All Answers 356458 Answers

We see that the other 2 angles in the traingle equal:

180-90=90, and180-125=55

So the 3rd angle is 90+55=145 180-145=35

Melody's solution is accurate. It is the same as: 11! /(5! * 3! * 3!) =9,240 ways. Henry can sit with any group of 3.

66.4/360*2*7.9*3.14

66.4/360*49.612

=9.2 is our final answer.

10^n = solve sqrt(10^46/0.0001)/10^6, solve for n

Sqrt(10^50) / 10^6 = 10^n

10^25 / 10^6  = 10^n

10^19 = 10^n

n = 19

From the follwoing information, we construct the equations:

5n+10d=425

n+d=54

Using the method of substitution:

5n+10(54-n)=425

5n+540-10n=425

-5n=-115

n=23 and d=31 this is our final answer.

EP: A slight typo in your numbers: There are 67 multiples of 6 + There are 50 multiples of 8 =117 - There are 16 numbers which are divisible by both [120  144  168  192  216  240  264  288  312  336  360  384  408  432  456  480>>  Total =  16] = 101.

Ron is a good username for you :)

There is 360 degrees in a full revolution and 5 sides to a pentagon.

So the minimum would be 1/5 of a revolution.

****   Way off base....see answer below *****  

From the top line,

\(\displaystyle \frac{a^{2}}{(x-a)}+a=\frac{a^{2}+a(x-a)}{(x-a)}=\frac{ax}{(x-a)}.\)

Similarly,

\(\displaystyle \frac{b^{2}}{(x-b)}+b=\frac{bx}{(x-b)}\quad \text{and} \quad \frac{c^{2}}{(x-c)}+c=\frac{cx}{(x-c)}.\)

Now put those together, remove the x as a common factor and then cancel.

Result is simply x.

h = sqrt( 9 * 25 )

                                                             y / 34 = 25 / y

h = 15                                                    

                                                 or          y² = 850

y = sqrt(15² + 25²)

                                                              y = √850

y = √850

I never suggested that EP was wrong.

If this was a school question here, the student would be expected to use a GP. 

If it was a consumer finance question at a college then they would use the formula.

Convert 2800 MYR to US dollars as follows:

1 - 2800 x 0.325 = $910 US

$910 - $210 = $700 - Alyssa spent on her holidays

2 - $210 / 750 = $0.28 - Exchange rate for 1 MYR.

Hi Melody: EP's calculation is correct if monthly payments are made at the beginning of each month.

FV=79000; R=0.039/12; N=18*12;PMT = FV*(((1 + R)^N - 1)^-1* R);print" PMT =$",PMT

 PMT =$ 252.83 - Monthly payments made at the end of each month
 PMT =$ 252.01 - Monthly payments made at the beginning of each month.

When a box of unknown mass is placed into the trunk of a car, both rear shocks are
compressed a distance of 7.0cm. If we assume the two rear shocks are made from springs,
each with a spring constant value of k = 35000N/m, what is the mass of the box? (Assume g = 9.80m/s2). 

Hello Guest, hello Alan!

\(m\cdot g=2\cdot k\cdot \Delta s\)

\(m=\frac{2\cdot k\cdot \Delta s}{g}\)

\(\large m=\frac{2\cdot (\frac{35\cdot 10^3N}{m})\cdot 7cm}{9.8\frac{m}{s^2}}=\frac{2\cdot 35\cdot 10^3\cdot 7}{9.8}\cdot \frac{N\cdot cm\cdot s^2}{m^2 }\cdot \frac{kg\cdot m}{N\cdot s^2}\cdot \frac{m}{100\cdot cm}\)

\(m=500kg\)

  !

Find the equation of the line parallel to 6x + 3y - 11 = 0 that goes through the point (-2,5).

Hi Naci,

This question is very poorly worded. The meaning must be guessed.

My guess:

An annuity pays 3.9 % (yearly and nominal (the effective rate is a little higher), compound monthly.

What equal monthly deposit should be made into this annuity in order (at the beginning of each month?) to have $79,000 at the end of 18 years?

Anyway:

Your answer is far too simplistic. The money is going into an account each month and staying there for for 18 years.

18*12=216months      3.9/12=0.325% = 0.00325 interest per month

Assuming that the first installment is paid AT THE BEGINNING of the first month AND P dollars are deposited each month, then

the first deposit will grow to    P(1.00325)^216

the second deposit will grow to    P(1.00325)^215

...

the last deposit will grow to  P(1.00325)^1

You know that this will add to $79000 so you can solve it as a GP (assuming you know about GPs geometric progressions)

There are also formulas, that I have forgotten,  EP has used a financial mathematics formula.

Yes, EP means 222, and you mean 'thanks'  :)

250-25+1=226 numbers in total

25^(1/3) = 2.924017738212866

250^(1/3) = 6.299605249474365

so only 3cubed, 4 cubed, 5 cubed and 6 cubed will be perfect cubes.   There is 4 of them

You can finish it.  

sub the x value in and the value you get will be the remainder. 

If the zeros are -2, 3 and 4 that must mean the polynomial can be expressed as  (x + 2)*(x - 3)*(x - 4)

Multiply this out and collect like terms to find the coefficients. 

The magnitude of the force supplied by each spring is given by k*x, where x is the compression distance.  The total force from both springs must equal the weight of the box given by mass*g. 

i.e. find mass from:   mass*g = 2*k*x

(make sure the units are consistent).   

The polynomial of least degree is x^3 + 9x^2 - 2x - 24.