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2 years ago

Chao bought a boat for HK$160 000

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

7 0

Answer:

$141,557.76

Step-by-step explanation:

Chao bought a boat for 160,000

The value of the boat reduces by 4% every year

Therefore the value of the most at the end of three years can be calculated as follows

= 100%- 4%

= 96%

= 160,000 × 96/100^3

= 160,000 × 0.96^3

= 160,000 × 0.884736

= 141,557.76

Hence the price of the boat after 3 years is 141,557.76

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

3 years ago

375 of the students at Haldane Elementary School walk to school. If these

ELEN [110]

Answer:

506

Step-by-step explanation:

do the math

7 0

3 years ago

A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get

julsineya [31]

I have an expression

$\sigma = \sqrt{p(1-p)/n}$

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

$E( (b-p)^2 ) = (-p)^2(1-p) + (1-p)^2p = p(1-p)$

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

$\sigma = \sqrt{p(1-p)/n}$

Plugging in the numbers,

$\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%$

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0

3 years ago

On any given day, Juan will break even if he earns as much money as he spends. On day 5, he records the expression 16+ (-16). Do

sertanlavr [38]

Answer:

Yes. Juan will break even because 16 and -16 are a zero pair. -16 is the additive inverse of 16. So the sum will be 0.

6 0

3 years ago

Read 2 more answers

Find the distance between the points given. (2, 5) and (6, 8)

inna [77]

(2,5) , (6,8)

Distance formula :

d = √(x₂-x₁)² + (y₂-y₁)²

Simply plug in the values.

d = √(6 - 2)² + (8 - 5)²

Simplify.

d = √(4)² + (3)²

Simplify.

d = √16 + 9

Simplify.

d = √25

So, the distance is 5

~Hope I helped!~

6 0

3 years ago