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Question 1163002: The total number of pears and oranges in a basket was 980. after a third of the pears and 230 oranges were sold, the ratio of pears to oranges left became 2:3. What was the ratio of pears to oranges at first??

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Question 1163003: The ratio of the number of biscuits that Andy and Betty has was 2:5. After Andy bought 24 more biscuits , the ratio became 16:10. If there were 6 biscuits in a pack, how many packs of biscuits would Betty have to buy so that they would have the same number of biscuits in the end??
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Question 1163011: Stock A has an expected return of 10 percent and a beta of 1.0. Stock B has a beta of 2.0. Portfolio P is a two-stock portfolio, where part of the portfolio is invested in Stock A and the other part is invested in Stock B. Assume that the risk-free rate is 5 percent, that required returns are determined by the CAPM, and that the market is in equilibrium so that expected returns equal required returns. Portfolio P has an expected return of 12 percent. What proportion of Portfolio P consists of Stock B?
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Question 1163010: A 12-year bond has a 10 percent semiannual coupon and a face value of $1,000. The bond has a nominal yield to maturity of 7 percent. The bond can be called in five years at a call price of $1,050. What is the bond’s nominal yield to call?
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Question 1163009: Meade Corporation bonds mature in 6 years and have a yield to maturity of 8.5 percent. The par value of the bonds is $1,000. The bonds have a 10 percent coupon rate and pay interest on a semiannual basis. What are the current yield and capital gains yield on the bonds for this year?
(Assume that interest rates do not change over the course of the year.)

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Question 1163004: A sum of money was shared between Alvin, Zachary and Philip in the ratio 2:5:3 respectively. After Zachary spent 20% of his money, the amount he had left was $196 less than the total amount of money that Alvin and Philip had. How much more money did Alvin and Zachary have than Philip at first??
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Question 1163021: 2. A portfolio manager is managing a $10 million portfolio. Currently the portfolio is invested in the following manner:
Investment Dollar Amount Invested Beta
Stock 1 2 million 0.6
Stock 2 3 million 0.8
Stock 3 3 million 1.2
Stock 4 2 million 1.4
Currently, the risk-free rate is 5 percent and the portfolio has an expected return of 10 percent. Assume that the market is in equilibrium so that expected returns equal required returns. The manager is willing to take on additional risk and wants to instead earn an expected return of 12 percent on the portfolio. Her plan is to sell Stock 1 and use the proceeds to buy another stock. In order to reach her goal, what should be the beta of the stock that the manager selects to replace Stock 1?

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Question 1163089: Find the time it takes for $610,000 to double when invested at an annual interest rate of 20% compounded continuously
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Question 1163088: Find the time is takes for $6,100 to double when invested at an annual interest rate of 20% compounded continuously.
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Question 1163115: You are packaging expansion packs for the game of checkers. The table below lists the number of each part needed per expansion pack, as well as the number of each part that you have available.
Part Number in each pack Number available
People marker 6 287
6-sided die 3 143
Teleporter marker 7 341
You make as many expansion packs as you can. With the parts remaining, you could make 1 more expansion pack if you had:
1 more people marker and 1 more die.
1 more die and 1 more teleporter marker.
1 more teleporter marker and 1 more people marker.
2 more people markers.
2 more teleporter markers.
Please explain the steps as there is a particular part where addition is present (+5, +2, +5) and I don't understand how this came to be. Thanks!

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Question 1163118: Sam saved his money until he had $10 000 to invest. He invested x dollars into a certificate of deposit with an annual interest of 2.0%, and the remaining y dollars into a mutual fund with an annual interest rate of 1.5%. If his total interest earned from both accounts after one year was $193, which of the following is the value of y?
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Question 1163118: Sam saved his money until he had $10 000 to invest. He invested x dollars into a certificate of deposit with an annual interest of 2.0%, and the remaining y dollars into a mutual fund with an annual interest rate of 1.5%. If his total interest earned from both accounts after one year was $193, which of the following is the value of y?
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Question 1163118: Sam saved his money until he had $10 000 to invest. He invested x dollars into a certificate of deposit with an annual interest of 2.0%, and the remaining y dollars into a mutual fund with an annual interest rate of 1.5%. If his total interest earned from both accounts after one year was $193, which of the following is the value of y?
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Question 1163133: Anthony, Cowell and Nigel were given some donation tickets to sell. Each ticket cost $2.Anthony sold half of the tickets while Cowell and Nigel sold the remaining tickets in the ratio of 2:3 respectively. Anthony sold 66 more tickets then Cowell. How many tickets did they sell altogether??
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Question 1163135: The mark scored by Henry in his English ,Maths and Science test were in the ratio 4:5:6.He scored 42 mark less in science than the total mark of his English and maths test. How many marks did he get for his English test??
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Question 1163132: Joel and Ansonhave some marbles in the ratio 7:5.If Joel give Anson 36 marbles, Anson will have twice as many marbles as Joel. How many marbles did joel have at first??
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Question 1163137: A box contained 50Cents coins and 20 cents coins in the ratio 2:3.when I took out foor 50Cents coins, exchanged them for 20 cents coins. And then put the money back in the box, the ratio became 2:7. Find the sum of money in the box.
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Question 1163137: A box contained 50Cents coins and 20 cents coins in the ratio 2:3.when I took out foor 50Cents coins, exchanged them for 20 cents coins. And then put the money back in the box, the ratio became 2:7. Find the sum of money in the box.
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Question 1163137: A box contained 50Cents coins and 20 cents coins in the ratio 2:3.when I took out foor 50Cents coins, exchanged them for 20 cents coins. And then put the money back in the box, the ratio became 2:7. Find the sum of money in the box.
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Question 1163136: A rope is cut into 3 parts in the ratio 1:4:5. The longest pieces is the cut into 3 smaller parts in the ratio 2:4:3.As a result there are 5 ropes and shorest piece measures 2.7cm. What is the ratio of the length of the shortest rope to the length of the second longest rope??
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Question 1163136: A rope is cut into 3 parts in the ratio 1:4:5. The longest pieces is the cut into 3 smaller parts in the ratio 2:4:3.As a result there are 5 ropes and shorest piece measures 2.7cm. What is the ratio of the length of the shortest rope to the length of the second longest rope??
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Question 1163150: help me solve please,
add numbers from one to nine to make the answer equals to twenty without adding zero and tens

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Question 1163151: sum numbers from one to nine, to make the total of twenty, without adding zero,tens,fractions and decimal numbers
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Question 1163151: sum numbers from one to nine, to make the total of twenty, without adding zero,tens,fractions and decimal numbers
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Question 1163151: sum numbers from one to nine, to make the total of twenty, without adding zero,tens,fractions and decimal numbers
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Question 1162471: A- A man deposits $ 29,700 into a bank, which pays 4% interest that is compounded semiannually. What will he have in his account at the end of three years?
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Question 1163220: Let f(x)=|x| write the equation of the function that shifts this function vertically up 2 and horizontally left 5 units
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Question 1162472: A- A company borrowed $ 74,500. The company plans to set up a sinking fund that will pay back the loan at the end of 6 years. Assuming a rate of 6% compounded semiannually, find the Sinking Fund of the ordinary annuity.
B- An employee decided to invest $ 1,960 quarterly for eight years in an ordinary annuity at 20%. What is the total cash value of the annuity at end of year 8?

C- What must YOU invest today to receive an annuity of $ 3,800 for 12 years compounded at 8% quarterly when all withdrawals will be made at the end of each period?


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Question 1163314: Whats the potential use of equations and algebraic methods to solve business problems in banking industry?
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Question 1163314: Whats the potential use of equations and algebraic methods to solve business problems in banking industry?
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Question 1163325: Kojo is 20% heavier than afua. If Kojo weighs 6kg what is afua's weights?



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Question 1163324: In a survey of a group of people the following results are obtained:
40% own a tape recorder, but not a color T.V.
10% own a color T.V. but not a Tape Recorder
20% own neither color T.V. nor a Tape Recorder
30% own both color T.V. and a Tape Recorder
What is the percentage of people who own a Tape Recorder among
the color T.V. owners?

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Question 1163328: Equaton
x-(.10x)=9 OR x minus 10 percent of x equals 9
I know the answer is 10, but I am unsure of how to show the resolution.

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Question 1163348: Show that
A.x-a is a factor of x^n-a^n.
B.Under what condition is x+a a factor of
x^n-a^n?
Under these condition find the other factors

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Question 1163359: Could you possibly verify that these 3 Physical Science problems are correct?
The answers to these problems must be rounded to the correct number of significant figures.
Problem 1.....90.0 kg * 0.518 kg = 59.482 Kg
Problem 2.....47.5 cm * 12.1 cm * 0.45 cm = 258.6375 cm3 rounded to 258.64 cm3
Problem 3.....481.6 km divided by 5.6 h = 86 km/h
If I have done any of these incorrectly due to significant figures, please indicate I made errors - below is how I calculated.
On Problem 1 the least numbers of significant figures is 3 (.518)
On Problem 2 the least numbers of significant figures is 2 (0.45)
On Problem 3 the least numbers of significant figures is 2 (5.6)
Thank you in advance for verifying the 3 problems above.

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Question 1163397: The population, P, of a bacteria colony at t hours can be modeled by
+P%28t%29+=+500+%2B+t+%2B+t%5E2+.
a. What is the initial population of the bacteria colony?
b. What is the growth rate of the colony at 3 hours?

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Question 1163402: You deposit $400 each month into an account earning 7% interest compounded monthly.
How much will you have in the account in 20 years?
How much total money will you put into the account?
How much total interest will you earn?

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Question 1163405: You deposit $5000 each year into an account earning 2% interest compounded annually how much will you have in the account in 25 years?
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Question 1163414: Suppose you want to have $500,000 for retirement in 25 years. Your account earns 6% interest.
a) How much would you need to deposit in the account each month?



b) How much interest will you earn?

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Question 1163415: You have $500,000 saved for retirement. Your account earns 8% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 15 years
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Question 1163416: You want to be able to withdraw $35,000 each year for 20 years. Your account earns 5% interest.
a) How much do you need in your account at the beginning?
$

b) How much total money will you pull out of the account?
$

c) How much of that money is interest?
$

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Question 1163421:
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Question 1163427: What is 5000 invested each year for 17 years at 8%?

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Question 1163417: You can afford a $1300 per month mortgage payment. You've found a 30 year loan at 7% interest.
a) How big of a loan can you afford?
$

b) How much total money will you pay the loan company?
$

c) How much of that money is interest?
$

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Question 1163466: You have $400,000 saved for retirement. Your account earns 5% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 15 years?
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