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Delicious77 [7]
3 years ago
5

B. Rob would like to create a triangle that is

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:

14y + 9

Step-by-step explanation:

Perimeter of the given triangular above = sum of all its sides.

= (y + 9) + 2y + (4y - 1) = y + 9 + 2y + 4y -1

Collect like terms

= y + 2y + 4y + 9 - 1

= 7y + 8

If Bob creates a new triangle that is 7 less than twice of the perimeter of the triangle above, the expression of the new triangle would be:

2(7y + 8) - 7

Simplify

2*7y + 2*8 - 7

14y + 16 - 7

New perimeter = 14y + 9

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Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest. He invested
iren [92.7K]

Answer:

Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Step-by-step explanation:

Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:

3.3 x 5 = 16.5

2 x 1.5 = 3

4000 x 0.165 + 3000 x 0.03 = 750

6000 x 0.165 + 5000 x 0.03 = 1140

5000 x 0.165 + 4000 x 0.03 = 945

Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

3 0
2 years ago
What is the cost of operating a 3.00-w electric clock for a year if the cost of electricity is $0.0900 per kw · h ?
brilliants [131]
We must take into account the following change of units:
 1kw = 1000w

1 year = 365 days

1 day = 24 hours
 Applying the change of units we have that the electric consumption for 1 year is given by:
 (3) * (1/1000) * (365) * (24) = 26.28 kw * h

 Then, the total cost is given by:
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 Answer:
 
the cost of operating a 3.00-w electric clock for a year is:
 
$ 2.3652
8 0
3 years ago
Rewrite each fraction with a denominator of 10.<br> a<br> 7<br> - IN<br> 2<br> 3 <br> IN <br> 5
PolarNik [594]

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

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