Answer:
3a=6-3
Step-by-step explanation:
if you have the equation 3a + 3 = 6, you have to move 3 to the other side of the equation to isolate it. To do this, you subtract 3 from both sides giving you 3a=6-3
Hope this helped
Surface area = 2 pi (3x-2)^2 + 2 pi (3x -2) ( x + 3)
= 2 pi (9x^2 - 12x + 4 + 3x^2 + 7x - 6
= 2pi(12x^2 - 5x - 2)
Its D
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
We are given the following information
Investment = $5200
Annual interest rate = 4.2% = 0.042
Final amount = $16,500
Number of years = 27.7 years
Number of compoudings = quartely = 4
The student uses the following model
The general formula for compound interest is given by
As you can see, the number of compoundings is incorrect (3 vs 4)
The interest rate is also incorrect.
Let us substitute the given values into the above formula
Therefore, the final amount is approximately $16,543.5