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Vanyuwa [196]
3 years ago
7

Determine the slope from the given graph below:

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

i

Step-by-step explanation:

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A race car driver under the caution flag at 10 feet per second begins to accelerate at a constant rate after the warning flag. T
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It would take the car 20 seconds
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Find the compound amount of $5700.00 at 11.2% p.a. for seven years compounded
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Answer:

11984.18 dollars

Step-by-step explanation:

Given that an amount of 5700 dollars is invested at 11.2% p.a. for seven years compounded.

We have compound interest formula for Principal P for n years at r% compounded annually is

Final amount = P(1+r)^n\\=5700(1+0.112)^7\\=11984.18

Final amount for 5700 dollars at 11.2% p.a. for 7 years would be

11984.18 dollars.

Answer is 11984.18 dollars

3 0
4 years ago
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Step-by-step explanation:

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(cotx+cscx)/(sinx+tanx)
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Answer:   \bold{\dfrac{cot(x)}{sin(x)}}

<u>Step-by-step explanation:</u>

Convert everything to "sin" and "cos" and then cancel out the common factors.

\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)

\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)

\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}

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Answer:

1st box would be 8/20 and the second 5/20. the final box would be >.

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