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Payment made at end of periods    so  'ordinary annuity' calculation

FV =   PMT *  [ (1+r)ⁿ -1 ] / r        

                                                  r   for all of these = .08/4           PMT = 150  

                                                   n is the number of quarters:

                                                                      a.  16      b. 3      c.  27      d.  82  

Just plug in the numbers and calculate for each of the time periods 

      ,.......I would recommend doing each twice to check these complex calculations !!  

This is a website mostly dedicated to math questions. However, we cannot write your essay for you.

Payment made at end of periods    so  'ordinary annuity' calculation

FV =   PMT *  [ (1+r)ⁿ -1 ] / r         r = decimal interest for period (period is 6 months)   =  .055/2

                                                      n = number of periods  6 x 2 = 12

                                                      PMT = 1000

                                                       FV = how much it is worth at the end of 6 years

plug in the numbers to get  $ 13992.14

26 grams = 26/454 pounds = (26*16)/454 ounces = 0.916 ounces

sin 35 degrees is roughly 0.5736.

\(5 \cdot 32 - 3 \cdot 8 + 5 \cdot 50 = 160-24+250 = \boxed{376}\)

Use the "period" button on your keyboard to input a decimal.

Cyclic quadrilaterals are quadrilaterals that have all four vertices on a circle. You can know quite a lot of information about them, such as Ptolemy's Theorem and Brahmagupta's formula. I haven't had the opportunity to learn about this as much as I liked, but I hope this gets you started.

Thank you!!

(x - 17) + (7x + 5) = 180

     x - 17 + 7x + 5 = 180

                 8x - 12 = 180

                        8x = 192

                          x = 24

We're looking for the largest value of f(x) * g(x). 

So, -5 * -2 = 10 which is the largest number. 

So the answer is 10.

=^._.^=

googol = 10^(100) = 1 followed by 100 zeros

ab^2 = 27/5

(a^2)b = 1080

Multiply: \(a^3b^3 = 5832 \quad \rightarrow \quad ab=18\)

We know that \(a^2b = 1080\), so dividing gets a = 60 and b = 3/10.

a + 5b = 60 + 3/10 * 5 = 60 + 3/2 = 61.5

two digit number AB ==> 10A + B

A + B = 12                                                                          . (1)

(10A + B) - (10B + A) = 18 ---> 11A - 9B  = 18                    . (2)

Solve the system.

A = 7

B = 5

The number is 75.

head start = 28 feet

overall speed of the two = 4.5 ft/sec - 0.5 ft/sec = 4 ft/sec

It takes 28/4 = 7 seconds for the hare to catch up.

Excellent, Logarythm   !!!

Thanks for helping! But the answer is a whole number.

I believe  this is correct:

The  path length  traveled  by  B  to B'    =   8r =  8 ( 2/pi)    =    16/pi   cm

See the following illustration  :

40% of x = $ 85

x = 85 / .4 = $ 212.50 originally in savings

Here :    https://web2.0calc.com/questions/ep-melody-cphil-please-come

\(\sqrt{245} = 7\sqrt{5}\)

\(3\sqrt{125} = 15\sqrt{5}\)

This means the denominator can be simplified to:

\((7 + 15 + 4)\sqrt{5} = 26\sqrt{5}\)

Which means the entire fraction is:
\(\frac{6}{26\sqrt{5}} = \frac{3}{13\sqrt{5}} = \frac{3\sqrt{5}}{65}\)

*** error ****   deleted     See Chris answer below...... I was looking for the link when he posted it !

Note that

sqrt (245)  =  sqrt  ( 49 * 5)  =  7sqrt (5)     and

3sqrt (125)  = 3 sqrt  ( 25 * 5 )   =  15 sqrt (5)  

So....the denominator  is  just      7sqrt (5)  +  15sqrt (5) + 4sqrt (5)  = 26sqrt (5)

So  we have

  6                             3             sqrt (5)                 3sqrt (5)

_________   =   _________  _______     =    ____________

26sqrt (5)              13sqrt (5)   sqrt (5)                    65