[tex]y = 48.28(1.06)^t[/tex] is the model giving the annual price p (in dollars) of a ticket t in years after 2000 is found
Solution:
Given that,
In 2000, the average price of a football ticket for a Minnesota Vikings game was $48.28
During the next 20 years, the price increased an average of 6% each year
The increasing function is given by:
[tex]y = a(1+r)^t[/tex]
Where,
y is the value after t years
t is the number of years
a is the initial value
r is rate of increase in decimal
From given,
a = 48.28
[tex]r = 6 \% = \frac{6}{100} = 0.06[/tex]
Substituting the values we get,
[tex]y = 48.28(1+0.06)^t\\\\y = 48.28(1.06)^t[/tex]
Thus the model giving the annual price p (in dollars) of a ticket t in years after 2000 is found
Factor 18p-3618p−3618, p, minus, 36 to identify the equivalent expressions. Choose 2 answers: Choose 2 answers:
Answer:
18(p-2) and 2(9-18)
Step-by-step explanation:
The circumference of a circle is 12 what is the radius
Answer:
6
Step-by-step explanation:
12/2=6
Two angles are supplementary.The larger angle is 15 more than 10 times the smaller angle. Find the measure of each angle
Step-by-step explanation:
Let the smaller angle = x and
The larger angle = 10x + 15°
To find, the measure of each angle = ?
We know that,
The sum of two supplementary anges = 180°
∴ x + (10x + 15°) = 180°
⇒ x + 10x + 15° = 180°
⇒ 11x = 180° - 15°
⇒ 11x = 165°
Dividing both sides by 11, we get
[tex]\dfrac{11x}{11} =\dfrac{165}{11}[/tex]
⇒ x = 15°
∴ The smaller angle = 15° and
The larger angle = 10(15° ) + 15° = 165°
What is the answer for the question
r = 16/2 = 8 cm
C = 2π·r = 2×3.14×8 = 50.24 cm
Which exponential function has an initial value of 2?
An exponential function with an initial value of 2 can be represented as f(x) = 2e^x, where '2' is the coefficient and 'e^x' is the exponential term. The term 'initial value' in this context refers to the coefficient, which is the output of the function when the input is 0.
Explanation:An exponential function with an initial value of 2 can be represented as f(x) = 2e^x. Here, the initial value is referred to as a coefficient or base of the exponential function. This means that the output of the function is 2 when the input is 0. Squaring of exponentials involves multiplying the exponent of the exponential term by 2.
As another example, in the exponential arithmetic expression 5^2, you 'square' the base number 5 by using the exponent '2', resulting in 25. Similarly, in the exponential function 2e^x, '2' is the initial value, 'e' is the base of the natural logarithm, and 'x' is the exponent representing the rate of change.
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An exponential function with an initial value of 2 can be represented by the equation y = 2 × aˣ. The number 2 is the output of the function when x is 0 which represents its initial value. Exponential functions involve repeated multiplication, expressed as a base number raised to an exponent.
Explanation:An exponential function that has an initial value of 2 would be represented by the equation y = 2 × aˣ, where 'a' is the base of the exponent, and 'x' is the exponent itself. To understand this, it's crucial to understand how exponential functions work. They are mathematical expressions that involve an exponent or power, which is shorthand for repeated multiplications of the base number.
In this equation, the initial value is the number 2, which means when x = 0 in the function y = 2 × aˣ, the output will be 2. The 'a' in the equation represents the factor by which the function changes for each unit increase or decrease in 'x', and it can vary based on the specific function or problem context.
An example of such an equation would be y = 2 × 3ˣ, where the initial value y(0) = 2, and the base of the exponent is '3'. When dealing with Exponential Arithmetic, you're expressing very large or very small numbers as a product of two numbers, the first of which is usually a non-zero number between 1 and 10, and the second is 10 raised to an exponent.
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129 original price with a 30% discount
Answer:
i think it is $38.70
Step-by-step explanation:
What is the value of d + e + fwhen d = 20, e = -4 and f = -2?
0-26
O 14
0-22
18
The value of d + e + f is 14
Solution:
Given that,
d = 20
e = -4
f = -2
We have to find the value of d + e + f
Substitute d = 20 and e = -4 and f = -2
Thus we get,
d + e + f = 20 + (-4) + (-2)
Remove the parenthesis
We know that, when we multiply negative sign with positive sign, we get negative sign as result
d + e + f = 20 - 4 - 2
d + e + f = 20 - 6
d + e + f = 14
Thus value of d + e + f is 14
The perimeter of a rhombus is 84 inches. What is the length of each side of the rhombus? Explain
Answer:
Each side of the rhombus is 21 inches
Step-by-step explanation:
A rhombus has 4 equal sides: So all sides are the same
So you take the total perimeter and divide it by 4
84/4=21
Final answer:
The length of each side of a rhombus with a perimeter of 84 inches is 21 inches, calculated by dividing the total perimeter by the number of sides, which is four.
Explanation:
The question asks for the length of each side of a rhombus given its perimeter. The perimeter of a rhombus (or any polygon) is the total distance around the figure, and since all sides of a rhombus are equal in length, we can determine the length of one side by dividing the perimeter by the number of sides. A rhombus has four sides, so if the perimeter is 84 inches, the length of each side is the perimeter divided by four.
Here is the calculation for the length of each side:
Divide the perimeter (84 inches) by the number of sides (4).This gives us 84 inches / 4 = 21 inches.Therefore, the length of each side of the rhombus is 21 inches.
8C4
Evaluate expression
Answer:
Step-by-step explanation: (8 x C) + (8 x4)
8c + 32
Final answer:
To evaluate the expression ⁸C₄, we use the combination formula, giving a result of 70. This means there are 70 different ways to choose 4 items from a total of 8.
Explanation:
The question asks to evaluate the expression ⁸C₄. This is a combination problem where we want to find how many different ways we can choose 4 items from a total of 8 without regard to the order. In mathematics, the combination can be calculated using the formula [tex]n_C_{_r} = \frac{n!}{r! * (n-r)!}[/tex], where n is the total number of items, r is the number of items to choose, and ! denotes factorial, which is the product of all positive integers less than or equal to the number.
In this case, n = 8 and r = 4. So, we calculate as follows:
8! is 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40320
4! is 4 * 3 * 2 * 1 = 24
(8-4)! or 4! is also 24
Plugging these into our formula gives us ⁸C₄ = 40320 / (24 * 24) = 70
The final answer is 70. This means there are 70 different ways to choose 4 items out of 8.
What type of transformation?
(X,y) (x + 7, -y -6)
Answer:
Translate right 7 units (x+7)
Reflect over x-axis (-y) and translate down 6 units (-y - 6)
There is another option that got cut off, it is
D: -1;the amount of water decreases by 1 gallon per minute
PLEASE ANSWER
Answer:
answer is b
Step-by-step explanation:
look at the picture
Please help! I can't figure this out!
Answer:
1 & -1
Step-by-step explanation:
f(x) = g(x)
Find the inputs for which outputs are equal
Both outputs are 1 when x = -1
Both outputs are -7 when x = 1
Polygon JKLMNO and polygon PQRSTU are similar. The area of polygon
PQRSTU is 75. What is the area of JKLMNO?
Answer:
The area of polygon JKLMNO is 48 square units
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the scale factor
we know that
If two figures are similar, the the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
Let
z ----> the scale factor
The scale factor of the dilation of polygon PQRSTU to polygon JKLMNO is
[tex]z=\frac{KJ}{QP}[/tex]
substitute the given values
[tex]z=\frac{4}{5}[/tex]
step 2
Find the area of polygon JKLMNO
we know that
If two figures are similar, the the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> area of polygon JKLMNO
y ----> area of polygon PQRSTU
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=\frac{4}{5}[/tex]
[tex]y=75\ units^2[/tex]
substitute
[tex](\frac{4}{5})^{2}=\frac{x}{75}[/tex]
solve for x
[tex]x=(\frac{16}{25})75=48\ units^2[/tex]
therefore
The area of polygon JKLMNO is 48 square units
Answer:48units
Step-by-step explanation: I know
Mr. Markowski drives to his office one morning. After he leaves his house, he drives
at a constant speed until he reaches his office. After work, he drives home at a
constant speed until he reaches a stop light. He waits at the stop light and then
continues at the same speed as before until he gets home.
Which is the graph of Mr. Markowski's distance from his office?
Distance
from office
An
rawr raw
Step-by-step explanation:
Solve 3^n=5. How to solve n?
Answer:
[tex]\huge\boxed{n=\log_35}[/tex]
Step-by-step explanation:
[tex]3^n=5\Rightarrow\log_33^n=\log_35\qquad\text{use}\ \log_ab^n=n\log_ab\\\\n\log_33=\log_35\qquad\text{use}\ \log_aa=1\\\\\boxed{n=\log_35}[/tex]
The fact family model represents 3 + 14 = 17.
A triangle. 17 is in the top corner. 3 is in the bottom left corner. 14 is in the bottom right corner.
How does 17 compare to 3?
14 is 17 less than 3.
3 is 14 less than 17.
3 is 17 greater than 14.
3 is 14 greater than 17. ANSWER PLEASE 100 POINS
Answer:
3 is 14 less than 17
Step-by-step explanation:
17-3=14
Answer:
the answer is B 3 is 14 less than 17
hope it helps!
If Jeff washes his car in 6 minutes and bob washes the same car in 8 minutes. How long does it take both of them to wash the same car?
Answer:
3 3/7 or 24/7 mins
Step-by-step explanation:
Let total job = X
Jeff's rate = X/6
Bob's rate = X/8
Combined rate = X/6 + X/8
(4X × 3X)/24 = 7X/24
7X/24 = X/T
T = X ÷ (7X/24)
T = X × (24/7X)
T = 24/7 mins
Shortcut:
T = product of individual times/sum of individual times
T = (6×8)/(6+8)
T = 48/14
T = 24/7
T = 3 3/7 mins
Answer:
3 3/7 minutes or 3.4mins
Step-by-step explanation:
If Jeff washed husband car in 6 minutes and Bob washed the same car in 8 minutes , the time taken by both of them in washing the car ?
If Jeff washed the car in 6 minutes , in one minute, Jeff’s work = 1/6
If bob washed in 8mins, in one minute, bob’s work = 1/8
Add both together
1/6 + 1/8
Lcm of 6 and 8 Is 24
Divide the Lcm by the denominators and multiply the results by the numerator
We have 4+3 /24
7/24
Therefore time taken by both of them in Washing is 24/7
= 3 3/7 minutes 0r 3.4mins
Jamison graphs the function ƒ(x) = x4 − x3 − 19x2 − x − 20 and sees two zeros: −4 and 5. Since this is a polynomial of degree 4 and he only sees two zeros, he determines that the Fundamental Theorem of Algebra does not apply to this equation. Is Jamison correct? Why or why not?
Answer:
Jamison is not correct
Step-by-step explanation:
According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.
These roots comprises of real roots and imaginary roots.
The given function is
[tex]f(x) = {x}^{4} - {x}^{3} - 19 {x}^{2} - x - 20 [/tex]
Based on the Fundamental Theorem of Algebra, this function should have four roots.
The graph of the function only reveals real zeros and not the imaginary zeros.
So aside −4 and 5, there are two complex zeros
Jamison is incorrect; according to the Fundamental Theorem of Algebra, a fourth-degree polynomial will have four roots, which could include complex numbers. The zeros he observed are real, but the polynomial may also have complex zeros.
Explanation:Jamison is not correct because the Fundamental Theorem of Algebra states that every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots in the complex number system. The function ƒ(x) = x4 − x3 − 19x2 − x − 20 is a fourth-degree polynomial, therefore it will have four roots, not necessarily all distinct. Jamison has found two real zeros at −4 and 5. There could be additional complex zeros that were not visible on the graph. The theorem does not specify that all zeros must be real, only that there will be n zeros when including complex numbers.
Polynomials of the second order always have two roots in the complex number system, which explains why real polynomials without real roots (like x2 + 1) have complex roots i and −i. A polynomial of degree four such as the one Jamison is working with can be factored completely into four linear factors in the complex number system, leading to four complex roots. Therefore, it is possible that the remaining two roots of Jamison's polynomial are complex, which is consistent with the Fundamental Theorem of Algebra.
Angel and Jayden were at track practice. The track is 2/5 kilometers around.
•angel ran 1 lap in 2 minutes
•Jayden ran 3 laps in 5 minutes
How far does angel run in one minute
Answer: 66
Step-by-step explanation:
6 laps
NEED HELP ON THIS QUESTION ASAP PLEASE
Answer:
the last one
Step-by-step explanation:
If f(x) = 2x^2+x find f(x+1)
Answer:
f(x+ 1) = 2x^2 + 5x + 3.
Step-by-step explanation:
We replace the x in the expression for f(x) by x+1:
f(x+1) = 2(x + 1)^2 + x + 1
= 2(x^2 + 2x + 1) + x + 1
= 2x^2 + 4x + 2 + x + 1
= 2x^2 + 5x + 3.
Is x^2+y^2= 100 a function
Answer:
No
Step-by-step explanation:
It takes time 42 minutes to ride his bike 7 miles. How many minutes does it take him to ride 1 mile? Find a unit rate for using what you know about raIt takes time 42 minutes to ride his bike 7 miles. How many minutes does it take him to raid 1 mile?
Answer:
Step-by-step explanation:
42/7
= 8
converting to standard form y=3x-8
Standard form for a linear equation is Ax+By=C.
Problem: Write #y=3x-8 in standard form.
Subtract 3x from both sides of the equation.
−3x+y=−8
Multiply both sides by −1.
answer ==> 3x−y=8
why did the donkey get q passport
Answer:
because it can go overseas
???????????anybody helppp
Answer:
B) 24 p-35
Step-by-step explanation:
Step :1
Apply distributive property a.(b+c) = a.b+a.c
Given data 1+4(6 p-9)
= 1+4.6 p - 4.9
multiply
= 1+ 24 p - 36
subtracting
= 24 p - 35
The wolverines scored 42 points in a football game they scored 2 more field goals (3 points each) than touchdowns 6 points each how many field goals and touchdowns did they score
Answer:
6 touchdowns
Step-by-step explanation:
You just subtract the (2*3) from the 42 and get 36 than you divide by 6.
Using the formula V=lwh, find w when l=10, h=20 and v=2000
Answer:
w = 10
Step-by-step explanation:
Given
V = lwh ← substitute the given values
2000 = 10 × w × 20, that is
2000 = 200w ( divide both sides by 200 )
10 = w
y × 6 for y = 2/3. what is the y? please help.
Answer:
The answer is Y = 4. Hope this helps.
Answer: y is 2/3, or the answer to the equation is 4
Step-by-step explanation:
it tells you what y is with y=2/3, so you need to plug that into the equation nto get 4, or just use 2/3 as your answer
(56 x10°)-4,000,000 =
Answer:
-3999944
Step-by-step explanation: