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Kobotan [32]
2 years ago
8

Nathan is opening a savings account that has 10% streaks simple interest rate. He deposits $75 in the account. After 5 years, he

will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded internet rate?
Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

brah

Step-by-step explanation:

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Jessica is playing a board game and uses a number cube to determine how many spaces she can move for each turn.
yulyashka [42]

Answer: 1 out of 6

Step-by-step explanation:  A number cube has 6 numbers on it. Only one of them is a two. If she were using two number cubes then she would have 2 out of 12 chances of landing on a number 2.

4 0
3 years ago
Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


5 0
3 years ago
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SCORPION-xisa [38]

Answer:

A. (-2,-1,0,1) .......

8 0
3 years ago
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Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equa
levacccp [35]

Answer:

D. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Step-by-step explanation:


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Carmen draws this area model to help her divide 1,800 by 9. She says the
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she is wrong because 1800/9 is 200.

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