Solve for the value of r.
180= (6r-4) +94

The reasonable estimate of the current customer price index is 195. The option B is the correct option.

Customer price index is the price index which measures the weight average of price of basket of customers goods or services.

It can be given as,

[tex]\rm CPI_t=\dfrac{C_t}{C_0}\times 100[/tex]

Here [tex]\rm C_t[/tex] is the cost of market basket in current period and [tex]\rm C_0[/tex] is the cost of market basket in the base period.

Cost of market basket in current period is

[tex]\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9[/tex]

Cost of market basket in 1983 is,

[tex]\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8[/tex]

Substitute all the values in the formula

[tex]\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx[/tex]

Thus the value of current CPI is 168.5 which is near about the 170.

Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.

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Answer:

This shirt has 8 holes :)

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Factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]

The given expression is:

[tex]6x^2-11x-10[/tex]

A factor is a number that divides another number leaving no remainder.

we can split the middle term as,

[tex]6x^2-15x +4x-10\\[/tex]

[tex]3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)[/tex]

Therefore factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]

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Answer:

(A) 9

Step-by-step explanation:

Substitute 2 for X

[tex]7-(-2)=9[/tex]

Answer:

Step-by-step explanation:

Horse A travels twice the distance horse B travels.

It is because the distance, the circumference of circle, is the function of the radius. The circumference is directly proportional with the radius.

Since r₁ = 2r₂, the distance is:

The time of travel is same so the difference is reflected in the speed.

The horse A has twice the speed of horse B.

Answer:

Step-by-step explanation:

at the end of;                Karabo                         John

1st hour                           80km                          0km(bcause he hasn't started)

2nd hour                       160 km                         100km

3rd hour                        240 km                         200km

4th hour                        300 km                         300km

now I'm not sure whether we should consider the time period after the starting time of karabo, or that of John (they have a gap of one hour u know..)

so, from the starting time of karabo, it takes 4 hours, and from the starting time of John it's 3hours. (Because John started 1 hour later)

Answer:

y = 24

angle V = 67

as a 4 sided shape, the angles all have to add up to 360 degrees.

we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.

Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.

(x+95) = 120

   -95     -95

       x = 25

We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!

360 - 53 -120 - 120 = 67

Angle V is 67

Now to find y!

(2y+19)=67

     -19  -19

     2y = 48

     /2     /2

       y = 24

Answer:

10

Step-by-step explanation:

hope this helped have a nice day

Answer:

The answer is C

Step-by-step explanation:

Since the line above the letters is an arrow that means the two points have to create a line like that. Therefore, the answer is DB.

Answer:

DB

Step-by-step explanation:

Why others rejected?

E C

E B is rejected as points are not on one line

Answer:

x = 2, -2

explanation:

[tex]\sf y=x^4+3x^3+x^2-12x-20[/tex]

Find a factor for this equation:

-5 < x < 5

-------------

f(-3) = 25

f(-2) = 0

f(-1) = -9

f(0) = -20

f(1) = -27

f(2) = 0

f(3) = 115

Hence found that ( x -2) and ( x + 2) are the factor of the following equation.

Divide both by the following equation:

[tex]\sf \rightarrow \dfrac{x^4+3x^3+x^2-12x-20}{\left(x-2\right)\left(x+2\right)}[/tex]

[tex]\sf \rightarrow \dfrac{\left(x-2\right)\left(x+2\right)\left(x^2+3x+5\right)}{\left(x-2\right)\left(x+2\right)}[/tex]

[tex]\sf \rightarrow x^2+3x+5[/tex]

Using quadratic formula: [tex]\sf x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]

[tex]\sf \hookrightarrow x_{1,\:2}=\dfrac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]

[tex]\hookrightarrow x=-\dfrac{3}{2}+i\dfrac{\sqrt{11}}{2},\:x=-\dfrac{3}{2}-i\dfrac{\sqrt{11}}{2}[/tex]

Thus the zero's of the function are:

x = 2, -2

Answer:

[tex]x=2, x=-2[/tex]; [tex]\frac{-3\pm i\sqrt{11}}{2} \in \mathbb{C}[/tex]

Step-by-step explanation:

Zeroes are found by setting the RHS = 0.

Since the quantity [tex]x^4+3x^3+x^2-12x-20[/tex] is a 4th degree polynomial there isn't a formula that gives us the solution, so we're stuck having to divide: to do so we make THE LIST: you list the divisors of the constant term without its sign (20: 1,2,4,5,10,20), the divisor of the lead coefficient (1), and you divide the first by the second in any possible way, adding a plus or minus:

[tex]\pm1, \pm2, \pm4, \pm5,\pm10,\pm20[/tex]. At this point you just have to check, replacing each one in the equation until you find two values that work (why two? You need to lower the degree of the polynomial by two, if you found only one you'd be stuck with a third degree equation which doesn't have an "easy" solving formula).

After some adding and multiplying you find that both 2 and -2 make the expression to zero. At this point you have two options

First is to divide the given expression by[tex](x-2)(x-2)=(x^2-4)[/tex] or, as I did in the image, notice that you will end up with a 2nd degree polynomial, whose coefficient you find by multiplying and confronting with the original equation.

Either way, you will end up with

[tex](x+2)(x-2)(x^2+3x+5)=0[/tex]

First two factors will give [tex]x=-2; x=2[/tex] respectively, while the third term has no real solutions (it still offers a pair of solutions in [tex]\mathbb{C}[/tex] which I'll add for the sake of completeness, but you're most likely required to look for real solutions only).

Answer:

The fourth table

Step-by-step explanation:

3(0)-1=-1

3(1)-1=2

3(2)-1=5

Hope this helps :)

Answer:

110

Step-by-step explanation:

101-86=15

95+15=110

110-15=95

Answer:

110

Step-by-step explanation:

In this problem, you are adding 15 to each Input to get the Output. That is why I added 15 to 95 in order to get 110.

Answer:

84

Step-by-step explanation:

(92 + 96 + 88 + x) ÷ 4 = 90

92 + 96 + 88 + x/4 = 90

276 + x/4 = 90

(276 + x) × 4/4 = 90 × 4

276 + x = 360

x = 360 - 276

x = 84

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Answer: B

Step-by-step explanation:

Answer:

25.20

Step-by-step explanation:

Answer:

The answer is 0.7344

I'm not sure tho

Answer:

 visual interpretation. of numerical data

Step-by-step explanation:

A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the number of data points that fall within a given range of values.

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here ,we have

Let the three consecutive number be

(4x - 2) , 4x , ( 4x + 2)

According to the question,

[tex]\sf{ (4x - 2) + 4x + ( 4x + 2) = 144}[/tex]

[tex]\sf{ 4x - 2 + 4x + 4x + 2 = 144}[/tex]

[tex]\sf{ 8x - 2 + 4x + 2 = 144}[/tex]

[tex]\sf{ 12x = 144}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 144}{12}}}}[/tex]

[tex]\sf{ x = 12 }[/tex]

Thus, The value of x is 12

Therefore,

The three consecutive even numbers are

Hence, The highest consecutive even number is 50 .

Answer:

57.72 in^2

Step-by-step explanation:

Question 1. Shapes are triangle, semi-circle, and rectangle.

Question 2.Find area of rectangle first. Then area of triangle and circle. Subtract area of triangle and circle. Then add the difference with the rectangles area.

Question 3.

Rectangle's area:48 in^2

Triangles area:8*4/2=  16 in^2

Circle Area: pi*r^2/2(since its a semi-circle)

3.14*2^2=3.14*4=12.56/2=6.28 in^2

Question 4.

16-6.28=9.72

9.72+48=57.72 in^2

Step-by-step explanation:

What is the molar mass of an element?

the total number of particles in one gram of the element

the mass of 6.02 x 1023 representative particles of the element

the number of amus (atomic mass units) in 6.02 x 1023 moles of the element

1.0 gram divided by the atomic weight of the element

Answer:

508.68cm^2

Step-by-step explanation:

this is a semicircle, so first get the whole circle by s=

[tex]\pi \: r {}^{2} [/tex]

so it said you should plug in 3.14 for pi,

3.14×18^2=1017.36

and semicircle should be the half of it, which is 508.68 cm^2

Answer:

127.17 cm²

Step-by-step explanation:

The area of a circle of radius r is given the the formula below.

A = πr²

Since you have a semicircle, divide the area of a circle by 2.

A[semicircle] = πr²/2

A[semicircle] = 3.14 × (9 cm)² / 2 = 127.17 cm²

Answer: 127.17 cm²

You are correct. Remember to include the units. In this case, it is cm².

The person that would have more money at the end of the year is Sara.

The formula that would be used to determine the future value of an amount is:

FV = P (1 + r/m)^nm

Jon = $7050 x (1 + 0.05/4)^4 = $7409.16

Sara = $4867 x (1 + 0.1 / 365)^365 = $5378.79

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Answer:

Step-by-step explanation:

15(5+2) is the Answer

The greatest common factor to rewrite 75+30 as 15(5+2)

Greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

An expression is a combination of numbers, variables and operators.

The given expression is 75+30.

By using distributive law we can find this.

Let us find factors of 75 and 30.

The factors of 75 are 1, 3, 5, 15, 25, 75

The factors of 30 are 1, 3, 5, 9, 15, 45

Their GCF is 15.

To get 75, we will multiply 15 by 5.

To get 30, we will multiply 15 by 2.

By using distributive property

75+30 can be splitted to factors as

15(5+2)

Hence  the greatest common factor to rewrite 75+30 as 15(5+2)

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Answer: A.

I would say that it would have to be A. because it seems like B has all of the dots a little higher than the line while on A they seem closer packed into the line.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

formula= principal (1+(rate÷100))^number of years

5500(1+(1.6÷100))^4

5500 (1+0.016)^4

5500(1.016)^4

5500 (1.06555245)

5,860.53

$5,860.53

Answer:

x = 52.2

Step-by-step explanation:

we have adjacent (56) and opposite (x) so we use tan (Toa = opposite/adjacent).

Set up like so:

tan 43 = x/56

x = 52.2208

x = 52.2

man i  don't   know

Step-by-step explanation:

 i  hope  it's   like 20 ? i guess  it's  20

Answer:

4(p+1)

Step-by-step explanation:

Answer:

35 is different from 20

Step-by-step explanation:

too easy for explanation

Answer:

The difference is 14.932

Step-by-step explanation:

In other words, it's asking you to subtract 20.1 from 35.032.

Hope that helps!