The formula A = 15.7 e 0.04341 models the population of a US state, A, in millions, t years after 2000. a. What was the population of the state in 2000? b. When will the population of the state reach 18.7 million? a. In 2000, the population of the state was million. b. The population of the state will reach 18.7 million in the year (Round down to the nearest year.)

Q: Solve. The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be…

A:

Q: Find the age of a fossil that has 1/4 of its carbon 14 remaining. (k= -0.00012). Round to the…

A: A=Pekt a fossil that has 1/4 of its carbon 14 remaining so take A=P4 and here k=-0.00012

Q: Find the difference between CI and SI on $92,000 at 20%p.a compounded semi-annually for 1^1/2

A:

Q: Complete the table shown to the right for the half-life of a certain radioactive substance. Decay…

A: We know that the half - life of a substance is given by : t1/2 = 0.693/k where, k is the decay…

Q: To find the amount A in an account after t years with principal P and an annual interest rate r (in…

A: Given: To find the amount A in an account after t years with principal P and an annual interest rate…

Q: The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be present in…

A: Since we have the radioactive decay formula:                         A=A0.2-th      where  A =…

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A:

Q: How much time will be needed for $17,000 to grow to $18,778.58 if deposited at 4% compounded kt…

A:

Q: At the beginning of an experiment, a scientist has 252 grams of radioactive goo. After 120 minutes,…

A:

Q: At the beginning of an experiemnt, a scientist has 348 grams of radioactive goo. After 255 minutes,…

A:

Q: During a preliminary survey of an asteroid, chemical analysis indicated that a certain radioactive…

A:

Q: Solve the following exponential equation. Express your answer as a decimal approximation rounded to…

A: Givenex-4=123

Q: You invest $10,000 in Rapid Growth Funds, which appreciate by 3% per year, with yields reinvested…

A: First we will find amount after 3 years of investment

Q: The half-life of radium is 1690 years. If 30 grams are present now, how much will be present in 140…

A:

Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A: To determine the equation for the nails growth over the month

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 710…

A: Formula for decay A(t)= Aoekt Given Ao=80

Q: The half-life of radium is 1690 years. If 30 grams are present now, how much will be present in 570…

A: We have to finds the remaining amount

Q: The gross domestic product, G, of Switzerland' was 685.4 billion dollars in 2013. Give a formula for…

A:

Q: A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in…

A: Given:wooden artifact=70% of carbon-14half-life of carbon-14 =5730 yearswe know that radioactive…

Q: If the population of a certain county was 100,000 in 1998 and 110,463 in 2008, and if the formula y…

A: We have given information that   The population is given by y=P0eht in 1998 population is 100,000…

Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon- 14 that is present in…

A:

Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

A: Given, Initial quantity of carbon-14=N(0)= 100% Quantity of C-14 remaining=N(t)= 30% Half-life of…

Q: the

A: We will find the value of h and the population in 2023.

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: We have to find how long ago, to the nearest year, was the artifact made.

Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in…

A:

Q: At the beginning of an experiment, a scientist has 188 grams of radioactive goo. After 180 minutes,…

A:

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 360…

A: Given query is to find the amount remaining after 360 years.

Q: What is the rate compounded semi-annually that results in P625 accumulating to P1100 in 42 months?*…

A:

Q: Solve the following exponential equation. Express irrational solutions in exact form and as a…

A: Given the exponential equation 4x=5. We need to solve the above equation.

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Given: The half-life of carbon-14 is 5600 years. If a piece of charcoal is made from the wood of a…

Q: Maria's parents invested $14,000 at 6% per year compounded monthly. How much money will there be in…

A: Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other…

Q: The frozen remains of a young Incan womanwere discovered by archeologist Johan Reinhard on Mt.…

A: The standard exponential decaying model is given as y(t)=y0e-kt. To find the value of…

Q: At the beginning of an experiment, a scientist has 228 grams of radioactive goo. After 135 minutes,…

A: Given that: P=the initial amount= 228 Time=t=135 minutes A=final amount= 3.5625 r=rate    Using the…

Q: The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in…

A: The equation governing mass at any time t will be: m(t) = m0e-kt where k = 0.693 / t1/2 = 0.693 /…

Q: A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in…

A:

Q: A certain forest covers an area of 3800 km". Suppose that each year this area decreases by 5.75%.…

A:

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in li…

A: The solution is given below

Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was…

A: Given: half lifr=5730 t=5200

Q: A wooden artifact from an archeological dig contains 60 percent of the carbon-14 that is present in…

A: The amount of time taken to decay a substance follows exponential model P(t)=P0ekt. Here P(t)…

Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in…

A: For the given wooden artifact which contains 25 % of C-14 half life is 5730 years  Number of years…

Q: Human hair from a grave in Africa proved to have only 91% of the carbon 14 of living tissue. When…

A: Given:

Q: A spectrophotometer measures the concentration of a sample dissolved in water by shining a light…

A: Given,

Q: 2. The half-life of a radioactive material is 22.52 hours. If you measure 88.95 grams of the sample…

A: Half-life is the time required for a quantity to reduce to half of its initial value. The term is…

Q: You invested $7,500 in a stock whose value is depreciating by 9% per year, compounded annually.…

A:

Q: If the population of a certain county was 100,000 in 1998 and 110,597 in 2008 and the formula…

A: We know that the exponential growth is a process of increase in a quantity with time. The population…

Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in…

A:

Q: What is the actual rate of interest if RO 4000 deposited for 3 years attracts interest of RO 1440?…

A: Interest = I = 1440 Principal Value = P = 4000 Time =T = 3

Q: Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X,…

A:

Q: If the population of a certain county was 100,000 in 1998 and 110,693 in 2008 and the formula y =…

A: Given Population of country in year 1998 is 100,000 and Population of country in year 2008 is…

Q: The half-life of radium is 1690 years. If 90 grams are present now, how much will be present in 370…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.