1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KonstantinChe [14]
1 year ago
12

you deposit $3000 each year into an account earning 4% interest compounded annually. how much will you have in the account in 30

years?
Business
1 answer:
Elan Coil [88]1 year ago
8 0

The final balance is ₹9,730.2. The total compound interest is ₹6,730.2. If the deposit is  $3000 each year and 4% interest.

<h3>How to calculate compound interest ?</h3>

Compound interest is the addition of interest to the principal sum of a loan or deposit, or interest on interest plus interest.

The formula for annual compound interest is as follows:

FV = P (1+ r/m)^mt

FV - the future value of the investment, in our calculator it is the final balance

P - the initial balance

r - the annual interest rate

m - the number of times the interest is compounded per year

t - the numbers of years the money is invested for

initial balance P = $3000

number of years t = 30

Interest rate r = 4%

interest is compounded m = 1

The value of your investment after 30 years FV = ₹9,730.2

The profit will be FV - P = ₹9,730.2 - $3000 = $6,730.2

The final balance is ₹9,730.2.

The total compound interest is ₹6,730.2.

To learn more about compound interest refer :

brainly.com/question/24274034

#SPJ4

You might be interested in
Suppose that output (Y ) in an economy is given by the following aggregate production function: Yt = Kt + Nt where Kt is capital
shusha [124]

Answer:

Check the explanation

Explanation:

Yt = Kt + Nt

Taking output per worker, we divide by Nt

Yt/Nt = Kt/Nt + 1

yt = kt + 1

where yt is output per worker and kt is capital per worker.

a) With population being constant, savings rate s and depreciation rate δ.

ΔKt = It - δKt

dividing by Nt, we get

ΔKt/Nt = It/Nt - δKt/Nt ..... [1]

for kt = Kt/Nt, taking derivative

d(kt)/dt = d(Kt/Nt)/dt ... since Nt is a constant, we have

d(kt)/dt = d(Kt/Nt)/dt = (dKt/dt)/Nt = ΔKt/Nt = It/Nt - δKt/Nt = it - δkt

thus, Capital accumulation Δkt = i – δkt

In steady state, Δkt = 0

That is I – δkt = 0

S = I means that I = s.yt

Thus, s.yt – δkt = 0

Then kt* = s/δ(yt) = s(kt+1)/(δ )

kt*= skt/(δ) + s/(δ)

kt* - skt*/(δ) = s/(δ)

kt*(1- s/(δ) = s/(δ)

kt*((δ - s)/(δ) = s/(δ)

kt*(δ-s)) = s

kt* = s/(δ -s)

capital per worker is given by kt*

b) with population growth rate of n,

d(kt)/dt = d(Kt/Nt)/dt =

= \frac{\frac{dKt}{dt}Nt - \frac{dNt}{dt}Kt}{N^{2}t}

= \frac{dKt/dt}{Nt} - \frac{dNt/dt}{Nt}.\frac{Kt}{Nt}

= ΔKt/Nt - n.kt

because (dNt/dt)/Nt = growth rate of population = n and Kt/Nt = kt (capital per worker)

so, d(kt)/dt = ΔKt/Nt - n.kt

Δkt = ΔKt/Nt - n.kt = It/Nt - δKt/Nt - n.kt ......(from [1])

Δkt = it - δkt - n.kt

at steady state Δkt = it - δkt - n.kt = 0

s.yt - (δ + n)kt = 0........... since it = s.yt

kt* = s.yt/(δ + n) =s(kt+1)/(δ + n)

kt*= skt/(δ + n) + s/(δ + n)

kt* - skt*/(δ + n) = s/(δ + n)

kt*(1- s/(δ + n)) = s/(δ + n)

kt*((δ + n - s)/(δ + n)) = s/(δ + n)

kt*(δ + n -s)) = s

kt* = s/(δ + n -s)

.... is the steady state level of capital per worker with population growth rate of n.

3. a) capital per worker. in steady state Δkt = 0 therefore, growth rate of kt is zero

b) output per worker, yt = kt + 1

g(yt) = g(kt) = 0

since capital per worker is not growing, output per worker also does not grow.

c)capital.

kt* = s/(δ + n -s)

Kt*/Nt = s/(δ + n -s)

Kt* = sNt/(δ + n -s)

taking derivative with respect to t.

d(Kt*)/dt = s/(δ + n -s). dNt/dt

(dNt/dt)/N =n (population growth rate)

so dNt/dt = n.Nt

d(Kt*)/dt = s/(δ + n -s).n.Nt

dividing by Kt*

(d(Kt*)/dt)/Kt* = s/(δ + n -s).n.Nt/Kt* = sn/(δ + n -s). (Nt/Kt)

\frac{sn}{\delta +n-s}.\frac{Nt}{Kt}

using K/N = k

\frac{s}{\delta +n-s}.\frac{n}{kt}

plugging the value of kt*

\frac{sn}{\delta +n-s}.\frac{(\delta + n -s)}{s}

n

thus, Capital K grows at rate n

d) Yt = Kt + Nt

dYt/dt = dKt/dt + dNt/dt = s/(δ + n -s).n.Nt + n.Nt

using d(Kt*)/dt = s/(δ + n -s).n.Nt from previous part and that (dNt/dt)/N =n

dYt/dt = n.Nt(s/(δ + n -s) + 1) = n.Nt(s+ δ + n -s)/(δ + n -s) = n.Nt((δ + n)/(δ + n -s)

dYt/dt = n.Nt((δ + n)/(δ + n -s)

dividing by Yt

g(Yt) = n.(δ + n)/(δ + n -s).Nt/Yt

since Yt/Nt = yt

g(Yt) = n.(δ + n)/(δ + n -s) (1/yt)

at kt* = s/(δ + n -s), yt* = kt* + 1

so yt* = s/(δ + n -s) + 1 = (s + δ + n -s)/(δ + n -s) = (δ + n)/(δ + n -s)

thus, g(Yt) = n.(δ + n)/(δ + n -s) (1/yt) =  n.(δ + n)/(δ + n -s) ((δ + n -s)/(δ + n)) = n

therefore, in steady state Yt grows at rate n.

5 0
3 years ago
Debt-to-equity ratio is:
babymother [125]
The D/E ratio indicates how much debt a company is using to finance its assets relative to the value of shareholders' equity
5 0
3 years ago
Chair P, from Design Solutions, cost $60 per chair. Chair Q, from Seat Unlimited, costs $90 per chair. An office manager often h
quester [9]

Answer:

\frac{\$60p+\$90q}{p+q}

Explanation:

Data provided in the question:

Cost of chair P = $60

Cost of chair Q = $90

Number of chair P ordered = p

Number of chair Q ordered = q

Now,

Total number of chairs ordered

= Number of chair P ordered + Number of chair Q ordered

= p + q

Total cost of chairs ordered = $60p + $90q

Therefore,

Average cost of a chair

= [Total cost of chairs ordered ] ÷ [Total number of chairs ordered]

= \frac{\$60p+\$90q}{p+q}

8 0
3 years ago
Which One of the following is true about intraperiod tax allocation?
Digiron [165]

Answer:

D. Its purpose is to relate the income tax expense to the items which affect the amount of tax.

7 0
3 years ago
Which term describes what a manufacturer spends for goods or services?
Hoochie [10]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Cost is a <span>term describes what a manufacturer spends for goods or services.

</span>In production, research, retail, and accounting, a cost<span> is the value of money that has been used up to produce something, and hence is not available for use anymore. In business, the </span>cost<span> may be one of acquisition, in which case the amount of money expended to acquire it is counted as </span>cost<span>.</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • Before tuberculosis was understood to be a communicable disease, and before the discovery of antibiotics to treat it, a major ou
    6·1 answer
  • Several students are arguing over the actual year that the berlin wall came down. some of the students think it was in 1990, sev
    6·1 answer
  • Which data model has the highest level of abstraction?
    7·1 answer
  • In order to help an interviewer remember you, it is recommended to __________.
    13·2 answers
  • A company purchased land for $90,000 cash. Real estate brokers' commission was $5,000 and $7,000 was spent for demolishing an ol
    10·1 answer
  • 2. Best Ever Toys just paid its annual dividend of $1.78 per share. The required return is10.6 percent and the dividend growth r
    10·1 answer
  • The trading securities portfolio of Jerome, Inc., had a total cost of $3,000 and
    15·1 answer
  • One of two alternatives will be selected to reduce flood damage in a rural community in central Arizona. The estimates associate
    6·1 answer
  • GeonHouses, a leading manufacturer and supplier of crockery, charges three dollars for each soup bowl. The cost of manufacturing
    7·1 answer
  • If you had $500 to invest, what questions would you have as you decide how to invest your money?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!