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aleksandrvk [35]
4 years ago
10

Pat invested a total of $3,000. Part of the money was invested in a money market account that paid 10 percent simple annual inte

rest, and the remainder of the money was invested in a fund that paid 8 percent simple annual interest. If the interest earned at the end of the first year from these investments was $256, how much did Pat invest at 10 percent and how much at 8 percent?
Business
1 answer:
Nana76 [90]4 years ago
8 0

Answer:

how much did Pat invest at 10 percent and how much at 8 percent?

2200 10%

 800  8%

Explanation:

I=C*%I*T

I=C1*0,08*1+C2*0,10*1

3000=C1+C2

C1=3000-C2

256=(3000-C2)*0,08+C2*0,10

256=240-0,08C2+O,10C2

16=0,02C2

C2=800

C1=2200

I=2200*0,1= 176

I=800*0,08=80

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Gre4nikov [31]

Answer:

$75

Explanation:

Let, the payment made towards US Speedy credit card be 'U'

Therefore,

According to the question:

Payment made towards Express credit card, E = 3U

Total for the two cards = U + E

= U + 3U

= 4U

also,

Payment made towards passport credit card = 15% of 4U

= 0.15 × 4U

= 0.6U

Given: Total payment made = $575

Therefore,

E + U + 0.6 U = $575

or

3U + U + 0.6U = $575

or

4.6U = $575

or

U = $125

Hence,

Payment made towards passport credit card = 0.6U

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6 0
3 years ago
Why is it an advantage to have a several job while you are building your career
krok68 [10]
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6 0
4 years ago
Back-office operations deal directly with the customer. true false
CaHeK987 [17]
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8 0
3 years ago
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the
Sonbull [250]

Answer:

Mean = 47

Median = 47.38

Standard Deviation = 12.73

Explanation:

Note: You wrote " 40 manufacturing companies, but the total number of companies you actually listed is 75, definitely you meant 75.

Let y represent the range of advertising expenditure, f represent the number of companies, x represent the midpoint of the range of advertising expenditure.

y                                       f                      x                  fx                    fx²

$20 to under $30            9                     25               225               5625

$30 to under $40            13                    35               455               15925

$40 to under $50            21                    45               945              42525

$50 to under $60            18                    55               990              54450

$60 to under $70            14                     65               910               59150

                                       n = 75                           \sum fx = 3525      

\sum fx^2 = 177675

Mean, \bar{X} = \frac{\sum fx}{n}

\bar{X} = \frac{3525}{75} \\\bar{X} = 47

Standard Deviation:

SD = \sqrt{\frac{n \sum fx^2 - (\sum fx)^2}{n(n-1)} } \\SD = \sqrt{\frac{(75*177675) - (3525)^2}{75(75-1)} }\\SD = 12.73

Median:

Get the cumulative frequencies(cf)

         y                                        f                                cf

$20 to under $30                     9                                9

$30 to under $40                     13                               22

$40 to under $50                     21                               43

$50 to under $60                     18                               61

$60 to under $70                      14                              75

                                                N = 75

Median = Size of (N/2)th item

Median = Size of (75/2)th item

Median = Size of (37.5)th item

The median class = 40 to under 50

Lower limit, L₁ = 40

Cumulative frequency, cf = 22

f = 21

Class Width, h = 10

Median = L_1 + \frac{ (N/2) - cf}{f} * h\\

Median = 40 + \frac{ (75/2) - 22}{21} * 10\\

Median = 47.38

8 0
4 years ago
Lafayette, Inc. was incorporated on January 1, 2014. Lafayette issued 15,000 shares of common stock and 800 shares of preferred
Alex Ar [27]

Answer:

$5,600

Explanation:

Calculation to determine the total amount that will be paid to common stockholders?

Total amount paid to common stockholders=$44,000-[(800 (12%)($100)*4]

Total amount paid to common stockholders=$44,000-($9,600*4 )

Total amount paid to common stockholders=$44,000-$38,400

Total amount paid to common stockholders=$5,600

(2014-2017=4)

Therefore the total amount that will be paid to common stockholders is $5,600

5 0
3 years ago
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