0
How do you determine the instantaneous rate of change of compound interest compounded annually?
Wiki User
∙ 6y ago
The derivative is at*ln(a) wheret is the time period,
ln is the natural log
and a is the multiplier for the annual interest rate: eg if the interest rate is r% then a = (1 + r/100).
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoActually if it's compounded annually, there is NO change most of the time - until the end of the year. However, you can approximate this as an exponential function, and take the derivative, as Anand Mehta explained in another answer.
Add your answer:
Earn +20 pts
What is the future value of 3497 invested for 15 years at 7.5 percent compounded annually?
Total (compound interest) = p (r + 1)^ t, so plug in the numbers. 3497(1.075)^15 = 10347.1941. You can round that to 10347.19.
How much would 200 invested at 6 interest compounded annually be worth after 6 years?
Compound Interest = P(1+r/100n)(nt) P = Original Investment r = Interest Rate n = How often the interest is compounded per year t = Number of years Interest = 200(1+6/100)6 = 200(1.06)6 =$283.70
What is Principal of 4100 is invested 3.75 interest compounded annually. How much will the investment be worth after 6 years Use the calculator provided and round your answer to the nearest dollar.?
Inserting values into the formula for compound interest, you get:4100 * (1 + 3.75/100) to the power 6.
A sum of money doubles itself at compound interest compounded annually in 15 years-what is the rate of interest?
The formula is (1+r)^n -1. r= rate of return (ie 100%) n=number of compounding periods so (1+1)^15 -1= 32767 or 3276700%
How long will money in savings take to double at 5 percent interest compounded annually?
Use the "rule of 72"...simply put, using compound interest you take the number 72 and divide it by the interest rate. Thus, at 5% the time to double is 14.4 years. This formula can be used for calculating a "double" for any interest rate using the same mathematical procedure.
What is compound interest on 15000 at 6 percent compounded annually for 2 years?
1257
What type of interest is on a specific time frame?
The definition of periodic interest rate is an interest rate figured over a specific time frame. Compound interest is also figured on a specific time frame. For instance, some interest is compounded quarterly, some is compounded annually or semi-annually, or even monthly.
What type of interest is figured on a specific time frame?
The definition of periodic interest rate is an interest rate figured over a specific time frame. Compound interest is also figured on a specific time frame. For instance, some interest is compounded quarterly, some is compounded annually or semi-annually, or even monthly.
What is meant by p.c.p.a. as interest?
P.C.P.A. is the "Percent Compounded Per Annum." This measurement is used when trying to determine the compound interest for previous years.
What is the past tense of compound?
Compounded.
Is there an adverb for compound?
No. There is no formal word to express the adjectives compound or compounded as an adverb.
What is the future value of 3497 invested for 15 years at 7.5 percent compounded annually?
Total (compound interest) = p (r + 1)^ t, so plug in the numbers. 3497(1.075)^15 = 10347.1941. You can round that to 10347.19.
At what nominal compound interest rate compounded semi-annually will a sum of money be doubled in 21 months?
if there are two payments a year, at the beginning of the year and at 6 months, plus one payment at the end of 21 months then at an annualised compound rate of 21.9% your money will double in 21 months.
Why is Na not a compound?
It is an element and it is thus "not compounded" with another element(s)
How much compound interest is earned on 15750 principal with an annual interest rate of 2 compounded annually over 3.5 years?
The analytical answer is 1130.34 but banks are not likely to round up when it comes to paying you money so I would say 1130.33
Matthew invests 1000 at 8 percent compounded annually for 2 years Find the compound interest?
Total after 2 years = 1000*(1.08)2 = 1000*1.1664 =1166.40 So interest = Total - Inirial capital = 1166.40 -1000 = 166.40
How much would 200 invested at 6 interest compounded annually be worth after 6 years?
Compound Interest = P(1+r/100n)(nt) P = Original Investment r = Interest Rate n = How often the interest is compounded per year t = Number of years Interest = 200(1+6/100)6 = 200(1.06)6 =$283.70
