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3 years ago

What is one advantage of using a credit union?

Mathematics

1 answer:

lidiya [134]3 years ago

3 0

Answer:

They are able to offer better rates than commercial banks because they are exempt from federal taxes

Step-by-step explanation:

I've taken the same test

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A store charges $56 for 5 pounds of crab meat. What is the unit price per pound of crab meat?

jeka57 [31]

The unit price is 11.2

3 0

2 years ago

Read 2 more answers

Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84

guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0

2 years ago

What’s the volume of 4.3ft 5.2ft cone round to nearest hundredth

Vika [28.1K]

Answer:

Pick the best solution.

Step-by-step explanation:

Volume of a cone is V = ⅓πr²h

If cone diameter is 4.3

V = ⅓π(4.3/2)²(5.2) = 25.17148... ≈ 25.17 ft³

If cone radius is 4.3

V = ⅓π(4.3)²(5.2) = 100.685950... ≈ 100.69 ft³

If cone diameter is 5.2

V = ⅓π(5.2/2)²(4.3) = 30.439938... ≈ 30.44 ft³

If cone radius is 5.2

V = ⅓π(5.2)²(4.3) = 121.75975... ≈ 121.76 ft³

5 0

3 years ago

3) A box of chocolates contains five milk chocolates, five dark chocolates, and five white

nevsk [136]

Dependenttttttttttttttttttttttt

7 0

2 years ago

HELP The minute hand of a clock is 5 inches long. to the the nearest tenth of an inch, how far does the tip of the minute hand t

faltersainse [42]

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing $\frac{210}{1} *\frac{\pi }{180}$ , and we ge that θ is $\frac{7\pi }{6}$ so ( $\frac{7\pi }{6}$ )(5)= 18.326 inches

3 0

2 years ago