please help need asap

9514 1404 393

Answer:

  (a)  $133.88

Step-by-step explanation:

The addition of tax multiplies the purchase price by 1+6.45% = 1.0645. The payment of the down payment means the loan amount will be only 1-10% = 0.90 times the amount with tax. So, the loan amount is ...

  $22,359(1.0645)(0.90) = $21,420.08

The loan is a secured loan (secured by the vehicle). So, the interest charged is that for a poor credit rating: 7.5%.

One month's interest is ...

  I = Prt . . . . . interest on principal P at rate r for t years (1 mo = 1/12 yr)

  I = $21,420.08(0.075)(1/12) = $133.88

Step-by-step explanation:

let's do this in 2 steps :

1. go for 1×10⁴ math problems

2. multiply that result by 5 to fully cover 5×10⁴

1.

3.5×10^-5 × 1×10⁴ = 3.5×10^-1

2.

5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰

so, the computer needs 1.65×10⁰ or simply 1.65 seconds.

Answer:

(3, -7/2)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinate of the endpoints

(-4+10)/2 = 6/2 =3

To find the y coordinate of the midpoint, average the y coordinate of the endpoints

(-5+-2)/2 =-7/2

(3, -7/2)

Answer:

-1/4 , -1

Step-by-step explanation:

I solved it using Factorization method and Quadratic Equation .

Factorization Method

\(4x^2+5x+1=0\\Write +5x- as- a -difference(write+5x-using- two- numbers -in-which-their-sum-is ; 5-and-their-product-is ; 4)\\4x^{2} +4x+1x+1=0\\Factorize-out-common-terms\\4x(x+1)+1(x+1)=0\\Factor-out-(x+1)\\(4x+1)(x+1)=0\\4x+1 =0 \\x+1=0\\4x=0-1\\x =0-1\\4x =-1\\x =-1\\4x=-\frac{1}{4} \\\\Answer = -1/4 , -1\)

Quadratic Equation

\(4x^2+5x+1=0\\a = 4\\b =5\\c = 1\\\\x =\frac{-b\±\sqrt{b^2 -4ac} }{2a} \\\\x = \frac{-(5)\±\sqrt{(5)^2-4(4)(1)} }{2(4)} \\\\x = \frac{-5\±\sqrt{25-16} }{8} \\\\x = \frac{-5\±\sqrt{9} }{8} \\\\x = \frac{-5\±3}{8} \\\\x =\frac{-5+3}{8} \\\\x = \frac{-5-3}{8} \\\\x = \frac{-2}{8} \\\\x = \frac{-8}{8} \\\\x = -\frac{1}{4} \\x=-1\)

answer:

it is not proportional.

step-by-step explanation:

14-10.50=3.5

17.50-14=3.5

24.50-17.50=7

in order for it to be proportional, they would all have to equal the same number and since in this case, they don't it is non-proportional

hopefully, this helps :)

have a nice day !!

i'm extremely sorry i couldn't help sooner :(

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=\stackrel{hypotenuse}{12}\\ a=adjacent\\ b=\stackrel{opposite}{9}\\ \end{cases} \\\\\\ \sqrt{12^2 - 9^2}=a\implies \sqrt{144 - 81}=a\implies \sqrt{63}=a\)

For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

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Answer:

2.14 x 14.5 = $31.03

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Step-by-step explanation:

what u want to explain ?

Answer:

the correct answer is 197 in^2

Answer:

b. Normal data is never one of the inference assumptions.

Step-by-step explanation:

A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.

So, there are two propositions in statistical inference for categorical data

1. That each data in a cell is independent of the others.

2. That samples are randomly drawn.

Thus, there is no room for normality.

She can recover R 90 from insurance.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The retail value for the car is R200,000.

The excess on the policy is R4500.

So, the Excess ratio = 4500 / 200000

                                 = 2.25%

So, she can recover = 4000 x 2.25

                                 = 90

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Answer:

Step-by-step explanation:

1) D

2) B

3) no solution

y ≤ 0.5x - 4 is area C including the red line

y ≥ 0.5x + 5 is area A including the blue line

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

Option 2: A=1, B=3, C=4

Step-by-step explanation:

Check the picture below.

well, we know the triangle is an isosceles, so it has twin sides coming from the "vertex" down to the "base", running an angle bisector from the "vertex" will give us a perpendicular to the "base", let's find its height.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=\stackrel{opposite}{h}\\ \end{cases} \\\\\\ \sqrt{13^2 - 5^2}=h\implies 12=h\)

so we simply need to get the area of a triangle whose base is 10 and height is 12.

\(A=\cfrac{1}{2}(\underset{b}{10})(\underset{h}{12})\implies \boxed{A=60}\)

Answer:

\(y=-2x+6\)

So, the slope is -2.

Step-by-step explanation:

Solve the literal equation for y and use the slope value formed.

\(10x+5y=30\\5y=-10x+30\\\frac{5y}{5}=\frac{-10}{5}x+\frac{30}{5}\\y=-2x+6\)

So, according to \(y=mx+b\), the slope is -2 where m is the slope.

Answer:

i swear your going to give a head ack i told you the answer

Step-by-step explanation:

Answer:

1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.

Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:

D(t) = 80km/h*t

where t is time in hours.

This will be a linear function.

2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.

Then the first month, the population is 100.

The second month the population increased by a 2%, then it will be:

100 + 100*0.02 = 100*(1.02)

The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.

and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:

P(m) = 100*(1.02)^(m - 1)

3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)

The month number zero (before you started saving) you had $100 saved.

S(0) = $100.

One month after, you have saved $80 more, then you have:

S(1) = $100 + $80

Another month after, you have:

S(2) = $100 + $80 + $80 = $100 + 2*$80

And so on, you already can see the pattern, after m months, you will have:

S(m) = $100 + m*$80 saved.

IM WRONG NVM ..........

Answer:

yes

Step-by-step explanation:

bcuz

Answer:

Subtract the circle from the square

Step-by-step explanation:

(10× 10) - 25pi

9514 1404 393

Answer:

  (x -1/4)(x -1)(x +1)

Step-by-step explanation:

Pairs of coefficients have the same ratio, so it is likely that you can factor this by grouping pairs of terms.

  x³ -x -1/4x² +1/4 = (x³ -x) -(1/4x² -1/4) . . . . . . note the signs

  = x(x² -1) -1/4(x² -1)

  = (x -1/4)(x² -1)

The difference of squares (x² -1) is a special form that has factors (x -1)(x +1)

Your factoring is ...

  (x -1/4)(x -1)(x +1)

_____

Additional comment

The difference of squares factors like this:

  a² -b² = (a -b)(a +b)

Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

4, 5 and 40 are the values of a, b and p respectively.

Quadratic equations are equations that has a leading degree of 2. Given the expression below:

(ax +b)² = 16x² + px + 25

Expand the left hand side of the expression.

(ax +b)² = 16x² + px + 25

a²x²+2axb+b² = 16x² + px + 25

Compare the terms of the expression:

a²x² = 16x²

a² = 16

a = 4

b² = 25

b = 5

Similarly;

2axb = px

2ab = p

p = 2(4)(5)

p = 40

Hence the value of a, b and p from the expression are 4, 5 and 40 respectively.

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Answer:

918,14

Step-by-step explanation:

3,494.04

679.65

= 918,14

Answer:  B. 142°.

Step-by-step explanation:

Given: OP is an angle bisector of ∠QOR and ∠QOP = 71°.

We know that an angle bisector divides an angle into two equal parts.

So, if OP is an angle bisector of ∠QOR and ∠QOP = 71°.

Then, the angle measure of ∠QOR = Twice of ∠QOP

⇒ Angle measure of ∠QOR = 2 (71°)

⇒ Angle measure of ∠QOR = 142°

Hence, correct option is B. 142°.

Answer:

Below in bold.

Step-by-step explanation:

A = value of y when x = -1:

A = -2(-1)^2 + 4(-1) + 9

   = -2*1 - 4 + 9

   = -2 - 4 + 9

   = 3.

B = value of y when x = 2:

B = -2(2)^2 + 4(2) + 9

   = -2*4 + 8 + 9

   = - 8 + 8 + 9

    = 9.

Answer:

The value is  \(P(O) = 0.3481\)

Step-by-step explanation:

From the question we are told that  

   The  proportion of people that own a dog is \(p = 0.59\)

Generally the probability of the two selected people owning a dog is mathematically evaluated as

      \(P(O) = p^2\)

      \(P(O) = (0.59 )^2\)

      \(P(O) = 0.3481\)

Answer:

\(\huge\boxed{\sf No}\)

Step-by-step explanation:

These triangles are not similar because their angles are not equal.

Conditions for two or more triangles to be similar:

1) Their angles are congruent or equal.

2) Their sides are proportional.

\(\rule[225]{225}{2}\)

Hope this helped!

The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³

From the question, we have the following parameters that can be used in our computation:

A radical expression

The radical expression is given as

\sqrt[3]{135^{a13}}

Represent the expression properly

So, we have the following representation

∛135a¹³

Apply the exponent rule of indices

This gives

∛135a¹³ = (135a¹³)¹/³

135 and a¹³ are not perfect cube root expressions

This means that the expression cannot be further simplified

Hence, the solution is (135a¹³)¹/³

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Answer:

11(x+3) is correct answer. Please Mark it as brainlist answer.

Step-by-step explanation:

let's say the unknown number be x

Simplify it:

11(x+3)