The federal tax code allows some items used for business purposes to be depreciated. That is, their taxable value decreases over time. A new van used in your delivery business has a taxable value of $27,000. The tax code allows you to depreciate this van by $1500 per year. Find a formula that gives the taxable value T, in dollars, of the van after n years of depreciation. T =

Q: Bethany needs to borrow $12,000. She can borrow the money at 5.5% simple interest for 3 yr or she…

A: Answer is mentioned below

Q: The federal tax code allows some items used for business purposes to be depreciated. That is, their…

A:

Q: To help her granddaughterwith university costs, Sasha's grandmother puts $250 into an account that…

A: NOTE: Refresh your page if you can't see any equations. . here we have  PMT=250 r=4.5%=0.045 t=6…

Q: w much money does Stewart have to invest at 2.9% interest compounded continuously to have $28,000…

A:

Q: Suppose that one year, the inflation rate for consumption goods was approximately 3%. If this rate…

A: Given problem:- Suppose that one year, the inflation rate for consumption goods was approximately…

Q: The federal tax code allows some items used for business purposes to be depreciated. That is, their…

A: It is given that the new van used in delivery business has a taxable value of $23,000. It is also…

Q: Complete the table to determine the balance A for $1400 invested at rate r for t years and…

A: Given, P = $ 1400 ;    r = 4% ;        t = 10 years Now we have the relationship A= P(1+r/100n)nt…

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.13 L, replace with water, mix,…

A: As per bertleby guideline I have to solve only first question or first three subparts. So for answer…

Q: if the principal p is invested at an interest rate r compounded annually, the amount after t years…

A: Here, A=20,000P=10,000r=15%=0.15

Q: A total of $50000 is invested, part of it at 5% and the rest at 7.5%. The totalinterest after one…

A:

Q: An investment income of $50,000 increases at a rate of 8.3% per year. Find the value of the…

A: Given query is to find the value of the investment after 20 years.

Q: Jerome will be buying a used car for $6,000 in 2 years. How much money should he ask his parents for…

A:

Q: Mary needs to borrow $11,000. She can borrow the money at 6.5% simple interest for 5 yr or she can…

A:

Q: Find the cost of purchasing an annuity that pays $45,000 a year for 25 years and the payments start…

A: Here we have formula to find out the interest rate, ∫  f(t)e-rtdt

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 annual rate, r, compounded annually, it takes for 1 dollar to grow to A dollars in 2 years is…

A:

Q: Solve manually using formulas. At an annual effective interest rate i, an investment of 1 unit…

A:

Q: The sales decay for a product is given by S = 50,000 e -0.8x, where S is the monthly sales and x is…

A: Consider the given question,(1)The sales 4 months after the end of the campaign is find as,

Q: vehicle purchased for $25,000 depreciates at a constant rate of 5%. The time in the appropriate…

A:

Q: If the principal P is invented at an interest rate r compounded anually, the amount A after t years…

A: Given P = 10000A = 20000r = 15%

Q: You have $50,000 and wish to invest part at 10% and the rest at 6%. How much should be invested at…

A: You have $50,000 and wish to invest part at 10% and the rest at 6% To find: How much should be…

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 simple interest on a $3,000 loan at 6% per year amounted to $1080. At what time t did the loan…

A:

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: Juliana invested $5,000 at 5.25% p.a. simple interest. How many days will it take for her investment…

A:

Q: If the population of a certain county was 100,000 in 1998 and 110,339 in 2008 and the formula  y =…

A:

Q: Bethany needs to borrow $11,000. She can borrow the money at 5.5% simple interest for 6 yr or she…

A:

Q: How long will it take 200,000 to increase by 80,000 if invested at 8% converted annually

A: Here in the given question:   Principal amount P = 80,000   Final amount (A) = 2,00,000   Interest…

Q: How long must $3700 be invested at 9% p.a. simple interest to give interest of $2331?

A: We will find out the required value.

Q: Renata invested $500 at 5% compounded monthly for 4 years. What will the investment be worth at the…

A: We know that, A= P(1+(r/n))nt where, = final amount = initial principal balance = interest…

Q: How long will it take for an investment of 1700 dollars to grow to 5300 dollars, if the effective…

A: we have to find the value of time by using formulla of compound interest. the solution is following

Q: Hannah wants to have $ 4500 to help pay for a new deck in 7 years. If she wants to put her money…

A:

Q: ose hopes to earn $700 in interest in 4.1 years time from $56,000 that he has available to invest.…

A:

Q: How much of a 102-mg sample would be remaining after 7 years? b) If the half-life were shorter than…

A: In this question, we use the application of differential equation to calculate the amount of lead…

Q: Suppose a man takes out a $350 loan from a pawn shop, and the loan must be paid off with a single…

A:

Q: In order to save for her high school graduation, Marie decided to save P200 at the end of each…

A: Given: Monthly amount (R) = 200 Monthly interest rate (i') = 0.000208 Time in months (n) = 72

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: An investment of $3000 increases at a rate of 3% per year What is the value of the investment after…

A: Topic = Algebra The value of the investment after 30 years is $5700.

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.07 L, replace with water, mix,…

A:

Q: The annual inflation rate is 3.7% per year. If a movie ticket costs $11.00 today, find a formula for…

A: Given, Annual inflammation rate per year = 3.7%  And, price of movie ticket today= $11.00

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.07 L, replace with water, mix,…

A:

Q: The formula for the amount A in a savings account compoun ded n times per year for t years at an…

A:

Q: A sum of money invested at compound interest doubles itself in 3 years. In how many years will it…

A: B) 9 years

Q: Jerome will be buying a used car for $11,000 in 2 years. How much money should he ask his parents…

A: Explained below

Q: A jet ski that cost $14,600 when new will have no salvage value after 5 years. Find its annual rate…

A: Annual rate of depreciation can be calculated using straight line depreciation. Annual rate of…

Q: Jerome will be buying a used car for $12,000 in 2 years. How much money should he ask his parents…

A:

Q: Complete the table to find the balance A for P dollars invested at rate r for t years, compounded n…

A: Consider the given values and the formula for compound interest. P=$ 1000r=10%=10100=0.1t=35…

Q: if $2000 is invested at 5%, compounded continuosly for t years, the value, A of the investment is…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.