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2 years ago

11

What is the arc length of an arc with radius 14 in and central angle 66^o? Show all calculations that lead to the answer and inc

lude units.

1 answer:

Bas_tet [7]2 years ago

5 0

Answer:

28pi*66/360

Step-by-step explanation

Used the equation Central angle/360*2pi r

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If 1.5 and 2.5 are the height and base, then just use Pythagorean theorem,

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Broccoli cost $3.14 a pound at the market.

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Write the linear equation from the given information in slope intercept form (-1,3); slope=-3

nadya68 [22]

Answer:

<h3>y = -3x</h3>

Step-by-step explanation:

The standard expression of equation of a line in slope-intercept form is expressed as;

y = mx+c

m is the slope

c is the intercept

Given

slope m = -3

Point (x, y) = (-1, 3)

x = -1 and y = 3

Get the intercept

To get the intercept c, we will substitute the given values into the equation above to have;

y = mx+c

3 = -3(-1)+c

3 = 3 + c

c = 3-3

c = 0

Substitute m = -3 and c = 0 into the equation above;

y = mx+c

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y = -3x

Hence the required linear equation is y = -3x

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2 years ago

Suppose you want to have $300,000 for retirement in 25 years. Your account earns 8% interest. How much would you need to deposit

Rus_ich [418]

Using the future value formula, it is found that you would need to deposit $272.95 in the account each month.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For this problem, considering that there are monthly compoundings, the parameters are:

r = 0.08/12 = 0.0067, V(n) = 300000, n = 25 x 12 = 300.

Hence we solve for P to find the monthly payment.

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$300000 = P\left[\frac{(1.0067)^{299}}{0.0067}\right]$

1099.12P = 300000

P = 300000/1099.12

P = $272.95.

You would need to deposit $272.95 in the account each month.

More can be learned about the future value formula at brainly.com/question/24703884

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1 year ago