Eight more than six times a number is the same as two less than 8 times the number. What is the number?

On the basis that the woman invests in the 15% bond, she be  will able to invest $18,750 in the CD

What is the total expected interest from both investments?

The investment is based  on the fact the investor is able to make $3,000 in  interest from the bond and CD investments

total expected interest=$3,000

interest on bond investment=15%*x=0.15x

amount invested in CD=30000-x

interest on CD=(30000-x)*7%

interest on CD=2100-0.07x

total interest=0.15x+2100-0.07x

total interest=3000

3000=0.15x+2100-0.07x

3000=0.08x+2100

3000-2100=0.08x

900=0.08x

x=900/0.08

x=amount invested in the bond=$11,250

amount invested in CD=$30,000-$11,250

amount invested in CD=$18,750

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Answer:

225

Step-by-step explanation:

x² -y³

Evaluate for x=3,y=−6

3²−(−6)³

3²−(−6)³

=225

It should be noted that the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).

It should be noted that the expression given is illustrated as:

x⁴ - x² - 16

= x² - 16

= x² - 4²

= (x + 4)(x - 4)

Therefore, the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).

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The total cost of the home is 1,70,000 .

given,

down payment of home=23800

14 percent of the cost of their home

Then from here the rule says that ,

=100 x 23800/14

=1,70,000

therefore, we get a result of the total cost of the home that is ,

1,70,000.

The term percentile and the related term percentile rank are often used in the reporting of scores from norm-referenced tests. For example, if a score is at the 86th percentile, where 86 is the percentile rank, it is equal to the value below which 86% of the observations may be found. In contrast, if it is in the 86th percentile, the score is at or below the value of which 86% of the observations may be found. Every score is in the 100th percentile.

The 25th percentile is also known as the first quartile (Q1), the 50th percentile as the median or second quartile (Q2), and the 75th percentile as the third quartile (Q3). In general, percentiles and quartiles are specific types of quantiles.

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Answer: 4 3/7

Step-by-step explanation:

try finding the biggest value u can get to and divide it. for ex : 31 divied by 7 = 28 divided by 7 plus remainder 3/7

Answer: -88

Step-by-step explanation:

See if that's correct :)

The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Let's consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.

We have two points on the graph as (4, 4290) and (8, 3850)

Now we can find the slope of this line:

m = (y2 - y1)/(x2 - x1)          

Substitution;      

m = (3850 - 4290)/(8 - 4)          

Solve the subtraction in the parenthesis;

m = -440/4                              

m = -110                                  

Then we have the slope of the line, we can use the point-slope formula to find the equation for the line.

y - y1 = m(x - x1)                                    

Substitution;

y - 4290 = -110(x - 4)                            

y - 4290 = -110x + 440                            

y - 4290 + 4290 = -110x + 440 + 4290      

y = -110x + 4730                                    

Since the formula that is being sought is supposed to be in terms of P and t, we will replace y with P and x with t.

P(t) = -110t + 4730

To predict the population in 2006, we have to determine the years from 1990 to 2006.

2006 - 1990 = 16

P(16) = -110 (16) + 4730

P(16) = -1760 + 4730

P(16) = 2970

Hence, The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.

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The total pay for last week that Nelly earned was £180

From the information given, we have that;

For Monday - Friday

For Saturday

Double the normal rate of £8 per hour

The total hour She worked from Monday to Friday is;

= 3. 5 + 5 + 2.5 + 4 + 2

= 17 hours

From Monday to Friday

£8 × 15 = £120

£10 × 2 = £20

For Saturday

£8 × 2 = £16

£8 × 5 = £40

Total amount = £120 +  £20 + £40

Total amount = £180

Thus, the total pay for last week that Nelly earned was £180

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The distance between the negative number and the positive number is 25

The number is given as

12 1/2

When represented as a negative number and a positive number, we have the following representations

12 1/2 and -12 1/2

The distance between the negative number and the positive number is

Distance = |Positive - Negative|

So, we have

Distance = |12 1/2 - -12 1/2|

Evaluate the difference

So, we have

Distance = |25|

Remove the absolute bracket

So, we have

Distance = 25

Hence, the distance between the negative number and the positive number is 25

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The overall change in the stock's value is [tex]1\frac{13}{24}[/tex].

A mixed fraction is a non-integer that is made up of a whole number, numerator and a denominator. An example of a mixed fraction is 1 3/4. 1 is the whole number, 3 is the numerator and 4 is the denominator.

An increase in the stock value would be represented with an addition sign whole a decrease in the stock value would be represented with a negative sign. This means that increases in stock value would be added and decreases in stock value would be subtracted.

The overall change in the stock value = increase in stock on Monday morning - decrease in stock value on Monday afternoon + increase in stock value on Tuesday morning

The overall change in the stock value :

[tex]1\frac{3}{4} - 1\frac{1}{3} + 1\frac{1}{8}[/tex]

[tex]1\frac{18 - 8 + 3}{24}[/tex] = [tex]1\frac{13}{24}[/tex]

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Answer:

y = [tex]\frac{-5}{4}[/tex] x +5

Step-by-step explanation:

-5x - 4y = -20  Add 5x to both sides of the equation

-4y = 5x -20  Divide both sides by -4

y = [tex]\frac{-5}{4}[/tex] x - [tex]\frac{20}{-4}[/tex]

y = [tex]\frac{-5}{4}[/tex] x - -5

y = [tex]\frac{-5}{4}[/tex] x + 5

Answer: first one

Step-by-step explanation:

The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.

According to the statement,We have to find that the Area of the square B.

So, For this purpose, we know that the

The Area is defined because the total space concerned by a flat (2-D) surface or shape of an object.

From the given information:

The area of Square A is 121 square inches. The length of every side of Square B is 2 inches longer than the length of every side of Square A.

Then

We know that the realm of the square is a^2

Then

Given area of the square = 121.

Area = [tex]A^2[/tex]

121 = [tex]A^2[/tex]

[tex]A = \sqrt{121}[/tex]

A = 11.

The side of the square a is 11.

And The side of the square B = 11+2

The side of the square B = 13

The Area of the square B = Side * Side

Area of the square B = 13* 13

Area of the square B = 169.

Now, Increase in the area = 169 -121

Increase in the area = 48.

So, The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.

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The likelihood that it will land on red is the same as the likelihood that probability it will land on yellow. In this case, 52.

What exactly is probability?

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 generally denoting impossibility and 1 roughly denoting certainty.

based on the available facts;

Given, color likelihood Green Brown Yellow Red

P(R) + P(a) + P(B) + P(Y) = 1

2P(CR) + 0-74=1

P(R) 0.26/2

= 0.13 P(Y)

As it is span 400 times -

No. of times green= 0.2 off 400

                              =1/5 *(400)

                              =80

No. of times Brown= 0.54*100

                                =216

No. of times Red= 0.13× 400

                            = 52= No. of times yellow

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Answer:

2

Step-by-step explanation:

( 5 ⋅ 2 − 9 ) + 2 ⋅ 1/2

= ( 10 - 9 ) + 2 ⋅ 1/2

= 1 + 2 ⋅ 1/2

= 1 + 1

= 2

Based on the amount of food that the dogs eat per day, a 25- pound bag would last the dogs for 40 days

First, find the number of ounces in a 25 pound bag:

= 25 pounds x 16 ounces per pound

= 400 ounces

If 10 ounces of dog food last a day, how many days will the 25-pound bag last:

= Number of ounces of dog food in the bad / Number of ounces of dog food per day

= 400 / 10

= 40 days

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Answer:

957

Step-by-step explanation:

76x11=836

836+121=957

Answer:

[tex]\frac14[/tex]

Step-by-step explanation:

Both the numerator and the denominator have the common factor of 7, therefore, we can divide them both by 7 to further simplify the fraction.

[tex]\frac7{28} \to \frac{\frac77}{\frac{28}7} \to \frac14[/tex]

Line m, because if a mirror is placed on m, only one image will be truly reflected.

In mathematics, a line of reflection is a line along which each point in a shape appears at an equal distance just on opposite side.

As a result of this, we can conclude that

The line 'm' represents the reflection line.

The line 'p' represents the symmetry line.

The line 'n' represents the asymmetry line.

Therefore, line m is the line of reflection for the given figure.

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From the given box plot, it is found that:

The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.

A box and whisker plot shows five things:

The measures are shown in order, from left to right, hence:

The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.

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The expression for the statement is 4y - 1 = 3y + 4 and the number is 4.

The outcome of adding two or more numbers or phrases is known as the sum in mathematics. The sum is a method of bringing things together as a result.

Let's assume the number to be y.

Then,

4 times the number = 4y

6 times the number = 6y

Now, the sum of four times a number and -1 is equal to 6 times a number and 3.

4 × ( the number) + (-1) = 3 × ( the number) + 3

4 × (y) + (-1) = 3 × (y) + 3

4y - 1 = 3y + 3

Now, add 1 on each side:

4y - 1 + 1 = 3y + 3 + 1

4y = 3y + 4

Subtracting by 3y from each side:

4y - 3y = 3y + 4 - 3y

y = 4

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The given numbers ordered from least to greatest is {√7 , 2.8..., π, √17,  4.6}

First, we need to write all the given numbers in decimal form so we can accurately compare them.

The numbers are:

{4.6, √7, π, 2.8..., √17}

Rewriting all of these in decimal form:

√7 = 2.64

π = 3.14159265....

√17 = 4.12

Then the numbers are:

{4.6, 2.64, 3.14159265....,  2.8..., 4.12}

Now is easier to order these numbers, ordering them from least to greatest we will get:

{2.64, 2.8..., 3.14159265...., 4.12, 4.6}

Now, using the original notation we get:

{√7 , 2.8..., π, √17,  4.6}

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Answer:

look for the factors for the expression

8x^2-x-24x+3

x(8x-1)-3(8x-1)

(8x-1)(x-3)

< CEH and < HEB are complementary angles and < CEH = 70 degrees

< AEH and < HEB are supplementary angles and < AEH = 160 degrees

Given data

line AB and line EC are perpendicular

< HEB = 20 degrees

< CEH and < HEB

< CEH and < HEB are complementary angles that is to say adding them together gives 90 degrees.

< CEH + < HEB = 90

< CEH = 90 - 20

< CEH = 70 degrees

< AEH and < HEB

< AEH and < HEB are supplementary angles that is to say adding them together gives 180 degrees.

< AEH + < HEB = 180

< AEH = 180 - 20

< AEH = 160 degrees

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Out of all the T-shirts in shop, the fraction of T-shirts that are blue, medium, and on sale is x/8.

Let us assume the total number of shirts be x. So, the number of blue shirts in the shop are 3x/7.

Number of blue shirts on sale = 3x/7 × 7/8

Cancelling 7 common in numerator and denominator and performing multiplication

Number of blue shirts on sale = 3x/8

Number of blue shirts on sale medium in size = 3x/8 × 1/3

Cancelling 3 common in numerator and denominator and performing multiplication

Number of blue shirts on sale medium in size = x/8

Hence, the required fraction of T-shirts are x/8.

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