In the value of bonds, the symbol "M" means "thousands.
Therefore, 10 M = 10,000$

So, the customer bought a coupon with 10,000$ and the expected annual interest is 7.5% of the coupon's value.

Calculating the value of interest is simple, just multiply the interest rate (7.5%) by the original value of the coupon to know how much interest she will collect each year.

Interest collected each year = (7.5 / 100) x 1000 = 750$

5 0

3 years ago

The floor of Ajax’s rectangular dog house measures 8 feet by 6 feet. What is the area of the floor?

telo118 [61]

8 feet times 6 feet is 48 feet, B x H = A for rectangles...

6 0

2 years ago

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Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box.

yanalaym [24]

Answer:

Step-by-step explanation:

Find the LCM

6=2x3

8=2x2x2

9=3x3

12=2x2x3

LCM=2³x3²

=72

4 0

2 years ago

Suppose you want to transform the graph of the function into the graph of the function . Which transformations should you perfor

nexus9112 [7]

Answer:

A. Reflect the graph of the first function across x-axis, translate it $\frac{\pi}{4}$ to the left, and translate it 2 units up.

Step-by-step explanation:

We have the original function is $y=\tan (x+\frac{\pi}{4})-1$ .

The new transformed function is given by $y=-\tan (x+\frac{\pi}{2})+1$ .

So, we can see that the following sequence of transformations have been applied to the original function:

1. The function f(x) is reflected about x-axis i.e. f(x) becomes -f(x), which gives $y=-\tan (x+\frac{\pi}{4})-1$

2. This function obtained is translated $\frac{\pi}{4}$ units to the left i.e. $y=-\tan (x+\frac{\pi}{4}+\frac{\pi}{4})-1$ i.e. $y=-\tan (x+\frac{\pi}{2})-1$

3. Finally, this new function is translated 2 units upwards i.e. $y=-\tan (x+\frac{\pi}{2})-1+2$ i.e. $y=-\tan (x+\frac{\pi}{2})+1$

Hence, after applying, 'reflection across x-axis, translation of $\frac{\pi}{4}$ to the left, and translation of 2 units up', we get the required function.

3 0

3 years ago

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