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4 years ago

HELP NEEDED!!!

Mathematics

1 answer:

V125BC [204]4 years ago

6 0

a) The formula for compound interest is:

Total = starting amount x (1 + interest rate)^ number of years

Using the given information you have:

1200 = 500 x (1+0.045)^x where x is the length of time you want to find.

1200 = 500 (1.045)^x

Divide both sides by 500:

2.4 = 1.045^x

Use natural logarithms:

ln(1.045^x) = ln(2.4)

Solve for x:

X = ln(2.4) / ln(1.045)

X = 19.889 years ( Round the answer as needed).

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-3>-5+m/2 solve for the varible "m"

Ira Lisetskai [31]

For this case we must solve the expression given for the variable "m":

$-3> -5+ \frac {m} {2}$

We add 5 to both sides of the inequality:

$5-3> \frac {m} {2}\\2> \frac {m} {2}$

Multiplying by 2 to both of the inequality:

$2 * 2> m\\4> m$

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The solution is given by all values of m less than 4.

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4 years ago

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Translation doesn't change the shape, size, or orientation of anything.
It just moves things around.

So the line segments in the image are not only congruent to the ones
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Answer: 1 SSS
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3 years ago

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What is the image of (x, y) after a translation of 3 units right and 7 units down?

fenix001 [56]

Translation involves changing the position of a shape.

The image of point (x,y) after a translation of 3 units right and 7 units down is: $\mathbf{(x - 3,y - 7)}$

The point is given as: (x,y)

The rule of translation 3 units right is:

$\mathbf{(x,y) \to (x-3,y)}$

The rule of translating 7 units down is:

$\mathbf{(x,y) \to (x,y - 7)}$

So, we have:

$\mathbf{(x - 3,y) \to (x - 3,y - 7)}$

Hence, the image of point (x,y) after a translation of 3 units right and 7 units down is: $\mathbf{(x - 3,y - 7)}$