Answer:
Antoinette's parents paid $ 70000 by the time she left the school.
Step-by-step explanation:
Antoinette's parents paid at the beginning ([tex]t = 0[/tex]) $ 6230, and each year paid annual fees including increases seven times. ([tex]0 <t \leq 7[/tex]) We find that annual fee paid at a given year is represented by the following formula:
[tex]C(t) = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex]
Where:
[tex]C_{o}[/tex] - Initial annual fees, measured in US dollars.
[tex]C(t)[/tex] - Current annual fees, measured in US dollars.
[tex]r[/tex] - Yearly increase rate, dimensionless.
If we know that [tex]C_{o} = \$\,6230[/tex] and [tex]r =9.5[/tex], first 8 annual fees paid by Antoinette's parents are:
[tex]C(0) = \$\,6230[/tex]
[tex]C(1) =\$\,6821.85[/tex]
[tex]C(2) = \$\,7469.93[/tex]
[tex]C(3) = \$\,8179.57[/tex]
[tex]C(4) = \$\,8956.63[/tex]
[tex]C(5) = \$\,9807.51[/tex]
[tex]C(6) = \$\,10739.22[/tex]
[tex]C(7) = \$\,11759.45[/tex]
Now, we sum each yearly fees to determine the total paid by Antoinette's parents when she leaves the school at the end of the 8th year.
[tex]C_{T} = C(0) +C(1)+C(2) + C(3)+C(4)+C(5)+C(6)+C(7)[/tex]
[tex]C_{T} = \$\,6230+\$\,6821.85+\$\,7469.93+\$\,8179.57+\$\,8956.63+\$\,9807.51+\$\,10739.22+\$\,11759.45[/tex]
[tex]C_{T} = \$\,69964.16[/tex]
Antoinette's parents paid $ 70000 by the time she left the school.
4n + 3 < 6n + 8 - 2n
Pls solve in steps
Answer:
All real numbers would be the correct answer.
Step-by-step explanation:
First of all, add 6n to -2n which now the equation would be 4n+3 < 4n+8.
Now, subtract 4n to both sides and subtract 3 to both sides. Now you will have 0n < 5 which will be all real numbers.
How can ΔWXY be mapped to ΔMNQ?
Triangles W X Y and M N Q are shown. The lengths of sides M N and W X are 18 centimeters. The lengths of sides Y W and M Q are 30 centimeters. Angles Y W X and N M Q are congruent. Triangle W X Y is slightly up and to the right of triangle M N Q. Angle Y W X is the bottom angle and angle N M Q is the left angle.
Translate vertex W to vertex M, then reflect across the line containing _______________.
Answer:
A. WX
Step-by-step explanation:
May I have brainliest please? :)
Triangle WXY can be mapped to triangle MNQ by:
Translating vertex W to vertex M.Then, reflect ΔWXY across the line containing line segment WX.What is transformation?Transformation involves changing the size and the position of a shape
From the figure (see attachment), we have the following highlights
Both triangles are not on the same height (i.e. translation is required)Both triangles are not on the same orientation (i.e. one of the triangles need to be reflected)Hence, Triangle WXY can be mapped to triangle MNQ by translating vertex W to vertex M, and then, reflecting ΔWXY across the line containing line segment WX.
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6.
Consider the equation:
4(2 + px) = 12x
For what value of p does the equation have no solution?
A 1
B. 3
C 12
D. 48
Answer:
p = 3
Step-by-step explanation:
Given
4(2 + px) = 12x
If the coefficient of the x- term is the same on both sides of the equation, it will have no solution.
Distributing gives
8 + 4px = 12x ( equate the coefficients of the x- term )
4p = 12 ( divide both sides by 4 )
p = 3
The value of p when the equation has no solution will be 3. Then the correct option is B.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
4(2 + px) = 12x
8 + 4px = 12x
If the coefficient of the x-term is the same on both sides of the equation, it will have no solution.
4p = 12
p = 3
The value of p when the equation has no solution will be 3. Then the correct option is B.
More about the linear equation link is given below.
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Before beginning voice lessons, Katie already knew how to sing 7 pieces, and she expects to
learn 2 new pieces during each week of lessons. Write an equation that shows the
relationship between the number of weeks x and the number of pieces learned y.
Write your answer as an equation with y first, followed by an equals sign.
Please solve ASAP this is timed. Giving 15 points!!! Thank you so much!!!!!!
Thanks for asking your question!
Have more questions? Just ask!
Answer:
7y +2x
Let x = the number of weeks
Hope this helps!
Determine if segments JK and LM are parallel, perpendicular, or neither.
J(-10, -7) K(-4, 1) L(-1, 1) M(-6, -2)
Answer:
perpendicular
Step-by-step explanation:
the lines meet together
Convert 250 pesos to U. S. dollars. The exchange rate is 9.99 pesos per U. S. dollar.
options
a. $30.02
b. $240.01
c. $259.99
d. $25.03
e. $2497.50
HELP NEEDED RIGHT AWAY PLS DUE NOW!!!!
Answer:
D
Step-by-step explanation:
250/9.99=25.0250... Round it to 25.03
The required converted value is $25.03, which is 250 pesos to U. S. dollars.
As we all know, unit conversion is the process of multiplying a provided quantity by a conversion factor that combines the two interconnected units.
To convert 250 pesos to U.S. dollars, we divide the amount of pesos by the exchange rate.
Here, the exchange rate is given as 9.99 pesos per U.S. dollar.
It is the process of assigning a quantity from one unit of measurement to another.
250 pesos / 9.99 pesos per U.S. dollar = 25.025 U.S. dollars
Rounding this to two decimal places, the conversion is approximately $25.03.
Therefore, the correct option is (d) $25.03.
Learn more about the conversions here:
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Match each statement (term) with its value in relation to 0 (definition).
Match Term Definition
A building is 37 feet tall. A) –25
The scuba diver was 37 feet below sea level. B) −37
The basement is 13.7 feet below ground. C) 37
Oliver owes his sister $25. D) –13.7
Erica jumped 2.5 feet above the ground. E) 2.5
Answer: The answer is C. The rest of the answers make no sense and do not work.
Step-by-step explanation:
The answer is C
A b and D are all incorrect
Answer:
gsatygrdfyuhtzrtftsrvg
Step-by-step explanation:
gay
I just need it simplified, thank you!
4>-x/4
Answer:
x>-16
Step-by-step explanation:
First
4> -x/4
switchsides
-x/4<4
then multipy both sides by 4
4(-x/4)<4*4
then multipy bothsides by -1 and reverse the inequality
(-x)(-1)> 16(-1)
Marquise, Bron'Tavious, and
JayDarius each have a shoe collection of Nike Air
Vapor Max shoes. Marquise has two times as
many pairs of shoes than Bron'Tavious and
JayDarius have fifteen more pairs of shoes than
Bron'Tavious. All together they have ninety-five
pairs of shoes. (a) How many pairs of shoes does
Marquis have? (b) How many pairs of shoes does
Bron'Tavious have? (c) How many pairs of shoes
does JayDarius have? Provide evidence and how
you got your answer.
Answer:
i dont understand the question
Step-by-step explanation:
What is a polygon? explain (please help)
Answer:
In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape with straight sides. It does not have curved sides..
Answer:
a polygon is a plane figure with at least 3 straight sides and angles, typically 5 or more. its a closed shape meaning that there is no spots in the shape where the lines don't connect
2.1.28
Write the equation of the line that passes through the given points.
(0.4) and (-2, -3)
The equation of the line is
(Simplify your answer. Type your answer in slope-intercept form. Use integ
What’s the answer
Answer:
The equation of the line is y - 4 = 7/2 ( x - 0 )
Step-by-step explanation:
If you need it in slope intercept form (y=mx+b)
y=7/2x+4
3 quarts of apples juice for $3.59 OR 1 gallon (4 quarts) of apple juice for $3.99
Answer:
1 gallon is the better deal
Step-by-step explanation:
If you divide 3.99/4 you get 0.9975. Therefore, a quart of apple juice costs 0.9975. If you divide 3.59/3, you get 1.19 which is more expensive than 0.9975. The answer is 1 gallon of apple juice for 3.99 is the better deal.
An object with increasing acceleration is also increasing in which other property?
mass
velocity
temperature
volume
Answer:
The answer is Velocity
Step-by-step explanation:
I just took the test and it was the right answer.
SOMEONE HELP I CANT FAIL
Answer:
40
Step-by-step explanation:
He can do 8 problems in 5 minutes. 25 minutes is 5 times more than 5. 8 times 5 is 40
Answer:
40 problems
Step-by-step explanation:
8 divided by 5 equals 1.6 meaning in one minute there are 1.6 problems answered, and so 1.6*25= 40. Meaning that there are after 25 minutes 40 problems will be solved.
I need help please (18 points)
Answer:
128
Step-by-step explanation:
What is an equivalent ratio to 9/15?
Answer:
the answer is 3/5
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
I’m just different
It would be a BLESSING if you guys could do this for me. I have a lot of work today, and math isn't helping
Answer:
its a)
Step-by-step explanation:
This answer is a) because 8/3 radio drink mix is a)
Hope this helps . ;D
i need help;-; Like 25 points or something
Answer:
28.26
Step-by-step explanation:
area of a circle formula:
[tex]\pi \times r^{2} [/tex]
since we substitute pi for 3.14 it would be 3.14×(3)^2
3^2=9
9×3.14=28.26
Answer:
28.26
Step-by-step explanation:
hope this helps
If three boxes of pasta cost $5.79, find the cost of 22 boxes.
Answer:
Step-by-step explanation:
3 boxes of pasta --> $5.79
1 box of pasta --> $5.79/3=$1.93
22 boxes of pasta --> $1.93 x 22 =$42.26
The slope of a line is -1/5 and the y-intercept is 5. What is the equation of the line written in slope-intercept form? Type the equation in the space provided. Be sure to use the slope-intercept form noted in the lesson.
Answer:
y= -1/5x + 5
Step-by-step explanation:
An easy way to remember which one is the slope and which one is the intercept in a slope-intercept equation is that the number next to x is always the slope and the number that's a loner is the y-intercept. Hope this helps!
If y(x) = 4x, what is x when y(x) = 4?
2
1
0
4
Answer:
If y(x) = 4x, what is x when y(x) = 4?
=4
Somebody please help ASAP!!!
Complete the long division problem on your own sheet of paper. Then, fill in the digits.
47 dived by 9598 do the whole problem
Answer:
204 Remainder 10 / 204 10/47
Step-by-step explanation:
Answer:
0 2 0 4
4 7 9 5 9 8
− 0
9 5
− 9 4
1 9
− 0
1 9 8
− 1 8 8
1 0
Step-by-step explanation:
the answer is 10
-5/x= 2/6
those are fractions btw
Line m contains the points A (-2,1) and B (4, -3).
Line n contains the points C (-1,-4) and D (3,2).
Answer:
Line m = -2/3x - 1/3
Line n = 3/2x - 5/2
Step-by-step explanation:
Use point slope form: y - y1 = m(x - x1)
I need help pleasseseeee
Answer:
D, 110$
Step-by-step explanation:
According to the systematic function, given that the bill as a function is equal to one tenth the quantity of x for kilowatt hours less than or equal to 200, and three twentieths of 200 less than the quantity of x plus 20 for kilowatt hours greater than 200. The answer is 110$ because the question gives us a measure of kilowatts greater than 200 so the second equation is used in the system. Therefore .15(800-200) + 20 = b(800), (.15)600 +20 = 90 + 20 = 110
The microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter. How is this number expressed in standard form
F 0.000000009
F , 0.000000009
G 0.0000000009
G , 0.0000000009
H 9,000,000,000
H , 9,000,000,000
J 900,000,000
Answer:
i think j
if i am wrong sory i am
Step-by-step explanation:
The correct answer to the following question will be 0.000000009 so answer (F) will be correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given,
Diameter of structure = 9 × 10⁻⁹ meter
Multiply and divide by 10⁹
Diameter of structure = 9 × 10⁻⁹ × 10⁹/ 10⁹
By the law of indices
Diameter of structure = 9/10⁹
Diameter of structure = 0.000000009
Hence "The correct answer to the following question will be 0.000000009".
For more about the number system,
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Find the Median for 7, 4, 3, 5, 2, 4, 7. 9, 8
pls help me I’m rlly stuckkk
Answer:
49/9
Step-by-step explanation:
Answer:
It is 5. Put the numbers in order and the number in the middle would be 5.
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
X - y= 3
Answer:
Submit Answer
f(x) = 3 - 4x
What is f(-2)?
Answer:
f(-2) = 11
Step-by-step explanation:
f(x) = 3 - 4x
f(-2) = 3 - (4 × (-2))
f(-2) = 3 - (-8)
f(-2) = 11