Find the amount we would need to deposit today as a lump sum to achieve $420,000 in 30 years at 6% interest, compounded monthly.

Q: Tom wants to have $6,000 in three years. At 4.75% interest compounded monthly, how much does he need…

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Q: How much did Speedy Movers borrow for a debt that accumulated to $51,238.44 in four years? The…

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Q: an insurance settlement of 750,000 must replace an injured workers income for the next 40 years.…

A: Given that, The insurance settlement amount, P=750,000. The rate of interest, r=6.2%. The time…

Q: A loan of $14400 is to be repaid in end of quarter payments of $600. How many payments are required…

A: *** This is the problem related to financial mathematics and we are advanced math expert and have…

Q: How much should Linda Bryan set aside now to buy equipment that costs ​$8,000 in one​ year? The…

A: For simple interest, the amount formula is, A = P + PRT100 and for compound interest, the formula is…

Q: You invested $9,000 at the end of each quarter for 8 years in an investment fund. If the balance in…

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Q: Parents wish to have $160,000 available for a child's education. If the child is now 10 years old,…

A: The formula for the future value is given by FV=PV1+rnnt  where PV is the present value, r is the…

Q: Steve decided to deposit $4,680 into a savings account with 6.5% interest, compounded quarterly.…

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Q: Find the time required for an investment of 4,000 dollars to grow to 6,000 dollars at an interest…

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Q: A $5000 investment is made in a savings account that pays 10%/a compounded quarterly. How long will…

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Q: Grace invested $5,200 in an account paying an interest rate of 4.6% compounded daily. Assuming no…

A: Given; Principal,P=$5200 Time,t=11 years Rate,r=4.6% compounded daily.

Q: If Landon invests $3,000 in a 6-year certificate of deposit at the annual rate of 7.75%, compounded…

A: Let A be the amount of future value of investment,then A can be calculated as follows

Q: Find the total amount of interest to the nearest cent if the interest is compounded annually. $2750…

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Q: If money earns 3.72% compounded quarterly, what single payment in three years would be equivalent to…

A: topic - compound interest

Q: Ken is paying P2,500 every 3 months for the amount he borrowed at an interest rate of 8% compounded…

A: Given information Paying every 3 months P=2,500 Interest rate r=8% compounded quarterly For…

Q: Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly. Assuming no…

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Q: A loan of $27,000 is made at 8.25% interest, compounded annually. After how many years will the…

A: A=P1+rtP is the initial amountA is the amount after t years.r is the rate of interest

Q: Austin invested $200 in an account paying an interest rate of 6.1% compounded quarterly. Assuming no…

A: Austin invested $200 in an account paying an interest rate of 6.1% compounded quartely.

Q: How much will you need to invest today in an account paying 7% compounding quarterly to have $10,000…

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Q: How much should Alexandra's dad invest into a savings account today, to be able to pay for…

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Q: Parents wish to have $80,000 available for a child’s education. If the child is now 5 years old, how…

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Q: Liz wants to accumulate at least $40,000 by depositing $900 at the end of each month into a fund…

A: As the interest rate is compounded monthly:   Part (a):   Future value for the annuity is computed…

Q: If you borrowed $200,000 to buy a house at 6% interest per year, compounded monthlyand paid back the…

A: Time =t= 30 years Compounded monthly , so n=number of times compounded in a year= 12interest rate =…

Q: paying 15.5%

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Q: find the present value of $75,000 if interest is paid at a rate 3% per year, compounded monthly for…

A: Only you have to careful what the question saying...wheather it is compounded yearly or compounded…

Q: An investment of $5,650 is made in an account compounded quarterly at 5.1%. How much will the…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: The cost of a four-year private college education (after financial aid) has been estimated to be…

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Q: Adam wishes to have $20,000 available in 18 years to purchase a new car for his son as a gift for…

A: Adam wishes to have $20,000 available in 18 years to purchase a new car for his son as a gift for…

Q: In order to have P1 million in a fund at the end of 15 years. how much must be deposited in the fund…

A: *** This is the problem related to financial mathematics and we are advanced math expert and have…

Q: How much would you need to deposit in an account now in order to have $6000 in the account in 10…

A: The future value of the deposit is $6000. The period is 10 years and the monthly compounded interest…

Q: How much did Speedy Movers borrow for a debt that accumulated to $56,036.80 in five years? The…

A: We need to find the amount that Speedy Movers borrow for a debt that accumulated to $ 56036.80 in…

Q: Nathan invested $3,500 in an account paying an interest rate of 3.5% compounded quarterly. Assuming…

A: Initial amount=P= 3500  Final amount=A=? Time= t=19 years  Interest rate=r= 3.5%= 0.035  Number of…

Q: A loan was repaid over seven years by end-of-month payments of $450. If interest was 12% compounded…

A: By using the formulas of future value we solve the given problem as follows :

Q: Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no…

A: Given P=53,000R=2.7%t=20 yearsWe know that compound interest=P(1+Rm)mt Here m is the no.of…

Q: How much can be paid in scholarships at the end of each year if $200 000 is deposited in a trust…

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Q: At the birth of their child, how much should a couple invest to have $20,000 on the child's 18-th…

A: The principal investment required to get a total amount of $20,000.00 from compound interest at a…

Q: Shawn invested $130 at the end of every month into an RRSP for 13 years. If the RRSP was growing at…

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Q: Erin has $250,000 saved for retirement in an account earning 3.4% interest, compounded quarterly.…

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Q: If you invested $300 now at 6.5% interest compounded monthly, how much money do you have available…

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Q: How much should a business save at the end of every quater if they need $100,000 in 5 years to pay…

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Q: Suppose you deposit $4000 in a CD paying 5% interest, compounded monthly. How much will you have in…

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Q: How much must you deposit in an account that pays 8% interest, compounded monthly, to have a balance…

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Q: You deposited $7000 in an investment fund that pays 5.5% per year, compounded quarterly. How much…

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Q: The buyer of a lot pays P 50,000.00 cash and P 10,000.00 every month for 10 years. If money is 8%…

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Q: You deposit $4000 in a bank with annual interest rate of 3.5% compounded monthly. What would your…

A: Here, P=$4000, n=1, r=0.035, and t=20.

Q: Madison invested $3,300 in an account paying an interest rate of 6.7% compounded daily. Assuming no…

A: The given data is: Medison invested P=$3300 Rate of interest R=6.7% Time t=5 years To find the…

Q: What lump sum do parents need to deposit in an account earning 5%, compounded monthly, so that it…

A: The compound interest formula is

Q: If we invest $4,000.00 in an investment accoint with a 3% APR interest rate, compounded monthly, how…

A: here we have  P=4000 r=3%=0.03 n=12 for monthly compound  t=6 years

Q: How much would you need to deposit in an account each month in order to have $40,000 in the account…

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Q: How much did Speedy Movers borrow for a debt that accumulated to $58,040.76 in five years? The…

A: To find out the borrowed amount.

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.