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3 years ago

The value of a bike depreciates by 35% per year. Work out the current value of a bike bought 2 years ago for £600

2 answers:

8 0

After 1st year the value of the bike is 35% less, worth 65% of the original price: 0.65*600 = 390
2nd year 65% of 390
.65*390 = 253.5

Aleks04 [339]3 years ago

6 0

253.5 is the correct answer

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In ΔUVW, w = 9 cm, v = 2.2 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.

Alja [10]

Complete Question

In ΔUVW, w = 9 cm, v = 22 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.

Answer:

16.5°

Step-by-step explanation:

In ΔUVW, w = 9 cm, v = 22 cm and ∠V=136°. Find all possible values of ∠W, to the nearest 10th of a degree.

We solve using Sine rule formula

a/sin A = b/sin B

We are solving for angle W

∠V=136°

Hence:

22 /sin 136 = 9 /sin W

Cross Multiply

22 × sin W = sin 136 × 9

sin W = sin 136 × 9/22

W = arc sin [sin 136 × 9/2.2]

W = 16.50975°

W = 16.5°

3 0

3 years ago

Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n. thanks.

azamat

Answer: i think (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

6 0

2 years ago

Caleb was recently hired for a job with an annual income of $35,000. Using the federal income rate of 15 %, what amount should C

Ipatiy [6.2K]

Answer:

<h2 /><h2>answer will be 5250</h2>

-------------------------------

 $35000 \times \frac{15}{100} = 350 \times 15 = 5250$ 

7 0

3 years ago

What do you need to know in order to do a rotation? Complete a rotation of your choice and identify the rule for this

Maurinko [17]

You are suppose to use a ruler to rotate the thing you need to rotate

6 0

2 years ago

If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have?

gizmo_the_mogwai [7]

Answer:

The regular polygon has 13 sides

Correct statement and question:

If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have?

Source:

1,920° is not a valid value for a regular polygon. It should be either 1,980° or 1,800° (it has to be a multiple of 180). We pick 1,980° to answer the question.

Step-by-step explanation:

Let's recall that the formula of the sum of the interior angles of any polygon is:

Sum of Interior Angles = (n-2) * 180°, where n is the number of sides of the polygon.

Therefore, replacing with the value we know:

1,980 = (n-2) * 180

n - 2 = 1,980/180

n - 2 = 11

n = 13

7 0

3 years ago