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olchik [2.2K]
3 years ago
12

Randy puts $3000 into a savings account that earns 6% simple interest annually. After six years, how much money will Randy have

total in his account?
Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer:

$4080

Step-by-step explanation:

Step one:

given data

principal= $3000

rate = 6%= 0.06

time = 6 years

Required

The total amount in the account after 6 years

Step two:

We know that the final amount on a simple interest investment is computed using

A=P(1+rt)\\\\A=3000(1+0.06*6)\\\\A=3000(1+0.36)\\\\A=3000(1.36)\\\\A=4080

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To find the inverse of a function:
1. Replace f(x) with y.
2. Switch x and y.
3. Solve for y.
4. Replace y with f-1(x) (notation for inverse fucntions)

f(x)=2^{3x}+1
Let's use y instead of f(x).
y=2^{3x}+1
Switch the variables...
x=2^{3y}+1
Now, we solve for y.
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Now, just put that inverse function notation on there.

\boxed{f^{-1}(x)=\frac{log_2(x-1)}{3}}
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4 years ago
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Use the law of cosines to find each missing side. Round to the nearest tenth
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The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known. The value of x is 117.8°. thus, the correct option is A.

<h3>What is the Law of Cosine?</h3>

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

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