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3 years ago

Richard earns 2700 a month. He received a 3% raise. What is Richards new annual salary

1 answer:

7 0

$2700 \times 103\% = 2781 \: (monthly) \\ 2781 \times 12 = 33372 \: (annual)$
The answer is $33,372

Hope this helps.

- Max

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The equation of a line is x = -4. Will this produce a horizontal, vertical, or diagnol line?

Nuetrik [128]

Vertical because the line passed through -4 on the x axis

3 0

3 years ago

50 POINTS PLEASE HELP!!

Vinvika [58]

Answer: A. 35

Step-by-step explanation: The largest prime number less than 50. The largest number less than 50 is 49, but it is not prime, because 49=7·7. The previous number is 48, but it is also composite, because 48=2·2·2·2·3. The previous number is 47, it is prime.

The smallest composite number greater than 10. The smallest number greater than 10 is 11, but it is prime. The next number is 12, it is composite, because 12=2·2·3.

The difference between the largest prime number less than 50 and the smallest composite number greater than 10 is 47-12=35.

6 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

7 0

3 years ago

What is the slope of the line? A. -2 B. -1/2 C. 1/2 D. 2

Alexxandr [17]

To find the slope, you can either use the slope equation:
(y2-y1) / (x2-x1)
{I would recommend you remember this because you'll need to know this in the future}

or,

Just count. A slope is rise over run, so you see how far up the slope goes from one point to the other, (1), and then you see how far sideways the slope goes (2).
Going right, the slope is naturally declining downwards, so it's a negative.

The answer is B. -1/2.

6 0

3 years ago

Use distributive property to solve the equation 5( 2x +4) =30 A. x-2 B. x=1 c. =10

jeyben [28]

Answer:

Step-by-step explanation:

5(2x+4)=30

10x+20=30

10x=10

x=1

4 0

3 years ago

Read 2 more answers