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3 years ago

Plz help asap 25 points

Mathematics

1 answer:

Ierofanga [76]3 years ago

8 0

Answer:

$14.39

Step-by-step explanation:

The formula for continuous compounding of interest is:

A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.

Here we have $2109 = $500e^(10r) and need to solve for r.

To do this, take the natural log of both sides, obtaining:

ln 2109 = ln 500+ 10r.

Then 10r = ln 2109 - ln 500, and

ln 2109 - ln 500

r = --------------------------------------------

= .1439

The interest rate was 14.39%.

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In homer run derby competition there were 32 home rinse hit out of 124 hits approximately what percent of hits were home runs

RoseWind [281]

Answer:

26% of hits were home runs.

Step-by-step explanation:

In homer run derby competition there were 32 home rinse hit out of 124 hits approximately.

We need to find what percentage of hits were home runs.

$\text{Formula for percentage }=\frac{\text{Number of hit by home run}}{\text{Total number of hits}}\times 100$

Number of home runs hit = 32

Total number of hit = 124

Now we calculate the percentage

$\%=\frac{32}{124}\times 100\approx 26$

Thus, 26% of hits were home runs.

3 0

3 years ago

for homework create your own inequality below that represents a real word situation.solve your problem in to two ways , one corr

lisov135 [29]

Answer:

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"I will leave you to it,"said Forrest. "By the way, its an exciting story," he added.

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Rachel replied sadly "Its been a horrible birthday".

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3 0

3 years ago

Which of the following is an example of the Distributive Property?

In-s [12.5K]

Answer:

2z2(2y - 5) = 4z2y - 10z2

Step-by-step explanation:

I hope this helps

8 0

3 years ago

Read 2 more answers

ASAP PLZ HELP 1 EASY QUESTION HELP :/

MrMuchimi

If 2 triangles are similar, the ratio of one side of the triangle to the corresponding side of the other is always same for all 3 sides.
We can make use of this rule to calculate the length of sides.
From the image,
3 / 15 = 6 / x
Simplify,
1 / 5 = 6 / x
Use cross method to solve this.
5 x 6 = 1 x x
X = 30
Therefore the length of x is 30ft., A.

6 0

3 years ago

Please help. How do you find cosine, sine, cosecant and secant with this triangle?

Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

sine (sin) = opposite/hypotenuse
cosine (cos) = adjacent/hypotenuse
tangent (tan) = opposite/adjacent
cosecant (cosec/csc) = hypotenuse/opposite
secant (sec) = hypotenuse/adjacent
cotangent (cot) = adjacent/opposite
cosecant is the reciprocal of sine
secant is the reciprocal of cosine
cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Trigonometric Ratio
Adjacent = 12
Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

10²+12² = c²
100+144 = c²
244 = c²

Thus, the hypotenuse is:

$\large \boxed{c = 2 \sqrt{61} }$

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61
sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61
cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5
secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0

3 years ago