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3 years ago

I will give brainiest to whoever answers correctly !!

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

4 0

Answer:

The country's population decreased about 5.8 % during this time period.

Step-by-step explanation:

Population in 1990 = 164 million

Population in 2010 = 155 million

Determine the percent decrease

The formula used is: $Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100$

We have :

Initial Value = 164 million (164,000,000)

New Value = 155 million (155,000,000)

Finding percent decrease

$Percent\:Decrease=\frac{Initial\:Value-New\:Value}{New\:Value}\times 100\\Percent\:Decrease=\frac{164,000,000-155,000,000}{155,000,000}\times 100\\Percent\:Decrease=\frac{9,000,000}{155,000,000}\times 100\\Percent\:Decrease=5.8\%$

So, The country's population decreased about 5.8 % during this time period.

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Emily needs to hire a pilot. Pilot A is offering his services for an initial $32 in addition to $22.18 per hour.

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Answer:

After working for 3. 74 hours, BOTH pilots will charge same amount.

Step-by-step explanation:

Let us assume in m hours, BOTH PILOT charge the same amount of money.

About PILOT A:

The fixed rate = $32

The rate per hour = $22.18

So, if the pilot A works for m hours, then :

Charge for m hours = m x (charge per hour) = m x ($22.18) = 22.18 m

So, the Total cost for hiring Pilot A = Fixed charge + Cost for m hour

Total cost for hiring Pilot A = $32 + 22.18 m .......... (1)

About PILOT B:

The fixed rate =$46.75

The rate per hour = $18.24

So, if the pilot B works for m hours, then :

Charge for m hours = m x (charge per hour) = m x ($18.24) = 18.24 m

So, the Total cost for hiring Pilot B = Fixed charge + Cost for m hour

Total cost for hiring Pilot B = $46.75 + 18.24 m .......... (2)

Now,as for m hours, they charge the SAME:

⇒ From (1) and (2)

$32 + 22.18 m = $46.75 + 18.24 m

or, 3.94 m = 14.75

or m = 14.75/3.94 = 3.74

or, m = 3.74 hours

Hence, after working for 3. 74 hours, BOTH pilots will charge same amount.

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3 years ago

Divide 4x^3-7x^2-11x+5 by 4x+5 and can you show the steps ?

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3 years ago

Based on the figure, which of the following equations is also true?

Leno4ka [110]

Answer:

The correct answer is B.

Step-by-step explanation:

Because you know two of the angles in a triangle are 90° and 52°, you can infer that the third angle is 38°. There is a trigonometry rule that states the sine of an angle is equivalent to the cosine of 90° minus that angle, which you can apply to here. Since $Sin(52$ ° $)$ = $\frac{17}{c}$ , you know that $Cos(90$ ° $-52$ ° $)$ or $Cos(38$ ° $)$ also equals $\frac{17}{c}$ , so choice B is the correct answer.