The yearly tuition without a scholarship in the school is $8000.
What is a percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Let the normal value be represented by x.
Since Sierra earned a scholarship to her state's University and pay 35% less for her tuition than the original cost, this will be:
x - (35% × x) = 5200
x - 0.35x = 5200
0.65x = 5200
Divide
x = 5200/0.65
x = 8000
The fee is $8000.
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Robins 15 18 27 30 cardinals 5 6 9 10 what’s the proportionality ratio of robins to cardinals
Answer:
3:1
Step-by-step explanation:
The Robins' numbers are 3 times the cardinal's numbers, so therefore when simplified, the ratio is 3 to 1, 3:1, or 3/1.
These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x= 7 to x = 8?
X
0
1
23
4
5
6
y
-1
-2
-5
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
679
-11
3-2
0-2
0-2
0-2
3-2
d
The average rate of change for the interval from x = 7 to x = 8 is 35.
To calculate the average rate of change for the interval from x = 7 to x = 8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.
Let's calculate it step by step using the given table
For the interval from x = 7 to x = 8 x1 = 7, y1 = -37 x2 = 8, y2 = -2 Difference in y- values Δy = y2- y1 = -2-(- 37) = 35
Difference inx-values Δx = x2- x1 = 8- 7 = 1
Average rate of change = Δy/ Δx = 35/ 1 = 35
Thus, the average rate of change for the interval from x = 7 to x = 8 is 35. Note: It's important to mention that the values calculated then are grounded solely on the given data. Please insure you corroborate the delicacy of the handed data and environment before using the answer in any important or critical operations.
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a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
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ax-5a+4x-20
a(x-5)+2(2x-10)
Answer:
To get from ax-5a+4x-20 to a(x-5)+2(2x-10). You had to of found a common factor.
Another (better) way to simply this would be finding the greatest common factor.
a(x-5)+4(x-5)
(a+4)(x-5)
The answer to this problem please and thank you
Answer:
C
Step-by-step explanation:
The red dotted line we see is the asymptote, which is a line that the functions will never cross.
The asymptotes we see currently is:
x = -3
and
x = 2
We can find the vertical asymptotes using the denominator of the function since the x value that makes the denominator 0 is the asymptote. Since -3 and 2 is the asymptote, the denominator of the function will be:
(x-2) (x+3)
If we look at the answer choices, we can see that C is the only option with a denominator of (x-2)(x+3), so that is our answer.
Answer:
C
Step-by-step explanation:
there are 2 vertical asymptotes at x = - 3 and x = 2
then the factors on the denominator will be (x + 3) and (x - 2)
then
f(x) = \(\frac{1}{(x-2)(x+3)}\)
The table below shows the number of students who are signed up for Algebra 2 and/or Chemistry next year. Find P(Algebra 2 ∩ Not Chemistry).
The probability of a student being signed up for Algebra 2 but not Chemistry is 0.54 or 54%.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.
According to question:To find P(Algebra 2 ∩ Not Chemistry), we need to look at the number of students who are signed up for Algebra 2 but not Chemistry. From the table, we can see that there are 260 students who are signed up for Algebra 2 and not Chemistry.
P(Algebra 2 ∩ Not Chemistry) = number of students signed up for Algebra 2 and not Chemistry / total number of students
= 260 / 480
= 0.54
Therefore, the probability of a student being signed up for Algebra 2 but not Chemistry is 0.54 or 54%.
So the answer is 0.54.
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620 is invested in an account earning 5.5%interest APR, compounded quarterly. Write a function showing the value of the account after t years
Answer:
Y=620×((1+(0.055÷4))^(4t)
Step-by-step explanation:
Y=X ((1+(r/n))^(nt)
Y future value
X present value 620
R interest rate 0.055
N compound quarterly 4
T time
Pls can y’all tell me how many points will Tessa have scored in all ?
Answer: 48 points
Step-by-step explanation:
i hope this helps
An exponential function f(x) = ab passes through the points (0, 7000) and (3, 7). What are the values ofa and b?a=b=
a = 7000
b = 1/10
Explanation:An exponential function is of the form:
\(f(x)=ab^x\)The given points:
(0, 7000) and (3, 7)
Form two equations and solve for a and b
\(\begin{gathered} f(x_1)=ab^{x_1}...........(1) \\ \\ f(x_2)=ab^{x_2}.............(2) \end{gathered}\)Substitute x₁ = 0, f(x₁) = 7000, x₂ = 3, f(x₂) = 7 into the two equations
\(\begin{gathered} 7000=ab^0 \\ \\ 7000=a(1) \\ \\ a=7000 \end{gathered}\)Substitute x₂ = 3, f(x₂) = 7, and a = 7000 into equation (2)
\(\begin{gathered} 7=7000b^3 \\ \\ \frac{7}{7000}=b^3 \\ \\ \frac{1}{1000}=b^3 \\ \\ b=\sqrt[3]{\frac{1}{1000}} \\ \\ b=\frac{1}{10} \end{gathered}\)a = 7000
b = 1/10
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The correct statement regarding the angle measures is given as follows:
m < 1 + m < 4 > m < 3.
How to obtain the angle measures?The given angle measure is as follows:
m < 3 = 119º.
Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.
Hence the measure of angle 4 is given as follows:
m < 4 + m < 3 = 180º.
m < 4 = 180º - 119º
m < 4 = 61º.
Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:
m < 1 = m < 4
m < 1 = 61º.
Hence:
m < 1 + m < 4 = 2 x 61
m < 1 + m < 4 = 122º
122º > 119º
m < 1 + m < 4 > m < 3.
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How tall is a pole if a 40 ft guy wire reaches from the top of that pole
to a point on the ground 19 ft from the bottom of the pole?
Venity it (6,-3) is a solution to the system of equations. Is the ordered pair a solution to the system?
Yes, because there are infinite solutions to the
system of equations.
No, because substituting these values into the first
y=-x+1
equation creates a false statement.
Yes, because substituting these values into both
equations forms two true statements.
No, because substituting these values into the
second equation forms a false statement.
Intro
Done
Answer: c
Step-by-step explanation:
i got it right
Answer:
C) Yes, because substituting these values into both equations forms two true statements.
Step-by-step explanation:
Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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The histogram represents the time it takes employees to get to work each morning.
Which statement correctly describes the data?
The data is skewed left because the time it takes employees to get to work tails off to the left.
The data is skewed left because the time it takes employees to get to work tails off to the right.
The data is skewed right because the time it takes employees to get to work tails off to the right.
The data is skewed right because the time it takes employees to get to work tails off to the left.
Answer:
The answer is C. The data is skewed right because the time it takes employees to get to work tails off to the right.
Step-by-step explanation
Answer:
c
Step-by-step explanation:
it make more sense
X-3>7 what is the answer to this problem?
Answer:
X>10
Step-by-step explanation:
An initial amount of $2100 is invested in an account at an interest rate of 7% per year, compounded continuously. Assuming that no withdrawals are made, find the amount in the account after two years. Do not round any intermediate computations, and round your answer to the nearest cent.
By answering the given question, we may state that The balance exponents in the account after two years, rounded to the nearest cent, is $2416.30.
what are exponents?Exponentiation, also referred to as "b raised to the nth power," is a mathematical operation that involves two numbers: a base number, b, and an exponent, or power, n. It is represented by the sign bn. A number's exponent reveals how many times it has been multiplied by itself. For instance, the number 2-3 (written as 23) means 2 × 2 x 2 = 8. 2 + 3 = 6 does not equal 23. Remember that an integer multiplied by one equals itself.
With an account with an initial principal of P and an interest rate of r compounded continuously for t years, the amount A is calculated using the following formula:
\(A = Pe^{(rt) (rt)}\)
where e is a mathematical constant that is roughly 2.71828 in size.
We may calculate the balance in the account after two years by using the following formula:
\(A = 2100e^{(0.072) (0.072)}\\A = 2100e^{(0.14) (0.14)}\\A = 21001.15062\\A = 2416.30\)
The balance in the account after two years, rounded to the nearest cent, is $2416.30.
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A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
What is the actual distance between River City and Pine Bluff?
Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 3 years
3 years: 1,591.81 or 1,592
4 years: 1,623.65 or 1,624
Please Help
Starr drives 495 miles in 9 hours. How many miles does Starr drive in 15 hours? 825 miles 975 miles 1,040 miles 1,375 miles
Answer:
825 miles
Step-by-step explanation:
Divide starting number by nine to get 55. Then multiply 55 by 15 to get 825 miles
Answer:
A 825
Step-by-step explanation:
Dividing fractions word problem,
I need your help, yes you!
Answer: 2
Step-by-step explanation:
Answer:
I think it's 2kg
Step-by-step explanation:
13/5 ÷ 13/10
Reciprocate
13/5 × 10/13
= 26/13
=2kg
ANSWER AS QUICK AS POSSIBLE WILL GET BRAINIEST!!!!!
:Which equation can be used to calculate the area of shaded triangles in the figure below:
A, 2 (12 x 4) = 96 feet.
B, 1/2 (12 x 4) = 24 square feet.
C, 2(12+4)=32 square feet
D, 1/2(4+12)= 8 square feet
Answer: da vinkiy
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4 x 12
then divide by 2
which can also be known as mult 1/2
11. When calculating the discriminant, Isabel got -4 as an answer. She checked her work and it came out to -4
again. What does she know about the roots of the Quadratic?
Answer:
no real roots
Step-by-step explanation:When the discriminant is less than zero, there are no real roots
Meeko insurance offers an annuity with a minimum interest rate of 4% for the next five years. You decide to invest 1000 into his account. what type of annuity is this?
a.single-payment fixed annuity
b.recurring-payment fixed annuity
c. recurring-payment variable annuity
D.single-payment variable annuity
Answer:
single payment variable annuity
Step-by-step explanation:
Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.
To find : What type of annuity is this?
Solution :
Annuity is the form of insurance in which some of the money is paid each year to secure for future.
There are two types of annuity:
Single payment variable annuity - In this annuity the payment is made at the end of each period over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.
Annuity due - is the opposite of single payment variable annuity as in this the payment is made at the beginning of each period.
In the given situation the annuity is single payment variable annuity because the investment is done each year for 5 years.
Don’t know how to solve with the -1 before the x
ANSWER and EXPLANATION
We are given a function and its inverse function:
\(\begin{gathered} f(x)=\frac{1}{2}x \\ f^{-1}(x)=2x \end{gathered}\)To solve the problems, we have to substitute the values of x in the brackets into the appropriate function (or inverse function).
Therefore, we have that the value of the function for x = 2:
\(\begin{gathered} f(2)=\frac{1}{2}\cdot2 \\ f(2)=1 \end{gathered}\)For x = 1, we have that the value of the inverse function is:
\(\begin{gathered} f^{-1}(1)=2(1) \\ f^{-1}(1)=2 \end{gathered}\)For x = -2, we have that the value of the inverse function is:
\(\begin{gathered} f^{-1}(-2)=2\cdot-2 \\ f^{-1}(-2)=-4 \end{gathered}\)For x = -4, we have that the value of the function is:
\(\begin{gathered} f(-4)=\frac{1}{2}\cdot-4 \\ f(-4)=-2 \end{gathered}\)For the fifth option, substitute the value of the function at x = 2 into the inverse function.
That is:
\(\begin{gathered} f^{-1}(f(2))=f^{-1}(1)=2\cdot1 \\ f^{-1}(f(2))=2 \end{gathered}\)For the sixth option, substitute the value of the inverse function at x = -2 into the function.
That is:
\(\begin{gathered} f(f^{-1}(-2))=f(-4)=\frac{1}{2}\cdot-4 \\ f(f^{-1}(-2))=-2 \end{gathered}\)To find the general form of the function:
\(f^{-1}(f(x))=f(f^{-1}(x))\)either substitute the function for x in the inverse function or substitute the inverse function for x in the function.
Therefore:
\(\begin{gathered} f^{-1}(f(x))=2(\frac{1}{2}x)) \\ f^{-1}(f(x))=x \end{gathered}\)That is the answer.
A pizza place has 15 different toppings listed for its customers to choose from. How many different pizzas can be made with 5 toppings each, without repeating the toppings?
Answer:
3 pizzas
Step-by-step explanation:
15 divided by 5 is 3.
Which elephants weight is 2.85 tons when rounded to the nearest hundreth
Answer:
2.849
Step-by-step explanation:
Which elephants weight is 2.85 tons when rounded to the nearest hundreth
If 2.85 will round into nearest hundredth it will be 3.00_____________________KAntoneDoix (^_^)I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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dont GET THIS HELP!!!!!!!!!
Answer:
Ellen have left 56 glasses to wash.
Step-by-step explanation:
Given that:
Number of glasses to be washed = 175
Percentage of glasses Ellen washed = 68%
Number of glasses Ellen washed = \(\frac{68}{100}*175\)
Number of glasses Ellen washed = 119
Number of glasses left = Total glasses - Number of glasses washed
Number of glasses left = 175 - 119 = 56
Hence,
Ellen have left 56 glasses to wash.
what is the square root of 547
We can estimate the square root to be between 23 and 24 by hand, and using a calculator we can see that the exact value is 23.388
How to get the square root of 547?
Let's solve this without using a calculator.
To check this, we can just take integer numbers and square them and see which one gives an outcome equal to or closer to 547.
For example, if we start with 20 we get:
20*20 = 400
Let's go higher, if we take 23:
23*23 = 529
The next one is 24:
24*24 = 576
Then we can estimate:
√529 < √547 < √576
23 < √547 < 24
So our number is between 23 and 24, now using a calculator we can get the exact value:
√547 = 23.388
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