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Keith_Richards [23]
4 years ago
10

Josie and Tyler play the following game. an integer between 0 and 799 inclusive is selected and given to josie. whenever josie r

eceives a number, she quadruples it and passes the result to tyler. whenever tyler receives a number he adds 25 to it and passes it to josie. the winner is the last person who produces a number less than 800. what is smallest initial number that results in a win for josie?
Mathematics
1 answer:
aleksley [76]4 years ago
4 0

Answer:

what grade you in

Step-by-step explanation:

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Identify the initial amount a and the rate of growth r (as a percent) of the exponential function y = 12(1.05)t. Evaluate the fu
aleksandrvk [35]

Answer

Exponential function is in the form of : y =a(1+r)^x .....[1]

where a is the initial amount and r is the growth rate and (1+r) is the growth factor.

Given the function: y = 12(1.05)^t

On comparing with equation [1] we have;

Initial amount(a) = 12

1+r = 1.05

Subtract 1 from both sides we get;

r = 0.05 or 5%

Growth (r) = 0.05 or 5%

Now, evaluate the function for t = 5 we have;

Substitute the value of t=5 in the given function we have;

y = 12(1.05)^{5}

y = 12 \cdot 1.27628156 = 15.3153787

Therefore, the value of function when t=5 to the nearest tenth is 15.3

7 0
3 years ago
Henri had a plum tree. The first week it was 15 feet. 2 weeks after that is was 22 feet and 2 more weeks later is was 36 feet. w
Alex

Answer:

The equation of tree's growth is given as : C(n)   =  15 + 7 n  ,

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Step-by-step explanation:

Here, the initial height of the plum tree =  15 ft

⇒h (0)  = 15 ft

Now, after two weeks the tree is 22 ft

⇒h (2)  = 22 ft

Now,the growth of tree in 2 weeks

=  Height after 2 weeks -  Initial height of tree

= 22 ft  -  15 ft = 7  ft

So, the plum tree grows 7 ft in 2 weeks

⇒ The plum tree grown (7/2) ft in 1 week.

Also, the growth of tree in next 2  weeks  =  36 ft

So, the growth of tree in next 2  weeks

= Height after 4 weeks - Height after 2 weeks

= 36 ft  - 22 ft  = 14 ft

So, the tree grows 14 ft in next two weeks.

⇒ The tree grows 7 ft in next 2 weeks.

hence, the complete growth of each week is given as:

15 ft , 18.5 ft ,  22 ft ,  29 ft , 36 ft

So, the equation of tree' growth is given as : C(n)   =  15 + 7 n

Here, n = Pair of weeks, n = 2, 4, 6 , 8 , ....

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