2) f (x) = 3375* if x = 1/3

Q: Solve for 'x' in the following equation: 4.7 = -log(1.76 x 10-5) + log(x / 0.16)

A: 4.7=-log(1.76×10-5)+logx0.164.7+log(1.76×10-5)=logx0.164.7+log(1.76)+log(10-5)=logx0.164.7+0.5653-5(…

Q: How long, to the nearest year, will it take me to become a millionaire if I invest $3000 at 9%…

A:

Q: look at attachment need for reference

A:

Q: (*) for a exponential function with a base of 4 that passes through the point 0 ns, different from…

A: We have to find the following conditions according to the given information

Q: Solve for x in the following equation: 4.7 = -log(1.76 E -5) + log (x / 0.16)

A: This question is based on properties of logarithm.

Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with…

A:

Q: Find the time it takes for $8,900 to double when invested at an annual interest rate of 8%,…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

A:

Q: How long (in years) would $9,000 have to be invested at 8% compounded continuously to earn $1,561.60…

A: Concept:

Q: To get $800 after 212years at 8% compounded continuously

A: $800 after 212 years at 8% compounded continuously.

Q: If log2 (6x + 6) = 4, then x = You may enter the exact value or round to 4 decimal places.

A: We have to find the value of x.

Q: If $7000 is invested at 7% compounded continuously, what is the amount after 7 years? The amount…

A:

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

A:

Q: How much money invested at 5% compounded continuously for 3 years will result in $82

A:

Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

A:

Q: Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with…

A:

Q: A saving account deposit of $150 is to earn 6.5% compounded continuously. What amount should have…

A: Use the formula for the compound interest and substitute the given values than simplify.

Q: y = loga 4x 6.

A: Differentiate with respect to x.

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

A:

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

A:

Q: A prestigious bank offers a CD that earns 4.15% interest compounded continuously. Say a CD is…

A:

Q: what is the compound interest if $43000 is invested for 5 years at 6% compounded continuously?

A: Given,           The compound interest if $43000 is invested for 5 years at 6% compounded…

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: Formula to calculate continuously compounded interest: A = Pert where, A is Amount at time t,P =…

Q: Suppose that you have $2500 to invest at 4% compounded continuously.  The accumulated amount after…

A: Given investment amount $2500 and rate of interest r=4%=4100=0.04. Compounded continuously. The main…

Q: How long (in years) will it take a $300 investment to be worth $400 if it is continuously compounded…

A:

Q: In the given question/ as follows, solve for x accurate to three decimal places?   ln x = 2

A: We know that, from the property of logarithm lna=b⇔eb=a

Q: How long does it take S1700 to double if invested at 7% interest, compounded continuously?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Solve for x accurate to three decimal places.

A: Solve for x accurate to three decimal places.  50001+e2x=2

Q: How long to the nearest year will it take $50,000 to triple in values at7.5% annual interest…

A:

Q: Solve graphically with your calculator. Round answers to 2 decimal places. а.) 4* = VE b.) log r =…

A:

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: How long, to the nearest year, will It take an Investment to double if it is continuously compounded…

A: An investment P compounded continuously at a rate of interest of r % per year for t years…

Q: Solve the following equation for x: log3(ln(x)) = 2.

A:

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

A: We need to find time when $200 will be worth $900.

Q: what is the compound interest if $ 43,000 is invested for 15 years at 8% compounded continuously

A:

Q: How long $2,700 should be invested at 4.5% compounded continuously to grow $5,803

A:

Q: Solve the problem. 9) If $5000 is invested in an account that pays interest compounded continuously,…

A: Given data: The initial amount is given as P=$5000. The rate of interest is r=7%=0.07. The final…

Q: 9

A: We need to solve

Q: How long will it take a $700 investment to be worth $1300 if it is continuously compounded at 10%…

A: If P is the principal, r=rate of interest, t= time in years, hen , amount is given by

Q: Solve the given problem related to continuous compounding interest. How long will it take $6000 to…

A:

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: We can find the required year in the following steps.

Q: How much money must be invested now at 10% interest compounded continuously so that $120, 000 will…

A:

Q: Find the present value of $45000 due 15 years later at 7.8%, compounded continuously. 24

A:

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period 4…

A: A= P ert

Q: Solve for x accurate to three decimal places.

A:

Q: . How long, to the nearest year, will it take me to become a millionaire if I invest $1,000 at 10%…

A:

Q: How long (in years) would $14,000 have to be invested at 6% compounded continuously to earn…

A: Use the formula of compound interest and p a the value.. Use calculator to get the answer

Q: How long (in years) will it take a $900 investment to be worth $1000 if it is continuously…

A: Amount = $1000 Principal=$900 Interest rate = 8%

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.