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nevsk [136]
3 years ago
12

Is this correct? I don’t think it is at all lol. Help me please!

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Keith's bank account starts with $250 and he adds $150 to it every month. If <em>m</em> is the number of months that have passed, then the amount of money (in dollars) in his account is given by

250 + 150<em>m</em>

<em />

Victoria's account starts with $2000 and she removes half of it each month. So after <em>m</em> months, her account has a value of

2000/2^<em>m</em>

<em />

If you were to plot these amounts, then

(a) Keith's account's value is indeed linear - TRUE

(b) Keith is constantly adding money to his account, so its value is increasing - FALSE

(c) Victoria's account's value involves an exponential expression - TRUE

(d) Victoria is removing money, so the value is decreasing - TRUE

Your answers are correct except for (c).

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At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height
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Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x            which is the height of the tree.

c = 3*x + 1   so we are trying to find x.  Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2        

35^2 + x^2 = 9x^2 + 6x + 1     Subtract x^2 from both sides.

35^2 = 8x^2 + 6x + 1               Subtract 35^2 from both sides.

0 = 8x^2 + 6x + 1 - 35^2

0 = 8x^2 + 6x - 1224

Does this factor?

(x + 12.75)(x - 12)

x - 12 = 0 is the only value that works.

x = 12

The tree is 12 feet high.

Note: I used the quadratic formula to solve this.

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