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Norma-Jean [14]
2 years ago
15

Kerry has a job that pays $1,954 biweekly. How much is withheld annually for Social Security?

Mathematics
1 answer:
Alexandra [31]2 years ago
8 0

Answer:

hi

Step-by-step explanation:

no

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A. When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time? *
LenaWriter [7]

Answer:

Part a) The number is 8

Part b) The initial number of bacteria is 4

Part c) y=4(8)^x

Part d) y=100(8)^x

Step-by-step explanation:

we know that

The equation of a exponential function is equal to

y=a(b)^x

where

y is the number of bacteria

x is the time in hours

b is the base of the exponential function

a is the initial number of bacteria

Part a) When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time?

we know that

For x=1 h ----> y=32 bacteria

For x=2 h ----> y=256 bacteria

For x=3 h ----> y=2,048 bacteria

For x=4 h ----> y=16,384 bacteria

For x=5 h ----> y=131,072 bacteria

For x=6 h ----> y=1,048,576 bacteria

so

256/32=8

2,048/256=8

16,384\2,048=8

131,072/16,384=8

1,048,576\131,072=8

so

the base of the exponential function  b is 8

Part b) What is the initial number of bacteria? (at time zero)

we know that

The number of bacteria at time x=1 hour , divided by the number of bacteria at time x=0 must be equal to 8 (see part a)

so

\frac{32}{a}=8

solve for a

a=32/8=4\ bacteria

Part c) Write a rule for this table

we have

y=a(b)^x

we have

a=4\\b=8

substitute

y=4(8)^x

Part d) Suppose you started with 100 bacteria, but they still grew by the same growth factor. Write the function rule for this situation

In this case

a=100

b=8 ---> the growth factor is the same

so

y=100(8)^x

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Answer:

Let m be the number of muffins.

a) 4m <= 30

b) m <= 7.5, so the maximum number of muffins to buy is 7.

c) $4 × 7 = $28, so $2 will be left over.

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Solve the inequality, -4 less than 4(6y-12)-2y
erastova [34]

-4 < 4(6y - 12) - 2y

<em><u>Distributive property.</u></em>

-4 < 24y - 48 - 2y

<em><u>Combine like terms.</u></em>

-4 < 22y - 48

<em><u>Add 48 to both sides.</u></em>

44 < 22y

<em><u>Divide both sides by 22.</u></em>

2 < y

The value of y is greater than the value of 2.

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Violet used 1 3/4 gallons of paint on her kitchen walls. She used 4 times as much paint for her living room and bedroom walls. H
beks73 [17]
The answer is 4 x 1 3/4 =4 12/16
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Answer:

I would say that the answer is 4/20

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