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sergey [27]
4 years ago
9

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a ye

arly salary of $38,000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company
Mathematics
1 answer:
KATRIN_1 [288]4 years ago
3 0

Answer:  Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

Step-by-step explanation:

Since we have given that

Annual salary of ABC company = $45000

Annual salary of XYZ company = $38000

Rate of commission = 2%

Amount of salary after commission at XYZ company would be

\dfrac{100+2}{100}\times 38000\\\\=\dfrac{102}{100}\times 38000\\\\=1.02\times 38000\\\\=38760

So, Difference between is given by

45000-38760\\\\=\$6240

Hence, Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

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Find the unit rate kenny reads 4 over 9 pages in 3 over 4 minutes
Leno4ka [110]

Answer:

Unit Rate = (4/9)/(3/5) = (4/9)(5/3) = 20/27 pages per minute

Report 01/07/18

Step-by-step explanation:

8 0
4 years ago
There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
blondinia [14]

Answer: There are 990 croissants

Step-by-step explanation:

If 45% of them are pretzels then 55% of the pastries hs to be croissants.

Multiply 55% by the total number of pastries to find the number of croissants.

55% * 1,800 =  990

4 0
3 years ago
Y=1000x+b how do i solve for b?
Irina18 [472]

Answer:

put it into a graphing calculator, the point where the line intercepts the y-axis would be B

6 0
3 years ago
A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re
fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer E_0 and the current temperature E(t) where t is the elapsed time in minutes.  The outside temperature is 20 F.

Newton's Law of Cooling:

E(t) - 20 = (E_0 - 20) e^{- k t}

We're given E(1)=70 \textrm{ and } E(5)=45

70-20 = (E_0 - 20) e^{-k}

45-20 =(E_0 - 20) e^{-5k}

Dividing,

\dfrac{50}{25}=e^{4k}

k = \dfrac 1 4 \ln 2

Now,

E(t) - 20 = (E_0 - 20) e^{- k t}

E_0 = 20 + (E(t) - 20)e^{k t}

E_0 = 20 + (E(1) - 20)e^{k}

E_0 = 20 + (70 - 20)e^{\ln 2/4}

E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}


3 0
4 years ago
Burning coal yields about 30 x 106 joules of energy per kilogram of coal burned, but only 30% of that energy goed into electrici
abruzzese [7]

Answer:

Number of bulbs which can be lit using 1 kg of coal = 9

Step-by-step explanation:

Energy yielded by burning 1 kg of coal = 30 × 106 joules

                                                                = 3180 joules

Amount of energy that can be used for electricity = 30 % of 3180 joules

                                                                                   = 0.30 × 3180

                                                                                    = 954 joules

Energy needed for lighting one bulb = Wattage of bulb × No. of hours of lighting

⇒ Energy needed for lighting one bulb = 100 × 1

                                                                  = 100 joules

\text{Now, Number of bulbs which can be lit for one hour = }\frac{954}{100}\\\\\implies\bf\textbf{Number of bulbs = }9.54\approx 9

Hence, Number of bulbs which can be lit using 1 kg of coal = 9

4 0
4 years ago
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