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2 years ago

7

Economists predict that Americans will spend $1,180 on Summer Vacation in 2015, this is up 5.6% from 2014. What did Americans sp

end in 2014?

1 answer:

netineya [11]2 years ago

3 0

Answer: $1117.42

Step-by-step explanation:

Given: The amount predicted by Economist =$1180

Let x be the amount spent by Americans on Summer vacation in 2014.

Therefore, According to the question, we have

5.6% of x+x=1180

$\Rightarrow0.056\timesx+x=1180\\\Rightarrow x(0.056+1)=1180\\\Rightarrow\ x=\frac{1180}{1.056}=1117.42\approx$

Hence, the amount spent by Americans on Summer vacation in 2014 = $1117.42

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mina [271]

Answer:

Step-by-step explanation:

1)

A. 2 meters to centimeters

1 m = 100 cm

$2 m = 2 \times 100 \\2 m = 200 cm = 2 \times 10^2$

B)108 centimeters to meters

100 cm =1 m

$1 cm = \frac{1}{100} m \\108 cm = \frac{108}{100}=108 \times 10^{-2} m$

C)2.49 meters to centimeters

1 m = 100 cm

$2.49 m = 2.49 \times 100 = \frac{249}{100} \times 100 = 249 cm$

D)50 centimeters to meters

100 cm = 1m

$1 cm = \frac{1}{100} m \\50 cm = \frac{50}{100}= 5 \times 10^{-1} m$

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1 m = 100 cm

$6.3 m = 6.3 \times 100=\frac{63}{10} \times 100 = 630 cm$

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$1 cm = \frac{1}{100} m\\\\7 cm = \frac{7}{100} = 7 \times 10^{-2} m$

2)

a)4 meters to millimeters

1 m = 1000 mm

$4 m = 4000 = 4 \times 10^3 mm$

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2 years ago

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

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b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

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Vedmedyk [2.9K]

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2 years ago

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2 years ago

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my apologize for dont really understand the question! but this is what i got

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