$500(1+0.045)^2 -$500(1+0.04)^3

Answer:

=7

Step-by-step explanation:

use Pythagorean.

7,24 ,25

Answer:

x=7

Step-by-step explanation:

we use physagorian law

b²+x²=a²

x²=a²-b²

25²-24²=x²

x²=49

x=7

Answer:

x=-4.73 and -1.26

Step-by-step explanation:

We need to solve the given equation for x.

[tex](x + 3)^2 - 3 =0[/tex]

Solving the above equation using formula (a+b)² =a²+2ab+b²

[tex](x + 3)^2 - 3 =0\\\\x^2+9+6x-3=0\\\\x^2+6x+6=0[/tex]

It is a quadratic equation.

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

We have, a = 1, b = 6 and c = 6

[tex]x=\dfrac{-6\pm \sqrt{(6)^2-4\times 1\times 6} }{2\times 1}\\\\x=\dfrac{-6+\sqrt{(6)^{2}-4\times1\times6}}{2\times1},\dfrac{-6-\sqrt{(6)^{2}-4\times1\times6}}{2\times1}\\\\x=-1.267, -4.73[/tex]

So, the values of x are -4.73 and -1.26

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

Answer:

14.5

Step-by-step explanation:

⇒4[tex]\frac{1}{2}[/tex] + 2[tex]\frac{3}{4}[/tex] + 1.5 + 2.25 + 2 + 2[tex]\frac{1}{2}[/tex]

⇒ 4.5 + 2.75 + 1.5 + 2.25 + 2 + 2.5

⇒ 14.5

Hope this helps!!!

Answer:

[tex]\frac{4}{663}[/tex]

Step-by-step explanation:

A standard deck without jokers is 52 cards. Selecting a Jack would have a [tex]\frac{1}{13}[/tex] chance.

Then to select a 4 without replacing the Jack you took, you would have a [tex]\frac{4}{51}[/tex] chance.

[tex]\frac{1}{13}*\frac{4}{51}=\frac{4}{663}[/tex]

Answer:

1/169.

Step-by-step explanation:

Prob( a jack) = 4/52 = 1/13

Prob( a 4) = 4/52 = 1/13

Required probability = 1/13 * 1/13

= 1/169.

Answer:

2.2

Step-by-step explanation:

4% of 54.99 = 0.04*54.99

Answer:

the answer to this is option 4.

Answer:

4, x = -17

Step-by-step explanation:

Answer:

They are all even

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Well to find BC, you have to know B and C

B = (-4, 4)

C = (-4, -1)

The distance is:

√(4 + 1)^2 + (-4 + 4)^2

√25

5

Answer:

5 units

Step-by-step explanation:

What you know about rollin' down in the deep?

When your brain goes numb, you can call that mental freeze

When these people talk too much, put that poop in slow motion, yeah

I feel like an astronaut in the ocean, ayy

:

-by-step explanation:

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

[tex]E = 1012.50, t = 15, I = 0.045[/tex]

We have to find P. So

[tex]E = P*I*t[/tex]

[tex]1012.50 = P*15*0.045[/tex]

[tex]P = \frac{1012.50}{15*0.045}[/tex]

[tex]P = 1500[/tex]

Javier's parents set aside $1500 when he was born

Answer:

Option C is correct.

The number of students who attend the school is approximately 980.

Step-by-step explanation:

The complete question is presented in the attached image to this question

It is known that 240 students bought concert tickets. That is, 240 students are attending the concert.

But out of a randomly chosen 49 students, 12 say that they are going for the concert.

Using the sample for a prediction or an approximation, the proportion of total number of students going for the concert = (12/49) = 0.245

Let x be the total number of students that attend the school.

This translates to the fact that

(0.245 × x) = 240

x = (240/0.245)

x = 979.6 = 980 to the nearest whole number.

Hope this Helps!!!

Answer: 613 students.

Step-by-step explanation:

Your question does not include the number of tickets sold as that will enable us to find out the number of students.

For that reason I will assume a number and you will then get a reference on how to solve this question.

Let us assume that 150 tickets were sold.

Now if 12 students out of a sample of 49 said they were going to attend and 150 tickets were sold, that means 150 tickets is the number of students that went from the general population.

This means that 12/49 should give us the same as 150/x with x being the total population of the school.

Solving for x,

12/49 = 150/x

12x = 150 * 49

12x = 7,350

x = 7,350 / 12

x = 612.5

x = 613 students.

25

Vertical angles are congruent/equal :

Answer:

25°

Step-by-step explanation:

Because its equal to the angle across it.

Answer:

36 student gets the equal amount of Clay by Mrs p

So the right answer is 2.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

Step-by-step explanation:

Let x represent the cost of the video game before tax.

A customer buys a CD for $15 and a video game. The expression for the total cost of both items before tax is

15 + x

The customer pays a total of $42.80 for the two items. This includes 7% sales tax. The amount of tax paid by the customer for both items would be

7/100 × 42.8 = $2.996

The amount paid for the items before tax would be

42.8 - 2.996 = 39.804

Therefore, the equation that can be used to find x, the cost of the video game before tax is

15 + x = 39.804

Answer:

B

Step-by-step explanation:

Answer:

sin(B) = 4/5

cos(B) = 3/5

tan (B) = 4/3

Step-by-step explanation:

soh cah toa

Answer:

A

Step-by-step explanation:

Answer:

An isosceles triangle

Step-by-step explanation:

An isosceles triangle has 3 sides and has two equivalent sides with the same measure

Answer:

Triangle Isosceles

Step-by-step explanation:

Triangle Isosceles is the 3 sided opygon wich has two sides the same lenght

Answer:

-3

Step-by-step explanation:

Answer:

d.) 150 billion dollars

Step-by-step explanation:

As per the given bar graph, we can draw the following conclusions:

Net exports for United States = ~ -110 Billion Dollars (It means import of 110 Billion Dollars)

Net exports for Denmark = ~ -30 Billion Dollars (It means import of 30 Billion Dollars)

Net exports for China = ~ 115 Billion Dollars

Net exports for Germany = ~ 35 Billion Dollars

We have to find the sum of net exports of Germany and China:

[tex]\Rightarrow[/tex] 35 + 115 = 150 Billion Dollars.

Hence, correct answer is d. 150 Billion Dollars.

Answer: d

Step-by-step explanation:

150 billion dollars

Answer:

Step-by-step explanation:

Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;

Probability = Expected outcome of event/total outcome of event

If a bag contains 20 total marbles, then the total outcome of event is 20.

If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.

Probability of drawing a blue marble P(draw a blue marble)= 12/20

= 0.60 (to 2dp)

Answer:

Step-by-step explanation

since we have a right triangle then we can apply the Pythagorean theorem:

x² + 8² =10²

⇒ x² = 10² - 8²

⇒ x² = 36

⇒  x² = 6²

⇒ x = 6  (because x is positive)

Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish, and Wiktor was 35 m. When Olga finished the race, Wiktor had 22 m to the finish. At what distance was the race held?

Explanation:

Let distance be x meters

Fist statement:

Artur distance = x

Olga =x-15

Wiktor = x-35

Since they are going at constant speed, time is constant for all 3.

Their speed = distance/time

x/t, (x-15)/t, (x-35)/t respectively

Second statement:

Olga distance = x

Wiktor distance = x-22

Their Time is constant:

If it takes (x-15) in t secs,

for x meters will take = xt/(x-15)

Olga and wiktor respectively: xt/(x-15), xt/(x-15) respectively

Their speed:

Speed = distance/time

Olga = (x-15)/t,

Wiktor = (x-22)(x-15)/(xt)

Since speed is constant

Speed for Wiktor in both cases:

(x-35)/t =(x-22)(x-15)/(xt)

x(x-35) =(x-22)(x-15)

x² -35x = x² - 15x -22x +330

-35x = -37x +330

2x = 330

x = 165m

Race held at 165m distance.

The question is incomplete:

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?

Answer:

-The Webster family needs to buy 7 packages.

-The cost of the plates is $41.93.

Step-by-step explanation:

To calculate amount of packages that the Webster family need to buy, you have to divide the amount of people by the number of plates in each package:

100/15= 6.66

According to this, as they will need more than 6 packages, the Webster family needs to buy 7 packages to have one plastic plate for each person at the barbecue.

Then, the cost of the plates for the barbecue would be calculated by multiplying the price of each package for the number of packages needed:

$5.99*7= $41.93

The cost of the plates is $41.93.

Answer:

B

Step-by-step explanation:

A)  The function in factored form is -5(x - 1)² and the vertex is (1, 0).

B)  The zeroes are x = 1, the axis of Symmetry is x = 1 and the direction of the opening is downward.

C)  The domain of the function is all real numbers and the range is

(-∞, 0].

We have,

A)

Factoring out the common factor (-5):

f(x) = -5(x² - 2x + 1)

The equation x² - 2x + 1 can be factored as (x - 1)(x - 1) or simply (x - 1)²:

f(x) = -5(x - 1)²

The equation of a quadratic function:

f(x) = a(x - h)² + k

In this case,

a = -5, h = 1, and k = 0 (since there is no constant term).

So, the vertex of the function is (h, k) = (1, 0).

B)

To find the zeros of the function, we set f(x) = 0 and solve for x:

-5(x - 1)² = 0

(x - 1)² = 0

Taking the square root of both sides:

x - 1 = 0

x = 1

The axis of symmetry is a vertical line that passes through the vertex of the parabola.

In this case, the axis of symmetry is x = 1.

The direction of the Opening:

Since the coefficient of the x² term is negative (-5), the parabola opens downward.

C)

The domain of the function f(x) is all real numbers since there are no restrictions or limitations on the possible input values of x.

The parabola opens downward and the vertex is at (1, 0), the range of the function is all real numbers less than or equal to 0.

The range can be expressed as (-∞, 0].

Thus,

A) The function in factored form: -5(x - 1)², Vertex: (1, 0).

B) Zeros: x = 1, Axis of Symmetry: x = 1, Direction of Opening: Downward.

C) Domain: All real numbers, Range: (-∞, 0].

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Answer:

In order, 10, 14, (7, 14), (10, 20)

Step-by-step explanation:

The slot for C - Number of Beads is 10

This is because the patern is that it is increasing by 3.

The slot for B - Length of Neclace (cm) is 14

This is because the patern is that it is X2 from the Number of Beads.

The slot for B - Ordered Pairs is (7, 14)

This is because its X value is the according Number of Beads and the Y value is the according Length of Necklace.

The slot for C - Ordered Pairs is (10, 20)

(See the explanation above)

Answer:

[tex]10(3x+7)[/tex]

Step-by-step explanation:

we have the expression:

[tex]30x + 70[/tex]

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

[tex]10*3=30\\10*7=70[/tex]

so we can substitute this into the expression:

[tex]10*3x+10*7[/tex]

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

[tex]10(3x+7)[/tex]

Answer:

The Answer is 10(3x+7)

Step-by-step explanation:

Answer:

$6,900

Step-by-step explanation:

To calculate the potential amount of credit available on the home equity loan, first you have to calculate 75% of the appraised value:

$127,000*75%= $95,250

Then, as Evelynn has an existing mortgage, you have to subtract this amount from $95,250:

$95,250-$88,350= $6,900

According to this, the answer is that the potential amount of credit available on a home equity loan is $6,900.

Answer:

32, 40, 48, 56

Step-by-step explanation:

[tex]a_n= 8(n+3)...(given) \\\\ a_1= 8(1+3) = 8 \times 4 = 32 \\ \\ \: a_2= 8(2+3) = 8 \times 5 = 40 \\ \\ a_3= 8(3+3) = 8 \times 6 = 48 \\ \\ a_4= 8(4+3) = 8 \times 7 = 56 \\ [/tex]