All categories

2 years ago

30 pts for this one.... (only if you give a reasonable answer no BS)

Mathematics

2 answers:

Keith_Richards [23]2 years ago

6 0

Answer:

y = 3000x + 40000
a) the base salary of the salesperson
a) the commission per subscription

Step-by-step explanation:

Slope intercept form is found by [ y = mx + b ] where m = slope and b = y-intercept. We are given that a salesperson gets $40000 as a base salary. Since this value doesn't change it is the starting value, in other words the y-intercept. The salesperson also gets $3000 for every subscription they sell. Since this amount grows at a constant rate, that is the slope. Now, we can write the slope intercept form of [ y = 3000x + 40000 ].

Best of Luck!

kap26 [50]2 years ago

3 0

Answer:

1. y = 3000x + 40000

2. Option A: base salary of the salesperson

3. Option A: the commission per subscription

Step-by-step explanation:

1. The commission of $3000 will be the first number, then will come the salary. Now, since it has to be in slope form, it is on the y-intercept, so we write y.

2. It is the base salary because it is the only number that does not have a missing value, 3000x does.

3. The commission per subscription is the answer because the context of the whole slope is the commission per subscription. Question 2 was the y-intercept.

You might be interested in

David's optometrist sold him a bottle of eyeglass cleaner containing 30 ml of glasscleaning solution. assuming there are 20 drop

Furkat [3]

Each complete cleaning requires 6 drops of cleaner. Let's convert that to ml:

6 drops 1 ml 3 ml cleaner
----------- * ------------- = ------------------- = 0.3 ml cleaner per cleaning
20 drops 10 cleanings

Recall that 1 bottle contains 30 ml cleaning fluid.

How many cleanings is one bottle of fluid good for?

1 bottle 0.3 ml
----------- = ----------- => x = 100 cleanings/bottle
x 30 ml

8 0

2 years ago

. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads

Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = $\frac{distance}{time}$

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = $105^{o}$

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

= 3000 m

= 3 km

Emily would have covered a distance = 2.7778 x 1800

= 5000 m

= 5 km

The distance between them, a, can be determined by applying the cosine rule;

$a^{2}$ = $b^{2}$ + $c^{2}$ - 2bcCos A

= $5000^{2}$ + $3000^{2}$ -2(5000 x 3000) Cos 105

= $5000^{2}$ + $3000^{2}$ -2(5000 x 3000) x (-0.2588)

= 2.5 x $10^{7}$ + 9 x $10^{6}$ + 7764000

= 41764000

a = $\sqrt{41764000}$

= 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0

2 years ago

Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t

rodikova [14]

$\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}$

The distance traveled by the particle is given by the definite integral

$\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $C$ is the path of the particle. The distance is then

$\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi$