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Vladimir [108]
3 years ago
14

Which is a better deal: A tool that costs $13.99 with 7% tax or the same tool that costs $14.03 with 6.5% tax

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

The tool with 6.5% tax rate is better

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A rectangular prism holds 450 cm of water. What is the height of the prism, in
motikmotik

Step-by-step explanation:

see the photo for the answer

7 0
3 years ago
What is the reciprocal of 7/12
Artemon [7]
The reciprocal is just when you flip the number that you're given. the reciprocal of 7/12 is 12/7
6 0
3 years ago
Generate the nest three terms of each arithmetic sequence shown below.
o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

a_{n}=a_{1}+(n-1)d

Now

a_{2}=a_{1}+(2-1)d

a_{2}=a_{1}+(1)d

Substituting the given value we get

a_{2}= -2+(1)4

a_{2}= -2+4

a_{2}= 2

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

Similarly

a_{3}=a_{1}+(3-1)d

a_{3}=a_{1}+(2)d

Substituting the given value we get

a_{3}= -2+(2)4

a_{3}= -2+8

a_{3}= 6

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

a_{4}=a_{1}+(4-1)d

a_{4}=a_{1}+(3)d

Substituting the given value we get

a_{4}= -2+(3)4

a_{4}= -2+16

a_{4}= 10

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

<u>B</u><u>  a_n=a_{(n-1)}-8  with a_1=10</u>

a_2=a_{(2-1)}-8

a_2=a_{1}-8

Substituting the given value

a_2= 10-8

a_2=2

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

a_3=a_{(3-1)}-8

a_3=a_{2}-8

Substituting the  value

a_3=2-8

a_3= -6

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

a_4=a_{(4-1)}-8

a_4=a_{3}-8

Substituting the  value

a_4= -6-8

a_4= -14

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

<u>C) a_1=3, a_2=1</u>

Here the difference is -2

the arithmetic sequence formula is

a_{n}=a_{1}+(n-1)d

Now

a_{3}=a_{1}+(3-1)d

a_{3}=a_{1}+(2)d

Substituting the value we get

a_{3}= 3+(2)-2

a_{3}= 3-4

a_{3}= -1

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

a_{4}=a_{1}+(4-1)d

a_{4}=a_{1}+(3)d

Substituting the value we get

a_{4}= 3+(3)-2

a_{4}= 3-6

a_{4}= -3

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

a_{5}=a_{1}+(5-1)d

a_{5}=a_{1}+(4)d

Substituting the value we get

a_{5}= 3+(4)-2

a_{5}= 3-8

a_{5}= -5

4 0
3 years ago
Vector has x, y, and z components of 4.00, 4.00, and 1.00 units, respectively. calculate the magnitude of .
Molodets [167]
Magnitude  = sqrt (4^2 + 4^2 + 1^2)  = sqrt 33  Answer
5 0
4 years ago
To win a trivia game, Negan must score 90 points. Each correct answer is worth 1 3 over 4 points, and each incorrect answer is w
DedPeter [7]

Answer:

 Nevan won the game.

 He scored 183 points.

Explanation:

  Correct answer is worth 13/4 points

  Incorrect answer is worth -1/4 points.

  Number of correct answers = 58

  Number of incorrect answers = 22

  Point scored =58*\frac{13}{4} +22*\frac{-1}{4} =\frac{732}{4} =183

  Points need to win = 90 points

  Point scored, 183 >Points need to win, 90

  So, Nevan won the game.

6 0
3 years ago
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