You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=75+(25+8)w gives the amount b in your account after w weeks. How many weeks from now will you have $270 in your bank account?

Answers

Answer 1

Answer:

Step-by-step explanation:

Combine the two sources of income (25 + 8) = 33

b = 75+ (33)w

Let b = 270

Solve for w

270 = 75 + 33*w           Subtract 75 from both sides

270 - 75 = 33w

195 = 33w                     Divide by 33

195/33 = w            

w = 5.91 weeks              

The question is what do you do now?

The answer should be that you round to the next week which means that it will take you 6 weeks to get just over 270 dollars.


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Answers

Answer:

15 seconds

Step-by-step explanation:

How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.

First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)

Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15

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reverse it to see if your right: 15×6 2/3 is 100

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A dog kennel charges a daily boarding rate as shown on the graph. use the information to mark 5-8 as true or false. if false, rewrite the statement correctly. 1. The dog kennel charges $60 per day. 2. The equation y = 30x can represent the graph. 3.Third is It costs $200 to board a dog for 7 days 4. The graph will contain the coordinate (9,270) Please give me all answers to all questions or i will go into trouble

Answers

The relationship between the cost charged for the daily boarding of dogs

by the kennel is a directly proportional relationship.

The correct responses are;

1. The dog kennel charges $60 per day is; False

Correct statement; The dog kennel charges $30 per day

2. The equation y = 30·x can represent the graph; True

3. It costs $200 to board a dog for 7 days is; False

Correct statement; It costs $210 to board a dog for 7 days

4.The graph will contain the coordinate point (9, 270); True

Reasons:

Points on the graph of the given graph of the Cost to Number of days are;

(2, 60), (4, 120)

The slope of the graph is [tex]m = \dfrac{120 - 60}{4 - 2} = 30[/tex]

Equation of the graph is therefore; y - 60 = 30·(x - 2)

Which gives;

y  = 30·x - 2×30 + 60 = 30·x

The equation of the graph is; y = 30·x

Therefore, the statement;

2. The equation y = 30·x can represent the graph is; True

The cost of the dog kennel a day is given by the value of 'y', when x = 1, as

follows;

Cost per day, y = 30 × 1 = 30

The cost per day = $30 per day

Therefore;

1. The dog kennel charges $60 per day is; False

The correct statement is; The dog kennel charges $30 per day

3. The statement; It costs $200 to board a dog for 7 days is; False

The amount it costs to board a dog for 7 days is y = $30×7 = $210

Therefore, the correct statement is; It costs $210 to board a dog for 7 days

4. When x = 9, we have; y = 30 × 9 = 270

Therefore, the statement; the graph will contain the coordinate point (9, 270) is; True

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