Mathematics: Nearest hundredth

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Nearest hundredth, №15525980, 07.09.2020 08:31

Mathematics

Use the compound interest formulas upper a equals upper p left parenthesis 1 plus startfraction r over n endfraction right parenthesis superscript nt and upper a equals pe superscript rt to solve the problem given. round answers to the nearest cent. find the accumulated value of an investment of $ 10 comma 000 for 7 years at an interest rate of 7 % if the money is : a. compoundedsemiannually; b. compounded quarterly; c. compounded monthly d. compounded continuously. a. what is the accumulated value if the money is compounded semiannually? $ nothing

Step-by-step answer

P Answered by PhD

Step-by-step explanation:

Initial amount deposited into the account is $10000 This means that the principal, P = 10000

The rate at which the principal was compounded is 7%. So

r = 7/100 = 0.07

It was compounded for 7 years. So

t = 7

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

a) compounded semi annually

It means that it was compounded twice in a year, so n = 2

Therefore

A = 10000 (1+0.07/2)^2×7

A = 10000(1.035)^14 = $16186.9

b) compounded quarterly

It means that it was compounded four times in a year, so n = 4

Therefore

A = 10000 (1+0.07/4)^4×7

A = 10000(1.0175)^28 = $16254.1

c) compounded monthly

It means that it was compounded 12 times in a year, so n = 12

Therefore

A = 10000 (1+0.07/12)^12×7

A = 10000(1.0058)^84 = $16254.6

d) compounded continuously

A = Pe^Rt

A = 10000e^7×0.07 = 10000×e^0.49

A = $16323.2

Mathematics

Use the compound interest formulas upper a equals upper p left parenthesis 1 plus startfraction r over n endfraction right parenthesis superscript nt and upper a equals pe superscript rt to solve the problem given. round answers to the nearest cent. find the accumulated value of an investment of $ 10 comma 000 for 7 years at an interest rate of 7 % if the money is : a. compoundedsemiannually; b. compounded quarterly; c. compounded monthly d. compounded continuously. a. what is the accumulated value if the money is compounded semiannually? $ nothing

Step-by-step answer

P Answered by PhD

Step-by-step explanation:

Initial amount deposited into the account is $10000 This means that the principal, P = 10000

The rate at which the principal was compounded is 7%. So

r = 7/100 = 0.07

It was compounded for 7 years. So

t = 7

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

a) compounded semi annually

It means that it was compounded twice in a year, so n = 2

Therefore

A = 10000 (1+0.07/2)^2×7

A = 10000(1.035)^14 = $16186.9

b) compounded quarterly

It means that it was compounded four times in a year, so n = 4

Therefore

A = 10000 (1+0.07/4)^4×7

A = 10000(1.0175)^28 = $16254.1

c) compounded monthly

It means that it was compounded 12 times in a year, so n = 12

Therefore

A = 10000 (1+0.07/12)^12×7

A = 10000(1.0058)^84 = $16254.6

d) compounded continuously

A = Pe^Rt

A = 10000e^7×0.07 = 10000×e^0.49

A = $16323.2

Business

The multiple regression equation is much better. 3. Predict the total packing cost for 25,000 orders, weighing 40,000 pounds, with 4,000 fragile items. Round regression intercept to whole dollar and coefficients to two decimal places (nearest cent). Enter the final answer rounded to the nearest dollar. Y = $ 4. How much would the cost estimated for Requirement 3 change if the 25,000 orders weighed 40,000 pounds, but only 2,000 were fragile items? In your computations, round regression intercept to whole dollar and coefficients to two decimal places

Step-by-step answer

P Answered by Specialist

Part 3: The packaging cost for 25000 orders of weight 40,000 pounds with 4000 fragile items is $ 91999.

Part 4: The packaging cost for 25000 orders of weight 40,000 pounds with 2000 fragile items as compared to the cost with 4000 fragile items is reduced by $ 4626.

Explanation:

The question lacks the data. So the data is given as in the attached figure which indicates following.

From the part 2 of the question the regression line is found as

$Cost_{packing} = 475 + 2.100n_{order} + 0.7443w_{order}+2.313n_{fragile}$

Part 3

Number of orders=25000

Weights=40,000

Number of fragile items=4000

So the value is predicted as

$Cost_{packing} = 475 + 2.100n_{order} + 0.7443w_{order}+2.313n_{fragile}\\Cost_{packing} = 475 + 2.100(25000)+ 0.7443(40000)+2.313(4000)\\Cost_{packing} = \$ 91999$

So the packaging cost for 25000 orders of weight 40,000 pounds with 4000 fragile items is $ 91999.

Part 4

Part 3

Number of orders=25000

Weights=40,000

Number of fragile items=2000

So the value is predicted as

$Cost_{packing} = 475 + 2.100n_{order} + 0.7443w_{order}+2.313n_{fragile}\\Cost_{packing} = 475 + 2.100(25000)+ 0.7443(40000)+2.313(2000)\\Cost_{packing} = \$ 87373$

Change in cost is

$\Delta Cost=Cost_3-Cost_4\\\Delta Cost=91999-87373\\\Delta Cost=$4626\\$

So the packaging cost for 25000 orders of weight 40,000 pounds with 2000 fragile items as compared to the cost with 4000 fragile items is reduced by $ 4626.

Business

The multiple regression equation is much better. 3. Predict the total packing cost for 25,000 orders, weighing 40,000 pounds, with 4,000 fragile items. Round regression intercept to whole dollar and coefficients to two decimal places (nearest cent). Enter the final answer rounded to the nearest dollar. Y = $ 4. How much would the cost estimated for Requirement 3 change if the 25,000 orders weighed 40,000 pounds, but only 2,000 were fragile items? In your computations, round regression intercept to whole dollar and coefficients to two decimal places

Step-by-step answer

P Answered by Specialist

Part 3: The packaging cost for 25000 orders of weight 40,000 pounds with 4000 fragile items is $ 91999.

Part 4: The packaging cost for 25000 orders of weight 40,000 pounds with 2000 fragile items as compared to the cost with 4000 fragile items is reduced by $ 4626.

Explanation:

The question lacks the data. So the data is given as in the attached figure which indicates following.

From the part 2 of the question the regression line is found as

$Cost_{packing} = 475 + 2.100n_{order} + 0.7443w_{order}+2.313n_{fragile}$

Part 3

Number of orders=25000

Weights=40,000

Number of fragile items=4000

So the value is predicted as

$Cost_{packing} = 475 + 2.100n_{order} + 0.7443w_{order}+2.313n_{fragile}\\Cost_{packing} = 475 + 2.100(25000)+ 0.7443(40000)+2.313(4000)\\Cost_{packing} = \$ 91999$

So the packaging cost for 25000 orders of weight 40,000 pounds with 4000 fragile items is $ 91999.

Part 4

Part 3

Number of orders=25000

Weights=40,000

Number of fragile items=2000

So the value is predicted as

$Cost_{packing} = 475 + 2.100n_{order} + 0.7443w_{order}+2.313n_{fragile}\\Cost_{packing} = 475 + 2.100(25000)+ 0.7443(40000)+2.313(2000)\\Cost_{packing} = \$ 87373$

Change in cost is

$\Delta Cost=Cost_3-Cost_4\\\Delta Cost=91999-87373\\\Delta Cost=$4626\\$

So the packaging cost for 25000 orders of weight 40,000 pounds with 2000 fragile items as compared to the cost with 4000 fragile items is reduced by $ 4626.

Mathematics

What is the price ofpremium gasoline rounded to the nearestdollar? Rounded to the nearest dime?Rounded to the nearest penny?

Step-by-step answer

P Answered by Master

$4 (nearest dollar) ;

$4.4 (nearest dime) ;

$4.41 (nearest penny

Step-by-step explanation:

The actual price of premium gasoline is $4.409 per gallon.

A penny = $0.01 or 1 cent

A dime = $0.1 or 10 cent

Price of premium gasoline to the nearest dollar :

$4.409 is rounded to the nearest unit = $4

Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41

Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4

Mathematics

What is the price ofpremium gasoline rounded to the nearestdollar? Rounded to the nearest dime?Rounded to the nearest penny?

Step-by-step answer

P Answered by Specialist

$4 (nearest dollar) ;

$4.4 (nearest dime) ;

$4.41 (nearest penny

Step-by-step explanation:

The actual price of premium gasoline is $4.409 per gallon.

A penny = $0.01 or 1 cent

A dime = $0.1 or 10 cent

Price of premium gasoline to the nearest dollar :

$4.409 is rounded to the nearest unit = $4

Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41

Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4

SAT

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Step-by-step answer

P Answered by Master

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SAT

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Step-by-step answer

P Answered by Specialist

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Mathematics

5) round 992,449 to the nearest hundred thousand 6) round 9,254 to the nearest hundred 7) round 5,068 to the nearest ten 8) round 5282 to the nearest ten 9) round 813 to the nearest ten 10) round 223 to the nearest ten 11) round 44,769 to the nearest ten 12) round 76,340 to the nearest thousand 13) round 924 to the nearest ten 14) round 222,702 to the nearest ten thousand 15) round 82,321 to the nearest hundred 16) round 5479 to the nearest hundred 17) round 527 to the nearest hundred 18) round 913,600 times of the nearest ten 19) round 88,347

Step-by-step answer

P Answered by PhD

6

5. 1,000,000 Because the digit to the right of the hundred thousand's digit is a 9, you need to round it up. Since the number is 900,000, however, you should round it to 1,000,000

6. 9,300 The digit to the right of the hundred's place is 5, so round the 2 up to a 3.

7. 5,070 The digit to the right of the ten's place is 8, so round the 6 to a 7.

8. 5,280 The digit to the right of the ten's place is a 2, so keep the 8 the same and change the 2 to a 0.

9. 813

10. 220

11. 44,770

12. 76,000

13. 920

14. 220,000

15. 82,300

16. 5,500

17. 500

18. 913,600

19. 88,300

20. 630

Some basic rules to remember about rounding:
1. If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.
2. If the digit to the right of the place you're rounding is less than 5, keep the digit the same and change all digits to the right to 0.
3. If you're rounding 9 up, carry 1 over to the next place to the left. For instance, when rounding 987 to the nearest hundred, you would round up the 9 because 8 is greater than 5. The answer would be 1,000, because you have to carry the 1 over to the left.

Mathematics

5) round 992,449 to the nearest hundred thousand 6) round 9,254 to the nearest hundred 7) round 5,068 to the nearest ten 8) round 5282 to the nearest ten 9) round 813 to the nearest ten 10) round 223 to the nearest ten 11) round 44,769 to the nearest ten 12) round 76,340 to the nearest thousand 13) round 924 to the nearest ten 14) round 222,702 to the nearest ten thousand 15) round 82,321 to the nearest hundred 16) round 5479 to the nearest hundred 17) round 527 to the nearest hundred 18) round 913,600 times of the nearest ten 19) round 88,347

Step-by-step answer

P Answered by PhD

6

5. 1,000,000 Because the digit to the right of the hundred thousand's digit is a 9, you need to round it up. Since the number is 900,000, however, you should round it to 1,000,000

6. 9,300 The digit to the right of the hundred's place is 5, so round the 2 up to a 3.

7. 5,070 The digit to the right of the ten's place is 8, so round the 6 to a 7.

8. 5,280 The digit to the right of the ten's place is a 2, so keep the 8 the same and change the 2 to a 0.

9. 813

10. 220

11. 44,770

12. 76,000

13. 920

14. 220,000

15. 82,300

16. 5,500

17. 500

18. 913,600

19. 88,300

20. 630

Some basic rules to remember about rounding:
1. If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.
2. If the digit to the right of the place you're rounding is less than 5, keep the digit the same and change all digits to the right to 0.
3. If you're rounding 9 up, carry 1 over to the next place to the left. For instance, when rounding 987 to the nearest hundred, you would round up the 9 because 8 is greater than 5. The answer would be 1,000, because you have to carry the 1 over to the left.

Nearest hundredth

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