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:
Step-by-step explanation:
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Answer:
109
Step-by-step explanation:
Answer:
12 inches
Step-by-step explanation:
To solve you have to set up a ratio. Because both buildings are being shrunk the exact same amount, you just have to account for the size difference from the miniature and real life. The ratio is 21:3 and 84:x. To find x you just have to cross multiply and solve.
The equation comes out to be 252 = 21x
Divide both sides by 21 to get x.
252/21 = 12
The size of the 84 foot building as a model is 12 inches.
