Help ASAP!!!!!! First gets brainliest

Answer:

$8,355.555

Step-by-step explanation:

Hello,

This question relates to compound interest and to solve it, we'll need to use the right formula.

C.P = P(1 + r/n)^nt

C.P = compound interest

P = principal

R = rate

N = number of times compounded

T = time

C.P = $47,000

P = ?

R = 5% = 0.05

N = 4

T = 35 years

Substituting the variables into the equation,

47,000 = P (1 + 0.05 / 4) ^ (4 × 35)

47,000 = P (1.0125) ^ 140

47,000 = P × 5.625

Divide both sides by 5.625 and solve for P

P = 47,000 / 5.625

P = $8,355.555

The initial investment was $8,355.555

Answer:

a) Point (42, 30,000)

b) The salaries are directly proportional to the age of a surgeon to a large extent

c) By performing regression analysis

Step-by-step explanation:

a) From the given information;

Given that Igor is an experienced surgeon that just completed his medical training, Igor has;

1) Years of experience

2) Redid his medical training to obtain the same qualification with more time spent

3) Able to work only with his newly acquired re-qualification

Therefore, Igor will receive wages similar to other recently trained surgeons that have similar years of experience post Igor's re-qualification

The point that most likely will represent Igor's data will have his years of experience and wage commensurate with his UK based post qualification experience, which is the point (42, 30,000)

b) Because from the graph apart from the two points, (that of Igor and (34, 44,000)), the salaries of the other points vary proportionately with the age of the Surgeon

c) By carrying out a regression analysis as follows;

A = 50, 55,000

B = 42, 46,000

C = 38, 42,000

D = 34, 44,000

E = 42, 30,000

F = 26, 30,000

G = 22, 28,000

Analyzing the above data using excel regression analysis gives Which gives

R² = 0.5739 which shows that approximately 60% of the data fit the Managing Directors data

The equation is as follows;

y = 790·x + 10620

Where

y = Salary

x = Age of surgeon.

Answer:

the answer for C is

use a larger sample of surgeons

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

Angle 8 is across from angle 5 meaning they have the same degrees.

Answer:

6x

Step-by-step explanation:

Product is multiplication.

2x × 3

Multiply.

2 × x × 3

= 6x

Answer:   [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]

Step-by-step explanation:

Notes: Coefficients condense to exponents.

           Subtraction condenses to division

[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]

Answer:

             x∈{-7√2, 7√2}

Step-by-step explanation:

[tex]98-x^2=0\\\\-x^2+98=0\\\\a=-1\,,\ \ b=0\,,\ \ c=98\\\\x_1=\dfrac{-0-\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{-\sqrt{4\cdot49\cdot2}}{-2}=\dfrac{-2\cdot7\sqrt{2}}{-2}=7\sqrt2\\\\x_2=\dfrac{-0+\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{2\cdot7\sqrt{2}}{-2}=-7\sqrt2[/tex]

Answer:

3

Step-by-step explanation:

9's factor is 1, 3, 9.

and 15's factor is 1, 3, 5, 15.

so, the answer is 3.

Answer:

x=0   x=3   x=-2

Step-by-step explanation:

p(x)= 3x^3 – 3x^2– 18x

Factor out the greatest common factor, 3x

p(x)= 3x (x^2 – x– 6)

Factor inside the parentheses

What 2 numbers multiplies to -6 and adds to -1

-3*2 = -6

-3+2 = -1

p(x)= 3x (x-3)(x+2)

Setting the function equal to zero to find the zeros

0 = 3x (x-3)(x+2)

Using the zero product property

3x = 0  x-3 =0   x+2 =0

x=0   x=3   x=-2

Answer:

x = -2, 0, 3.

Step-by-step explanation:

3x^3 – 3x^2– 18x = 0

First take out the GCF which is 3x:

3x(x^2 - x - 6) = 0

So one zero  is 0 ( because 3x = 0).

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = -2, 3.

Answer:

A. 2x + (-x + 2) = -1

Step-by-step explanation:

Well if we use x + y = 2 as the substitute we need to solve for y.

x + y = 2

-x to both sides

y = -x + 2

Substitute

2x + (-x + 2) = -1

Thus,

the answer is A. 2x + (-x + 2) = -1.

Hope this helps :)

Answer:

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

Answer:

X = 25

Step-by-step explanation:

Set up as a ratio:

Simplify ratio, multiply by 5, divide by 12

[tex]\frac{60}{144} = \frac{x}{60} \\\frac{5}{12}=\frac{x}{60} \\ 300 = 12x\\12x=300\\x=25[/tex]

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

x³ - 2x² - 11x + 12 = x³ - 13x - 12

Subtract x³ - 13x - 12 from both sides

- 2x² + 2x + 24 = 0 ← in standard form ( divide all terms by - 2 )

x² - x - 12 = 0

(x - 4)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 3 = 0 ⇒ x = 3

Answer:

c) 7x² + 16x +39

Step-by-step explanation:

g(x) = 6(x + 2)² + (x - 3)(x - 5)

g(x) = 6(x² + 2*2x + 2²) + (x² - 3x - 5x + 15) =

= 6x² + 24x + 24 + x² - 8x + 15 = 7x² + 16x + 39

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

Answer:

5*5*5=125

volume of cylinder=137.44

137.44+125=262.44

Step-by-step explanation:

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

Answer:

2/3 ≈ 0.666667

5/11 ≈ 0.454545

5/6 ≈ 0.833333

6/7 ≈ 0.857143

Step-by-step explanation:

Easiest and fastest way to do this is to use a calculator to find your decimals and then approximate.

Answer:

2/3 = 2 divided by 3 so 2 divided by 3 = 0.666667. We round up because it is a repeating decimal which goes on forever

5/11= 5 divided by 11 = 0.454545

5/6 = 5 divided by 6 =0.833333

6/7 = 6 divided by 7 = 0.857143

rounded up because it is an infinite decimal

Hope this helps

Step-by-step explanation:

Answer:

Quadrant IV

Step-by-step explanation:

An angle whose measure is _302° is in standard position the terminal side of the angle fall in Quadrant IV

Answer:

  [tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]

Step-by-step explanation:

The sides of an angle are rays. A ray is named by first naming its end point, then a point on the ray.

Here, the lower side is ray VU. The vertical side is ray VW.

If you have the symbols available, you can indicate the feature is a ray by putting a single-ended arrow over the name. The arrowhead is over the point that is not the vertex of the angle. Here, the sides of angle UVW are ...

  [tex]\overrightarrow{VU}\text{ and }\overrightarrow{VW}[/tex]

Answer:

B

Step-by-step explanation:

So perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of that segment (i.e., equal length).

Answer:

the answer is b

Step-by-step explanation:

Answer:

8/10

Step-by-step explanation:

There's ten numbers altogether and there are two numbers with the digit one, 1 and 10. 10-2=8

8/10

Answer:

D;

Step-by-step explanation:

In the Cartesian system and coordinates, we have the 2 dimensional plane and also the 3 dimensional plane.

The two dimensional plane is the more popular one within this level of education where we have one of the coordinates denoting the horizontal distance with the other coordinate denoting the vertical distance.

The one that denotes the horizontal distance is referred to as the x-coordinate with its plane called the x-axis while the one they represents the vertical distance is referred to the y-coordinate and its plane is called the y-axis

In the three dimensional space however, we have the third side which is the z part and it’s called the z-coordinate which is for the z axis

Answer:

d

ksoakcopcokopkcopkaopckopsa

apeeeeX

Answer:

78.5%

Step-by-step explanation:

Hope this helps ;) ❤❤❤

Answer:

x² + 13x + 30

Step-by-step explanation:

(x + 3) (x + 10)

Expand the brackets.

x(x + 10) + 3(x + 10)

x² + 10x + 3x + 30

Add like terms.

x² + 13x + 30

Answer:

=x²+13x+30 is the answer

Step-by-step explanation:

=(x+3)(x+10)

opening the brackets by multiplying

=x(x+10)+3(x+10)

=x²+10x+3x+30

=x²+13x+30

i hope this will help you :)

Answer:

Alfredo tenía 80 soles peruanos al inicio.

Step-by-step explanation:

La descripción del problema puede traducirse a las siguientes ecuaciones matemáticas:

Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando:

[tex]y = \left(1 - \frac{1}{3}\right)\cdot x[/tex]

[tex]z = \left(1 - \frac{2}{5}\right)\cdot y[/tex]

Donde:

[tex]x[/tex] - Monto inicial, medido en soles peruanos.

[tex]y[/tex], [tex]z[/tex] - Montos remanentes después de pérdidas, medidos en soles peruanos.

Se reduce el sistema de ecuaciones:

[tex]z = \left(1-\frac{2}{5}\right)\cdot \left(1-\frac{1}{3} \right)\cdot x[/tex]

[tex]z = \frac{2}{5}\cdot x[/tex]

Gana en forma consecutiva sus 3 últimos juegos:

[tex]u = \left(1+\frac{1}{2} \right)\cdot z[/tex]

[tex]v = \left(1 + \frac{1}{4} \right)\cdot u[/tex]

[tex]w = \left(1+\frac{1}{6} \right)\cdot v[/tex]

Donde:

[tex]z[/tex] - Monto inicial, medido en soles peruanos.

[tex]u[/tex], [tex]v[/tex], [tex]w[/tex] - Montos remanentes después de ganancias, medidos en soles peruanos. (Donde w es el monto final).

Se reduce el sistema de ecuaciones:

[tex]w = \left(1+\frac{1}{2} \right)\cdot \left(1+\frac{1}{4} \right)\cdot \left(1+\frac{1}{6} \right)\cdot z[/tex]

[tex]w = \frac{35}{16}\cdot z[/tex]

Si [tex]w = 70[/tex], el monto inicial es:

[tex]z = \frac{16}{35}\cdot w[/tex]

[tex]z = \frac{16}{35} \cdot (70)[/tex]

[tex]z = 32[/tex]

Ahora,

[tex]x = \frac{5}{2} \cdot z[/tex]

[tex]x = \frac{5}{2}\cdot (32)[/tex]

[tex]x = 80[/tex]

Alfredo tenía 80 soles peruanos al inicio.

Al inicio Alfredo tenía $80.

Dado que, luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva en sus 3 últimos juegos 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con $70, para determinar cuánto tenía al inicio se debe realizar el siguiente cálculo:

Por lo tanto, al inicio Alfredo tenía $80.

Aprende más acerca de determinación de cantidades en https://brainly.com/question/13806160

Answer:

586%

Step-by-step explanation:

5.86 times 100 to change to a percent

586 %

Answer:

A. 586%

Step-by-step explanation:

Multiply 5.86 by 100.

Drop the decimal.

Add the percent symbol.

Answer:

F x=1/2

Step-by-step explanation:

Answer:

f(10) = 38

Step-by-step explanation:

Notice that this sequence is given in recurrent form, so you need to know the previous term in order to calculate the following one. Then let's get into all the 10 terms needed:

f(1) = 2

f(2) = 2 + 4 = 6

f(3) = 6 + 4 = 10

f(4) = 10 + 4 = 14

f(5) = 14 + 4 = 18

f(6) = 18 + 4 = 22

f(7) = 22 + 4 = 26

f(8) = 26 + 4 = 30

f(9) = 30 + 4 = 34

f(10) = 34 + 4 = 38