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Delicious77 [7]
3 years ago
14

Neon Light Company of Kansas City ships lamps and lighting appliances throughout the country. Ms. Neon has determined that throu

gh the establishment of local collection centers around the country, she can speed up the collection of payments by one and one-half days. Furthermore, the cash management department of her bank has indicated to her that she can defer her payments on her accounts by one-half day without affecting suppliers. The bank has a remote disbursement center in Florida.a. If Neon Light Company has $3.20 million per day in collections and $1.24 million per day in disbursements, how many dollars will the cash management system free up? (Enter your answer in dollars not in millions (e.g., $1,234,567).) Freed-up funds $b. If Neon Light Company can earn 10 percent per annum on freed-up funds, how much will the income be? (Enter your answer in dollars not in millions (e.g., $1,234,567).)
Business
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

a. The amount of dollars will the cash management system free up is $10,220,000

b. The income will be of $1,022,000

Explanation:

a. According to the given data in order to calculate the amount of dollars will the cash management system free up we would have to make the following calculation:

Freed-up fund = $3,200,000 * 3 + $1,240,000 * 1/2

Freed-up fund = $10,220,000

The amount of dollars will the cash management system free up is $10,220,000

b. To calculate the income If Neon Light Company can earn 10 percent per annum on freed-up funds we would have to make the following calculation:

Interest on freed-up cash = $10,220,000 * 10%

Interest on freed-up cash=$1,022,000

The income will be of $1,022,000

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1. If money is deposited in a bank that pay's simple interest of 4.5 %, bow much will have to be deposited to earn $90 of intere
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The amount of 3000 will have to be deposited to earn $90 of interest for 8 months, if money is deposited in a bank that pay's simple interest of 4.5%.

Explanation:

The given is,

                       Simple interest of 4.5 %

                       Earn $90 of interest for 8 months​

Step:1

            Formula to calculate the simple interest method,

                                            F=P(1+iN)...................................(1)

           Where,

                           F - Future amount

                           P - Initial investment

                            i - Rate of interest

                           N - Number of years

            From given,

                          i - 4.5%

          Let, X - Initial investment, P = X

                                                      F = P + Interest amount

                                                      F = X + 90

         From the equation (1),

                                           (X+90)=X(1+(0.045)(0.667))

                               (∵ N = 8 months = \frac{8}{12} = 0.667 year )

                                            (X+90)=X(1+(0.03))

                                             (X+90)=X(10.03)

                                             (X+90)=1.03 X

                                                        90=1.03X-X

                                                        90=0.03X

                                                             = \frac{90}{0.03}

                                                             = 3000

                                                  P = X = $ 3000

          From the X value.

                                                   F = P + 90

                                                      = 3000 + 90

                                                  F = $ 3090

Result:

The amount of 3000 will have to be deposited to earn $90 of interest for 8 months, if money is deposited in a bank that pay's simple interest of 4.5%.

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