1. A radio station is holding a contest to give away a total of $82 000 to its listeners. The radio station gives away $25 on
SuM and so on.
the first day, $75 on the second day, $225 on the third day,
How much money will be given away on the last day?
Answers
On the last day, $675 will be given away.
To find out how much money will be given away on the last day, we need to determine the pattern of the prize amounts given away each day.
Based on the information provided, we can observe that the prize amounts given away each day are increasing in a particular pattern.
On the first day, $25 is given away.
On the second day, $75 is given away.
On the third day, $225 is given away.
Looking at the pattern, we can see that the prize amounts are increasing by a factor of 3 each day. So, we can calculate the prize amount for the last day by continuing this pattern.
To find the prize amount for the last day, we need to calculate $225 multiplied by 3.
$225 * 3 = $675
Therefore, on the last day, $675 will be given away.
for such more question on prize amounts
https://brainly.com/question/4344214
#SPJ8
Related Questions
3. The parabola y = z is changed to the form y = a(z - p)2 + by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of , p, and ?-a= 2,p=3,q=4-a = 2,p=4,q=3- a = 4, p = 2,4 = 3-a = 3, p = 4,9 - 2
Answers
the correct question is
The parabola y = z^2 is changed to the form y = a(z - p)2 + q, by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of a, p, and q ?
-
we have
y=z^2 ------> parent function
vertex is (0,0)
y=a(z-p)^2+q
the translation is 2 units up and 4 units right
so
the rule is
(x,y) -----> (x+4,y+2)
so
y=a(z-4)^2+2
and
expanding it vertically by a factor of 3
the rule is
(x,y) -----> (x,3y)
therefore
y=3(z-4)^2+2
answer is
a=3p=4q=2Perform the indicated operation f(x)= 4x+2 G(x) = -2x^2-4 find F(g(2))
Answers
The equivalent value for the expression f(g(2) is -46
Composite functionsComposite functions are also known as function of a function.
Given the functions below;
f(x)= 4x+2
G(x) = -2x^2-4
Determine the composite function f(g(x))
f(g(x)) = f(-2x^2-4)
f(-2x^2-4) = 4(-2x^2 - 4) + 2
f(-2x^2-4) = -8x^2 - 16 + 2
f(-2x^2-4) = -8x^2 - 14
Substitute x = 2 into the functions
f(g(2)) = -8(2)^2 - 14
f(g(2) = -32 - 14
f(g(2) = -46
Hence the equivalent value for the expression f(g(2) is -46
Learn more on composite function here: https://brainly.com/question/13502804
#SPJ1
Select the true statement about triangle ABC.
A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C
Answers
Answer:
B
Step-by-step explanation:
cosA = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{12}{13}\)
cosC = \(\frac{BC}{AC}\) = \(\frac{5}{13}\)
sinC = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{12}{13}\)
tanC = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{12}{5}\)
Then
cosA = sinC → B
A car is depreciating according to the formula
= 32,000(2.71)
−0.05
where x is the age of the car in years and V is in dollars.
Find the value of the car (to the nearest dollar) when it is
six and one-half years old
Need help on this one plz and thank you.
Answers
The price of the car after 6.5 years is $23,142.4
Given the formula of a car depreciating given as:
\(V = 32000(2.71)^{-0.05x\) where:
x is the age of the car in years and;V is in dollars.We need to find the value of the car when it is 6.5 years old.
Substitute x = 6.5 into the expression will give:
\(V = 32000(2.71)^{-0.05x}\\V = 32000(2.71)^{-0.05(5.6)}\\V = 32000(2.71)^{-0.325}\\V=32000(0.7232)\\V =23,142.4\)
Hence the price of the car after 6.5 years is $23,142.4
Learn more on depreciation here: https://brainly.com/question/25297296
what is the measurement of angle 1?
what is the measurement of angle 2?
30, 35, 60, 65, 80, 85
Answers
Answer:
Angle 1: 35
angle 2: 30
Step-by-step explanation:
whats 900 +900 -100
(is it ok if i rant to yall im lowkey sad and mad)
Answers
Answer:
1700
Step-by-step explanation:
Answer:
1700. sure you can I guess
Problems 9 & 10. Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid similarity statement.
Answers
On the basis of similarity of triangles, the triangles in Q9 are similar by AA similarity whereas in Q10 the triangles are similar by SAS similarity.
What is similarity?
Any Two triangles are said to be same or similar if they have the same ratio of the corresponding sides in the triangles and equal pair of corresponding angles in the triangles. If two or more figures or polygons having the same shapes, but their sizes are not same, then those figures or polygons are called similar. To be congruent, the shapes or polygons must have equal angles and equal sides.
Q9)Consider the ΔTUS and ΔUVW
∠STU=∠UVW=(72°)
∠TUS=∠VUW {vertically opposite angles}
The given triangles are similar by AA criteria.
Q10)Consider the ΔKDH and ΔBAD
∠H = ∠A = 38 °
\(\frac{KH}{BA} =\frac{DH}{AD}\)
\(\frac{20}{28} = \frac{15}{21} = \frac{5}{7}\)
The above triangles are similar by SAS
To know more about similarity, visit:
https://brainly.com/question/14285697
#SPJ1
If Alicyn makes $8 everyday for babysitting her little sister, how long will it take her to make $128?
Answers
Answer:
16 Days
Step-by-step explanation:
$8 x 1 = 8
$8 x 16 = 128
16 Days!!!!
If Alicyn makes $8 everyday for babysitting her little sister, It'll take her 16 days to make $128.
Answer:
16 days
Step-by-step explanation:
8x _ = 128
8x 16= 128
\( \sqrt[3]{27} \times \sqrt[3]{16} = \)
Answers
![[tex] \sqrt[3]{27} \times \sqrt[3]{16} = [/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/tXmrI5AVcINgDwJCZ57Xyxug87LHzqwf.png)
The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?
Answers
Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,
we know,
\( \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6\)
\( \hookrightarrow \: y + 7x - 7 = 16x - 6\)
\( \hookrightarrow \: y = 16x - 6 - 7x + 7\)
\( \hookrightarrow \: y = 6x + 1\)
hence, measure of the third side is 6x + 1
Polly was speeding on her way home to Atlanta and received a super speeder ticket! The speed limit was 55 miles per hour and for each mile an hour over the speed limit, she was charged $24. Then, she had to pay an extra $200 on top of that. The total cost of her ticket was $584. How fast was she going?
Answers
Answer:
16 miles
Step-by-step explanation:
In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class passed the test?
Completed the homework
Did not complete the homework
Passed the test Failed the test
12
2
4
3
Answers
Answer:
20/27
Step-by-step explanation:
Number 2 answer please
Answers
Answer:
that's the answer in pic
Average returns can be calculated_____.
multiple choice a. different ways b. only by the arithmetic average method
c. only by the geometric average method
Answers
c. only by the geometric average method. Average returns can be calculate geometric average method.
Average returns can be calculated using different methods such as arithmetic average and geometric average. However, when it comes to calculating the average annualized return, it can only be accurately calculated using the geometric average method. This is because the arithmetic average return does not account for the compounding effect, which is important in long-term investments. The geometric average return, on the other hand, takes into account the compounding effect and gives a more accurate measure of the average returns. Therefore, average returns can be calculated using different methods, but the most accurate way to calculate the average annualized return is through the geometric average method.
Learn more about average here
https://brainly.com/question/130657
#SPJ11
A town has a population of 20,000 and is growing at 4% each year. What will the population be after 6 years, to the nearest whole number?
Answers
Based on an exponential growth rate of 4% each year, the town whose population is 20,000 will be 25,306 after 6 years.
What is exponential growth?An exponential growth refers to a constant ratio of increase per period.
An exponential growth is modeled by the exponential growth function, which is one of the two exponential functions, including exponential decay function.
The current or initial population of the town = 20,000
The annual growth rate = 4% = 0.04
Growth factor = 1.04 (1 + 0.04)
The number of years from the initial year of census = 6 years
Let the number of years from the initial year = n
Let the population after n years = y
Exponential Growth Function:y = 20,000(1.04)^6
y = 25,306
Learn more about exponential functions at https://brainly.com/question/2456547.
#SPJ1
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories.Find the probability that the percent of fat calories a person consumes is more than 41
Answers
Answer:
The probability that the percent of fat calories a person consumes is more than 41 is approximately 0.3085.
Step-by-step explanation:
To find the probability that the percent of fat calories a person consumes is more than 41, we need to calculate the area under the normal distribution curve to the right of 41.
Given:
Mean (μ) = 36
Standard deviation (σ) = 10
We can standardize the value 41 using the formula:
z = (x - μ) / σ
Plugging in the values:
z = (41 - 36) / 10
= 5 / 10
= 0.5
Now, we need to find the area to the right of 0.5 on the standard normal distribution curve. This can be looked up in the z-table or calculated using a calculator.
The probability will be the complement of the area to the left of 0.5.
Using the z-table, the area to the left of 0.5 is approximately 0.6915. Therefore, the area to the right of 0.5 is 1 - 0.6915 = 0.3085.
So, the probability that the percent of fat calories a person consumes is more than 41 is approximately 0.3085.
To know more about normal distribution curve refer here:
https://brainly.com/question/30783928
#SPJ11
10. A line has equation y=3kx−2k and a curve has equation y=x 2
−kx+2, where k is a constant. a) Find the set of values of k for which the line and curve meet at two distinet points. b) For cach of two particular values of k, the line is a tangent to the curve. Show that these two tangents meet on the x-axis. 11. The equation x 2
+px+q=0, where p and q are constants, has roots −3 and 5 . a) Find the values of p and q. b) Using these values of p and q, find the value of the constant r for which the equation x 2
+px+q+r=0 has equal roots. 12. A curve has equation y=x 2
−4x+4 and a line has the equation y=mx, where m is a constant. a) For the case where m=1, the curve and the line intersect at the point A and B. b) Find the coordinates of the mid-point of AB. c) Find the non-zero value of m for which the line is the tangent to the curve, and find the coordinates of the point where the tangent touches the curve. Answer: 1. ( 2
1
,0) 9. a) 25−(x−5) 2
2. a) (3x− 2
5
) 2
− 4
25
b) (5,25) b) − 3
1
3
10. a) k>1,k<− 2
1
Answers
a) The set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.
To find the set of values of k for which the line and curve meet at two distinct points, we need to solve the equation:
x^2 - kx + 2 = 3kx - 2k
Rearranging, we get:
x^2 - (3k + k)x + 2k + 2 = 0
For the line and curve to meet at two distinct points, this equation must have two distinct real roots. This means that the discriminant of the quadratic equation must be greater than zero:
(3k + k)^2 - 4(2k + 2) > 0
Simplifying, we get:
5k^2 - 8k - 8 > 0
Using the quadratic formula, we can find the roots of this inequality:
\(k < (-(-8) - \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = -2/5\\ or\\ k > (-(-8)) + \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = 2\)
Therefore, the set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.
b) To find the two values of k for which the line is a tangent to the curve, we need to find the values of k for which the line is parallel to the tangent to the curve at the point of intersection. For m to be the slope of the tangent at the point of intersection, we need to have:
2x - 4 = m
3k = m
Substituting the first equation into the second, we get:
3k = 2x - 4
Solving for x, we get:
x = (3/2)k + (2/3)
Substituting this value of x into the equation of the curve, we get:
y = ((3/2)k + (2/3))^2 - k((3/2)k + (2/3)) + 2
Simplifying, we get:
y = (9/4)k^2 + (8/9) - (5/3)k
For this equation to have a double root, the discriminant must be zero:
(-5/3)^2 - 4(9/4)(8/9) = 0
Simplifying, we get:
25/9 - 8/3 = 0
Therefore, the constant term is 8/3. Solving for k, we get:
(9/4)k^2 - (5/3)k + 8/3 = 0
Using the quadratic formula, we get:
\(k = (-(-5/3) ± \sqrt{((-5/3)^2 - 4(9/4)(8/3)))} / (2(9/4)) = -1/3 \\or \\k= 4/3\)
Therefore, the two values of k for which the line is a tangent to the curve are k = -1/3 and k = 4/3. To show that the two tangents meet on the x-axis, we can find the x-coordinate of the point of intersection:
For k = -1/3, the x-coordinate is x = (3/2)(-1/3) + (2/3) = 1
For k = 4/3, the x-coordinate is x = (3/2)(4/3) + (2/3) = 3
Therefore, the two tangents meet on the x-axis at x = 2.
Learn more about " line and curve" : https://brainly.com/question/30162650
#SPJ11
Write an explicit formula for the following sequences.
-4, -6, -8, -10...
Answers
Answer:
tn=-2n-2
hope this helps :)
Refer to picture for question.
The answer choices are
a)$72
b)$36
c)$101
d)$137
Answers
Olive has raised $3,428 to buy toothpaste to place in care packages. Each tube costs $2. Abut how many tubes of toothpaste can she buy? Choose the best estimate.
Answers
Answer:
I think the answer is 1,714 tubes
Step-by-step explanation:
Calcilate the fusere valo of 57,000 in 2. 5 years at an interest rale of \( 5 \% \) per year. b. 10 year at an irterest rate of \( 5 \% \) per year e. 5 years at an irterest rate of 10 h per year. a.
Answers
Answer:
Step-by-step explanation: I am sorry but i don't understand a single thing:(
The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.
What is the greatest possible whole-number value of the congruent side lengths?
Answers
The unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is:
The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown. What is the greatest possible whole-number value of the congruent side lengths?
9 cm
10 cm
14 cm
15 cm
We have:
The longest side of an isosceles obtuse triangle measures 20 centimeters.
Let's assume the unknown side length is x:
In the isosceles obtuse triangle, two sides are congruent.
As we know the sum of the two sides in a triangle is greater than the third side length:
x + x > 20
2x > 20
x > 10
a² + b² < c²
14 will satisfy the above two inequaility.
Thus, the unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
m23 is 6x +118)" and m 25 is 1x + 78).
1
2
4
5 6
78
What is m26?
Answers
Answer:78
Step-by-step explanation:
A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answers
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
if the first and last terms of an arithmetic series are 5 and 27, respectively, and the series has a sum 192, then the number of terms in the series is
Answers
If the first and last terms of an arithmetic series are 5 and 27, respectively, and the sum of the series is 192, then the number of terms in the series can be calculated as 12.
To find the number of terms in the arithmetic series, we can use the formula for the sum of an arithmetic series:
Sum = (n/2)(first term + last term)
We are given the first term (5), the last term (27), and the sum (192). Plugging these values into the formula, we have:
192 = (n/2)(5 + 27)
Simplifying the equation:
192 = (n/2)(32)
192 = 16n
Dividing both sides of the equation by 16:
n = 192/16
n = 12
Therefore, the number of terms in the arithmetic series is 12.
Learn more about Arithmetic Series here: brainly.com/question/30214265
#SPJ11
How do you find average speed from aHow do you find average speed from a distance time graph?\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ distance time graph?
Answers
An average speed can be calculated from a distance time graph through the division is change in distance and change in its corresponding time.
What is distance time graph?A distance time graph is a type of graph that show the distance covered by an object with respect to time.
When plotting a distance time graph, the distance is plotted in the y-axis while time is plotted of the X -axis and a suitable scale of used to fill in the observed figures.
Speed is the product of distance travelled by an object with respect to its time. Therefore, an average speed can be calculated through the division is change in distance and change in its corresponding time.
That is ; average speed= ∆speed/∆ time
Learn more about speed here:
https://brainly.com/question/24739297
#SPJ1
a professor is deciding which classes to teach in the fall. she chooses math 341 with probability 3/7 and math 340 with probability 1/4 and neither class with probability 1/2. a. what's the probability that she chooses to teach both classes?
Answers
The probability that the student chooses both math and Spanish is 0.5.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Given that professor is deciding which classes to teach in the fall.
The chooses math 341 with probability 3/7 and math 340 with probability 1/4 and neither class with probability 1/2.
P(M) = 3/7
P(S) = 1/4
P (M' ∩ S') = 1/2
According to De-Morgans law
P (M ∩ S) = P(M) + P(S) - P (M' ∩ S')
P (M ∩ S) =1/2
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ1
Find the y-intercept of the parabola y = x2 + 7.
Answers
Answer:
(0,7)
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
y-intercept(s):
(
0
,
7
)
123 degrees
3x degrees
Answers
Answer:
Step-by-step explanationthe answer is 19 because your trying to find 180 and your timing that 3 by what ever gets you the extra of 180 so you do 19 ×3 equaling 57 and then you add in that 123 and it all equals 180
The value of x is 19°.
What are linear pairs?A linear pair of angles are formed when two lines intersect each other at a single point.
Given a pair of angles which are on a straight line and so, making a linear pair,
123°+3x=180°
3x = 57°
x = 19°
Hence, x = 19°
For more references on linear pairs, click;
https://brainly.com/question/17525542
#SPJ5
Write and solve an equation for the following:
Answers
Answer:
x = (180 - [71 + 9]) ÷ 2
Step-by-step explanation:
71 + 9 = 80
180 - 80 = 100°
100° ÷ 2 = 50°