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tamaranim1 [39]
3 years ago
13

Explain why the amount of money in the account at the end of t years is given by the formula:

Mathematics
1 answer:
nevsk [136]3 years ago
3 0

Answer:


Step-by-step explanation:

The initial amount invested is P0

Say it is compounded periodically either quarterly or monthly or semi annually with interest r%

If for a period interest is r%

Then after first period principal = principal+simple interest

=P_{0}+\frac{P_{0}r }{n}

where n is the no of times in a year it is compounded. n = 4 if quarterly, 12 if annually, etc

At the end of II period we have

Principal =P_{0}+\frac{P_{0}r }{n}

So for interest again the process is repeated

Thus we repeat this nt times which result in power with nt

Hence the formula


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Given segments AB and CD intersect at E.
nata0808 [166]

The length of a segment is the distance between its endpoints.

  • \mathbf{AB = 3\sqrt{2}}
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<u>(a) Length of AB</u>

We have:

\mathbf{A = (1,2)}

\mathbf{B = (4,5)}

The length of AB is calculated using the following distance formula

\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

So, we have:

\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}

\mathbf{AB = \sqrt{18}}

Simplify

\mathbf{AB = 3\sqrt{2}}

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}

Where:

\mathbf{C = (2, 4)}

\mathbf{D = (2, 1)}

So, we have:

\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}

\mathbf{CD = \sqrt{9}}

\mathbf{CD = 3}

By comparison

\mathbf{CD \ne AB}

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

\mathbf{AB = \frac 12 \times CD}

The above equation is not true, because:

\mathbf{3\sqrt 2 \ne \frac 12 \times 3}

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

\mathbf{CD = \frac 12 \times AB}

The above equation is not true, because:

\mathbf{3 \ne \frac 12 \times 3\sqrt 2}

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0
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The graph to answer the question and the answer choices.
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Answer:

  y ≥ 3x -1; x +3y ≤ 6

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The line with a slope of +3 is shaded <u><em>above</em></u> the line, so that will correspond to the inequality ...

  y ≥ 3x -1 . . . . . . . . . . found only in the 4th choice.

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Same-sex unions increasingly become heated political issue. the 2006 GSS asked respondents opinions on homosexual relations. fiv
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Answer:

Ordinal level

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The variable of interest is opinion on homosexual relations and the frequency distribution for opinion on homosexual relations is given.

The opinion of people is categorized from wrong to not wrong at all. There exists order in the categorizes and measurement of variable indicates the ordinal level of measurement.

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