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Travka [436]
4 years ago
13

3.) You deposited $5,000 in an account that pays 4% annual interest. Find the

Mathematics
1 answer:
Maurinko [17]4 years ago
6 0

The balance after one year is $5200

Step-by-step explanation:

The formula to apply here is

A=P(1+\frac{r}{n} )^{nt}

where

A=Amount of money  at the end of the period=?

P=the amount of money invested= $5000

r=rate of interest=4%=0.04

n=number of compounding per year=1

t=time in years=1

Applying  the formula

A=P(1+\frac{r}{n} )^{nt} \\\\\\A=5000(1+\frac{0.04}{1} )^{1} \\\\\\A=5000(1.04)\\\\A=5200

A=$5200

Learn More

Compound Interest: brainly.com/question/12148233

Keywords : interest, compounded annually

#learnwithbrainly

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A.

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An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
From a cuboidal cardboard box of dimensions 80cm×40cm×15cm,6 circles of radius 7 cm were cut from the front face.Find the surfac
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6 0
2 years ago
The area of a rectangular painting is 5/8 square yard. The width is 3/4 yard. What is the length of the painting?
vfiekz [6]

Answer:

The answer is

<h2>\frac{5}{6}  \:  \:  \:  \: yards \\</h2>

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length of the rectangle

length =  \frac{area}{width}  \\

From the question

area = 5/8 square yards

width = 3/4 yard

So we have

length =  \frac{5}{8}  \div  \frac{3}{4}  \\  =  \frac{5}{8}  \times  \frac{4}{3}  \\  =  \frac{5}{2}  \times  \frac{1}{3}

We have the final answer as

\frac{5}{6}  \:  \:  \:  \: yards \\

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