The Polleys want to put in a swimming pool next summer. They need to save $7,000 over 12 months in order to achieve this goal. They set aside the same amount each month and after 6 months discovered they have saved $3,200. 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 $125 from their original plan. Which plan, if any, will work for the Polleys?

Answers

Answer 1

Answer:

a.) because one month isn't very long

Step-by-step explanation:


Related Questions

Starbucks repurchased over $7,208.7 million of its common stock in 2018. Did this repurchase increase or decrease Starbucks’ ROE?

Answers

Probably increase yayayay

15 points?

Solve for A

5/A = P

A = ????

That’s all it says
Please state what A is.

Answers

Answer:

A = 5 / P

Step-by-step explanation:

5 / A = P

A = 5 / P

Which of the following relations represent a function? A. {(-1,-1),(0,0),(2,2),(5,5)}. B. None of these. C. {(0,3),(0,-3),(-3,0),(3,0). D. {(-2,4),(-1,0),(-2,0),(2,6)

Answers

Answer:

  A

Step-by-step explanation:

In a list of ordered pairs, a relation that is a function will not have any repeated x-values.

A -- a function (x-values are {-1, 0, 2, 5} with no repeats)

B -- irrelevant

C -- not a function (x-values are {0, 0, -3, 3} with 0 being repeated)

D -- not a function (x-values are {-2, -1, -2, 2} with -2 being repeated)

Evaluate
Algebraic
Expressions
A large waffle cone costs $2.06 dollars more than a
sugar cone. The sugar cone is 1.56.
What is the cost of the waffle cone?​

Answers

Answer:

The waffle cone is $3.62.

First, say what your variables are.

w = large waffle cone

s = sugar cone

Next, create two equations given the data in the word problem.

[tex]2.06 + s = w[/tex]

[tex]s = 1.56[/tex]

Because you have what the sugar cone is valued at, replace the s in the first equation with 1.56 and solve.

[tex]2.06 + (1.56) = w[/tex]

[tex]w = 3.62[/tex]

What is a key distinction between parametric tests and nonparametric tests in terms of scales of measurement

Answers

Answer:

Parametric tests are used for interval and ratio data and Non parametric tests are used for ordinal and nominal data.

Step-by-step explanation:

Parametric tests are used for interval and ratio data and Non parametric tests are used for ordinal and nominal data.

The interval data shows data with differences or intervals.

The ratio data is the one in which statistical inferences is used and can be added ,subtracted , multiplied, or divided.

Ordinal data is one in which we measure quantitative data such as height , weight  but is in order.

Nominal data  is one in which we measure quantitative data such as hair color eye color  without order or which does not require order or sequence.

A linear trend equation is used to represent time series values when the data are changing by equal what? a. proportions b. amounts c. percentsd. percents and proportions

Answers

Answer: Amounts

Step-by-step explanation:

Time series analysis are the method which are used by researchers to analyze the time series data so as to get the features of the data and to also derive meaningful statistics.

A linear trend equation is used to represent time series values when the data are changing by equal amounts.

Suppose "35" cars start at a car race. In how many ways can the top 3 cars finish the​ race?
The number of different top three finishes possible for this race of 35 cars is 39,270. (Use integers for any number in the expression.)

Answers

Answer:

The  value  is   [tex]\left 35 } \atop }} \right. P_3 = 39270[/tex]

Step-by-step explanation:

From the question we are told that

    The  total number of cars is  [tex]n = 35[/tex]

     The  number cars considered is  [tex]r = 3[/tex]

Generally the number of different top three finishes possible for this race of 35 cars  is mathematically represented as

       [tex]\left n } \atop }} \right. P_r = \frac{n!}{(n - r) !}[/tex]

       [tex]\left 35 } \atop }} \right. P_3 = \frac{35! }{(35 - 3) !}[/tex]

       [tex]\left 35 } \atop }} \right. P_3 = \frac{35 * 34 * 33 * 32! }{32 !}[/tex]

       [tex]\left 35 } \atop }} \right. P_3 = 39270[/tex]

Can someone help me QUICK lol sorry!! B is the midpoint of AC. If AB=8x+2, and BC = 4x+18. Find AC

Answers

Answer:

AC = 12x + 20

Step-by-step explanation:

Combine the terms:

AB + BC = AC

AB = 8x + 2

BC = 4x + 18

Plug in the corresponding terms to the corresponding variables:

(8x + 2) + (4x + 18) = AC

AC = 8x + 4x  + 18 + 2

AC = 12x + 20

12x + 20 is your answer for AC.

~

Answer:

68

Step-by-step explanation:

8x+2=4x+18

8x-4x=18-2

4x=16

x=4

Now we substitute it back in:

8(4)+2+4(4)+18-

32+2+16+18=

68

WILL GIVE BRAINLIEIST!!
The efficiency of a motor can be measured by the percent of input power that the motor uses. E(c) models the efficiency (in percentage points) of a certain motor as a function of the power inputs current c (in amperes). Match each statement with the feature of the graph that most closely corresponds to it.

Answers

Answer:

The matches are:

Feature: Increasing or decreasing interval (specifically, a decreasing interval)

Statement: As the input power's current grows beyond 1 ampere...

Feature: Relative minimum or maximum (specifically, relative maximum)

Statement: At its most efficient, the motor uses...

Feature: x-intercept

Statement: The motor loses all efficiency when the current...

Step-by-step explanation:

The first statement describes a decreasing interval, specifically the decreasing efficiency beyond 1 ampere of input current

The second statement describes a relative maximum, specifically the maximum efficiency at an input current of 1 ampere

The third statement describes an x-intercept, specifically the efficiency hitting 0% when the input current is ≥ 3 amperes

Answer:

(a) x -intercept with the last statement (the one at the bottom)

(b) Relative maximum with the second (middle) statement.

(c) Increasing or decreasing with the first (top) statement.

See details below:

Step-by-step explanation:

(a)  The x-intercept goes with the info on what happens when the graph crosses the horizontal axis, so it goes with the third statement given:

The motor loses all efficiency when the current hits 3 amps.

(b)  Relative max: agrees with what happens at the maximum the curve shows reaching approximately 50% value in the vertical scale:

At its most efficiency the motor uses about 50% of the  input power

(c)  Increasing or decreasing interval: The function clearly increases from values of the horizontal variable starting at around 0.4, up to a value of 1, and from then onwards it decreases. So it agrees with:

As the input grows more than 1 ampere, the motor becomes less efficient.

-3|2•8-4•5|+(16-7)/3

Answers

Answer:

-9

Step-by-step explanation:

-3|16-20|+9/3

-3|-4|+3

-3*4+3

-12+3

-9

Two integers are relatively _________ if and only if their only common positive integer factor is 1.

Answers

Answer:

Two integers are relatively primes if and only if their only common positive integer factor is 1.

Step-by-step explanation:

The prime number is one whose only divisor is 1 and itself.

The prime factors of a whole number are the exact prime divisors of that whole number. In other words, every composite number can be written as a multiplication of two or more prime factors.

So, two integers are relative primes if they have no prime factor in common, or, put another way, if they have no common divisor other than 1.

So, two integers are relatively primes if and only if their only common positive integer factor is 1.

Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theodore correct? A Yes, the triangles are similar with a scale factor of 32. B No, the triangles are similar with a scale factor of 21. C No, the triangles are similar with a scale factor of 23. D No, the triangles are similar with a scale factor of 43.

Answers

*Correct Question:

Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 3/2. Is Theodore correct?

A. Yes, the triangles are similar with a scale factor of 3/2.

B. No, the triangles are similar with a scale factor of 2/1.

C. No, the triangles are similar with a scale factor of 2/3.

D. No, the triangles are similar with a scale factor of 4/3.

Answer:

C. No, the triangles are similar with a scale factor of 2/3.

Step-by-step explanation:

∆TUV is the original triangle. After transformation, the size reduced to give us ∆WXY. This means ∆TUV was reduced by a scale factor to give ∆WXY. The scale factor should be a fraction, suggesting, the original size of the ∆ was reduced upon transformation.

Thus, the ratio of their corresponding sides = the scale factor.

This is: [tex] \frac{8}{12} = \frac{16}{24} = \frac{12}{18} = \frac{2}{3} [/tex]

If you multiply the side length of ∆TUV by ⅔, you'd get side length of ∆WXY.

So, Theodore is wrong.

Please help Simplify (3^6)^18

Answers

Answer:

when we put an exponent on a number which already has an exponent, the exponents are multiplied

we have: [tex]3^{6^{18} }[/tex]

= [tex]3^{108}[/tex]

(3)^6×18

(3)^108

now if you want to further simplify it then just simply calculate 3^108 on the calculator

to make it clear (3^6)^18 and 3^6^8 are two different situations

in the first one the power will be multiplied by the second power

and in the second one 6 will be multiplied by itself 8 times

A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day he sails N 10 ° E for d2 = 65 mi, reaching Forrest Island.
(a) Find the distance between the fisherman's home port and Forrest Island. (Round your answer to two decimal places.)
(b) Find the bearing from Forrest Island back to his home port. (Round your answer to one decimal place.)
S ° E

Answers

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

A........ divides a two - dimensional shape into two congruent shapes​

Answers

Answer:

A diagonal. (A rectangle is divided into two triangles by a diagonal, for example.)

The diagonal of a triangle divides a two dimentional shape into two congruent shapes.

The congruent shapes are equally the same

Write the set of all real numbers greater than 19 and less than 32 in set-builder notation.
The set-builder notation is {x|

Answers

Answer: {xI x ∈ R, 19 < x < 32}

Step-by-step explanation:

This notation is:

{xI condition1, condition2, ...}

The first condition is:

From what set we take the values of x?

From the set of real numbers.

x ∈ R

The other conditions are the limitations that we have for x, in this case:

19 < x < 32

Then we can write this as:

{xI x ∈ R, 19 < x < 32}

Evaluate R C F · dr, where F(x, y, z) = 5xi − 5yj − 3zk and C is given by the vector function r(t) = hsin t, cost, ti, where 0 ≤ t ≤ π.

Answers

Answer:

[tex]\mathbf{ - \dfrac{3 \pi^2}{2}}[/tex]

Step-by-step explanation:

Given that:

F(x, y, z) = 5xi - 5yj - 3zk

The objective is to evaluate the [tex]\int _c F \ dr .C[/tex]

and C is given by the vector function  r(t) = (sin t, cost, t) where  0 ≤ t ≤ π

[tex]F(r(t)) = 5 \ sint \ i - 5 \ cost \ j - 3t \ k[/tex]

[tex]\int_c F . \ dr = \int ^{\pi}_{0} ( 5 \ sint \ i - 5 cos t \ j - 3 t \ k ) ( cos \ t , - sin \ t , 1 ) \ dt[/tex]

[tex]=\int ^{\pi}_{0} ( 5 \ sint \ cost+ 5 cos t \ sin t - 3 t) dt[/tex]

[tex]=\int ^{\pi}_{0} ( 10 \ sint \ cost) \ dt -3 \int ^{\pi}_{0} \ dt[/tex]

[tex]= \int ^{\pi}_{0} ( 10 \ sint \ cost) \ dt - 3 [\dfrac {t^2}{2}]^{\pi}_{0} \ \ dt[/tex]

[tex]= 10 [\dfrac{sin^2 \ t}{2}]^{\pi}_{0} - \dfrac{3}{2}(\pi)^2[/tex]

By dividing 2 with 10 and integrating [tex]= 10 [\dfrac{sin^2 \ t}{2}]^{\pi}_{0}[/tex]; we have:

[tex]=5(sin^2t -sin^2 0) -\dfrac{3 \pi^2}{2}[/tex]

[tex]=5(0) -\dfrac{3 \pi^2}{2}[/tex]

[tex]= 0 - \dfrac{3 \pi^2}{2}[/tex]

[tex]\mathbf{= - \dfrac{3 \pi^2}{2}}[/tex]

4) A bay contains 18 balls out of which ac balls
are white :
one ball is drawn at random
what is the probability that it is white
ii) at two more white balls are put in the
bag
the probability of craving a white ball
& times than that it was before. Find a

Answers

Answer:

find a what?because it dont tell us what to find

A standard number cube is rolled. Calculate: P(rolling a 5)

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Total no. of outcomes = 1,2,3,4,5,6

No. of times 5 is on the cube =1

Therefore, probability of getting a 5 = [tex]\frac{1}{6}[/tex]

What is an equation of the line that passes through the points (5,-2) and (2, -5)?
Put your answer in fully reduced form.

Answers

Answer:

it would be -4

Step-by-step explanation:

because a positive and negative 5 cancel each other out.

and a negative 2 plus a positive 2 is a negative 4.

-4 because the dude on top said it

If g(x)=a x f(x+b) how is f(x) transformed to get g(x)

Answers

Answer:

a: -2f(x+4)

Step-by-step explanation:

Took the quiz, got 100%.

The function f(x) = ∛x is transformed to obtain g(x) = -2f(x + 4). Option A is correct.

The function f(x) = ∛x is shifted horizontally to the left by 4 units.

This means that every point on the graph of f(x) is moved 4 units to the left.

After the horizontal shift, the function is reflected vertically and stretched vertically by a factor of 2.

The reflection indicates that the graph is flipped upside down, and the stretching means that the graph is elongated vertically by a factor of 2.

By applying these transformations to the function f(x) = ∛x, we obtain the function g(x) = -2f(x + 4).

The negative sign indicates the vertical reflection, and the factor of 2 represents the vertical stretching.

The horizontal shift of 4 units is applied to the argument of the function, which is (x + 4)

To learn more on Graph transformations click:

https://brainly.com/question/19040905

#SPJ2

What value(s) of x will make each equation below true?

2x – 6 = 3x +1-x-7

Answers

The answer is any value that you put in for x would make the equation true. When you simplify the whole equation it looks like this: 2x - 6 = 2x - 6, therefor you could replace x with any value.

Making a certain shade of paint requires mixing 3 parts silver with 4 parts green. Meg uses this data to start this table of equivalent ratios.

Answers

Answer:

6:8 and 9:12

Step-by-step explanation:

The equivalent ratios of the given quantity of silver parts of paint to green which is 3:4 are: 6:8 and 9:12.

What are Equivalent Ratios?

When compared to one another, equivalent ratios are defined as having the same values.

For example, 8/16, 4/8 and 1/2 re equivalent ratios because:

Given:

The table that shows the ratio of the number of parts silver to number of parts green as 3 parts silver to 4 parts green, then

ratio = 3:4.

This means that for 3 parts of silver paint, we would require 4 parts of green paint to give the shade of paint that is needed.

so,

6/8 = 3/4

9/12 = 3/4

Thus, 6/8 = 9/12 = 3/4, which is equivalent.

Hence, the ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

Learn more about equivalent ratios here:

brainly.com/question/13513438

#SPJ2

Round 3.802 to the nearest tenth.

Answers

Answer:

3.8

Step-by-step explanation:

.8 is in the tenths

which statement is true about the value of |-5|

Answers

It is the distance that -5 is from 0 on the number line

is 289 a prime number​

Answers

Answer:

No

Step-by-step explanation:

Factors of 289 are = 1, 7, 289

answer

no

explanation

the factor of 289= 1 , 17

Someone, please help me with this.

Answers

Answer:

x = 14

Step-by-step explanation:

To solve this problem, we must remember that the addition of two angles that create a straight line should have a sum of 180 degrees.

From this information, we can create the following equation.

(7x - 1) + (6x - 1) = 180

Eliminating the parentheses and grouping like terms gives us:

(7x + 6x) + (-1 + -1) = 180

Simplifying inside the parentheses on the left side produces:

13x - 2 = 180

Next, we should add 2 to both sides to isolate the variable term:

13x = 182

Finally, we should divide by 13 to get the x by itself on the left side of the equation:

13x/13 = 182/13

x = 14

Therefore, the answer to your question is x = 14.

Hope this helps!

Answer:

x = 14

Hope it helps u

plz mark it as brainlist

Choose the best definition for the following term: variable

Answers

Step-by-step explanation:

a variable is a quantity that may change within the context of a mathematical problem or experiment

I hope this was helpful

given log6=0.778,find log36.

Answers

Answer:

We know that

1 ) log a^n = n log a

Now ,

log 6 = 0.7782 ----( 1 )

log 36 = log 6²

= 2 log 6

= 2 × 0.7782

= 1.5564

Which symbol is needed between -2? |-3| to make a true statement? PLS HELP
60 points!!!!!!!!!!!!!!!
A. <
B. >
C. =

Answers

Answer:

[tex]\Huge \boxed{<}[/tex]

Step-by-step explanation:

-2 ? |-3|

Solve for absolute value.

Apply rule : |-a| = a

|-3| = 3

-2 ? 3

-2 is less than 3.

The less than symbol is “<”.

-2 < 3

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