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leva [86]
3 years ago
14

Help please and thank you ​

Mathematics
1 answer:
Dominik [7]3 years ago
3 0

Answer:

  D

Step-by-step explanation:

We assume the rotation R is <em>counterclockwise</em> 60°.

__

The exponent on R is the number of times it is applied. That is, R² = R(R(figure)). So, the composition is equivalent to R^(2-4) = R^-2.

When the exponent of R is negative, it is essentially the inverse function. That is, applying the function R to the result will give the figure you started with. Equivalently, it is rotation in the other direction.

  (\mathcal{R}^2\circ\mathcal{R}^{-4})(\text{figure})=\mathcal{R}^{-2}(\text{figure})=\text{figure rotated $120^{\circ}$ CW}

The point 120° clockwise from B is D.

The desired image point is D.

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Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

A(t)=P(1+\frac{r}{n})^{(n)(t)}

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

4672.12=P(1+\frac{.18}{12})^{(12)(3.5)} Simplifying it down a bit:

4672.12=P(1.015)^{42} Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

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