Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation 2(3x-3)
-5-2(x-3)+ 15 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Type an integer or a simplified fraction.) O B. The solution set is {x x is a real number O C. The solution set is ø A chef has 10 brands of hot sauce. In how many ways can the chef pick 3 to mix into a gumbo? | different ways There are In order to start a small business, a student takes out a simple interest loan for $3000.00 for 9 months at a rate of 11.75% a. How much interest must the student pay? b. Find the future value of the loan a. The amount of interest is S (Round to the nearest cent as needed) b. The future value is $ (Round to the nearest cent as needed.) Use an algebraic equation to find the measure of each angle that is represented in terms of x. 2x+30° 2x+40 m & 2x+30° m & 2x+ 40°=
1 answer:
Answer and Step-by-step explanation:
(i) The solution for equation: 2(3x-3) - 5 = 2(x-3) + 15 is:
2(3x-3) - 5 = 2(x-3) + 15
6x - 6 - 5 = 2x - 6 +15
6x - 2x = - 6 + 15 + 6 + 5
4x = 20
x = 5
The solution x is a real number and equals 5.
(ii) Since the order of hot sauce that goes into the gumbo doesn't matter, use combination:
=
=
= 120
There are 120 ways of picking 3 sauces out of 10.
(iii) Interest is calculated as:
interest = principal*rate*time
Principal is the value of the loan;
Rate is how much it will increase;
Time is for how long the loan will be taken. In this case, time is 9/12 since it was for months;
Interest = 3000 *
Interest = 264.37
The interest the student will pay will be: $264.37.
Future Value = principal + interest
future value = 3000 + 264.37
future value = 3264.37
The future value for the student is $3264.37.
(iv) As shown in the image in the attachment, the sum of the equations equals 90:
2x + 30 + 2x + 40 = 90
4x = 20
x = 5
- 2x + 30 = 2.5 + 30 = 40
- 2x + 40 = 2.5 + 40 = 50
The angles are 40° and 50°
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