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Fantom [35]
3 years ago
8

A notary receives $ 3500 for elaborating a title property and $2000 for the constitutive act of an enterprise. In a month did a

total of 22 operations, both titles and acts that represented a total wanna go income of $53000. How many title and acts were elaborated?
Mathematics
1 answer:
Andrew [12]3 years ago
5 0

Answer:

6 titles and 16 acts were elaborated

Step-by-step explanation:

Let the number of titles be t and the number of acts be a

Since the total is 22 operations:

a + t = 22 •••••••(i)

Total amount from titles = 3500 * t = 3500t

Total amount from acts = 2000 * a = 2000a

2000a + 3500t = 53,000 ••••••(ii)

From i, a = 22-t

Insert this in ii

2000(22-t) + 3500t = 53,000

44,000 - 2000t + 3500t = 53,000

1,500t = 53000-44000

1500t = 9000

t = 9000/1500

t = 6

But a = 22 -

= 22-6 = 16

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An electronics company makes communication devices for military contracts. The company just completed two contracts. The navy co
adelina 88 [10]

Answer:

Workers of army contract were more productive.

Step-by-step explanation:

To determine on which contract the workers were more productive compute the work done per hour by the workers for both contracts.

  • <u>Navy Contract</u>:

Number of devices = 2,300

Number of workers = 25

Number of weeks = 2 weeks

Number of hours per week = 40

The number of hours it took 25 workers to produce 2300 devices is =

=25\times2\times40\\=2000\ hours

Then number of devices produced in 1 hour is = \frac{2300}{2000}= 1.15\ devices\ per\ hour

  • <u>Army Contract</u>:

Number of devices = 5,500

Number of workers = 35

Number of weeks = 3 weeks

Number of hours per week = 40

The number of hours it took 35 workers to produce 5500 devices is ==35\times3\times40\\=4200\ hours

Then number of devices produced in 1 hour is = \frac{5500}{4200}= 1.31\ devices\ per\ hour

The workers for the army contract are more productive since they produce 1.31 devices per hour whereas the workers for navy contract produces 1.15 devices per hour.

4 0
3 years ago
Jack recieved $600 for his birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he
Gwar [14]

so 21 - 13, the money will be invested for 8 years.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad  \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$600\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\to &1\\ t=years\to &8 \end{cases} \\\\\\ A=600\left(1+\frac{0.08}{1}\right)^{1\cdot 8}\implies A=600(1.08)^8\implies A\approx 1110.558126

8 0
3 years ago
Angelo cuts a triangle from a sheet of paper as shown. what is the measure of the triangle?
NikAS [45]
Http://prntscr.com/anjh06

The image I saw was a paper with 90° edges. the 90° was cut into 2, 75° and x.

x = 90° - 75° = 15°

Interior angles of a triangle should equal 180°. The other corner of the paper is part of the triangle. It has a measure of 90°

The two angles are 15° and 90°. To find the remaining unknown angle, we deduct the two angles from 180°

3rd angle = 180° - 15° - 90°
3rd angle = 180° - 105°
3rd angle = 75°

6 0
3 years ago
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Two over five, one over four, three over eight
jek_recluse [69]

Answer:

I would like to solve your problem but plz comment the equation

Step-by-step explanation:

2/5×1/4×3/8 is 6/160

7 0
3 years ago
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i kind of know its C need 2nd opinion A tire manufacturer took a random sample of 50 tires and found that 3 were defective. In a
den301095 [7]

It's kind of not C.

Solve this proportion for 'x':

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Hint: Cross-multiply the proportion, then do what you need to do.

6 0
3 years ago
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