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lys-0071 [83]
3 years ago
10

Alex wants to start an IRA that will have $1,250,675 in it when he retires in 30 years. How much should he invest semiannually i

n his IRA to do this if the interest is 4.5% compounded semiannually? Assume an Annuity Due. Round to the nearest cent.
Mathematics
2 answers:
gulaghasi [49]3 years ago
7 0
The formula of the future value of annuity due is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]×(1+r/k)
Fv future value 1250675
PMT semiannual payment?
R interest rate 0.045
K compounded semiannual 2
N time 30 years
Solve the formula for PMT
PMT=Fv÷ [(1+r/k)^(kn)-1)÷(r/k)]×(1+r/k) Plug in the formula
PMT=1,250,675÷((((1+0.045
÷2)^(2×30)−1)÷(0.045÷2))×(1+0.045÷2))
=9,828.44...Answer

Hope it helps!
Fofino [41]3 years ago
5 0

Answer:

$9828.44

Step-by-step explanation:

The semi annual payment is such that the future value of the annuity due is equal to the desired amount when he retires.

The formula to calculate future value of an annuity due periodic payment of M  for time period T for given periodic return r,

A=\frac{M(1+r)^{T+1}-(1+r)}{r}

in this question there are 30*2= 60 payments and the semi annual rate= 4.5/2= 2.25%

putting values we get

1250675= \frac{M(1+2.25%)^{60+1}-(1+2.25%)}{2.25%}

on solving we get M= $9828.44

Alex needs to invest $9828.44 semiannually in his IRA

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2 years ago
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Klio2033 [76]

Using it's concept, it is found that there is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, in the previous trial, one out of eight students read a book, hence:

p = 1/8 = 0.125 = 12.5%.

There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

More can be learned about probabilities at brainly.com/question/14398287

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2 years ago
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jasenka [17]
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2 years ago
The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

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3 years ago
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