Find the area of the triangle in terms of x

It is computed that loan Q's finance charge will be $83.73 greater than loan P's.

From the information, the payment for bank P will be:

= (0.058/12)(19450) / [1 - (1 + 0.058/12)^108

= 231.59

The future value will be:

= 231.59 × 12 × 9

= 25011.72

The finance charge for P will be:

= (25011.72 - 19450) + 925

= 6846.72

The payment for Q is 211.08. The future value will be:

= 211.08 × 12 × 10

= 25329.60

The finance charge for Q will be:

= (25329.60 - 19450) + 690.85

= 6570.45.

The difference will now be:

= 6570.45 - 6846.72

= $83.73

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Answer:

A

Step-by-step explanation:

Got it right

Answer:

8 ft

Step-by-step explanation:

let width = x

then length= x+2

Area = l(w)

        =x(x+2)

168  = x^2 + 2x

x^2 + 2x-168=0

Using quadratic formula we get roots :

x= 12, x=-14

x= 12 (as width cannot be in negative)

then length= x+2 = 14

length of rug= length of floor - 4

                     = 14- 4

                    = 10

width of rug= width of floor- 4

                    = 12-4

                    = 8

Hence the length (the shorter side) of the rug be 8 feet !

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

[tex]4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}[/tex]

We use the formula of S and insert it into the other equation:

[tex]7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7[/tex]

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

[tex]4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17[/tex]

We know then that Shorts are $17 each.

Answer:

1)he maximum height your feet will be above the ground is 2.25

2)Will you be able to dunk the ball= No

Step-by-step explanation:

Given:

In order to dunk the basket ball, height needed to jump= 2.5 feet

The height that your feet need to be of the ground is given by the function h(t)= -16t^2+12t

1) the maximum height your feet will be above the ground=?

Given function of height,h(x)=-16t^2+12t

finding maximun of the above function

The maximum of any function written in form of ax^2+bx+c is given by

max= c - (b2 / 4a)

Putting values c=0, b=12 and a=16, we get

max= 0-(12^2/4(-16))

      = 144/64

      =2.25 feet

he maximum height your feet will be above the ground is 2.25 feet.

2)  Will you be able to dunk the ball=?

As the height needed to jump in the air to dunk the ball is 2.5 feet which is greater than the maximum height the feet will be above the ground i.e.

2.5>2.25

hence No you will not be able to dunk the ball !

The maximum height your feet will be above the ground is 2.25 feet. No, you will not be able to dunk the ball.

To find the maximum height your feet will be above the ground, we need to determine the vertex of the quadratic function h(t) = -16t^2 + 12t.

The vertex of a quadratic function of the form h(t) = at^2 + bt + c is given by the formula t = -b/2a. In this case, a = -16 and b = 12, so the vertex is t = -12/(2*(-16)) = 0.375 seconds.

Substituting this value back into the function h(t), we get h(0.375) = -16(0.375)^2 + 12(0.375) = 2.25 feet. Therefore, the maximum height your feet will be above the ground is 2.25 feet.

Since you need to jump 2.5 feet in the air to dunk the ball and the maximum height your feet will reach is only 2.25 feet, you will not be able to dunk the ball.

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Answer and explanation:

A) Yes, the sample gathered by surveying food critics only is most likely to be biased.

B) If the chef is going to survey only the food critics and not include the regular customers who visit the restaurant then this will result in a biased survey.

The reason being that there will exist a systematic error since the surveyed people will not cover the whole population as it will only be limited to the food critics.

Your problem looks like this

[tex]11\sqrt{45}  - 4\sqrt{5}[/tex]

To make this problem easier, we need to simplify these square roots

[tex]11\sqrt{45}[/tex]    can be simplified

Here's how :

The factors of 45 are 9 and 5

9 is a perfect square root, but 5 is not

Think of the problem like this

[tex]\sqrt{9}     ×     \sqrt{5}[/tex]

The square root of 9 is 3, but 5 has no perfect square root

Now [tex]11\sqrt{45}[/tex] is simplified to [tex]33\sqrt{5}[/tex]

Now let's solve the problem, because we have a common square root of 5

[tex]33\sqrt{5}[/tex] - 4\sqrt{5}[/tex]

Our final answer is

[tex]29\sqrt{5}[/tex]

Feel free to ask questions if you are confused! Hope I helped :)

For this case we must simplify the following expression:

[tex]11 \sqrt {45} -4 \sqrt {5}[/tex]

So, we rewrite 45 as [tex]3 ^ 2 * 5[/tex]:

[tex]11 \sqrt {3 ^ 2 * 5} -4 \sqrt {5} =[/tex]

We have by definition of properties of powers and roots that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So:

[tex]11 * 3 \sqrt {5} -4 \sqrt {5} =\\33 \sqrt {5} -4 \sqrt {5} =\\29 \sqrt {5}[/tex]

Answer:

[tex]29 \sqrt {5}[/tex]

Answer:

q(x)= 2x+5

r(x)= 6

Step-by-step explanation:

Given:

2x^2+13x+26 /x+4

Re-writing in the form of q(x) + r(x)/d(x)

Let

Polynomial P(x)= 2x^2+13x+26

Polynomial d(x)= x+4

Using remainder theorem, putting -4 in P(x) to find r(x)

P(-4)= 2(-4)^2+13(-4)+26

       =6

i.e r(x)= 6

Finding q(x) by long division

q(x)= 2x+5

Hence given expression in the form q(x) + r(x)/d(x)

= (2x+5) + 6/x+4 !

Answer:

The correct answer is for sure 100 % =33,490

Step-by-step explanation:

34,100-610= 33,490

610+33,490=34,100

PLLZZZZ MARK ME BRAINLIST PLZZZZ!!!

Hello There! Your answer is D) about 54%.

To find your answer, start by adding together all of the totals for each gender.

Female: 119 + 150 + 447 + 735 + 1174 = 2625

Male: 103 + 171 + 512 + 710 + 756 = 2252

Total: 2625 + 2252 = 4877

The question is asking what percentage of the respondents was female. So, we are finding what precent of 4877 is equal to 2625. To do this, divide 2625 by 4877 and multiply what you get by 100.

2625 divided by 4877 =  0.53824072175 x 100 = 53.824072175%.

Out of the answer choices provided, D) about 54% is correct since 53.824072175% is very close to 54%.

I hope this helps, have a great day!

Answer:

D

Step-by-step explanation:

In total, there were 4877 respondents, among which 2625 of them were female. The percent of female respondents, therefore, would be

2625

4877

x 100 = 53.8% ~ 54%

Answer:15.741

Step-by-step explanation: 4.95*3= 14.85, 14.85* 0.06= 0.891+14.85=15.741

Hope it helped!

Answer:

x verse y on the map

Step-by-step explanation:

It shows what the x and the y cordinates are

Answer:

[tex]P = 0.25[/tex]

Step-by-step explanation:

The simulation shows a result composed of 20 data.

If January represents month 1 and February represents month 2 then September is represented by number 9.

According to this simulation, the probability of a randomly selected student having birthdays in September is:

[tex]P = \frac{X_9}{20}[/tex]

Where [tex]X_9[/tex] is the frequency of 9. That is, [tex]X_9[/tex] is the number of times the number 9 appears among the 20 data

Therefore:

[tex]P = \frac{5}{20}[/tex]

[tex]P = \frac{1}{4}[/tex]

[tex]P = 0.25[/tex]

Answer:

0.25

Step-by-step explanation:

gradpoint

For this case we must find the value of "x", by trigonometric relations.

The tangent of an angle is given by the leg opposite the angle on the leg adjacent to the same angle.

[tex]tg (25) = \frac {10} {x}\\x = \frac {10} {tg (25)}\\x = \frac {10} {0.46630766}\\x = 21.4450691202[/tex]

Rounding:

[tex]x = 21.4[/tex]

Answer:

21.4

Answer:

x = 21.44506921

Step-by-step explanation:

Trigonometry

We need to find x or the adjacent

We are given the Opposite ( 10 )

We don't need the hypotenuse

So we use our formula triangles

TOA             SOH                  CAH

Since we don't need the hypotenuse, we look for a formula without ' H ' in it and it is TOA so we use it

Tan = Opposite ÷ Adjacent

We need to find the adjacent so we rearrange the formula into

Adjacent = Opposite ÷ Tan

Adjacent = 10 ÷ tan(25)

Adjacent = 21.44506921

The simplified form of the given polynomial equation is:

                  [tex]-2x^2-x+7[/tex]

We are asked to simplify the given polynomial expression in terms of the variable x.

The algebraic expression is given as:

[tex](-9x^2+2x+13)-(-7x^2+3x+6)[/tex]

On taking out the terms from both the brackets the sign of the terms of the second bracket gets interchanged as there is a negative sign preceding it.

Hence, we get the expression as:

           [tex]=-9x^2+2x+13+7x^2-3x-6\\[/tex]

Now on combining the like terms we get:

       [tex]=-9x^2+7x^2+2x-3x+13-6\\\\\\=-2x^2-x+7[/tex]

Answer:

E,F and G

Step-by-step explanation:

we have

2x+y < 10 ---> inequality A

The solution of the inequality A is the shaded area below the dashed line

2x+y=10

Find the intercepts of the dashed line to plot the inequality A in the graph

The x-intercept is the point (5,0)

The y-intercept is the point (0,10)

2x-4y >8 ----> inequality B  

The solution of the inequality B is the shaded area below the dashed line 2x-4y=8

Find the intercepts of the dashed line to plot the inequality B in the graph

The x-intercept is the point (4,0)

The y-intercept is the point (0,-2)

The solution of the system of inequalities the shaded area

see the attached figure

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution of the system

In this problem the solutions are E,F and G

To find out how many weeks Tameca needs to save to have at least $100, we create an inequality, 5w + 55 >= 100, where 'w' represents the number of weeks. Solving this inequality gives w >= 9. Therefore, Tameca needs to save for at least 9 weeks.

The subject of this problem is linear inequalities, which falls under Mathematics. To solve this problem, let's denote the number of weeks that Tameca needs to save money as 'w'. Since she already has $55 and is saving $5 each week, the inequality that represents this situation is 55 + 5w >= 100.

In order to solve this inequality, we need to isolate 'w'. You can do this by subtracting 55 from both sides of the inequality to get 5w >= 45. Then, divide both sides by 5 to get w >= 9.

Therefore, Tameca must save for at least 9 weeks in order to have a minimum of $100 in her savings account.

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Answer:

Approximately 53

Step-by-step explanation:

This is a geometric progression, because each term is found by multiplying the previous one by a constant factor.

In our case, the first term is know (a1 = 3), and the growth factor is also known (q = 1.333333).

What we are tasked to do is to find the 11th (n=11) term of the series, since it asks for AFTER the 10th roll..  That's easy with the base formula:

[tex]a_{n} = a_{1} q^{n-1}[/tex]

Let's place the values we have in the equation and solve it:

[tex]a_{10} = 3 * (1.333333)^{11-1} = 3 * (17.758) = 53.3[/tex]

So, after the 10th roll, you should need 53 dice, approximately.

1. 3^4 x^3 z^2

2. 73 aabbbb

Answer:

Step-by-step explanation:

[tex]5m=35\qquad\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup^1m}{5\!\!\!\!\diagup_1}=\dfrac{35\!\!\!\!\!\diagup^7}{5\!\!\!\!\diagup_1}\\\\\boxed{m=7}[/tex]

The formula for the area of a rhombus is s^2=A.  Plug in and solve:

s^2=25

*Take the square root of both sides*

s=5

Hope this helps!!

Answer:

The side length is 5 mm

Step-by-step explanation:

Since it is square, we know the area of a square is given by

A = s^2 where s is the side length of the square

25 = s^2

Take the square root of each side

sqrt (25) = sqrt(s^2)

5 = s

The side length is 5 mm

Answer:

Final answer is [tex]2y^4 \sqrt{5}[/tex].

Step-by-step explanation:

Given expression is [tex]\sqrt{20y^8}[/tex].

Now we need to smplify the given expression [tex]\sqrt{20y^8}[/tex].

So begin with factoring 20 into two parts so that one part is perfect square number.

[tex]\sqrt{20y^8}[/tex]

[tex]=\sqrt{4 \times 5y^8}[/tex]

[tex]=\sqrt{4 y^8} \times \sqrt{5}[/tex]

[tex]=2y^4 \times \sqrt{5}[/tex]

Hence final answer is [tex]2y^4 \sqrt{5}[/tex].

Answer:

Step-by-step explanation:

f(x) + n - move the graph n units up

f(x) - n - move the graph n units down

f(x + n) - move the graph n units to the left

f(x - n) - move the graph n units to the right

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

G(x) = 1/x shifted 4 units up → G(x) + 4 = 1/x + 4

Answer: G(x)= 1/(x+4) +4

Step-by-step explanation:

You just need to factor a to get

[tex]a(1+2+3+4) = 10a[/tex]

Answer:

x = 8 , x = - 2.5

Step-by-step explanation:

( x - 8 ) ( 2 x + 5 ) = 0

1. x - 8 = 0

2. 2 x + 5 = 0

x - 8 = 0

( + 8 on both sides )

x = 8

2. 2 x + 5 = 0

( - 5 from both sides )

2 x = - 5

( ÷ 5 on both sides )

x = - 2.5

P(x) to P(x+2), you need to graph the same but shift 2 units to the left.

New function :

Max = 4 ,coordinate points (-5, 0) and (5,0)

part a: 1

part b: (3,5)

To find the mean just add all of them then divide the result by 8. To find the median put the numbers in order. So 3, 3, 4, 4, 13, 15, 15, 16 then find the middle number, if there is not middle number (which there isn’t) add the two middle numbers (4 and 13) to get 17 then divide 17 by 2 to get 8.5 which is the median

Answer: Last option

inverse property

Step-by-step explanation:

The property of the inverse sum says that if we have a number b and we add it with its negative -b then

[tex]b - b = 0[/tex]

In this case we have that:

[tex]x = a + bi[/tex]

and

[tex]y = -b - bi[/tex]

Note that

[tex]y = -x[/tex]

Therefore:

[tex]x + y = x -x= a + bi - a - bi = 0[/tex]

the answer is the last option

The answer is X= 2a+2

Answer:

a = 1/2x - 1

Step-by-step explanation:

-8a + 3a = -9a + 2x - 4

-8a + 3a + 9a = 2x - 4

4a = 2x - 4

a = (2x - 4) ÷ 4

a = 1/2x - 1

Answer:

The surface area is [tex]SA=3.596\ m^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the box is equal to

[tex]SA=2[LW]+2(L+W)H[/tex]

Let

[tex]L=1/4=0.25\ m[/tex]

[tex]W=0.36\ m[/tex]

[tex]H=2.8\ m[/tex]

substitute the values

[tex]SA=2[0.25*0.36]+2(0.25+0.36)(2.8)[/tex]

[tex]SA=0.18+3.416[/tex]

[tex]SA=3.596\ m^{2}[/tex]