The population of a city is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x years.

Q: Solve and show work. 2) The amount of hairs on Mr. Mahers head has been decreasing exponentially at…

A: Rate of decrement= 5.5% Initial number of hair = 110000 Let t being the number of years.

Q: A population numbers 1,650 organisms initially and increases by 6.8% each year. Suppose P represents…

A: The general form of exponential model is, P=P01+rt where, P0 is initial amount, r is rate of growth,…

Q: The population of Gibsonville in the year 1930 was 3100. Assume the population increased at the rate…

A:

Q: In 2000, the population of Metropolis was 55556. By 2011, the population had grown to 72760.…

A:

Q: The following equations represent exponential growth; y = 100 ()* d the following equations…

A: Topic:- function

Q: Biologists stocked a lake with 200 fish and estimated the carrying capacity to be 6400. The number…

A: Let us denote few variables which will be used in the equation: P0: Population at time t=0(Initial…

Q: The equation =y8000(1.09)x describes the amount of an investment (in dollars) based on the number of…

A: We have the given equation is y=8000(1.9)x After seeing the equation it is clear that it is neither…

Q: Write the exponential equation for the function going through the points (4,8) and (2,-6) and has a…

A:

Q: The population of your area is estimated to increase by 10% each year. As of the last census, the…

A: Let P0 be initial population  P0 = 15,000 r = 10%=0.1 (We need to convert percentage to decimal by…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

A:

Q: Determine if the equation models growth or decay , and give the growth/decay Rate as a percentage!…

A:

Q: The number of students at Montdale High School is currently 950. This number is expected to increase…

A: Given: The current strength of Montdale High School=950 Rate of increment=2% per year Number of…

Q: A fruit fly population of 24 flies is in a closed container. The number of flies grows…

A: Given that initial population of flies is 24. it reaches 384 in 18 days growth is exponentially, so…

Q: A population of 200 rodents is growing at a rate of 5% per month. What equation model can represent…

A: The exponential growth or decay is modelled using the equation, f(t)=a(1±r)t, where a is the initial…

Q: Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases…

A: Given: Depth after 1 hour is 64 feet and depth after 4 hour is 28 feet.

Q: A pair of​ women's running shoes cost ​$125 in 2008 and the same shoes cost ​$140 in 2012 due to…

A: Given a pair of women's running shoes cost ​$125 in 2008 and the same shoes cost ​$140 in 2012 due…

Q: no withdrawals or deposits are made

A: The amount is deposited to bank. No withdraw or deposit made for x years. The expected model for…

Q: The current student population of Dallas is 1500. If the population increase at a rate of 11% each…

A: It is given that the present students are 1500(P). The rate of growth(R) is 11%.

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.