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lyudmila [28]
3 years ago
5

When David arrived in the country of Georgia, he exchanged $165 of United States (US) currency for 385 Georgian Laris. When he i

s ready to return to the US, he has 147 Laris left. Assuming the exchange rate is the same, how many US dollars is that worth?
Mathematics
1 answer:
stich3 [128]3 years ago
6 0
He would have 63 dollats
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A small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company
sukhopar [10]

Answer:

Step-by-step explanation:

Given that a small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. So remaining 75 are between 5 and 10 years.

Suppose that one employee is selected at random from a list of the employees

A) Probability that the selected employee has been with the firm less than 5 years = \frac{50}{250 } \\= 0.20

B) Probability that the selected employee has been with the firm between 5 and 10 years

= \frac{75}{250 } \\= 0.30

C) Probability that the selected employee has been with the firm more than 10 years

= \frac{125}{250} =0.50

a) P(A) = 0.2

P(C) = 0.5

P(A or B) = 0.2+0.3 = 0.5

P(A and C) = 0 (since A and C are disjoint)

7 0
3 years ago
Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account aft
noname [10]

The value of this account in 10 years is given by the formula:

FV = P*(1+r)^t

where FV is the future value in the account after 10 years(to be calculated)

P is the principal invested at the beginning

r is the interest rate and

t is the time horizon in years

Given, Invested Amount (P) = 20,000

Interest rate (r) = 5.5% = 0.055

Time horizon (t) = 10 years = 10

Substituting the formula, FV = 20,000*(1+0.055)^10 = 20,000*1.055^10 = 20,000*1.708144458 =  34,162.89

The value of this account after 10 years =$34,162.89 (Rounded to the nearest cent)

7 0
3 years ago
Pls help if you actually can
Setler79 [48]

The triangles that are similar would be ΔGCB and ΔPEB  due to Angle, Angle, Angle similarity theorem.

<h3>How to identify similar triangles?</h3>

From the image attached, we see that we are given the Parallelogram GRPC. Thus;

A.  The triangles that are similar would be ΔGCB and ΔPEB  due to Angle, Angle, Angle similarity theorem.

B. The proof of the fact that ΔGCB and ΔPEB are similar pairs of triangles is as follow;

∠CGB ≅ ∠PEB  (Alternate Interior Angles)

∠BPE ≅ ∠BCG  (Alternate Interior Angles)

∠GBC ≅ ∠EBP  (Vertical Angles)

C.  To find the distance from B to E and from P to E, we will first find PE and then BE by proportion;

225/325 = PE/375  

PE = 260 ft

BE/425 = 225/325  

BE = 294 ft

Read more about Similar Triangles at; brainly.com/question/14285697

#SPJ1

5 0
2 years ago
Solve the system. x + y = 12 x minus y equals 2
Mademuasel [1]

Answer:

mh

 

Step-by-step explanation:

mhh

4 0
3 years ago
a stock was selling at $120 per share. a month later, it was selling at $150 per share. what is the percent increase?
goldfiish [28.3K]

Answer:

25%

Step-by-step explanation:

The formula to find percent increase is 100 * \frac{final-initial}{|initial|}. We're given the initial value as 120 and the final value as 150.

  • 100*\frac{150-120}{|120|}
  • 100*\frac{30}{120}
  • 100*\frac{1}{4}
  • 100/4
  • 25

Therefore, the percent increase is 25%.

4 0
2 years ago
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