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Inga [223]
3 years ago
11

the perimeter of a rectangular field is 322 yards. if the length of the field is 88 yards, what is the width

Mathematics
1 answer:
eduard3 years ago
5 0
The perimeter of a rectangle is founded by length plus length plus width plus width

So, we put that information into an expression

P=2l+2w

322=2(88)+2w

Simplify 2(88) which is 176

322=176+2w

Move 176 to the other side as a negative number

322-176=2w

146=2w

Divide both sides by two

146/2=2w/2

146/2 is 73

Therefore, the width of the fie,d is 73 yards
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When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
73km 47hm 2dam - 11km 55hm
zvonat [6]

<u>Answer</u>

6,122 hm


<u>Explanation</u>

You can carry out operations on the like terms only. So convert all units to one unit.

I will convert them to dam

1 km =100 dam

73 km = 73 × 100

          =7,300 dam

11 km = 11× 100

         1100 dam

1 hm = 10 dam

47 hm = 47 × 10

            = 470 dam

55 hm = 55× 10

           = 550 dam

73km 47hm 2dam - 11km 55hm = (7300+ 470+2) - (1100+550)

                                                    = 7,772 - 1,650

                                                    = 6,122 hm


8 0
3 years ago
Can I get help? I have a hard time getting these things
lesantik [10]
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2) 81.64m
3) 69.08cm
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1) 50inches
2)6inches
3)28.26-9.42=18.84inches
4)≈7.7
3 0
2 years ago
Read 2 more answers
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postnew [5]

Answer:

Step-by-step explanation:

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8 0
3 years ago
What is the equation of a sphere?
Charra [1.4K]

Answer:The general equation of a sphere is: (x - a)² + (y - b)² + (z - c)² = r², where (a, b, c) represents the center of the sphere, r represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.

Step-by-step explanation:

8 0
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