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Margaret [11]
3 years ago
14

What is the smallest positive perfect cube that is a multiple of 180?

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:Factor it into its prime factors:

180 / 2 = 90

90 / 2 = 45

45 / 3 = 15

15 / 3 = 5

5 / 5 = 1

2 x 2 x 3 x 3 x 5

All of those factors pair should pair up in 3 members to make cube

2 x 2 x 2 x 3 x3 x 3 x 5 x 5 x 5 = (30)^3 = 27000

Smallest no. = 2 x 3 x 5 x 5 = 150

Step-by-step explanation:

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Complete the​ table, for the following​ investments, which shows the performance​ (interest and​ balance) over a​ 5-year period.
sergiy2304 [10]

Answer:

After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.

Step-by-step explanation:

Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:

Suzanne:

((4,000 x 0.02) x 5) + 4,000 = X

(80 x 5) + 4,000 = X

400 + 4,000 = X

4,400 = X

Derek:

4,000 x (1 + 0.02 / 1) ^ 5x1 = X

4,000 x 1.02 ^ 5 = X

4,416.32 = X

Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.

5 0
3 years ago
Compute the sales tax for the prices and rates given below. Price Tax Rate Tax $299 4% $6,750 7% $76.50 5.2% $18.32 3.9% $5.95 6
serious [3.7K]

Answers:

Price        Tax Rate        Tax

$299         4%                 $11.96

$6,750      7%                 $472.5

$76.50      5.2%              $3.98

$18.32       3.9%              $0.71

$5.95        6.2%              $0.37

$13.89       4.3%              $0.60

$768.43    3.7%              $28.43

$6.49        5.8%              $0.38

$23.86      7.1%               $1.69

$12.98      3.9%              $0.51


Explanation;


Sales tax is computed as the product of the price times the tax rate in % divided by 100:


  • Sales tax = price × tax rate / 100

Here is each compute:


  • $299 × 4% = $299 × 4/100 = $11.96
  • $6,750 × 7% = $6,750 × 7/100 = $ 472.50
  • $76.50 × 5.2% = $76.50 × 5.2/100 =  $3.98
  • $18.32 × 3.9% = $18.32 × 3.9/100 = $0.71
  • $5.95 × 6.2% = $5.95 × 6.2/100 = $0.37
  • $13.89 × 4.3% = $13.89 × 4.3/100 = $0.60
  • $768.43 × 3.7% = $768.43 × 3.7/100 = $28.43
  • $6.49 × 5.8% = $6.49 × 5.8/100 = $0.38
  • $23.86 × 7.1% = $23.86 × 7.1/100 = $1.69
  • $12.98 × 3.9% = $0.51

8 0
3 years ago
Can someone please help me with this​
VARVARA [1.3K]

Answer:

Not Sure

Step-by-step explanation: I dont know the anwser but I can try to help, all I know is the the measure of angle EDF is supplementery to angle EDG so I hope that helps. In other words, 180-21x+5 = measure of angle EDF.

4 0
3 years ago
Why is it important to have a control group in an experiment of investigation?
AnnZ [28]

Answer:

I think its A

Step-by-step explanation:

Sorry if I'm wrong

6 0
4 years ago
WHICH OF THESE IS EQUIVALENT TO 4^-3 ? <br> (-4)(-4)(-4)<br> 3^4<br> (-1/4)(-1/4)(-1/4)<br> 1/4^3
iVinArrow [24]

Answer:

I believe it is 1/ 4^3

Step-by-step explanation:

When dealing with negative exponents you convert the number into a fraction. When so, the number 4 in the denominator then has the positive exponent of 3

3 0
3 years ago
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