The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal. They set aside the same amount each month and after 7 months discovered they have saved $3,100. The Polleys know that they must adjust their plan in order to meet their goal, so they come up with the following options:Option A: Save the original amount each month but put the pool in one month later than originally planned.

Option B: Increase savings each month by $100 from their original plan

Answers

Answer 1
Answer:

Answer:

Neither option A nor option B will allow them to meet their goal.

Step-by-step explanation:

Consider the provided information.

The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal.

They set aside the same amount each month and after 7 months discovered they have saved $3,100. Now he left with 5 months (∴7+5=12 months)

Let x is the amount he was saving each month. He saved x amount for 7 months and after 7 months he has $3100.

7x=3100

x=442.86

He saved approximately $442.86 each month.

Option A Save the original amount each month but put the pool in one month later than originally planned.

That means the number of month he has now 5+1=6.

Now find how much he can save in 6 months if he save $442.86 per month.

6×442.86=2657.16

Now add his all savings as:

$3100+$2657.16=$5757.16

Thus, the option A will not allow him to meet his goal.

Now consider the option B) Increase savings each month by $100 from their original plan.

Previously he was saving $442.86 each month now increase this number by $100.

$442.86+$100=$542.86

In 5 months he can save:

5×542.86=$2714.3

Now add his all savings as:

$3100+$2714.3= 5814.3

Thus, the option B will not allow him to meet his goal.

Answer 2
Answer:

Answer:

its D

Step-by-step explanation:


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A cell phone company orders 600 new phones from a manufacturer. If the probability of a phone being defective is 3.5%, predict how many of the phones are likely to be defective. Round to the nearest whole number.18 phones
21 phones
210 phones
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Answers

To determine the number of cellphones likely to be defective, multiply the number of phones ordered by the probability. In this item, the product of 600 and 3.5% or 0.035 is 21. Therefore, 21 out of 600 phones are likely to be defective. The answer is the second among the choices. 

Answer:

21

Step-by-step explanation:

What is the value of x log3 x=4

Answers

Answer:

x=81

Step-by-step explanation:

Rewrite log_3 (x)=4 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then log_b(x)=y is equivalent to b^y=x.

Rewrite the equation as x=3^4

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A caterpillar is 2.83 centimeters long.how long I'd the caterpillar rounded to the nearest whole centimeter? A. 2 centimeters
B. 2.8 centimeters
C. 2.9 centimeters
D. 3 centimeters


I think it is D. but I am not sure. .........

Answers

The answer to this is D because a whole is a number without decimal points or fractions. And since it is over .5 , you round up. So 3 centimeters.
D. would be the correct answer because a "whole" number is one without decimals. Whole numbers are NOT negative, so any number 0 and above without a decimal place is a whole number.

When rounding, take decimal places that are 5 or greater and make them 10. You can think of it as adding 1 to the number to the left of the rounded decimal place.

ex.  1.5 rounds up to 2
        the 5 becomes a 10 which turns the 1 into a 2
ex.  5.6 rounds to 6
       the 6 rounds up to 10 making the 5 a 6
ex.  9.2 rounds to 9
       because 2 is less than five it rounds down to 0

What is the solution to this system of linear equations?y − 4x = 7

2y + 4x = 2

(3, 1)
(1, 3)
(3, −1)
(−1, 3)

Answers

Answer:

The correct answer is D. (-1,3)

Answer:

The answer would be D (-1, 3)

How do i find the fourth side of quadrilateral if three sides are given?

Answers

The length of a fourth side of a quadrilateral cannot be directly calculated from just the lengths of the other three sides. Additional information like the quadrilateral type, or types of angles within the quadrilateral, would be needed to calculate the length of the fourth side.

In mathematics, specifically geometry, the length of the fourth side of a quadrilateral (a shape with four sides) cannot be directly determined just by knowing the lengths of the three other sides. This is because a quadrilateral can be of multiple shapes such as squares, rectangles, parallelograms, trapezoids, etc., each having different properties.

However, if you have additional information like the types of angles within the quadrilateral or if it's a specific type of quadrilateral (rectangle, square, etc.), then you could possibly calculate the length of the fourth side.

For example, in a rectangle, opposite sides are equal so if you know three sides and know it's a rectangle, then the fourth side would be equal to the opposite side.

Without any additional information, there isn't a simple formula that can be used to directly calculate the length of the fourth side of any arbitrary quadrilateral.

Learn more about the topic of Quadrilateral here:

brainly.com/question/29934440

#SPJ11

Answer:

\mathrm{Well,\ just\ by\ knowing\ the\ length\ of\ sides,\ you\ won't\ be\ able\ to\ calculate\ the}\n\mathrm{fourth\ side,\ unless\ you\ know\ that\ is\ an\ especial\ type\ of\ quadrilateral\ (for}\n\mathrm{example:\ rectangle,\ parallelogram,\ rhombus,\ square,\ etc).\ You\ will\ also\ need}\n\mathrm{the\ two\ unknown\ angles\ between\ those\ three\ sides.\ You\ will\ get\ what\ I\ mean\ if}\n\mathrm{you\ look\ the\ below\ diagram:}

\mathrm{Of\ course,\ you\ won't\ know\ how\ far\ the\ points\ A\ and\ D\ are\ unless\ you\ know}\n\mathrm{\angle B\ and\ \angle\ C.\ }

\mathrm{This\ concept\ works\ for\ triangles\ too.\ You\ can't\ find\ the\ third\ side\ of}\n\mathrm{a\ triangle\ only\ by\ knowing\ the\ length\ of\ the\ other\ two\ sides.\ You\ need\ to\ know}\n\mathrm{the\ angles\ between\ the\ two\ given\ sides.}

You and a friend are playing a board game your final score x is 12 points less than your friend final score

Answers

You can put it into expressions:
Your score would be x
Your friends score would be x +12

Hope This Helps You!
Good Luck Studying :)