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2 years ago

Increase £16870 by 3% Give your answer rounded to 2 DP

Mathematics

2 answers:

Naya [18.7K]2 years ago

6 0

Answer:

17376.1 euros

Step-by-step explanation:

100%=16870

103%=x

103% x 16870=1737610/100=17376.1

Fudgin [204]2 years ago

6 0

New value =

16,870 + Percentage increase =

16,870 + (3% × 16,870) =

16,870 + 3% × 16,870 =

(1 + 3%) × 16,870 =

(100% + 3%) × 16,870 =

103% × 16,870 =

103 ÷ 100 × 16,870 =

103 × 16,870 ÷ 100 =

1,737,610 ÷ 100 =

17,376.1

Rounded to 2 DP: 17376.10

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helps! Stay safe, have a good day :D

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How many 5-digit numbers are there that are divisible by either 45 or 60 but are not divisible by 90?

o-na [289]

Answer:

2500 numbers

Step-by-step explanation:

Problem;

Solving for the number of 5-digit numbers divisible either by 45 or 60 but not divisible by 90;

Let us approach this in a step wise manner;

5 -digits numbers ranges from 10,000 to 99,999

To solve this problem, let us find the number of digits that are divisible by 45;

the first number divisible by 45 within this range is 10035

the last number divisible by 45 in this range is 99990

increment is 45

The total number in this range is:

$\frac{last number - first number}{increment}$ + 1 = $\frac{99990 - 10035}{45}$ + 1

= 2000 numbers

To solve this problem, let us find the number of digits that are divisible by 60;

the first number divisible by 60 within this range is 10020

the last number divisible by in this range is 99960

increment is 60

$\frac{99990 - 10080 }{90}$

The total number in this range is:

$\frac{last number - first number}{increment}$ + 1 = $\frac{99960 - 10020}{60}$ + 1

= 1500 numbers

To solve this problem, let us find the number of digits that are divisible by 90;

the first number divisible by 90 within this range is 10080

the last number divisible by in this range is 99990

increment is 90

The total number in this range is:

$\frac{last number - first number}{increment}$ + 1 = $\frac{99990 - 10080}{90}$ + 1

= 1000 numbers

Now solution:

Number of 5 digits = number of 45 + number of 60 - number of 90

= 2000 + 1500 - 1000

= 2500 numbers

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2 years ago

The pressure at sea level is 111 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of

tiny-mole [99]

Answer:

we have P(x) = mx + 1

Step-by-step explanation:

Allow me to revise your question for a better understanding:

<em>The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3 point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters.</em>

My answer:

Given:

At O meter the the pressure is 1 (0, 1)

At 23 meters the the pressure is 3.3 (23, 3.3)

From that, we can form a linear equation with the standard form:

P(x) = mx + b (1)

The slope of (1) is:

$m=\frac{3.3-1}{23-0}=\frac{2.3}{23}=\frac{23}{230}=0.1$

<=> P(x) = 0.1x + b

Substitute the point (0, 1) into (1) we have:

1 = 0.1*0 + b

<=> b = 1

So we have the equation of this line will be: P(x) = mx + 1

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2 years ago

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makvit [3.9K]

Answer:

Step-by-step explanation:

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(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)

use FOIL & distribute :

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apply the distributive property once more:

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104x^4+16x^4√30

answer is D

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2 years ago

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viktelen [127]

<h3>The ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1</h3>

<em><u>Solution:</u></em>

Given that,

Five hundred sixth-grade students were surveyed

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Therefore,

total sixth-grade students : students traveled on airplane = 500 : 125

<h3>Ratio = 500 : 125</h3>

Reduce to lowest terms,

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Further reduce to simplest terms,

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<h3>Ratio = 4 : 1</h3>

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2 years ago

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Y_Kistochka [10]

The midpoint is the average of the endpoints.
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4 0

2 years ago

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