To get the number of times faster the Sparrow’s heart beat compared to the human heart, we divide the number of times the Sparrow’s heart beat compared to a human’s

That will be;

(241,776,000)/(1,533,000) = 157.7142857142857

Now, we want to use a single digit times a power of 10

That will be 1.577 * 10^2

Since it is a single digit, it will be 2 * 10^2

Final answer:

The sparrow's heart beats about 158 times faster compared to the human heart.

Explanation:

A healthy human heart beats about 1,533,000 times in a year, while a sparrow's heart beats about 241,776,000 times in a year.

To find the ratio, we divide the number of times the sparrow's heart beats by the number of times the human heart beats, which gives us:

Ratio = Sparrow's Heart Beats / Human Heart Beats

Ratio = 241,776,000 / 1,533,000

Ratio = 158

Therefore, the sparrow's heart beats about 158 times faster compared to the human heart.

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What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3? y = 5 y = 6 y = 8 y = 9

Answers

Answer:

y=9

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, y=?

6.4*3+2.8y= 44.4
2.8y= 44.4- 19.2
2.8y= 25.2
y= 25.2/2.8
y= 9

Answer:

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, substituting it in the expression above we have :

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4

2.8y = 44.4 -19.2 = 25.2

y = 25.2 / 2.8 = 9

Whats the difference of 89,24&17

Answers

I interpret the first number to be 89.24, so 84 and 24 hundredths.

The difference would be by how many numbers they differ, so we subtract the smaller from the bigger:

89.24-17=12.24

this would be their difference!

Need a step by step on how to solve this please

Answers

I have not done this in advance. I'm just going to write it down
and see what I can do with it:

[ 1/(x+3)² - 1/x² ] / 3

Multiply the top and bottom by (x+3)² :

[ 1 - (x+3)²/x² ] / 3 (x+3)²

Multiply the top and bottom by x² :

[ x² - (x+3)² ] / 3 x² (x+3)²

Now it's just a matter of expanding and cleaning things up,
and hope and pray that a lot of things cancel.

Eliminate the parentheses on top and bottom:

[ x² - x² - 6x -9 ] / 3 x² (x² + 6x + 9)

Combine the x² terms on top, and divide top and bottom by 3 :

[ - 2x - 3 ] / x² (x² + 6x + 9)

Finally, all I can make of this is:

- (2x + 3) / [ x(x+3) ]² .

That's not a whole lot prettier than the original form, but at least
we got rid of those fractions in the numerator of a fraction.

I hope this is some help to you.

$((1)/((x+3)^2)-(1)/(x^2))/(3)=(1)/(3(x+3)^2)-(1)/(3x^2)=(x^2)/(3x^2(x+3)^2)-((x+3)^2)/(3x^2(x+3)^2)=(x^2-x^2-6x-9)/(3x^3(x+3)^2)\n\n=(-6x-9)/(3x^2(x+3)^2)=(3(-2x-3))/(3x^2(x+3)^2)=-(2x+3)/(x^2(x+3)^2)$

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