Triangles
14. Find the value of x.

Answer:

$22,200 over all

Step-by-step explanation:

The compound interest after 20 years is $22700.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

For the given situation,

The principle, p = $10,000

Rate of interest, r = 6.1% = 0.061

Compounded continuously, n = 1

Number of years, T = 20

The amount formula of compound interest is

[tex]A=p(1+\frac{r}{n} )^{T}[/tex]

On substituting the above values,

⇒ [tex]A=10000(1+\frac{0.061}{1} )^{20}[/tex]

⇒ [tex]A=10000(1.061)^{20}[/tex]

⇒ [tex]A=32681.9[/tex] ≈ [tex]32682[/tex]

The compound interest can be calculated as

[tex]CI=A-P[/tex]

⇒ [tex]CI=32682-10000[/tex]

⇒ [tex]CI=22682[/tex] ≈ [tex]22700[/tex]

Hence we can conclude that the compound interest after 20 years is $22700.

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Answer:

1.84

Step-by-step explanation:

I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...

Answer:

nope u dont need to buy more

Step-by-step explanation:

u have 1/2 cup after spilling but the recipe only needs 1/3 which is less

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

Answer:

2x^2+7x+6

Step-by-step explanation:

Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.

2x^2+7x+6

(x+2)(2x+3)

First, multiply the variables (x).

(x)(2x) = 2x^2

Then, multiply the whole numbers (2, 3).

(2)(3) = 6

Now, you're not done. You need to multiply the variables and the whole numbers (that weren't already multiplied together)

(x)(3) = 3x

(2)(2x) = 4x

Finally, add them all together, and simplify.

2x^2 + 6 +3x + 4x

=

2x^2+7x+6

Answer:

4 1/7

Step-by-step explanation:

16 4/7 ÷ 4 = 4 1/7

Hope this helps!

Answer:

21 pounds

Step-by-step explanation:

bill is 140 pounds, plus 5 tax means the total amount to pay is (1.05x140)=147 pounds.

Amount per friend = 147/7 = 21 pounds per friend.

Answer:

21

Step-by-step explanation:

This is just a confirmation answer

Step-by-step explanation:

[tex] {x}^{2} - 6x - 16 = 0[/tex]

[tex] {x}^{2} - 6x = 16[/tex]

[tex] {x}^{2} - 6x + 9 = 16 + 9[/tex]

There two ways you can go this route.

Route 1

[tex](x - 3) {}^{2} = 25[/tex]

[tex](x - 3) {} = 5[/tex]

[tex]x = 8[/tex]

And

[tex]x - 3 = - 5[/tex]

[tex]x = - 2[/tex]

The roots are 8,-2

Answer:

x=-2,8

Step-by-step explanation:

x2 - 6x - 16 = 0

x²-8x+2x-16=0

x(x-8)+2(x-8)=0

(x-8)(x+2)=0

either

x=8

or

x=-2

Answer:

Step-by-step explanation:

A

Answer:

We see that SR is a diameter, therefore Δ SRT is right triangle with ∠STR = 90°

∠ROQ, ∠RST and ∠TRQ all intercept the same arc RT

∠ROQ is twice the ∠RST and ∠TRQ as the central angle:

PQ is tangent to circle, therefore:

Answer:

$36

Step-by-step explanation:

Use the simple interest formula, I = prt

Plug in the interest rate, original amount of money, and number of years:

I = prt

I = (150)(0.08)(3)

I = 36

So, $36 in interest would be made

Answer:

y = -7/2x +17

Step-by-step explanation:

First, lets put the original equation into slope intercept form which is y=mx+b

7x + 2y = -8

subtract 7x on both sides

2y = -7x -8

divide by 2 on both sides

y = -7/2x - 8/2

y = -7/2x - 4

now we can plus in any x and y values to get a new b, which is our y intercept.

lets use (4,3)

Also, since they are parallel, their slope (m) will be the same.

y = -7/2x + b

3 = -7/2(4) + b

3 = -14 + b

b = 17

lets plug in our new b into our original equation

y = -7/2x + 17

The value of [y] = 7 and that of [x] = 6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a equation that represents a line as -

7x + 2y = - 8

We can write -

7x + 2y = - 8

2y = - 7x - 8

y = (-7/2)x - 4

Options are not given, so the line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8

Therefore, line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8

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Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

Exact Form:

[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]

Decimal Form:

x=-0.5, -1.¯3

Hope this helps     :)

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

→ Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

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Answer:

[tex]26.68\ \text{feet}[/tex]

Step-by-step explanation:

a = 100 feet

[tex]\angle B=20^{\circ}[/tex]

[tex]\angle C=45^{\circ}[/tex]

[tex]\angle A=180-(20+45)=115^{\circ}[/tex]

From sine rule we have

[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]

[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]

The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.

Answer:

pi 50 x^4

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

The radius is 5x  and the height is 2x^2

V = pi (5x)^2 * 2x^2

V = pi ( 25x^2) (2x^2)

   = pi 50 x^4

Answer:

[tex]50\pi x^{5}[/tex]

Step-by-step explanation:

50π[tex]x^{5}[/tex]

Answer:

I need more info

Step-by-step explanation:

The value of b that goes with this value of a is 15.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

b = 4a - 5

The values of a and c are given in the table correspondingly.

When c is 21

The value of a = 5 and

The value of b = 4(5) -5 = 15

Hence, the value of b that goes with this value of a is 15.

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(The question given is incomplete, the complete question is given below.)

The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents C as a function of A.

when c is 21 what is the value of a what is the value of b that goes with this value of a

Answer:

30

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

The answer is 2011.4

Answer:

b

Step-by-step explanation:

-2xa ×-4xb=8xa+b

-2xa×-2x3=4xa+3

-2xa×5x=10xa+1

Answer:

im answering so u can give the other person brainlist your welcome

<3 answered your ? love

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

Answer:

Cuba, Venezuela, Colombia, Mexico

Answer:

54.97

Step-by-step explanation:

Answer:

x=-5,\:y=-2 sorry if I'm wrong  symbolab

Step-by-step explanation:

Answer:

384

Step-by-step explanation: i think all the base lengths are equivalent? if they arent then the answer is wrong but i used the measurements they gave us

Answer:

365 messages

Step-by-step explanation:

x = # text messages)

16.5 = 10 + .10(x - 300)

6.5 = .10x - 30

36.5 = .10x

x = 365

Answer:

365

300+65=365 text messages in total

365 text messages=$16.50

Step-by-step explanation:

6.50/0.10=65

Have a nice day!!

Step-by-step explanation:

Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)

So,

1. Probability of getting blue card is 1/12

2. Probability of getting a red card is 2/12=1/6

hope it helps