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Liono4ka [1.6K]
4 years ago
10

Dilbert’s Incorporated produced 6,000,000 units of software in 2005. At the start of 2006 the pointy-haired boss raised employme

nt from 10,000 total annual hours to 14,000 annual hours and production was 7,000,000 units. Based on these numbers what happened to productivity?
answer choices
a) It fell by about 16.7%.
b) It stayed the same
c) It rose by about 16.7%.
d) It rose by about 40%
Mathematics
1 answer:
ankoles [38]4 years ago
6 0

Answer:

Productivity fell by about 16.7%.

Step-by-step explanation:

Consider the provided information.

Dilbert’s Incorporated produced 6,000,000 units of software in 2005.

In 2006 production was 7,000,000 units.

In 2005 they was making 6,000,000 units in 10,000 hours.

Per hour output = \frac{6,000,000}{10000} =600

In 2005 per hour output was 600.

In 2006 they are making 7,000,000 units in 14,000 hours

Per hour output = \frac{7,000,000}{14000} =500

In 2005 per hour output is 500.

That means the per hour output decreases. Or we can say that the productivity falls.

The difference between the production:

7,000,000-6,000,000=1,000,000

Therefore, they increase 1,000,000 units.

Decrease in productivity = \frac{1000000}{6000000}\times 100=\frac{100}{6} \approx16.7

Hence, productivity fell by about 16.7%.

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The Sommers invested $5000 for three years at 6.5%. How much interest did the investment earn in three years? What was the total
Jet001 [13]

Answer:

the interest is $975

the total amount  is $5975

Step-by-step explanation:

lets use tje formula

I=PRT

where I is interest earned

P is the principal amount(original amount)

R is the rate of interest

and T is the time in years

so

the principal amount is 5000 since it is the original amount

rate is \frac{6.5}{100}=0.065

time is 3 years

lets plug these values into our equation:

5000*0.065*3=I

5000*0.065*3=975

the interest is $975

the next part of the question is asking for the balance or the total amount which is principal+interest

5000+975=5975

the total amount or balance is $5975

hope this helps

8 0
3 years ago
Please do all of these!
arlik [135]
Time/shifts=time per knight

shifts=5

24/5=hours
24/5=20/5+4/5=4+4/5
4/5 times 60=48
4hr and 48 mins
24hr=60*24mins=1440mins
1440/5=288mins per night



A. 4 and 4/5 hour or 24/5 hours
B. 4hr and 48 mins
C. 288 mins
7 0
3 years ago
Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.
nikdorinn [45]

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

\displaystyle S = \frac{k}{2}\left( a + x_k\right)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}

In conclusion, the sum of the arithmetic series is 2717.

3 0
3 years ago
A1 Plumbing Services charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per
kotegsom [21]

Answer:

5 hours your welcome.

7 0
4 years ago
Please help me with trig! True or False
Anton [14]

Answer:

False

Step-by-step explanation:

If it is a right triangle, the Pythagorean theorem will apply

a^2 + b^2 = c^2

4^2 + 5.05^2 = 6.6^2

16 +25.5025 =43.56

41.5025=43.56

This is not true so it is not a right triangle

Round to the nearest integer

4^2 + 5^2 = 7^2

16+25 = 49

41 =49

This is not true

5 0
4 years ago
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