geno3141

From:       1.000 000 000 000 000 000 000 000 000 00 

Subtract:  0.000 000 000 000 000 000 000 000 001 67

To get your answer.

Draw each triangle, label all three angles, and put in the measurements that you know.

Circle the angle that you want to find. In relation to this angle, label the three sides as "opp" (for "opposite"), "adj" (for "adjacent", and "hyp" (for "hypotenuse").

If you know the two sides opp and hyp, use sin:  sin(angle) = opp/hyp.

If you know the two sides adj and hyp, use cos:  cos(angle) = cos/hyp.

If you know the two sides opp and adj, use tan:  tan(angle) = opp/hyp.

You are finding the area of a triangle, using the formula:  Area  =  0.5·a·c·sin(B)

You know the values of all the variables that you need:    Area  =  0.5·5·6·sin(11.8)

Enter this into your calculator, and you will have the answer.

(2·22) / 2²

I would do what's inside first:  2·22 = 44

44 / 2²

I would handle the exponent next:  2² = 4

44 / 4  =  11

To find the amount of money that you must pay per period to pay back a loan, use this formula:

A  =  [P·r(1 + r)^n] / [ (1 + r)^n - 1]

where:  A = payback amount per period

             P = initial loan amount

             r = interest rate per period           (example 9% per year rate paid monthly:  0.09/12)

             n = total number of payments      (example: monthly payments for 8 years:  12·8)

6 will be a solution, if, when you enter 6 for x into the equation, the left side will equal the right side.

Left side:  6^2 - 4  =  36 - 4  =  32

Right side:  5(6)  =  30

They are not equal, so 6 is not a solution.

E = z·σ/√n

At 90% confidence, z = 1.645

E = 1.645·σ/√480

To complete this, you need the value of σ  -- do you have this value? If so, you can finish this calculation.

The compound interest formula is:    A  =  P(1 + r/n)^(n·t)

A = Final Amount         P = Beginning Amount = 32,600         r = rate (as a decimal) = 0.085

n = number of times compounded per year = 4                      t = number of years = 1

A  =  32600(1 + 0.085/4)^(4·1)    =    35460.58

Interest earned will be final amount minus beginning amount:  $35,460.58 - $32,600.00  =  $2860.58

Approximately 30.85%

Once you know the standard deviation value, the other values aren't necessary to find the percentage.

This is an exponential equation. 'a' is the coefficient' and 'b' is the base.