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Nataly_w [17]
3 years ago
14

Raymond invested $3,500 and earned $257.25 in interest over 1 3/4 years. What was the rate?

Mathematics
1 answer:
Anarel [89]3 years ago
8 0
4.2% annually. 257.25 is 7.25% of 3500. Then you take 7.35 divided by 7 because is 4/4 + 3/4 = 7/4 so you take 7.35/ 7 and it comes out to 1.05 and then you multiply that by 4 quarters of a year. So the answer is 4.2% annually (yearly)
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Given r(x) = 11/ (x - 42)
julsineya [31]

For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

<u>The restriction is:</u>

x ≠ 4

<u>The inverse is:</u>

y = 4 + \sqrt{\frac{11}{x} }

Here our function is:

f(x) = \frac{11}{(x - 4)^2}

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

g(x) = a + \sqrt{\frac{b}{x} }

Evaluating this in our function we get:

g(f(x)) = a + \sqrt{\frac{b}{f(x)} }  = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)

Remember that the thing above must be equal to x, so we get:

g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

y = 4 + \sqrt{\frac{11}{x} }

If you want to learn more, you can read:

brainly.com/question/10300045

3 0
2 years ago
A book with 650 pages has 3 pages with diagrams.
Mrac [35]

The pages that have diagrams is an illustration of proportions

0.46% pages have diagrams

<h3>How to determine the percentage</h3>

The given parameters are:

Total = 650 pages

Diagrams = 3 pages

The percentage of page that has diagram is then calculated as:

Diagram\% = \frac{Diagrams}{Total} * 100\%

So, we have:

Diagram\% = \frac{3}{650} * 100\%

Evaluate the product

Diagram\% = \frac{300}{650} \%

Divide

Diagram\% = 0.46 \%

Hence, 0.46% pages have diagrams

Read more about proportions at:

brainly.com/question/1781657

3 0
2 years ago
I need help with math
Effectus [21]
what do you need help with, maybe I can help? 

4 0
3 years ago
In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad ones in the bag is 36, how many ora
iVinArrow [24]
Add the bad and good together. You get 81
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Sales tax for an item was 13.80$ and it cost 460$ before tax. Whats the sale tax rate in percentage?
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It is $2837383 dollars
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2 years ago
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