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Mandarinka [93]
3 years ago
15

Principal, $3000; Annual interest rate, 5.7%, 5 years

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

$3,958.19

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

Lets plug in the values into the equation:

3,000(1+\frac{0.057}{1})^5 = 3,958.19

Your final answer is $3,958.19

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Pavel [41]
They are similar because 4/2 = 8/4
8 0
3 years ago
(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin wit
Nikitich [7]

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

8 0
3 years ago
Each of 8 students reported the number of movies they saw in the past year. This is what they reported: 5, 4, 18, 19, 12, 20, 12
djyliett [7]
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Then you divide that number by the amount of numbers you have so 102 / 8 = 12.75 or rounding it up to 13

For median you have to first put them in order from smallest to largest.
So 4 5 12 12 12 18 19 20
Then you have to find the middle number between them but in this case we have two... 12 and 12. Since they're the same number, the median is 12.
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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