A number is equal to three times a smaller number also the sum of the smaller number and four is the larger number the situation is right on the corner playing below where X represents the smaller number and why represents the larger number

Answer:

The right answer is:

(a) [tex]P(t) = P_o \ e^{0.03536t}[/tex]

(b) [tex]t = 14 \ years \ 6 \ months[/tex]

(c) [tex]P(t) = =621,595.6[/tex] ($)

Step-by-step explanation:

Given:

House price increment rate,

= 3.6% annually

(a)

Let the exponential equation will be:

⇒ [tex]P(t) = P_o e^{Kt}[/tex]

here,

t = 0

P = P₀

t = 1 yr

then,

[tex]P(1) = P_o +3.6 \ persent \ P_o[/tex]

        [tex]=1.036 \ P_o[/tex]

now,

⇒ [tex]1.036 P_o = P_o \ e^{K.1}[/tex]

 [tex]ln(1.036) = K[/tex]

            [tex]K = 0.03536[/tex]

Thus, the exponential equation will be "[tex]P(t) = P_o \ e^{0.03536t}[/tex]".

(b)

We know,

[tex]P_o = 600,000[/tex] ($)

[tex]P(t) = 10,00,000[/tex] ($)

∵ [tex]P(t) = P_o \ e^{0.03536t}[/tex]

   [tex]1000000=600000 \ e^{0.03536 t}[/tex]

              [tex]\frac{5}{3}= e^{0.03536 t}[/tex]

        [tex]ln(\frac{5}{3} )=0.03536 t[/tex]

       [tex]\frac{\frac{0.5}{0825} }{0.03536} =t[/tex]

                [tex]t = 14.45 \ years[/tex]

or,

                [tex]t = 14 \ years \ 6 \ months[/tex]

(c)

[tex]P_o=600,000[/tex] ($)

[tex]t = 1 year[/tex]

Now,

⇒ [tex]P(t) = P_o \ e^{0.03536 t}[/tex]

           [tex]=600000 \ e^{ 0.03536\times 1}[/tex]

           [tex]=621,595.6[/tex] ($)

Answer:

12 miles/hour

Step-by-step explanation:

8am to 9pm = 13 hours

in that time we were driving 179-23 = 156 miles.

so, our speed was 156 miles / 13 hours.

now simplify it to our standard miles/hour format :

156/13 = 12

therefore, or standardized speed was

12 miles/hour

Answer:

The answers are option B and E.

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

Answer:

16/20

Step-by-step explanation:

Since this is a right triangle

sin theta = opp side / hypotenuse

sin theta = 16/20

Answer:

A.

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]

A) With 8 council members, the polygon formed with the triangles will be an octagon.

The final shape should look just like the one you posted with your question.

B) The individual pieces should be isosceles triangles. The three angles of each triangle should measure 45°, 67.5° and 67.5°.

We need two sides of the triangles to be the same. The base of the triangle's length will depend on the number of triangles we are using to form the final polygon.

The number of triangles will define the angle between the two sides of equal length. You can find this by dividing 360° into the number of triangles:

[tex]\frac{360^{o}}{8}=45^{o}[/tex]

The other two angles should measure the same, so we can find them by subtracting the 45° from 180° (which is what we get when adding the three angles of any triangle) and then dividing the answer into 2.

180°-45°=135°

[tex]\frac{135^{o}}{2}=67.5^{o}[/tex]

C) The sum of the measures of the internal angles of the final shape should add up to 360°, that way we can guarantee that the figure is closed:

45°+45°+45°+45°+45°+45°+45°+45°=360°

D)

D.B) The individual pieces should be isosceles triangles. The three angles of each triangle should measure 36°, 72° and 72°.

The number of triangles will define the angle between the two sides of equal length. You can find this by dividing 360° into the number of triangles:

[tex]\frac{360^{o}}{10}=36^{o}[/tex]

The other two angles should measure the same, so we can find them by subtracting the 36° from 180° (which is what we get when adding the three angles of any triangle) and then dividing the answer into 2.

180°-36°=144°

[tex]\frac{144^{o}}{2}=72^{o}[/tex]

C) The sum of the measures of the internal angles of the final shape should add up to 360°, that way we can guarantee that the figure is closed:

36°+36°+36°+36°+36°+36°+36°+36°+36°+36°=360°

You can find further information on the following links:

https://brainly.ph/question/6658482

Answer:

24x^4

Step-by-step explanation:

((2x²) (3x) (4x)

Add the exponents when multiplying

2*3*4 x^(2+1+1)

24x^4

it's true because it gives interset or compensation amount to the individuals or organizations which motivates people to save their money in a saving account

Answer:

C

Step-by-step explanation:

Answer:

k ≥ 4

Step-by-step explanation:

A Quadratic equation is given to us and we need to find out the value of k for which the equation has real roots. The given equation is ,

[tex]\rm\implies kx^2 +4x +1=0[/tex]

With respect to Standard form of Quadratic equation :-

[tex]\rm\implies ax^+bx+c=0[/tex]

For real roots ,

[tex]\rm\implies Discriminant = b^2-4ac\geq 0[/tex]

Substitute the respective values ,

[tex]\rm\implies b^2-4ac \geq 0\\[/tex]

[tex]\rm\implies 4^2 - 4(k)(1) \geq 0 \\[/tex]

Simplify the LHS ,

[tex]\rm\implies 16 - 4k \geq 0 \\[/tex]

Add 4k both sides ,

[tex]\rm\implies 4k\geq 16 [/tex]

Divide both sides by 4 ,

[tex]\rm\implies \boxed{\blue{\rm k \geq 4}}[/tex]

Answer:

Yes

Step-by-step explanation:

The roof is Rectangular :

Dimension of roof section : 7.2 m by 4.4 m

Area of roof = length * width

Area of roof = 7.2 * 4.4 = 31.68 m²

Dimension of solar panels = 1400 mm by 850 mm

Converting to m:

1000mm = 1 m

1400/1000 by 850/1000 = 1.4 m by 0.85 m

Area each solar panel = 1.4 * 0.85 = 1.19 m²

Gap left at each edge :

30cm gap about the 4 edges gives a square with side length 30cm:

30cm = 30/100 = 0.3m

Area of gap left = 0.3² = 0.09 m²

Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²

Maximum number of panels that can be placed on roof section :

Total area that can be covered / area of panel

31.59 m² / 1.19 m²

= 26.54 panels

Answer:

108 degrees

Step-by-step explanation:

an arithmetic progression means that there is a constant inbetween all of the angles. Since the smallest angle is 12 degrees, ( i just guessed and checked) and came up with the angles :

12, 60, 108

these have a constant of 48

Answer:

108°

Step-by-step explanation:

Since the angles are in arithmetic progression , then the angles are

a + a + d + a + 2d

a is the first term and d the common difference

Sum the angles and equate to 180 with a = 12

a + a + d + a + 2d = 180

12 + 12 + d + 12 + 2d = 180 , that is

36 + 3d = 180 ( subtract 36 from both sides )

3d = 144 ( divide both sides by 3 )

d = 48

Then the largest angle is

a + 2d = 12 + 2(48) = 12 + 96 = 108°

Answer:

true, to my knowledge concentric circles are just circles that all have one main center.

Step-by-step explanation:

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (0-9)^2 + (0-12)^2)

   = sqrt ( 81+144)

  = sqrt(225)

  = 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

Answer:

Equation of line:- y=2x-7

slope(m)=2

slope of parallel line (m)=2

∴ Equation of parallel line:- y=2x+b

it passes through the point (-3,6)

6=2(-3)+b   6+6=b

b=12

∴ y=2x+12

OAmalOHopeO

Answer:d

Step-by-step explanation:

Answer:

D

explanation:

i got it right on the test

Answer:

Yeah

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

Answer:

{ 1,3,4,6,7}

Step-by-step explanation:

Do B∩C first

This is B intersect C which  means what they have in common

B∩C = {3,6,7}

Then A∪(B∩C)

A union   {3,6,7} which means join together ( combine with no duplicates) the two sets

{ 1,3,4,6,7}

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is [tex]\dfrac{6}{5}[/tex] not equivalent to [tex]\dfrac{3}{2}[/tex].

Solution:

If a, b, c are real numbers, then

[tex]\dfrac{a}{b}=\dfrac{a\times c}{b\times c}[/tex]

The given fraction is [tex]\dfrac{3}{2}[/tex]. It can be written as:

[tex]\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}[/tex]

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be [tex]\dfrac{6}{4}[/tex], not [tex]\dfrac{6}{5}[/tex].

Therefore, the correct option is A.

Answer:

350.85

Step-by-step explanation:

90.6*2 = 181.2

27*2 = 54 (diameter)

54*pi = 169.646003294

169.646003294 + 181.2 = 350.846003294

350.846003294 = 350.85

Answer:

hope it was helpful!! You are welcome to ask any question

Answer:

Step-by-step explanation:

1) 7 - ( 3+4) = 7 + [- (3+ 4)] =  7 + (-3) + (-4)    

(-) is distributed to 3 and 4

A

2) C

I (-3) -  4 I

3) 5 + 3 = 8 miles

B

Answer:

hope it helps

Step-by-step explanation:

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2    slope of line

y = m x + b standard form of straight line

y = 2 x + b      where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4    from our first equation

Also, b = 10 - 6 = 4       check from second equation

y = 2 x + 4    is our equation

Check if y = 6 and x = 1 then

y = 2 * 1  + 4 = 6   verifying the first point given

Answer:

The "!" represents a factorial

Step-by-step explanation:

In math, a factorial when there is an ! followed by a number.

For example, 5! = 5 factorial.

To solve factorials, multiply every integer below the number before the factorial, including the number.

5! = 5 x 4 x 3 x 2 x 1 = 120.

Answer:

It's C. 1

Step-by-step explanation:

Use slope intercept form.

Answer:

missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Answer:

-36,36

Step-by-step explanation:

3x - 6(5x + 3) = 9x + 6

 Distribute:

3x - 30x - 18 = 9x + 6

Combine like terms:

-27x - 18 = 9x + 6

There are two possible ways to isolate x

On the left

Subtract 9x from each side

-27x - 18 -9x = 9x-9x + 6

-36x -18 = 6

On the right

Add 27x from each side

-27x - 18 +27x = 9x+27x + 6

-18 =36x+ 6