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5x-781235781578135738157832x = -(781235781578135738157827x)

Melody....the shaded bit is the area inside the large circle that is not occupied by the seven smaller circles........I had a good GeoGebra presentation of it.....but......I can't upload any pics.....{BOO !!!]

1.907*10^7=19070000

19070000*.225 = 4290750

Thomas is planning to withdraw $ 8000 from a savings account at the end of each quarter for four years. If the payments are deferred for five years and interest is 5.34% compounded semi- annually, what amount has to be invested now into the savings account?

Any help with steps would be greatly appreciated. Thanks

This is very similar to Mrs. Bell's problem:

Thomas must invest today into his savings account: $88,092.69. You project this amount 5 years into the future which will come to:$114,650.38. This will enable Thomas to withdraw $8,000 each quarter for 4 years.

The formulae used here are exactly the same as the ones given in Mrs. Bell's problem.

4x2+6/3-5

Mrs. Bell expects to retire in 7 years and would like to receive $ 800 at the end of each month for 10 years following the date of her retirement. How much must Mrs. Bell deposit today in an account paying 7.5% compounded semi- annually to receive the monthly payments?

Any help with steps would be greatly appreciated. Thanks

Mrs. Bell must deposit today $40,456.61. We project this amount 7 years into the future and we get

$67,736.54. This will enable Mrs. Bell to withdraw $800 per month every month for 10 years.

This is a bit tricky to calculate. First, you have to find the PV of 120 payments of $800 each, which comes to $67,736.54. But, this amount is 7 years in the future. So, you have to find its PV today:

Here are the two formulae you need to do this:

PV=P{[1 + R]^N - 1.[1 + R]^-N} R^-1=PV OF $1 PER PERIOD...........(1)

Once you found that, then you set it as FV and find its PV according to this common formula:

PV=FV[1 + R]^-N=PV OF $1 IN THE FUTURE....................................(2)

Where R=Interest rate per period, N=number of periods, P=periodic payment.

PV=Present value, FV=Future value.

Thank you Alan.   

DO YOUR OWN WORK. DON'T RELY ON OTHER PEOPLE. THEY COULD GIVE YOU FAKE ANSWERS.

I'll be right back. messege me if you need me.

This is known as the harmonic series and the partial sum is given by:

\(\Sigma_{k=1}^n\frac{1}{k}=\gamma+\psi_0(n+1)\)

where \(\gamma\)  is the Euler-Mascheroni constant (0.5772....)

and \(\psi_0(x)\)  is the digamma function

(see http://mathworld.wolfram.com/HarmonicSeries.html)

This is far from elementary mathematics!!

Josie won $ 8000 in an essay- writing contest. The money was deposited into a savings account earning 4.2% compounded monthly. She intends to leave the money for five-and-a-half years, then withdraw amounts at the end of each month for the next four years while she studies to become an entrepreneur. What will be the size of each withdrawal?

Any help with steps would be greatly appreciated. Thanks

Josie should have accumulated $10,074.81 at the end of 5 1/2 years. Again, here is the formula used to calculate this: FV=PV[1 + R]^N=FV OF $1 TODAY,

Where R=Interest rate per period, N=number of periods, P=periodic payment.

PV=Present value, FV=Future value

Josie should be able to withdraw $228.38 per month, every month for 4 years. Here is the formula to calculate the payments, if you wish to check them:

PMT=PV. R.{[1 + R]^N/ [1 + R]^N - 1}=PMT NEEDED TO WITHDRAW THE ENTIRE AMT. SAVED.

Your question does not make sense Hayley :)

I have drawn attention to your question here

http://web2.0calc.com/questions/unanswered-questions-that-stand-out-for-some-reason

if tanx=3/8 find x,

Find the arctangent of 3/8.

atan(3/8)=.375

atan=20.556, therefore,

x=20.556 degrees.

Simplify the following:
25 (d-10)-23 (d+6)

25 (d-10) = 25 d-250:
25 d-250-23 (d+6)

-23 (d+6) = -138-23 d:
25 d+-138-23 d-250

Grouping like terms, 25 d-23 d-250-138 = (25 d-23 d)+(-250-138):
(25 d-23 d)+(-250-138)

25 d-23 d = 2 d:
2 d+(-250-138)

-250-138 = -388:
2 d+-388

Factor 2 out of 2 d-388:
Answer: |  2 (d-194)
 

-8 multiplied by -4 equals what

-8 X -4=32 or +32, which is the same thing.

The cost of gasoline has decreased recently by 6.5%. The original cost was $3.50 what is the price decreased. I'm having trouble finding the answer can you help me?

$3.50 X 6.5%=.2275 cents-reduction in the price of gasoline

$3.50 - .2275=$3.2725 or $3.27 the price of gasoline after discount.

You cannot find the square root of a negative number ( in the real number system) because

No number multiplied by itself can be negative

For example

5*5=+25

-7*-7=+49

so

\(i=\sqrt{-1}\)

is the basis of imaginary numbers.   

a chromebook

i want to delete things on the search bar. my history is blocked. on the web bar it has sights you've looked up and everthing, i want to delete that. please help! 

It depends what do you need hlep with? And what kind of laptop do you have?

Claude made semi-annual deposits of $3100 at the beginning of a six-month period into a fund earning 6.8% compounded semi-annually for nine years. No further deposits were made.

(a) How much will be in the account 15 years after the first deposit?

(b) How much in total was deposited?

(c) How much interest will have been earned?

Any help would be greatly appreciated with steps. Thanks

Claude should have accumulated a total of $77,820.42 after the 1st. nine years.

Here is the formula used to calculate this, if you wish to verify the result:

FV=P{[1 + R]^N - 1/ R}=FV OF $1 PER PERIOD.Where R=Interest rate per period, N=number of periods, P=periodic payment.

(a) Now, we have to find the FV of the above amount for another 6 years, which comes to $116,235.83. The formula for this is the common:FV=PV[1 + R]^N=FV OF $1 TODAY.

(b) $3,100 X 18=$55,800 was deposited in total.

(c) over the 1st. nine years=$77,820.42 - $55,800=$22,020.42 interest earned.

     over the entire 15 years=$116,235.83 - $55,800=$60,435.83 interest earned.

P.S. You have to remember to set your calculations to the beginning of the period.

x=9

you're welcome

A)1560cc
(pi*r^2)*s*4
s=stroke in cm
r=1/2 bore in cm

Pls answer the first question in words i need help with dat