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Phoenix [80]
3 years ago
8

You plan to invest in securities pay more 11.2% compounded annually. if you invest $5000 today, how many years will it take for

your investment to grow to $9,140.20
Business
1 answer:
Margarita [4]3 years ago
7 0

Answer:

t\approx6\hspace{3}years

Explanation:

When interest is compounded annually, we can use the following formula to calculate the amount in the account at the end of a given time period.:

FV=PV(1+r)^t

Where:

FV=Future\hspace{3}value=9140.20\\PV=Present\hspace{3}value=5000\\r=Interest\hspace{3}rate=11.2\%=0.112\\t=Time

Let's solve the previous equation for t:

Divide both sides by PV:

\frac{FV}{PV} =\frac{PV}{PV} (1+r)^t\\\\\frac{FV}{PV} =  (1+r)^t

Take the natural logarithm of both sides:

log(\frac{FV}{PV}) = log( (1+r)^t)\\\\Use\hspace{3}the\hspace{3}identity\hspace{5}log(a^b)=b*log(a)\\\\log(\frac{FV}{PV}) =t* log(1+r)\\\\Divide\hspace{3}both\hspace{3}sides\hspace{3}by\hspace{3}log(1+r)\\\\t=\frac{log(\frac{FV}{PV})}{log(1+r)}

Replace the data provided by the problem:

t=\frac{log(\frac{9140.20}{5000})}{log(1+0.112)}

t=5.682396777\approx 6\hspace{3}years

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The united states economy is experiencing high inflation and real gdp is greater than potential gdp. Describe the actions taken
BARSIC [14]

Sale ; higher.

The result will be a decrease in the money supply and unemployment.

Money supply:

The entire amount of money in circulation in the economy at any given time is referred to as the money supply. The amount of money in circulation and demand deposits are typically considered standard measures of money. These are statistics that are typically compiled and released by the national government or central bank. In terms of consumerism, supply and demand also depend on the availability of money.

  • When the New York Fed sells assets on the open market to reduce the amount of money in circulation, the money supply curve shifts to the left, the interest rate rises, the demand for investments declines, and the AD curve shifts to the left. In the end, the inflation rate falls at the expense of a reduced RGDP.
  • Real GDP exceeding potential GDP indicates that the economy is producing more than it can sustainably produce and that aggregate demand is greater than aggregate supply. Price hikes and inflation are expected to follow in this situation.
  • Employment in full GDP is the fictitious GDP level that an economy would reach if it reported full employment, i.e., it is the level of GDP that would result in zero unemployment.

In the given question, the requirement is to reduce real GDP and thus reduce unemployment.

Hence, the government will use contractionary policy to reduce unemployment.

Thus, the Fed will conduct an open market sale to hit the new higher federal funds rate target.

Sale ; higher

Reason: The result will be a decrease in the money supply and unemployment.

The currency base shrinks. Money is less plentiful, and interest rates are rising.

The supply of loanable funds decreases, and long-term interest rate rises.

decreases ; rises

Reason: Savings will decline due to a declining money supply, which will also cause a decline in the amount of cash available for loans, raising interest rates.

decreases ; decreases

Investment will decline as interest rates rise and thus $\mathrm{AD}$ will also reduce since investment is a component of $\mathrm{AD}$

Learn more about money supply here brainly.com/question/3625390

#SPJ4

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King salons leased equipment from smith co on july 1 in a finance lease. the present value of the lease payments discounted at 1
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Answer:

The amount of interest revenue is $ 3,996.

Explanation:

The Lease receivable at December 31,2021 is =79,100-12,500=66,600

Acording to the details The X Interest rate is 12% and The X Fraction of year is 6/12.

Hence, the calculation of The Interest revenue in December 31,2021 is =

=66,600×12%×6/12= $ 3,996 is the amount of interest revenue from the lease should smith co report in its dec 31 2021 income statment

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What places are likely to support a large consumer population?.
Tresset [83]

The places to support a large consumer population are the areas with abundant water and sunlight.

<h3>What is the population?</h3>

The population is defined as the number of persons in a single area, whether it would be a country, region, or any locality.

Governments normally specify the size of the resident population inside their jurisdiction using a count, a methodology of collecting, analyzing, gathering, and publishing data regarding a population.

The large consumer population supports the area where there is abundant water and sunlight.

Therefore, abundant water and sunlight support a large consumer population.

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Explanation:

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