Can you see this better

Answers

Answer 1

Answer: yes and is can you see this better the question

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1/6 + 3/8 in simplest form

Answers

13/24 is the correct answer

13/24 because the least common denominator is 24. write 1/6 as 4/24 and 3/8 as 9/24.

9/24+4/24= 13/24 and 13/24 cannot be simplified/reduced

Find the answer to
SHOW YOUR WORK!
(pls help with dis)
-2x – 6 = -6x – 2

Answers

The answer is x=1. I showed my work in the screenshot provided

Answer:

x = 1

Step-by-step explanation:

For this type of equation, you want to combine all like terms. So you can combine the x and the constants. So

-2x - 6 = -6x - 2

+6x +6x

---------------------------

4x - 6 = -2

+6 +6

-----------------

4x = 4

4 multiplied by what number is 4? well 1 so x = 1

The correct mixture of oil to gas in a weed eater is 1/2 pint of oil to 2 1/2 gallons of gas. how many pints of oil are needed for 10 gallons of gas?

Answers

1/2 pint of oil=2 1/2 gallons of gas

X pint of oil= 10 gallons of gas

X= (10*0.5)/2.5

X= 2 pints of oil

Final answer:

To find out how many pints of oil are needed for 10 gallons of gas in a weed eater, we need to set up a proportion using the given ratio. By cross-multiplying and solving for x, we find that 1/4 pint of oil is needed.

Explanation:

To find out how many pints of oil are needed for 10 gallons of gas, we can use the given ratio of 1/2 pint of oil to 2 1/2 gallons of gas. First, we need to change the 2 1/2 gallons of gas to pints by multiplying it by 8 (since 1 gallon is equal to 8 pints). So, 2 1/2 gallons becomes 20 pints of gas. Now, we can set up a proportion using the ratios of oil to gas. The proportion will be (1/2 pint) / (20 pints) = (x pints) / (10 gallons).

To solve for x, we can cross-multiply and then divide: (1/2 pint) * (10 gallons) = (20 pints) * (x pints). Simplifying this gives us x = 1/4 pint of oil. Therefore, 1/4 pint of oil is needed for 10 gallons of gas.

Learn more about mixture of oil and gas

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The librarian was checking the thicknesses of several books and found that the average thickness of a book was 1.8 centimeters. She found this by averaging the thicknesses of five different books. Four of the thicknesses were 1.4 cm, 1.9 cm, 2.1 cm, and 2.4 cm. What was the thickness of the fifth book that she measured?

Answers

Answer:

1.2 cm

Step-by-step explanation:

1.8 * 5 = 9

9 - (1.4 + 1.9 + 2.1 + 2.4) = 1.2

1.2 + 1.4 + 1.9 + 2.1 + 2.4 = 9

9/5 = 1.8

Please help me..Its due 2mrw..

Answers

Answer:

a. 30%

b. 30

Step-by-step explanation:

1. You have no debt and $2,000 in your savings account. On your current budget, you figure that you can save an additional $2,000 each year. You want to put your money to work. Calculate the return on each of the investment options described below. a. Continue putting your money into your savings account, which earns an annual interest rate of 3 percent. What will be the balance of your savings account at the end of 10 years, and how much interest will you have earned?

Savings Balance:

Interest Earned:

b. Put your savings and the extra $2,000 into a mutual fund that earns 8 percent annually. If you reinvest your profits each year (earning compound interest), how much will you have in the mutual fund at the end of 10 years, and how much interest will you have earned?

Total in Mutual Fund:

Interest Earned:

c. Leave half of your $2,000 in savings, and invest the other half in the stock market. Do the same each year, putting $1,000 in stocks and the other $1,000 in savings. You earn 3 percent on your savings account and 10 percent on your stock investments. How much will you have earned from your savings account after 10 years? How much will you have earned from your stock investments after 10 years? How much money will you have between your savings account and your stocks combined after 10 years?

Money Earned from Savings Account:

Money Earned from Stock Market:

Total Money:

2. Your family gives you $5,000 as a college graduation present. You are about to start paying off $50,000 in student loans at a 4 percent interest rate for a 15-year loan. You could use this money to pay some of your loans, but you could also invest it.

a. Calculate the monthly payments and total payment you will be making on your loan if you do not use the $5,000 to make an initial payment.

Monthly Payment:

Total Amount Paid:

b. Calculate the monthly payments and total payment you will be making on your loan if you do use the $5,000 to make an initial payment.

Monthly Payment:

Total Amount Paid:

c. List two ways you could invest the money, and describe the expected returns from each method over a 15-year period.

d. What would you do with the $5,000? Explain why your choice makes financial sense to you.

Answers

Answer: $\n$ (a) Saving balance = $20,600

$\n$ Interest = $600

$\n$ (b) Total in Mutual fund = $26,503.34

$\n$ Interest earned = $3,903.34

$\n$ (c) Money Earned from Savings Account= $11,330

$\n$ Money Earned from Stock Market:$12,100

$\n$ (2a) Monthly Payment = $7,503.93

$\n$ Total Amount Paid = $90,047.18

$\n$ (b) Monthly Payment =$6,753.53

$\n$ Total Amount Paid = $81,042.46

$\n$ (c) Peer - peer lending and index fund

Step-by-step explanation:

$\n$ The Original money, which is the principal , in the savings account is $2,000

$\n$ Savings each year = $2,000

$\n$ Savings for 10 years = $2,000 x 10 = $20,000

$\n$ Annual Interest rate = 3%

$\n$ Interest for 10 years = PTR/100

$\n$ = 2000 x 10 x 3 / 100

$\n$ = 600

$\n$ Total savings after 10 years = saving + interest

$\n$ = $20,000 + $600

$\n$ = $20,600

$\n$ Therefore:

$\n$ Savings balance = $20,600

$\n$ Interest earned = $ 600

$\n$ (b) The savings + the extra $2000 = $20,600 + $ 2,000

$\n$ = $22,600

$\n$ Interest rate = 8%

$\n$ Interest = 22,600 x 1 x 8 / 100

$\n$ = $1,808

$\n$ That means profit = $ 1,808

$\n$ Re – investing the profit, we will take the profit as the principal and then calculate the compounded interest for 10 years using the formula

$\n$ A = P $(1+r)^(t)$

$\n$ = 1,808 (1.08)10

$\n$ = $3,903.34

$\n$ Amount in the mutual fund at the end of ten years implies

$\n$ $22,600 + $3,903.34 = $26,503.34

$\n$ Total in Mutual fund = $26,503.34

$\n$ Interest earned = $3,903.34

$\n$ (c) Since half of the $2,000 is left in savings, it means we have $\n$ $1,000 in savings

$\n$ Savings after 10 years = $1,000 + 10 x $1,000 = $ 11,000

$\n$ 3% of savings = 0.03 x 11.000 = $330

$\n$ Total money in Savings = $11,000 + $330

$\n$ = $11,330

$\n$ Also for Stock

$\n$ Money in stock after 10 years = $1,000 + 10 x $1,000 = $11,000

$\n$ 10% of stock = 0.1 x $11,000 = $1,100

$\n$ Total money in Stock = $11,000 + $1,100

$\n$ = $12,100

$\n$ Total money = money in savings + money in stock

$\n$ = $11,330 + $12,100

$\n$ = $23,430.00

$\n$ (2) Amount given = $5,000

$\n$ Loan = $50,000

$\n$ Interest rate on loan = 4%

$\n$ Calculating the amount the loan will yield after 15 years using the formula

$\n$ A = P $(1+r)^(t)$

$\n$ A = 50,000 ( 1 + 0.04)15

$\n$ A = $90,047.18

$\n$ Therefore the compounded interest ( C.I) = $90,047.18 - $50,000

$\n$ = $40,047.18

$\n$ (a) If you do not use the $5,000 , the monthly payment = $90,047.18 / 12

$\n$ = $7,503.93

$\n$ And the total payment = $90,047.18

$\n$ (b) If , $5,00 is used as the initial payment then the remaining loan will be

$\n$ $50,000 - $5,000 = $45,000

$\n$ So , we will have to calculate the amount $45,000 will yield after 15 years using the same formula

$\n$ That is : A = 45,000 (1.04)15

$\n$ A =$ 81,042.46

$\n$ Therefore the C.I = $81,042.46 - $45,000

$\n$ = $36,042.46‬

$\n$ Monthly payment = $ 81,042.46/ 12

$\n$ = $6,753.53

$\n$ Total payment = $81,042.46

$\n$ (c) Method of investing the money

$\n$ (i) Peer to peer Lending. Giving helping hand one could earn $\n$ money as they pay back the loan with interest. If the interest is set to be 20%, for 15 years , 5000 will yield

$\n$ 5000(1.2)15 = $77,035.10

$\n$ (ii) Index fund : Index funds are a collection of stocks, so your investment is automatically diversified. Index fund like E-trade could be invested into. Using the stock calculator , it would yield $141,144

$\n$ (d) I would rather invest the money in E- trade since I am sure it would bring a profit more than the amount of the loan will yield after 15 years , I will even have more money to hold at habd

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