Answer:
h = 66
Step-by-step explanation:
We are given the equation of one variable h and we have to solve the equation for h.
The equation is given by
⇒
{Adding 17 to both sides}
⇒
⇒ h = 22 × 3 {Since we know that if
then we can write
}
⇒ h = 66 (Answer)
Answer:
faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that bottle was half full at 11.35 a.m. and full at 11.40 a.m.
This implies it takes 5 minutes for the liquid to double.
This is confirmed by the statement that before 5 minutes i.e. at 11.30 the bottle was only 1/4 full.
Hence true statements would be:
1) The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
2) The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m.
3) Exponential growth involves a constant multiplicative rate of change.
(The rate cannot be additional as we get 2 times every 5 minutes)
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%.