Answer:
20789
Step-by-step explanation:
The equation of exponential growth is y=A(1+r)^t
A=10,000
r (rate)=0.05 (5% as a decimal)
t (time)=15 (2035-2020=15)
y=10,000(1+0.05)^15
y=20789.2817
you can't have part of a person, so y=20789
This isn't something specific I need to know for school, I'm just curious. I know the most commonly used variables are x, y, and z. But what if you have more then three variables, what are the next letters you are supposed to use?
Answer:
Any letter you want
Step-by-step explanation:
The letters used for variables don't matter. What matters is what the variables represent: their numerical value. Variables are just to help identify what needs solving. Other common variables are a, b, and c which are found frequently in trigonometry. To answer your question, there are no "next letters." You can use any letter you'd like as a variable because it holds the same numerical value. Basically, the whole alphabet is at your disposal.
find the value of x
Answer:
9x= 360 -180
x= 180/9
x= 20°
Answer:
x = 30
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, thus
sum = 180° × 3 = 540°
Sum the given angles and equate to 540, that is
x + 106 + 90 + 74 + 8x = 540, simplify
9x + 270 = 540 ( subtract 270 from both sides )
9x = 270 ( divide both sides by 9 )
x = 30
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions
to the nearest hundredth.
x² + 12x+11=0
-25m-10+10m+15
:)
pls help
Answer:
-5(3m-10
Step-by-step explanation:
Answer:
-15m+5
Step-by-step explanation:
-25 and 10 is -15 bc of the signs and the same with -10 and 15
A girl scout troop makes $1100 in two weekends of selling cookies. If they continued at this rate, how much money would they make in their seven weekend selling season?
Answer:
$3850
Step-by-step explanation:
It is given that,
A girl scout troop makes $1100 in two weekends of selling cookies.
2 weekend = $1100
1 weekend = $550
For 7 weekend, we will multiply $550 by 7 as follows :
7 weekend = $550 × 7
= $3850
So, for 7 weekend she will need $3850.
The length of a rectangle 2 less than 2 times the width. The perimeter is 116ft. Find
the length and width.
Answer: w = 20 l = 38
Step-by-step explanation:
l = 2w - 2 (based on given info)
p = 2l + 2w (formula for perimeter)
p = 116 (given)
116 = 2l + 2w
116 = 2(2w-2) + 2w (substitute in l)
116 =‘ 4w-4 + 2w
116 = 6w-4
w=20
l=2(20) - 2 = 38
Who cursed Narcissus with forcing him to fall in love with his reflection?
1 point
Hera
Aphrodite
Hestia
Persephone
Answer:
Aphrodite
Step-by-step explanation:
Aphrodite is the goddess of love. I have done this question!
Someone help me plz ty :)
Answer:
X = 12.12
Step-by-step explanation:
Use the Pythagorean Theorem for this question.
[tex]a^2 + b^2 = c^2[/tex]
7 is one of the legs while 14 is the hypotenuse. So we set up the equation like this:
[tex]a^2 + 7^2 = 14^2[/tex]
Square 7 and 14:
[tex]a^2 + 49 = 196[/tex]
Minus 49 from both sides:
[tex](a^2 + 49) - 49 = (196) - 49[/tex]
[tex]a^2 = 147[/tex]
Square root both sides:
[tex]\sqrt{a^2} = \sqrt{147}[/tex]
[tex]a = 12.12[/tex]
Therefore x is equal to 12.12
Hope this helps!!
- Kay
Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection, centers of rotation and degrees of rotation, distance and direction of translations, and centers of dilation with a scale factor. Determine if the transformation is a rigid transformation or a similarity transformation. Explain all reasoning.
Part A: Figure 1 →Figure 4
Part B: Figure 2 → Figure 5
Answer:
Part A: Figure 1 → Figure 4
Rigid Transformation
Equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin which are types of rigid transformation
Part B: Figure 2 → Figure 5
Similarity transformation
Figure 5 is Figure 2 dilated by a scale factor of 1/2, which is a form of a similarity transformation
Step-by-step explanation:
Part A: Figure 1 → Figure 4
The coordinates of the vertices of the preimage are;
(5, 10), (2, 4), (9, 2)
The coordinates of the vertices of the image are;
(-9, -2), (-2, -4), (-5, -10)
Which is equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin
Part B: Figure 2 → Figure 5
The coordinate points of figure 2 are;
(-9, 2), (-5, 10), and (-2, 4)
The coordinate points of figure 5 are;
(1, 2), (2.5, -1), and (4.5, 3)
The lengths of the sides of figure 2 are;
√((10 - 2)² + ((-5) - (-9))²) = 4·√5
√((10 - 4)² + ((-5) - (-2))²) = 3·√5
√((2 - 4)² + ((-9) - (-2))²) = √53
The lengths of the sides of figure 5 are;
√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2
√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5
√((4.5 - 1)² + (3 - 2)²) = (√53)/2
Therefore. Figure 5 is Figure 2 dilated by a scale factor of 1/2
Therefore, given that the sides of Figure 2 and Figure 5 are rotated by 180°
We have;
Figure 5 is obtained as follows;
1) The rotation of figure 2 by 180°, clockwise or anticlockwise about the origin to get;
(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)
2) The image is translated left by 1 blocks and up by 6 blocks as follows;
(9, -2), (5, -10), and (2, -4) → (8, 4), (4, -4), and (1, 2)
3) The image is then dilated by a scale factor of 1/2 with a center of dilation of (1, 2) to get;
Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).
CJ earned a score of 75% on his math quiz. Each question on the quiz was worth 1 point, and CJ got 18 questions correct. How many questions were on the quiz? There were questions on the quiz
Answer:
24 questions
Step-by-step explanation:
Given
[tex]Score = 75\%[/tex]
[tex]Correct\ Questions = 18[/tex]
Required
Determine the number of question
Represent this with n.
Since each question has 1 point each, then
[tex]Score * Number\ of\ questions = Correct\ Questions[/tex]
Substitute values for Score, Number of Questions and Correct Questions
[tex]75\% * n = 18[/tex]
Make n the subject.
[tex]n = \frac{18}{75\%}[/tex]
Convert percent to decimals
[tex]n = \frac{18}{.75}[/tex]
[tex]n = 24[/tex]
Hence, there are 24 questions in total
Solve: -4.2 divided by 12
Answer: -0.35
Step-by-step explanation:
Answer:
- 0.35
Step-by-step explanation:
4.2 / 12 = 0.35
But you would put a negative sign at the end because the 4.2 was a negative but not the 12. (When only one number is negative in an equation the answer also has to be negativ.)
If x is positive and x^2 = 729, what is the value of x?
Answer:
27
Step-by-step explanation:
the cube root of 729=9 so sqrt729=27
please help asap !!
Answer: Solve for x by simplifying both sides of the equation, then isolating the variable.
Explanation: X= 16
Challenge A large university accepts 50% of the students who apply. Of the students the
university accepts, 25% actually enroll. If 20,000 students apply, how many actually enroll?
students would actually enroll.
Answer:
Step-by-step explanation:
20,000 students 50% are accepted so that is 10,000 students of that 10,000 only 25% enroll which is 2,500.
Answer:
2,500 students
Step-by-step explanation:
50% of 20,000 is the amount of students that were accepted. That makes 10,000 students accepted. 25% of 10,000 is the amount enrolled. 25% is 1/4. So 1/4 of 10,000 is 2,500. So 2,500 students enrolled in that university.
Determine if the following figures are similar. Explain why or why not.
Answer: The following shapes are similar. If they were congruent, their side lengths would be proportional but they are not. Thus, they are similar
Step-by-step explanation:
Which model can be used to represent the number below? 0.111
Answer:
The top right one
Step-by-step explanation:
It’s 111 so first find the one with the 10x10 grid then get the one of ten finally get the one with one
Answer: It is the top right.
Step-by-step explanation:
i need help with finding the domain of R
Answer:
The domain of R = [-2, ∞)
Step-by-step explanation:
We know that the domain of a function is the entire set of input values for which the function remains real and defined.
Given the attached graph, we can observe that at point x=-2 the graph heads towards positive infinity.
i.e. [-2, ∞) is the interval.
It means from x=-2 onwards to the positive infinity i.e. the interval [-2, ∞), the graph is representing the domain.
Therefore, the domain of R = [-2, ∞)
Gretta has 40 raffle tickets to sell. She is required to sell at least 15 tickets. She sells the raffle tickets for $10 each. The amount of money Gretta makes from selling x raffle tickets is represented by a function. f(x)=10x What is the practical range of the function?
Answer:
Option d is correct that is range of the function is all multiples of 10 between 150 and 400, inclusive.
Step-by-step explanation:
We have been given the information that gretta is selling x raffle ticket by a function
f(x)=10 x
Range is the values that y takes in a particular function
Here, we will get any value which is multiple of 10 since we have a function 10 times of something whatever value we put for x we will get multiple of 10.
Hence, Option d is correct that is range of the function is all multiples of 10 between 150 and 400, inclusive.
Tristan and his children went into a restaurant and will buy hotdogs and tacos. Each hotdog costs $4 and each taco costs $3. Tristan has a total of $30 to spend on hotdogs and tacos. Write an inequality that would represent the possible values for the number of hotdogs purchased, hh, and the number of tacos purchased, t.
Answer:
I don't know about this problem, but what I do know is that with $30, you could buy either 7 hotdogs, or 10 tacos.
Step-by-step explanation:
Answer:
4h + 3t ≤ 30
Step-by-step explanation:
delta
There are 160 cups of water in 10 gallons of water. What is the total number of cups of water
in one and one-half (1.5) gallon of water? *
PLEASEEE help with this question
Answer:
Step-by-step explanation:
What is the value of log43? Use the calculator. Round your answer to the nearest tenth. 0.6 1.6 3.8 4.7
Answer:
1.6
Step-by-step explanation:
you plug it into a calculator
Answer:
B.) 1.6
Step-by-step explanation:
What operation do you have to do when there
is a number and a variable (letter) touching?
Subtract
Divide
Multiply
Add
Rewatch
Submit
Answer:
Multiply
Step-by-step explanation:
Please answer this question in the picture! It can be one choice or multiple..
Answer:
a
Step-by-step explanation:
hope this will help u.........
Determine if the following figures are similar. Explain why or why not.
Answer:
They are not the same
Step-by-step explanation:
4m x 8m = 32m
10m x 20m = 200m
So...they are not similar
Only similarity is both of them are rectangles
Answer:
No, the ratios of the corresponding sides are not equal.
Step-by-step explanation:
Two or more figures are similar if they have exactly the same shape. Similar figures may be of different sizes. Similar figures have corresponding sides and corresponding angles. Corresponding sides have lengths that are proportional.
Which table made this graph?
Answer:
IV
Step-by-step explanation:
The Y column is the same, and so is the graph.
Why do I have to watch an ad just to be told that I have to pay for brainly...
Answer:
Money
Step-by-step explanation:
Ads help provide money for the company.
HOPE THIS HELPED
Jonas was visiting Garner State Park. At the entrance, he saw a map of the park. The legend stated that 1.5 inches on the map represents 2.5 feet in the park. On the map, how many inches would represent 6 actual feet?
Answer: 3.6
Step-by-step explanation:
The required scale in inches for the 6 actual feet is 3.6 inches.
Given that,
Jonas was visiting Garner State Park. At the entrance, he saw a map of the park. The legend stated that 1.5 inches on the map represent 2.5 feet in the park. On the map, how many inches would represent 6 actual feet is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
On the map,
1.5 inches = 2.5 feet
1 feet = 1.5 / 2.5 inches
1 feet = 0.6 inches
Multiply both sides by 6.
6 feet = 3.6 inches
Thus, the required scale in inches for the 6 actual feet is 3.6 inches.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ6
Plz help. Which problem is a linear equation?
Answer:
I think the answer should be A
The salary scale for an officer starts at $1,700,000 .A rise of $4000 is given at the end of each share . Find the total amount of money the officer will earn in 14 years
9514 1404 393
Answer:
$24,164,000
Step-by-step explanation:
The yearly salaries form an arithmetic sequence with a first term of 1700000 and a common difference of 4000.
The sum of n terms of an arithmetic sequence with first term a1 and common difference d is ...
Sn = (2a1 +d(n -1))(n/2)
For the given numbers, the sum of 14 years' salaries will be ...
S14 = (2·1,700,000 +4,000(14 -1))(14/2) = 24,164,000
The officer will earn $24,164,000 in a 14-year period.
Clearly, we can see that salary of the officer is in form of Arithmetic progession, where :
First term, a = $ 1,700,000Common difference = $ 4000Number of terms, n = 14And we have to find total salary i.e. [tex] \tt s_{n} = ?[/tex]
Now, we know that :
[tex] \large \underline{\boxed{\bf{S_n = \dfrac{n}{2} \Bigg(2a + (n-1) d\Bigg)}}}[/tex]
By substituting values :
[tex] \tt : \implies S_n = \dfrac{14}{2} \Bigg(2(1700000) + (14-1) (4000)\Bigg)[/tex]
[tex] \tt : \implies S_n = \cancel{\dfrac{14}{2}} \Bigg(2\times 1700000 + 13 \times 4000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \Bigg(3400000 + 52000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \Bigg(3452000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \times 3452000[/tex]
[tex] \tt : \implies S_n = 24164000[/tex]
[tex] \large \underline{\boxed{\bf{S_n = \$ 24,164,000}}}[/tex]
Hence, the total amount of money the officer will earn in 14 years is $ 24,164,000.