If in 1990 the cost of tuition at a state university was 4300 during the next eight years that tuition rose 4% each year. the equation is A = $4300 (1+0.04)^t and the tuition is $5,231.61.
How to find the cost of tuition?Using this formula to find the tuition
A = P (1+ r)^t
The equation is:
A = $4300 (1+0.04)^t
Where:
A =Amount = ?
P = Principal = $4300
r = rate = 4%
t = time =?
Now let find the tuition in 1995
A = P (1+ r)^t
A =Amount = ?
P = Principal = $4300
r = rate = 4%
t = time = (1995 - 1990) = 5 years
Let plug in the formula
A = $4300 (1+0.04)^5
A = $4300 (1.04)^5
A = $5,231.61
Therefore the equation is A = $4300 (1+0.04)^t and the tuition is $5,231.61.
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The complete question is:
In 1990 the cost of tuition at a state university was 4300 during the next eight years that tuition rose 4% each year. Write an equation to model the amount of tuition (in dollars) for t years after 1990. Then find the tuition in 1995
I’ll give brainliest. Write the rule for the linear function
In a dividing competition, scores range from 0 to 10. When three judges, the number of points awarded is calculated by multiplying the sum of the scores by the degree of difficulty. Your opponent earns 40.8 points on a dive. You perform a dive with a degree of difficulty of 2.4. Two of your scores are shown. What scores from the third judge will give you more points than your opponent?
Answer:
1.5 or greater than 1.5
Step-by-step explanation:
First, we need to determine the total score of your opponent's dive:
40.8 points / 2.4 (degree of difficulty) = 17 (total score)
Now, we know that your total score needs to be greater than 17, and the scores awarded by the three judges are added together.
To calculate the scores from the third judge, we can use the following equation:
(Total score) - (score from judge 1) - (score from judge 2) = (score from judge 3)
Let's assume that you received scores of 8 and 7.5 from the first two judges.
We can plug in the values into the equation:
(Total score) - (8) - (7.5) = (score from judge 3)
We know that your total score needs to be greater than 17, so we have to find the score from the third judge, that when added to the scores 8 and 7.5, gives a total score greater than 17
17 - 8 - 7.5 = 1.5
The score from the third judge should be 1.5 or greater than 1.5 in order to give you more points than your opponent.
Mendel's law of segregation states that gametes only carry one allele for each gene. How much genetic information does a gamete carry, compared to a body cell?.
Gametes carry half the genetic information of an individual, one ploidy of each type, and are created through meiosis, in which a germ cell undergoes two fissions, resulting in the production of four gametes.
About Mendel's Law IMendel's Law I has another name, namely the Law of Segregation. In the Law of Segregation it states that "In the formation of gametes (sex cells) in the two genes which are partners, will be separated in two daughter cells". Mendel's Law I or the Law of Segregation applies to monohybrid crosses, aka crosses with one different trait.
Mendel's First Law also states that two alleles (gene variants) that regulate certain traits will separate in two different gametes (sex cells). Mendel's Law I includes several things, namely:
Alleles (gene variations) for inherited trait variations. For example: the colors of two different flowers, called alleles, will occupy the locus that corresponds to the homologous pair. Two alleles for a character will separate when gametes (sex cells) are produced. Example: the result of a cross containing one allele of the parent flower color (purple or white) Each character in each organism will inherit two alleles, each of which comes from the parent. Example: the result of a cross that is likely to produce 1 white allele and 1 purple allele. If there are two different alleles, one of them will be dominant, while the other will be recessive. Example: there is a marriage of purple flowers with white flowers, it will produce purple offspring.Learn more about Mendel's law https://brainly.com/question/23067535.
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Use the scatter plot to answer the question.
Ten athletes ran two races of the same length. The scatter plot shows their times. Select all statements that are true.
LOADING... Click the icon to view the scatter plot.
Question content area bottom
Part 1
Select all that apply.
A.
Eight of the times for the second race were less than 15 seconds.
B.
Nine of the times for the first race were at least 14 seconds.
C.
There were three athletes who had the same time in both races.
D.
There were two athletes whose times in the two races differed by exactly 1 second.
E.
There were four athletes who were faster in the second race than in the first.
The correct statement regarding the scatter plot is given as follows:
C. There were three athletes who had the same time in both races.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
The input and output variables for this problem are given as follows:
Input variable: time for the first race.Output variable: time for the second race.The points are given as follows:
(15, 15), (16, 15), (17, 15), (19, 15), (16, 16), (17, 16), (18, 16), (19, 16), (18, 18), (17, 19)
For example, the point (16, 15) means that the person took 16 seconds for the first race and 15 seconds for the second race.
Hence statement C is correct, as the points (15,15), (16, 16) and (18,18) means that there were three athletes who had the same time in both races.
Missing InformationThe scatter plot is given by the image presented at the end of the answer.
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A number between 55 and 101 multiple of 2, 6, and 8
Answer:72
Step-by-step explanation:
8x9=72
2x36= 72
12x6=72
One leg of a right triangle is decreasing at a rate of 555 kilometers per hour and the other leg of the triangle is increasing at a rate of 141414 kilometers per hour. At a certain instant, the decreasing leg is 333 kilometers and the increasing leg is 999 kilometers.
The rate of change of the area of the right triangle at that instant is -1.5 sq km/h.
Make ABC a right triangle with a right angle to B.
BC = x on the side decreasing be
with AB = y being the rising side.
After that, AC = z = (x² + y2) (using Pythagoras theorem)
Given that dx/dt is equal to -5 km/h and dy/dt is equal to 14 km/h
When x = 3 and y = 9, respectively.
currently, the triangle's area equals xy/1/2.
A = 1/2 xy
dA/dt = 1/2 (y) (y).
dy/dt = dx/dt + x/2.
by inserting the values at x = 3 and y = 9,
(dA/dt) = 1/2 (9)(-5) + 3/2 (14) (14)
= -1.5
As a result, the right triangle's area is changing at a rate of -1.5 sq km/h at the moment when x=3 and y=9.
Your question is incomplete but most probably your full question was
One leg of a right triengle is decreasing at a tate of 5 kilometers per hour and the other leg of the triangle is increasing at a rete of 14 kilometers per hour. Ara certain anstant the decreasing leg is 3 kilometers and the increasing leg is 9 kilometers. What is the rate of change of the area of the right triangle at that instant (in square kilometers per hour)? 11 e 111 01.5 -1.5 Stuck?
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One angle of a triangle measures 70°. The other two angles are in a ratio of 4:7. What are the measures of those two angles?
The measure of the other two angles are 88 degrees and 22 degrees.
Let's call the two unknown angles x and y. Since the sum of all angles in a triangle is 180 degrees, we have:
x + y + 70 = 180
We also know that the ratio of the two angles is 4:7. We can set up a proportion to express this relationship:
x/y = 4/7
We can cross-multiply to get:
7x = 4y
We can substitute this equation into the first equation to eliminate one of the variables.
7x + y + 70 = 180
Now we have:
7x + y = 110
We can use the second equation to eliminate x:
7(4y/7) + y = 110
4y + y = 110
5y = 110
y = 22
Now that we know one of the angles is 22 we can substitute it back in the first equation
x+22+70 = 180
x = 88
Therefore, the measures of the other two angles are 88 and 22 degrees
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PLEASE HELP ME I ONLY HAVE TODAY TO COMPLETE THIS ),:
What is the radical form of each of the given expressions?
Answer:
1. 7[tex]\frac{1}{2}[/tex] = [tex]\sqrt{7}[/tex]
2. 4[tex]\frac{7}{2}[/tex] = [tex]\sqrt{4} x^{7}[/tex]
3. 7[tex]\frac{1}{4}[/tex] = [tex]\sqrt[4]{7}[/tex]
4. 4[tex]\frac{1}{7}[/tex] = [tex]\sqrt[7]{4}[/tex]
Step-by-step explanation:
(A) 12n + 14m + 4 B) 2 (7n +3m + 7) c 3 (m + 4n+20) D) 14m + 12m + 4 CHECK ANSWER X 101 Use the expression 10m + 3 (n + 8) + 4 (m - 5) + 9n to find its simplified form Which expression is written correctly in standard form? Be sure to clear the parenthesis first and then combine like terms.
Answer:
"A) 12n + 14m + 4" would be the standard form.
Step-by-step explanation:
the expression written correctly in standard form would be "A) 12n + 14m + 4"
10m + 3(n + 8) + 4(m - 5) + 9n you need to first clear the parenthesis by applying distributive property:
10m + 3(n + 8) + 4(m - 5) + 9n = 10m + 3n + 24 + 4m - 20 + 9n
After that you combine like terms
= 10m + 4m + 3n + 9n + 24 - 20 = 14m + 12n + 4
"A) 12n + 14m + 4" would be the standard form.
Select all the correct answers. Janine needs to calculate the value of log, 81. Which expressions could she input into her calculator to find this value? a. In 81/12b. log 81/log 12 c. log 81/In 12d. log 12/log 81
Options A and B are the correct answers.
The exponent or power to which a base must be raised to yield a given number is called a logarithm.
x is the logarithm of n to the base b if bx = n, in which case one writes
x = logb n.
“The logarithm of a positive real number a with respect to base b, and a positive real number not equal to 1^[nb 1], is the exponent by which b must be raised to yield a”.
b^y=a ⇔logba=y
“a” and “b” are two positive real numbersy is a real number“a” is called an argument, which is inside the log“b” is called the base, which is at the bottom of the log.To calculate the value of log₁₂81 we use the formula of
log ab=logb/loga=ln b/ln a
log₁₂81=log₁₀81/log₁₀12
=log81/log12
Also, log e81=loge81/loge12
=ln81/ln12
So, choose log81/log12 and ln81/ln12
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Answer:
see photo, they change out answer order to look close. :-)
Step-by-step explanation:
Plato/Edmentum
PLEASE HELP!! 40 POINTS!!
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 20 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
Which graph represents this situation?
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 20 through the point 1 comma 30
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 20 through the point 1 comma 10
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point 1 comma 30
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point one half comma zero
Answer:
the second option
Step-by-step explanation:
y=mx+c
therefore y=10x+20
20 is the y intercept, 10 is the gradient
Maria’s height is 134 centimeters. What is her height in meters?
m
Answer:
There are 100 centimeters in 1 meter, so Maria'e height in meters would be:
1 meter and 36 centimeters, tall.
Step-by-step explanation:
Hope it helps! =D
Use method of reduction of order to find a second solution y2(x) of the homogeneuos equation and a particular solution of the given nonhomogeneous equation:
y" - 4y = 2; y1 = e^-2x
Please use equation and not substitution
The homogeneous equation and a particular solution of the given nonhomogeneous equation is [tex]& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}[/tex].
The given nonhomogeneous equation is y" - 4y = 2
We are given [tex]$y_1=e^{-2 x}$[/tex]
Let [tex]$y_2=u y_1$[/tex]
A linear differential equation is homogeneous if it is a homogeneous linear equation in the unknown function and its derivatives.Non-homogeneous differential equations are simply differential equations that do not satisfy the conditions for homogeneous equations. In the past, we’ve learned that homogeneous equations are equations that have zero on the right-hand side of the equation.
The two most common methods when finding the particular solution of a non-homogeneous differential equation are:
The method of undetermined coefficients. The method of variation of parameters.[tex]$$\begin{aligned}& y_2=u e^{-2 x} \\& y_2^{\prime}=u^{\prime} e^{-2 x}-2 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-2 u^{\prime} e^{-2 x}-2 u^{\prime} e^{-2 x}+4 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}\end{aligned}$$[/tex]
Substitute in [tex]$y^{\prime \prime}-4 y=0$[/tex], we get
[tex]$$\begin{aligned}& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}-4 u e^{-2 x}=0 \\& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}=0 \\& e^{-2 x}\left(u^{\prime \prime}-4 u^{\prime}\right)=0 \\& u^{\prime \prime}-4 u^{\prime}=0 \\& u^{\prime \prime}=4 u^{\prime}\end{aligned}$$[/tex]
Substitute [tex]$$u^{\prime}=v$ and $u^{\prime \prime}=v^{\prime}$[/tex], we get
[tex]$$\begin{aligned}& v^{\prime}=4 v \\& \frac{d v}{d x}=4 v \\& \frac{1}{v} d v=4 d x\end{aligned}$$[/tex]
Integrate both sides, we get
[tex]$u=\frac{1}{4} C_1 e^{4 x}+C_2$$[/tex]
put in [tex]$y_2=u y_1$[/tex]
[tex]$$y_2=\left(\frac{1}{4} C_1 e^{4 x}+C_2\right) e^{-2 x}$$[/tex]
Choose [tex]$$C_1=4$ and $C_2=0$[/tex], we get
[tex]$$y_2=e^{2 x}$$[/tex]
[tex]$$\begin{aligned}& y_c=c_1 y_1+c_2 y_2 \\& y_c=c_1 e^{-2 x}+c_2 e^{2 x}\end{aligned}$$[/tex]
Particular Solution
[tex]$$\begin{aligned}& y_y=A \\& y_y{ }^{\prime}=0 \\& y_y{ }^{\prime \prime}=0\end{aligned}$$[/tex]
Substitute in [tex]$y^{\prime \prime}-4 y=2$[/tex], we get
[tex]$$\begin{aligned}& 0-4 A=2 \\& -4 A=2 \\& A=-\frac{1}{2} \\& \therefore y_y=-\frac{1}{2}\end{aligned}$$[/tex]
General Solution
[tex]$$\begin{aligned}& y=y_6+y_y \\& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\end{aligned}$$[/tex]
Therefore, the second equation is [tex]& y_{2} =c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}[/tex].
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Write the rule for the linear function I will give brainliest
Answer:
2
Step-by-step explanation:
The rule is multiplying by 2 every time
-2 times 2 is -4
0 times 2 is 0
2 times 2 is 4
y = 5x - 9
y = 5x + 9
Solve with substitution but i need the steps
Function or not a function?
do -3 and 4 and -1 and 12 have a positive sum
Answer:
Yes, they do because -3+4=1 and -1+12=11
Step-by-step explanation:
Hope it helps!
Answer: If you mean + then, 12
Step-by-step explanation:
-3 + 4 = 1 -1 + 1 = 0 0 + 12 = 12
How do you find a prime number multiples?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number can only be divided evenly by 1 and itself.
To find the multiples of a prime number, you can use the following steps:
Start with the prime number itself. This is the first multiple of the prime number.Multiply the prime number by 2. This will give you the second multiple of the prime number.Multiply the prime number by 3. This will give you the third multiple of the prime number.Repeat step 3 for larger and larger integers (4,5,6,7,8....) until you reach the desired number of multiples.For example, if the prime number is 5, the multiples of 5 are 5, 10, 15, 20, 25, and so on.
It's important to note that a prime number only has two divisors: 1 and itself. This means that a multiple of a prime number will never be a prime number.
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100 points
solve each system by graphing
x-y=-2
and
4x-y=4
Answer:
(2, 4)------------------------
Given system:
x - y = -24x - y = 4Rewrite equations to bring to slope-intercept form:
y = x + 2 andy = 4x - 4Plot each line and find the intersection, this is the solution.
The solution is (2, 4) as per attached graph.
help please i need answers
The expressions that have a sum or difference equal to 3/4 are:
11/12 - 1/6 3/5 + 3/202/3 + 1/12The correct options are B, C, and E
What are sums and differences?
Sum mean the addition of numbers or expression
Difference means the subtraction of numbers or expressions.
The sum or difference of the number are as given below:
a. 1/2 + 2/4 = 4/4
b. 11/12 - 1/6 = (11 - 2) / 12
11/12 - 1/6 = 9/12
9/12 = 3/4
c. 3/5 + 3/20 = (12 + 3)/20
3/5 + 3/20 = 15/20
15/20 = 3/4
d. 7/8 - 1/2 = (7 - 4)/8
(7 - 4)/8 = 3/8
e. 2/3 + 1/12 = (8 + 1)/12
(8 + 1)/12 = 9/12
9/12 = 3/4
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In ΔTUV, t = 70 inches, mm∠T=99° and mm∠U=53°. Find the length of u, to the nearest inch.
The length of u is 56.60 inches. The nearest inches it is 57 inch
What is a triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.
Given that ΔTUV is a triangle with m∠T=99° and m∠U=53°.
The length of t is 70 inches.
The opposite side of ∠T is t, the opposite side of ∠U is u, and the opposite side of ∠V is v.
Sine rule of ΔABC:
a/sin A = b/sin B = c/sin C
Apply sine law in ΔTUV:
t/sin T = u/sin U = v/sin V
Putting ∠T=99°, ∠U=53°, and t = 70.
70/ sin 99° = u/sin 53°
u = (70sin 53°)/ sin 99°
u = 56.60 inches
The digit after the decimal point is greater than 5, thus add 1 with the 56 to get the nearest inch.
u = 57 inches
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I Need help asap, This is due in less than an hour!!
Can you please copy and paste it here?
-
I cannot read it clearly.
Draw number line to show the following
0>x≥5
Two angle measures of this triangle are 60°. Which type of triangle is it?
A.
obtuse
B.
scalene
C.
equilateral
D.
right
Answer: C. Equilateral
Step-by-step explanation:
Answer: option C is correct. two angle measures of an equilateral triangle is 60°
Step-by-step explanation: All the sides of an equilateral triangle are of equal lengths—each interior angle of this triangle measures 60°.
Classify this pair of events: A flavor of ice cream is selected at random; A
topping for the ice cream is selected at random.
A. independent
B. dependent
A A flavor of ice cream is selected at random; A topping for the ice cream is selected at random. This is B. dependent events.
What are dependent event?Events that are dependent upon prior events are called dependent events. The results of earlier events have an impact on these current ones. For example, two or more events that are interdependent are referred to as dependent events.
If one event is accidentally altered, another is probably going to be different.
If two events are interdependent, then the result of the first event will influence the result of the second even more.
The ice cream in this case represented dependent event.
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which of these 3 diagrams are correct
Is it possible to have a triangle with sides 2cm 2cm and 5cm justify your answer?
Answer:
No, it is not possible to have a triangle with sides of 2cm, 2cm, and 5cm. This is because a triangle's sides must adhere to the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 2cm + 2cm (4cm) is not greater than 5cm, so it is not possible to form a triangle with these side lengths.
Step-by-step explanation:
Answer:
Yes u can
Step-by-step explanation:
U can create a triangle with that because 2+2 is 4 which is less than 5 meaning it would work as a triangle
8+5x=-2
show work
check
which of the following is not the solution of 3x+6y=12?A) (-4,4) B) (0,2)C) (8,-2)D) (3,1)
(3,1) is not the solution of the equation 3x + 6y = 12. So the option D is correct.
In the given question, we have to check which of the following is not the solution of 3x+6y=12.
To check which is not the solution of the given equation, we put the value of x and y from the given point. If for any point the condition is true then that point is the solution of the given equation. If that point doesn't satisfy the condition then that point is not the solution of the given equation.
The given equation is 3x+6y=12.
Firstly we check for the point (-4,4), where x = -4, y = 4
3(-4) + 6(4) = 12
-12 + 24 = 12
12 = 12(True)
Now we check for the point (0,2), where x = 0, y = 2
3(0) + 6(2) = 12
0 + 12 = 12
12 = 12(True)
Now we check for the point (8,-2), where x = 8, y = -2
3(8) + 6(-2) = 12
24 - 12 = 12
12 = 12(True)
Now we check for the point (3,1), where x = 3, y = 1
3(3) + 6(1) = 12
9 + 6 = 12
15 = 12(False)
Hence, (3,1) is not the solution of the equation 3x + 6y = 12. So the option D is correct.
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What are the 4 parts of a polygon?
The four parts of a polygon are: sides, vertices, diagonals, and interior angles.
What is polygon?Polygon is a closed figure in a plane made of of straight line or curved line that insert in pairs a polygon has at least three side of angle the height can be of any length and the angle can be of any measure polygon or classified according to the number of side they have such as triangle.
A polygon is a closed, two-dimensional shape with three or more straight sides. The four parts of a polygon are: sides, vertices, diagonals, and interior angles. The sides are the straight line segments that make up the shape. The vertices are the points where the sides meet. The diagonals are line segments joining any two non-adjacent vertices. The interior angles are the angles inside the polygon, which are determined by the number of sides the polygon has.
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