Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years.

Answers

Answer 1
Answer:

Answer:

y = 100(3)^t

Step-by-step explanation:

Use the formula y = P(1 + r)^t where y is the new amount, P is the starting amount, r is the rate as a decimal, and t is the time.

Plug in the values given:

y = 100(1 + 2)^t

y = 100(3)^t

Answer 2
Answer:

Answer:

Step-by-step explanation:

y = 100(3)^t


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You have been contracted to replace a countertop in a kitchen. You will get paid $1,000 to do the job. You can complete the job in three days working 8 hours a day. You will need to pay the cost of the materials, which is $525, with the $1,000 that you receive to do the job. How much will you be paid per hour for your time?

Answers

Answer:

$19.79 cents (rounded to the nearest cent)

Step-by-step explanation:

first subtract the amount needed for materials from your total pay

(1000 - 525 = 475)

take 475 and divide that among the hours you work.

475 / 24 = 19.7916666

round that number to the closest money value

19.79

Vince went on a 333 day hiking trip. Each day, he walked 3\4 ​the distance that he walked the day before. He walked 83.2583, point, 25 kilometers total in the trip.

Answers

Answer:

x= 36 km

Step-by-step explanation:

Vince went on a 3 day hiking trip. Each day, he walked 3/4 the distance that he walked the day before. He walked 83.25 kilometers total in the trip. How far did Vince walk on the 1st day of the trip?

Assume vince walked x km on the first day .

The following equation can be formed

x + 3/4 x + (3/4)^2 x = 83.25

x + 0.75x + 0.5625x = 83.25

Add the like terms

2.3125x = 83.25

Divide both sides by 2.3125

x = 36 km.

Answer:

36

Step-by-step explanation:

Find the length of x

Answers

Answer:

B

Step-by-step explanation:

Law of Sines:

Sin(a)/opposite side=Sin(b)/opposite

Sin(55)/x=sin(90)/59

Sin(55)/(Sin(90)/59)

sin(90)=1

Sin(55)/(1/59)

59Sin(55)=48.33

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Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.Given:
∠C, ∠F are rt. ∠'s; AC = DF; ∠B = ∠E

HL
LL
HA
LA

Answers

∠C and ∠F are right angles. So, the triangles are right triangles.

AC = DF are the short legs of both triangles.

∠B = ∠E.

In this scenario, the postulate is ASA (Angle-Side-Angle)

The remaining sides that must be noted to prove that the triangles are congruent are the long legs and hypotenuse.

CB = FE can be LL for congruence where tt states that if the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.

Nameof postulate or theorem that supports the conclusion that the triangles are congruent is Angle-side-Angle (ASA).

Given information:

\angle C,\; \angle F are right triangle, AC=DF;\angle B=\angle E

From the figure,

\Delta ACB\;\&\;\Delta DFE are right angletriangle.

AC=DF \;\;\;\;\{\rm{given}\} \n\angle B=\angle E \; \;\;\;\;\{\rm{given}\}

And \angle C=\angle F=90^\circ

\Delta ACB\;\cong\;\Delta DFE                 {ASA congruence rule}

Hence, Nameof postulate ortheorem that supports the conclusion that the trianglesare congruent Angle-side-Angle.

Learn more about Congruency of triangle here:

brainly.com/question/21718353?referrer=searchResults

Jasmin read 1 3/4 pages in one minute. Armando read 1 1/2 times the number of pages that Jasmin read. How many pages did Armando read? Express your answer in simplest form. PLZZZZZ HELPP!!!!!!!!!!!!!!

Answers

Armando reads 7/8 pages, since u said ''times'' that calls for multiplication so jasmine reads 1 3/4 and Armando reads 1/2 times that so that means 1/2 * 1 3/4 = 7/8. So in conclusion, Armando reads 7/8 pages total.

Hope this helps and if it does, happy studying and don't forget to mark as brainliest.

Compare using <, >, or =.

1/2 ___ 5/10

<
>
=

Answers

(1)/(2) = 0.5
(5)/(10) = 0.5

∴  (1)/(5) = (5)/(10)

Answer:

Step-by-step explanation:

1/2 = 0.5

5/10 = 0.5

So 1/2 = 5/10