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erastovalidia [21]
2 years ago
11

A mother earned ​$ 18750.00 18750.00 from royalties on her cookbook. She set aside​ 20% of this for a down payment on a new home

. The balance will be used for her​ son's future education. She invests a portion of the money in a bank certificate of deposit​ (CD account) that earns​ 4% and the remainder in a savings bond that earns​ 7%. If the total interest earned after one year is ​$ 900.00 900.00​, how much money was invested at each​ rate? How much money was invested in the CD​ account? ​$ nothing ​(Round to the nearest​ cent.)
Business
1 answer:
BARSIC [14]2 years ago
3 0

Answer:

a) $ 5000, $ 10000 b) $ 5000

Explanation:

The royalties money = $18750

She set aside 20% for new home  which = 0.2 × 18750 = $ 3750

Amount remaining = 18750 - 3750 = $15000

She invested a sum in a bank certificate of deposit

let the amount invested in bank certificate = y

profit from the investment in the bank = 0.04y

second investment amount = 15000 - y

profit of investment = 0.07 ( 15000 - y)

sum of the two profit  = 0.04y + 0.07 (15000 - y) = total profit = $ 900

0.04y + 0.07 (15000 - y) = 900

open the bracket and rearrange the equation

0.04y + 1050 - 0.07y = 900

0.04y - 0.07y = 900 - 1050

-0.03y = -150

divide both side by -0.03

y = -150 / -0.03 = $ 5000

The amount of money invest at 4% is $5000

The amount of money invested at 7% = 15000 - 5000 = $10000

The amount of money invested in CD account = $ 5000

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kifflom [539]

Microhard has issued a bond with the following characteristics: Par: $1,000 Time to maturity: 21 years Coupon rate: 9 percent Semiannual payments Calculate the price of this bond if the YTM is  6% (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):

Answer:

Price of bond = $982.63

Explanation:

<em>The value of the bond is the present value (PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV). </em>

Value of Bond = PV of interest + PV of RV

The value of bond for Microhard can be worked out as follows:

Step 1  

PV of interest payments

Semi annul interest payment  

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Semi-annual yield = 6%/2 = 3 % per six months

Total period to maturity (in months)

= (2 × 21) = 42 periods

PV of interest =  

45 × (1- (1+0.03)^(-21)/0.03)= 693.6

Step 2  

PV of Redemption Value

= 1000 × (1.03)^(-21×2) =288.95

Price of bond

= 693.6 + 288.95 =982.63

Price of bond = $982.63

4 0
3 years ago
The main disadvantage of a monetary union is the loss of national monetary and exchange rate policy independence. lessened polit
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Answer:

The correct option is;

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Answer:

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1st January 2007 to 31st December 2011- Rented for 5 years

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