The sales team at an electronics store sold 48 computers last month. The manager at the store wants to encourage the sales team to sell more computers and is going to give all the sales team members a bonus if the number of computers sold increases by 30% in the next month. a) What is the amount of increase in computers needed? b)What is the new amount of computers the team must sell?

Answer:

[tex]k=6, k=-1[/tex]

Step-by-step explanation:

                         [tex]\dfrac{k+3}{3}-\dfrac{2}{k-5}=1[/tex]

[tex]\implies \dfrac{(k+3)(k-5)}{3(k-5)}-\dfrac{3 \cdot 2}{3(k-5)}=1[/tex]

[tex]\implies \dfrac{k^2-2k-15-6}{3(k-5)}=1[/tex]

[tex]\implies k^2-2k-21=3k-15[/tex]

[tex]\implies k^2-5k-6=0[/tex]

[tex]\implies (k-6)(k+1)=0[/tex]

[tex]\implies k=6, k=-1[/tex]

Answer:

Step-by-step explanation:

x=4

Answer: B in 4 - 2 in x + 5 in y

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1/2=20 * t

t=1/2 * 1/20

t=1/40

Brainliest pleasr

Answer:

it is 0.75 (1/4)+ (2/3)-(1/6)=0.75=3/4

Answer:

-2

Step-by-step explanation:

Answer:

12340milliters

Step-by-step explanation:

is the right answer

Answer:

12.34 liters  = 12340 milliliters

Step-by-step explanation:

Answer:

1.pi times the radius squared

2. 12

3. Yes

4. 8

5. a googol

Step-by-step explanation:

12

22/7 I believe is the closest fraction.

It is irrational by definition and cannot be expressed as a fraction. But there are a few close approximations.

Pi is not a fraction. A close approximation to pi, on the other hand, is 22/7.

8

Based on the given conditions, formulate:

[tex]64/8[/tex]

Calculate

[tex]\frac{64}{8}[/tex]

Cross out the common factor

[tex]8[/tex]

I can figure out the rest once I get back home. I'm sorry I ran out of time.

Answer:

a₅=27.

Step-by-step explanation:

1) according to the condition the given subsequence is arithmetic sequence. It means, the a₁=7 and d=5, then

2) a₅=a₁+4*d; => a₅=7+4*5=27.

Answer:

= x^2 -9x-3x+27

= x (x-9) -3 (x-9)

= (x-3) (x-9)

Answer:

multiply by 12 and would serve 18 people

Step-by-step explanation:

I did a test for it

Answer:

We multiplied the original recipe by 3/2 or 1 1/2, the new recipe will serve 18 people.

Step-by-step explanation:

to get 1 to 3 you multiply it by 3 and to get 4 to 8 you multiply it by 2 so you end up with 3/2 or 1 1/2

Answer: 2m + c  =4

Step-by-step explanation:

Let m = Number of multiple-choice questions

c = Number of constructed response questions

For Summer,

Total marks = 12m + 4c

For kerry,

Total marks = 10m+3c

Summer scored eight points more than Kerry implies

12m + 4c = 4+(10m+3c)

⇒ 12m + 4c =  4+ 10m+3c

⇒  12m + 4c - 10m-3c =4

⇒  2m + c  =4

Hence, required equation that shows how much each multiple-choice question (m) and each constructed response question (c) is worth. :

2m + c  =4

Answer:

B

Step-by-step explanation:

Because parrallel means they will never intersect so there for i got B. Hope i was helpful.

Answer:

P (rosemary) = 9/19

Step-by-step explanation:

Given :-

To Find :-

Solving :-

Answer: y= 13/3−x/3

Step-by-step explanation:

The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=−2, y1=5, x2=1, y2=4.

Plug the given values into the formula for a slope: m=4−(5)1−(−2)=−13.

Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).

b=5−(−13)(−2)=13/3

Finally, the equation of the line can be written in the form y=b+mx:

y=13/3−x/3

Answer:

-1/3

Step-by-step explanation:

Answer:

$11,000 = 1404.7yuan

Step-by-step explanation:

$1 = 0.1277 yuan (multiply both sides by 11,000)

$1 × 11,000 = 0.1277 × 11,000 yuan

$11,000 = 1404.7 yuan

Answer:

listen to your teacher for once mabey that will help?

Step-by-step explanation:

Answer:

4. obtuse

5. obtuse

6. acute

7. acute

8. obtuse

Step-by-step explanation:

4. This angle is greater than a right angle (because it extends farther than one), so this is obtuse.

5. This angle is greater than a right angle, so this is obtuse.

6. This angle is smaller than a right angle (because it extends less than one), so this is acute.

7. This angle is smaller than a right angle, so this is acute.

8. This angle is greater than a right angle, so this is obtuse.

Answer:

its the 2nd one

Step-by-step explanation:

The answer is 240.4cm^2

Or the second one

Answer:

twelve twenty four thirty two lol

Answer:

Step-by-step explanation:

6) √48, √12

√48 = √4² x 3 = 4√3

√12 = √2² x 3 = 2√3

= 4√3, 2√3

7) √28, √63

√28 = √2² x 7 = 2√7

√63 = √3² x 7 = 3√7

=2√7, 3√7

8) ⁴√32, ⁴√162

⁴√32 = ⁴√2⁴ x 2 = 2 ⁴√2

⁴ √162 = ⁴√3⁴ x 2 = 3 ⁴√2

=2 ⁴√2, 3 ⁴√2

9) ∛40, ∛135

∛40 = ∛2³ x 5 = 2∛5

∛135 = ∛3³ x 5 = 3∛5

=2∛5, 3∛5

10) √8, √200

√8 = √2² x 2 = 2√2

√200 = √10² x 2 = 10√2

=2√2, 10√2

-{ModPatrol}

Lets see

[tex]\\ \rm\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \rm\longmapsto P=\dfrac{100I}{RT}[/tex]

[tex]\\ \rm\longmapsto P=\dfrac{360000}{9}[/tex]

[tex]\\ \rm\longmapsto P=Rs.40000[/tex]

Solution:

We know that:

Let "P" represent the money Anita borrowed.

[tex]\dfrac{\text{P} \times 3 \times 3}{100} = 3,600[/tex]

[tex]\rightarrow \dfrac{\text{P} \times 9}{100} = 3,600[/tex]

[tex]\rightarrow \dfrac{\text{P} }{100} = 400[/tex]

[tex]\rightarrow \ \text{P }= \text{R.S} \ 40000[/tex]

Answer:

Thanks for the points! <3

Answer:

-36

Step-by-step explanation:

4 x -9 = -36

This is how I interpreted the question, feel free to correct me if I am wrong.

The ordinary annuity is $135.40

We have given that the

P=55500$

rate(r)=5.2%

time (t)=20 years

The formula for ordinary annuity is:

[tex]P = A \times \frac{((1 + r)^n- 1)}{ r}[/tex]

Where,P - future value

r - rate

A - annuity payment

n - the number of years

Use the given value in the above formula of ordinary annuity so we get,

[tex]55000 = A ((1 + 0.052)^{20} - 1) / 0.052[/tex]

[tex]55000 = A * ((1.052)^{20} - 1) / 0.052[/tex]

[tex]55000 = A * (2.76 - 1) / 0.052[/tex]

[tex]55000 = A * 1.76 / 0.052[/tex]

[tex]55000 = A * 33.85[/tex]

[tex]A = 55000 / 33.85[/tex]

[tex]A = 1624.82[/tex]

Therefore the annual payment(A)=1624.82 and since year has 12 months, monthly payment is

[tex]1624.82 / 12 = $135.40[/tex]

Therefore we get the ordinary annuity is $135.40

To learn more about the ordinary annuity visit:

https://brainly.com/question/25792915

Answer:

a) 131.93

Step-by-step explanation:

Population is like superset of sample. The population and sample for this case are:

The difference between population and sample is that sample is taken from the population.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population.

For this case, we have:

75 students were randomly selected from the junior class at a high school.

Since 75 students were selected from junior class, thus:

Learn more about sampling here:

https://brainly.com/question/24842573

Answer:

Step-by-step explanation: second part is 15-55

Answer:

m∡2 is 51

Step-by-step explanation:

The parallel line creates two similar triangles.

Similar triangles with congruent angles

Also, the parallel line creates two corresponding angles.

Corresponding angles are also congruent

y = (-2) - 6 = -8

y = (-1) - 6 = -7

y = (0) - 6 = -6

y = (1) - 6 = -5

y = (2) - 6 = -4

-2 = -8

-1 = -7

0 = -6

1 = -5

2 = -4

Answer:

1, 0

Step-by-step explanation:

Let [tex]\cos (x+2\pi) = -\frac{\sqrt{2}}{2}[/tex]. From Trigonometry we remember the following identity:

[tex]\cos (a+b) = \cos a \cdot \cos b - \sin a \cdot \sin b[/tex] (Eq. 1)

Where [tex]a[/tex] and [tex]b[/tex]  are angles measured in radians.

Then, we proceed to expand the given expression:

[tex]\cos x \cdot \cos 2\pi - \sin x \cdot \sin 2\pi = -\frac{\sqrt{2}}{2}[/tex]

[tex]\cos x \cdot 1 - \sin x \cdot 0 = -\frac{\sqrt{2}}{2}[/tex]

[tex]\cos x = -\frac{\sqrt{2}}{2}[/tex]

Therefore, correct answer is "1, 0".

Answer:

A 1;0

Step-by-step explanation: