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Wittaler [7]
3 years ago
10

Emery borrowed money from her brother to buy a new phone, and is paying off a fixed amount each week. After 2 weeks, she will ow

e $456, and after 5 weeks, she will owe $228
A. What was the original amount emery borrowed?

B.how much does she pay each week?

C. How useful are equations in point slope and slope intercept forms for answering each question?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer: A. The original price was $608. B. $76 each week C. Quite useful, as it keeps track of the amount of money she still needs to owe each week.

Step-by-step explanation: For part A, 5 week subtracted by 2 weeks is 3 weeks. 456-228 is 228. Then divide 228 by 3 and you get $76. Then do 2x76 to get 152 and add it to 456, and you get 608.

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect
Liula [17]

Answer:

After 25 years the population will be:

  • Australia: 22271200
  • China: 1580220878
  • Mexico: 157380127
  • Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

 P(t) = P₀eʳᵗ

  • t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.
  • P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.
  • P₀ is the initial population at P(0)
  • r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

<u>Australia:</u>

P(t)=(19169000)e^{(0.006)t}

after 25 years

P(25)=(19169000)e^{(0.006)(25)}=22271200.6

<u>China:</u>

P(t) = (1261832000)e^{(.009)t}

after 25 years:

P(25)=(1261832000)e^{(.009)(25)}=1580220878

<u>Mexico:</u>

P(t) = (100350000)e^{(0.018)t}

after 25 years:

P(25)=(100350000)e^{(0.018)(25)}=157380127.8

<u>Zaire:</u>

P(t) = (51965000)e^{(0.031)t}

after 25 years:

P(25)=(51965000)e^{(0.031)(25)}=112794819.9

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Use pi•r^2 for the formula of a circle. filling it in, you get 3.14•64 which is 200.96
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