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Mandarinka [93]
3 years ago
15

You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per

year and has a maturity of five year from the day you purchased it. What is the total cash flow you expect to receive from this investment, if compounded quarterly, separated into the return on your investment?
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

a = p(1 +  \frac{r}{n} ) {}^{nt}

  • where p is the original amount.
  • R is the amount of percentage compounded
  • N is amount of times compounded per year.
  • T is how long the interest last.

P is 400,00p

T is 12% or 0.12

N is 4 since it is compounded quarterly

T is 5.

Plug the values in

400000(1 +  \frac{0.12}{4} ) {}^{20}

Ypu get

$722444.49386776

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-2

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Just do it

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3 years ago
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On the map of a town, 1 cm represents 6 miles. Find the distance represented by 4.5 cm
Daniel [21]

Answer:

27 miles

Step-by-step explanation:

1cm is 6 miles,

4.5cm is ?miles

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6 0
3 years ago
Two terms of an arithmetic sequence are a5=23 and a20=98. find the first 60 terms of the sequence
Mariulka [41]

Answer:

-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258

Step-by-step explanation:

The nth term of an arithmetic sequence is obtained using the formula:

a_n=a+(n-1)d

Given that: a_5=23$ and a_{20}=98.

a_n=a+(n-1)d

a_5=23=a+(5-1)d \implies a+4d=23\\a_{20}=98=a+(20-1)d \implies a+19d=98\\$We solve simultaneously$:\\a+19d=98\\a+4d=23\\15d=75\\d=5\\Recall:a+4d=23\\a+4(15)=23\\a=23-60\\a=-37

Therefore, the first 60 terms of the sequence are:

-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258

3 0
3 years ago
a piggy bank contains 100 coins consisting of nickels and dimes. the total value of the coins is $8.50. how many coins of each t
Leokris [45]
70 dimes 7.00
30 nickels 1.50
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3 0
4 years ago
AB has endpoints at (-1, -1) and (-2, -4). Its transformation A'B' has endpoints at (-2, -2) and (-4, -8). What type of transfor
Nataliya [291]
A dilation has occurred.
Yes the length has been affected; specifically it has been doubled (twice as long).

----------------------------------------------

Notice how the coordinates of (-1,-1) are doubled to get (-2,-2). Likewise when we go from (-2,-4) to (-4,-8). This shows us that we are dilating with a scale factor of 2, with the origin being the center of dilation. The scale factor 2 tells us that
new length = 2*(old length)

So the old figure is not going to be congruent to the new figure

To fully prove that the length has been doubled, you can use the distance formula to calculate the distance from (-1,-1) to (-2,-4) and that distance is sqrt(10) = 3.16 roughly

While the distance from (-2,-2) to (-4,-8) is 2*sqrt(10) = 6.32 roughly, so the distance has been doubled
5 0
4 years ago
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