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:
a = 5
Step-by-step explanation:
assuming (a-1, 9) is in the form of (x,y):
9(a-1) - 5(9) = -9
9a - 9 - 45 = -9
9a = 45
a = 5
Answer:
Step-by-step explanation:
There are several ambiguities in your question upon which I feel disinclined to speculate. It cries out for an explanatory diagram:
For example (i.e. including but not only!):
1. What is the essential distinction between a plane and a regular pyramid?
2. Does each of the two solids have all of its own edges equal, independently of the other solid? Or are the corresponding edges of the two solids equal? Or are all edges of both solids equal?
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
Answer:
a. YES
b. NO
Step-by-step explanation:
On Saturday,
Querida gave away 416 coupons
on Sunday
she gave away about 52 coupons an hour.
a. Is the number of coupons Querida gave away on Sunday proportional to
the number of hours she worked that day?
YES
because, judging with saturday and sunday data, it can be deduced that
52 coupon = 1hour
416 coupon = 8hours = 1day
b. Is the total number of coupons Querida gave away on Saturday and
Sunday proportional to the number of hours she worked on Sunday?
NO
the total number of coupons Querida gave away on Saturday and
Sunday is proportional to twice the number of hours she worked on Sunday.
coupons (sat + sund) = 2* hours worked on Sunday
