r nt Solv set ir 56) Use the compound interest formulas A -P1+ and A - Pert to solve. 43) Find the accumulated value of an investment of $3000 at 8% compounded annually for 9 years. Solv value logar

Q: jet Za = end P- 1ti Express La for m on their exponential

A: A.)Given values are  Z2=3-i3 ,w=1+2i,p=1+i To evaluate Z2w Let  Z=Z2wZ=3-i31+2i Taking log on both…

Q: At the beginning of an experiment, a scientist has 340 grams of radioactive goo. After 195 minutes,…

A: Radioactive decay is given by: Where N0 - the initial amount             λ - decay constant…

Q: A spring is attached to the ceiling and pulled 9 cm down from equilibrium and released. After 3…

A: Given:Spring is pulled 9 cm down and released.Amplitude is decreased to 5cm after 3 secthe spirng…

Q: Consider making monthly deposits of P = $1050, dollars in a savings account at an annual interest…

A: Given that,  Deposited amount, P=$1050 , r = 0.9% = 0.009 Find  balance A in the account after 35…

Q: The amount of​ carbon-14 present in animal bones after t years is given by ​P(t)=P 0 e^-0.00012t A…

A:

Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A:

Q: a Solave the equation on the interval [o, 27) 2 cos 2x + v2=0 b) Use propeties of logarithms to…

A:

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A: To find the time required for an investment to double in values at the rate of 15% compounded…

Q: 12. How long will it take an investment that earns 17.6% annual interest, compounded continuously to…

A: Above quedtion is solved. Only one question is solved. Solving more than 1 question is against the…

Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Poe -0.00012t. A…

A: answer is in next step. please give a like !!

Q: Consider making monthly deposits of P = $175, dollars in a savings account at an annual interest…

A:

Q: e count in a bacteria culture was 900 after 15 minutes and 1100 after 30 minutes. Assuming th unt…

A: Explanation and solutions is given below....

Q: 2019 1. find the value of t that following equation: Satisfies the a) Log io (2x-7) = 0 b) 52*-3 -…

A: Solved below

Q: Consider making monthly deposits of P = $200,dollars in a savings account at an annual interest rate…

A:

Q: The half life of radon in 4 days . From a sample of 450g determine an equation that can be used to…

A: The half life is the time period in which the half of the initial quantity of substance is consumed…

Q: Consider the equation Mw = 2/3 log10 E - 10.7 relating the moment magnitude of an earthquake and the…

A:

Q: A sample of a radioactive substance has an initial mass of 795.3 mg. This substance follows a…

A: Given:

Q: t In 2 Half-Life uses the formula N (t) = Noe h .

A:

Q: Find a formula for the exponential function of the form f(x) = a· bª that passes through the points…

A:

Q: Usc the change of base formula to sbow that EA- There ore at least two ways log(y) In(y) to do this.…

A:

Q: Consider making monthly deposits of P = $50, dollars in a savings account at an annual interest rate…

A: Given P=$50, r=2%, t=20years.

Q: Consider the exponential equation. a. Find z in exact form: x = b. Approximate x, correct to at…

A: Exponential equation: - We know that exponents are nothing more than logarithms, and vice versa. As…

Q: a) Solve the equation log2(x) + 3 log2 (6) 2 log2 (12) for x. %3D b) Solve 2 et = e-t - 1 for t

A: The objective is to solve for x and t.

Q: 13a)Write down the formula of the change of base theorem and briefly state what it is used for.…

A: To determine the formula for the base change of the logarithmic function and discuss their…

Q: C.A $9,000 inheritance is invested in a bond fund that earns 6% compounded continuously. How long…

A: For continuous compounding, A=Pert Here, P = $9,000, r = 6% = 0.06 and A = 3P = $27,000

Q: At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 195 minutes,…

A:

Q: A bank account earns 5% continuously compounding annual interest. After the initial deposit, no…

A:

Q: Use the result to find t if the corporation needs $850,000 and it can invest $75,000 per year in a…

A: Given data is: A=850000P=75000r=0.03                 …In decimal 3%=3100=0.03 To find the value of t

Q: The area covered by a certain population of bacteria increases according to a continuous exponential…

A:

Q: person places $72300 in an investment account earning an annual rate of 7.1%, compounded…

A: Given: V=Pert Principal= P = $ 72300 Rate of interest compounded continuously = 7.1% = 7.1100=0.071…

Q: Consider the exponential equation. 52 = 622 a. Find z in exact form: T = b. Approximate T, correct…

A: Given that 5x=622. We need to find x in exact form and approximate x to at least 3 decimal

Q: Amber invests $12,000 into an account that pays a 4.25% annual rate compounded continuously. Using…

A: If the interest is compounded continuously, then the formula for the amount is: A=Pert…

Q: The amount of​ carbon-14 present in a paint after t years is given by y=yoe−0.00012t. The paint…

A: Exponential decay

Q: 37. Use the given formulas, find the balance A when $10,000 is invested at 2% rate for 10 years and…

A:

Q: log; x + log; (x – 4) = 2 There are two potential roots, A and B, where A< B. A = B = ... ..- Is A…

A: log3x+log3x-4=2 On simplification, we get ⇒log3xx-4=2     ∵logax+logay=logaxy⇒xx-4=32…

Q: Solve the Logarithms Equation. n = 39 logtan nx (2 + 4 cos²nx) = 2 %3D

A: Given that n=39 and logtannx2+4cos2nx=2 solve the logarithmic equation

Q: At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 195 minutes,…

A: In the question we have to find half life and other parts too.

Q: A spring is attached to the ceiling and pulled 15 cm down from equilibrium and released. After 2…

A: Find the equation for the amplitude in terms of t as variable using the exponential decay equation.

Q: Determine which investment would produce a greater amount if you invested $120,000 at 5.7% for 25…

A:

Q: 4. Solve for x. Use a common base and exact values wherever possible. Show your work. Round decimal…

A: If ax=ay, then using the one-to-one property of the exponential functions, it can be written that:…

Q: Solve the problem. When needed, use 365 days per year and 30 days per month. An initial investment…

A:

Q: pring is attached to the ceiling and pulled 16 cm down from equilibrium and released. After 4…

A:

Q: sts stocked a lake with 300 fish and estimated the carrying capa that species in that lake) to be…

A:

Q: The rate of auto thefts doubles every 8 months. (a) Determine, to two decimal places, the base b for…

A: the rate of auto thefts doubles every 8 month.

Q: Find the half-life of a radioactive element, The half-life of the element is which decays according…

A:

Q: Application: A = Pe"t 11. You invest $500 at an annual rate of 6.75%, compounded continuously. How…

A:

Q: The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

A: We will use the fact that at half life the amount of the substance remaining is (A_o)/2 to find the…

Q: Jevante invested $10,000 at 3% interest compounded continuously. How much will he have after 4…

A:

Q: 5. Condense log, a + log, (x - 3) into a single logarithm term then solve the equation log, x + log,…

A: The detailed solution is given below Thank you

Q: Suppose that 1000 is invested in a savings account in which interest is compounded continuously at…

A: