1. Twelve increased by a number a
2. Thirty one less than a number r
3. The product of nineteen and a number t
4. b divided by a three
5. Three is less than a number c
6. Two is added by the number x which is divided by eight
7. Six is less than a number y which is divided by eleven
8. Twenty one times a number d increased by thirteen
Answer:
225 square feet
Step-by-step explanation:
the base of the pyramid would be 76 ft², since 12*6=72. Then you get the surface area of the sides. 2 of the sides would be 48 ft², since (12*8)/2=48. The other 2 sides would be 28.5 ft², since (6*9.5)/2-28.5. Then you just add the surface areas of all the sides; 76+48+48+28.5+28.5 to get 225.
Hope this helps! :)
The sequence is geometric. Any exponential function models geometric growth. Recall the general nth term of a geometric sequence is a*(r)^(n-1) which is very similar to the form y = a*b^x. The big difference is that the x function is continuous while the function in terms of n is discrete. In this case, the common ratio is r = 1.10 to indicate we have 10% growth. Notice how 100%+10% = 1.00+0.10 = 1.10
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The first quadrant is where x and y are both positive. Since x is the time in years, it doesn't make sense to talk about negative years or negative years have passed by. We can have a negative balance in a bank account, so it makes sense to have y be negative. However, Mr Sullivan starts with some positive amount and his account grows every year. So there's no way that y can be negative in this case.
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The point (0,200) is the y intercept. It represents the starting amount he deposited into the account, which was the $200. Keep in mind that no other deposits were made, and he cannot pull money out of the account if he wants his account to grow according to the graph. Also, the interest rate must remain at 10%.
Answer is C. By solving x-y=-5 to x=-5+y and converting 2x + y = -1 into 2x + x + 5 = -1 the answer becomes -2 =x. By plugging that into 2 (-2) + y = -1, the answer is y=3. So your answer is C
