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2 years ago

Frank earns $59900 one year and receives a 7% raise in salary. What is his new salary?

Mathematics

2 answers:

vredina [299]2 years ago

7 0

Answer:

$64,093

Step-by-step explanation:

We're given that Frank gets a 7% raise from his original salary of $59900.

First we need to find 7% of 59900 and then add that value to 59900:

7% * 59900

Remember that % simply means "out of 100", so:

7% * 59900 = 7/100 * 59900 = 7 * 599 = $4193

Add this to 59900:

4193 + 59900 = $64,093

The answer is thus $64,093.

<em>~ an aesthetics lover</em>

777dan777 [17]2 years ago

6 0

Answer: 64,093

Step-by-step explanation:

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DIscrete Math

Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

$f : X \rightarrow Y$ is surjective implies there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ .
If there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ , then $f : X \rightarrow Y$ is surjective

Let us start by the first implication.

Our hypothesis is that the function $f : X \rightarrow Y$ is surjective. From this we know that for every $y\in Y$ there exist, at least, one $x\in X$ such that $y=f(x)$ .

Now, define the sets $X_y = \{x\in X: y=f(x)\}$ . Notice that the set $X_y$ is the pre-image of the element $y$ . Also, from the fact that $f$ is a function we deduce that $X_{y_1}\cap X_{y_2}=\emptyset$ , and because $f$ the sets $X_y$ are no empty.

From each set $X_y$ choose only one element $x_y$ , and notice that $f(x_y)=y$ .

So, we can define the function $h:Y\rightarrow X$ as $h(y)=x_y$ . It is no difficult to conclude that $f\circ h(y) = f(x_y)=y$ . With this we have that $f\circ h=1_Y$ , and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function $h:Y\rightarrow X$ such that $f\circ h=1_Y$ .

Take an element $y\in Y$ , then $f\circ h(y)=y$ . Now, write $x=h(y)$ and notice that $x\in X$ . Also, with this we have that $f(x)=y$ .

So, for every element $y\in Y$ we have found that an element $x\in X$ (recall that $x=h(y)$ ) such that $y=f(x)$ , which is equivalent to the fact that $f$ is surjective. Therefore, the prove is complete.

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2 years ago

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Musya8 [376]

Answer:

I WILL SAY THE 2 ONE

Step-by-step explanation:

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2 years ago

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ladessa [460]

Answer:

Eiediiih

Step-by-step explanation:

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2 years ago

F(x)3x+5/x what is f(a+2)

Natalija [7]

F(X) = (3x + 5)/X
F(a + 2) = (3(a + 2) + 5)/(a + 2)
F(a + 2) = (3a + 6 + 5)/(a+2)
F(a + 2) = (3a + 11)/(a + 2).

This would be the final solution.

4 0

2 years ago

Read 2 more answers

11/12 - 7/8 in fraction pls help

hjlf

Answer:

1/24

Step-by-step explanation:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

88 /96 -84 /96

Step 2

Since our denominators match, we can subtract the numerators.

88 − 84 = 4

So the answer is:

4 /96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

4 /96 ÷ 2 =2 /48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2 /48 ÷ 2 =1 /24

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing. There you have it! The final answer is:

11 /12 -7 /8=1 /24

6 0

2 years ago

Read 2 more answers

Frank earns ​$59900 one year and receives a 7​% raise in salary. What is his new​ salary?

Frank earns $59900 one year and receives a 7% raise in salary. What is his new salary?