A linear function that models the remaining amount he would have to repay is y =620 - 50x. The slope is -50 and the y-intercept is 620.
What is the linear function?A linear function is a function in which there is only one variable that is raised to the power of one. Linear functions usually have the form: mx + b.
Where:
x = slope b = y -interceptThe first step is to determine the amount that would be repaid each month: (620 - 320) / 6 = $50
The linear function: =620 - 50x.
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2. Triangle EFG is a sketch of a triangular community garden that has an area of 47.1 square feet.
Trigonometric area formula: Area = 1/2 a b sin(C)
To the nearest foot, what amount of fencing is needed to surround the
perimeter of the flower bed?
G E F E= 45 degrees EF=12ft F=62 degrees
Answer:
32ft
Step-by-step explanation:
Let me know if you have any questions ! (or my sketch is different)
everything was rounded to the nearest foot and due to this the new area is 49.5...
A consumer takes a loan of $150,000 to be repaid in monthly constant installments over 10 years. the nominal interest rate compounded monthly for this loan is 3.6331%.
Answer:
$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
seams very unrealistic lol
Answer:$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
Find the perimeter of the polygon round your answer to the nearest tenth.
Answers
A 37
B 38
C 39
D 40
SOMEBODY CAN YOU PLEASE HELP ME?!
Answer:
7.81
Step-by-step explanation:
I attached a drawing explaining how to use the Pythagorean theorem to solve this problem. Let me know if you have any questions!
3. Ramu finishes 1/3 part of a work in 1 hour. How much part of the work will be finished in 1 2/5 hours?
X
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1
a worker at the rainbow garden center planted multiple rows of flowers.
- there are 3 flowers in the first row.
- each of the remaining rows has 4 more flowers than the previous row.
determine the number of flowers in rows 20 and 35
row 20 has
flowers.
row 35 has
flowers.
i
Tony walks 1/3 of a mile to school each day. He also walks home from school. How many miles will he have walked in one five-day school week?
Answer:
3 1/3 miles per five day weekYou chose an EXPONENTIAL model with the equation:
y=4.04·0.56x
In the context of the tennis balls:
(1) What does 4.04 mean?
(2) What does 0.56 mean?
Equation: y = 4.04·0.56^x
(1) What does 4.04 mean?Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)
(2) What does 0.56 mean?Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)
Extra's :x represents the unit of measure of bounces.
General equation
y=ab^x#1
Here
a is 4.04So it represents the initial value where x is 0 as any number⁰ is 1#2
0.56 is bit's the rate of change with respect to xAn object is launched at an initial velocity of 19.6 meters per second from an initial height of 24.5 meters. which equation can be used to find the number of seconds it takes the object to hit the ground? 0 = –4.9t2 19.6t 24.5 0 = –4.9t2 24.5t 19.6 19.6 = –4.9t2 24.5t 24.5 = –4.9t2 19.6t
Check the picture below.
[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&19.6\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&24.5\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+19.6t+24.5\hspace{5em}\stackrel{\textit{when it hits the ground}}{0=-4.9t^2+19.6t+24.5}[/tex]
Answer:
A
Step-by-step explanation:
A bookstore classifies its books by reader group, type of book, and cost. What is the probability that a book selected at random is a child’s book, given that it costs $15?
< $10 > $10
Child Fiction 120 255
Nonfiction 35 60
Adult Fiction 200 110
Nonfiction 75 150
A. 3151005
B. 4701005
C. 315575
D. 470575
Answer:
A) 315/1005
Explanation:
Total choices: 120 + 255 + 35 + 60 + 200 + 110 + 75 + 150 = 1005
Favorable choices: 255 + 60 = 315
probability:
favorable choices/total choices
315/1005
21/67
Answer:
Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)
Step-by-step explanation:
Classification of the book in to 3
First let's assign terms to each probability
Let:
T1= total number of type of Reader's group
T2 = total number of Type of book
T3 = total number of type of Cost
Probability of child's book and cost $15= Pr(Cb) & Pr(cost $15)
Then find probability of child's book and cost separately:
Pr of child's book = Pr(Cb)
Pr(Cb) = (number of child's book)/ total number of type of group
Ncb = number of child's book
Pr(Cb) = Ncb/T1
Pr (cost $15) = $15 book/total number of cost
Pr (cost $15) = 15/T3
probability of child's book and cost $15 = Pr(Cb) × Pr (cost $15)
= Ncb/T1 × 15/T3
Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT!!!!
Answer: It should be 4 11/15 gallons.
Step-by-step explanation:
I multiplied both of the amounts.
The Curved Surface area [csa] In a cylinder is 250cm². If the cylinder is 12cm high ,find the volume.
ahemmm the so-called curved area, will be the "latereal surface area" of the cylinder, and we know that that is 250 cm², whilst the height h = 12.
[tex]\textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=250\\ h=12 \end{cases}\implies \begin{array}{llll} 250=2\pi r(12)\implies 250=24\pi r \\\\\\ \cfrac{250}{24\pi }=r\implies \cfrac{125}{12\pi }=r \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{125}{12\pi }\\ h=12 \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{125}{12\pi } \right)^2 (12) \\\\\\ V=\cfrac{15625}{12\pi }\implies V\approx 414.47 \end{array}[/tex]
In a class of 23,there are 13 girls and 10 pupils who play chess .The number of girls play chess is 4.Find how many boys do not play chess. Topic :word problems involving set.Note:solve it by formula method and not venn diagram.Ur work should be shown clearly.30 points. A need it hurry
Answer: 4
Step-by-step explanation:
If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.
What is the factored form of x²y³ - 2y³ - 2x² + 4?
y³ (x² − 2) +2 (-x² + 2)
Answer:The third option is correct
Step-by-step explanation:
Answer:
(y³ - 2) (x² - 2).
Step-by-step explanation:
x²y³ - 2y³ - 2x² + 4
= y³ (x² - 2) - 2(x² - 2)
(x² - 2) is common to both parts so we have:
(y³ - 2) (x² - 2)
simplify fully the following :
2√3 x 3√8
Answer:
29.3938769134
Step-by-step explanation:
Answer:
[tex]\sf 12\sqrt{6}[/tex]
how to solve to |12(16−63)|
Step-by-step explanation:
simply do the calculations :
|12 × (16 - 63)|
|12 × - 47|
|-564| = 564
that's it.
remember, the absolute value is always the positive value of a number.
|-x| = x
and also
|x| = x
help pls i need it know i will brainliest you thanks
Answer:
Check the attached image for your answer.
Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 15.9
Step-by-step explanation:
please help.... thank you
Answer:
going from left to right
1. 1/2
2. 3/4
3. 1 1/4
4. 1 1/2
5. 1 3/4
6. 2 1/2
7. 2 3/4
8. 3 1/2
9. 3 3/4
since 1/2 is > 1/4
and 3/4 is > 1/2
whenever you have a number in front of a fraction, it goes between the number it is (say 3) and the number after (4)
hope this helps:)
Please help me solve for X
Answer:
[tex]\boxed{\sf x = 11.57}[/tex]
Step-by-step explanation:
[tex] \sf {x}^{2} = {3.6}^{2} + {11}^{2} [/tex]
Calculate 3.6 to the power of 2 to get 12.96, and 11 to the power of 2 which will give you 121.
[tex] \sf {x}^{2} = 12.96 + 121[/tex]
Add 12.96 and 121.
[tex]\sf {x}^{2} = 133.96[/tex]
Now, we'll take the square root of both sides of the equation.
[tex] \sf \sqrt{ {x}^{2} } = \sqrt{133.96} [/tex]
[tex]\sf x = 11.57[/tex]
What are the coordinates for D?
options:
(-3, 2)
(-3, -1)
(-2, -3)
(-3, -2)
Answer:
(-3, -2)
Explanation:
Coordinates are represented in the form of (x, y)
To know the x coordinates see the value on the x-axis.
To know the y coordinates see the value on the y-axis.
From there we can identify:
A = (x, y) = (-4, 4)
B = (x, y) = (2, 2)
C = (x, y) = (0, -5)
D = (x, y) = (-3, -2) ← Required answer.
Choose the equation for the relationship shown in the graph.
A) y = x + 50
B) y = x – 50
C) y = 50 - x
D) x = 50 - y
Answer:
B) y = x - 50
Step-by-step explanation:
https://brainly.com/question/27646495
Researching the average earnings by major and by career can help you determine the _____ of an institute of higher education.
a) net cost
b) sticker price
c) available scholarships
d) return on investment
Researching the average earnings by major and by career can help you determine the return on investment of an institute of higher education.
How to Calculate Return on Investment (ROI)?The primary indicator of the profit made from any venture is return on investment (ROI). A gain or loss from an investment in relation to its cost is compared using this ratio. Whether you are assessing the success of your stock portfolio, taking into account a company investment, or choosing whether to start a new project, it is helpful in evaluating the current or projected return on an investment.ROI and other cash flow indicators, including internal rate of return (IRR) and net present value (NPV), are important metrics that are used in business research to assess and prioritize the attractiveness of various investment options.Despite the fact that ROI is a ratio, it is usually stated as a percentage.It's crucial to keep a few things in mind when assessing ROI figures. First off, because it is inherently simpler to understand than a ratio, ROI is frequently represented as a percentage. Second, because investment returns can be either positive or negative, the ROI calculation includes the net return in the numerator.To learn more about return on investment, refer to
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10. BRO SOMEONE HELP ME IM STUCK ON THIS
Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
The y-intercept is the coordinate point where x = 0. For the log function;
f(x) = log(x - 5)
If y = 0
0 = log(x-5)
x - 5 = 10^0
x - 5 = 1
x = 6
Hence the x-intercept is at (6, 0)
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
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Does anybody know this? Find the value of y and z
Answer:
z = 70 (Since it is a straight angle)
y = 110 (y = 180 - z)
1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
that has a circumference of 2.5 miles. for which of these functions does y represent the
number of miles a motor car has left to go in the race if x represent the number of laps
completed by the motor car?
a. y = -2.5x -500
b. y = -2.5x + 500
c. y = 2.5x -500
d. y = 2.5x + 500
The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
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A marble is selected at random from a jar containing 4 red marbles, 5 yellow marbles, and 3 green marbles. What is the probability that the marble that gets selected is red?
Answer:
p(picking red)= 4/12 (4 over 12) which can get simplified to 1/3 (1 over 3)
My question is the if the app well it be good for me or not and if the awers the this is app it give to me are they are good of not??????????? but Thx for all and for the time be here workind thank very much... ;\ LO VE THIS APP THX TO ALLL YOU WORK...
sounds nice? I'm responding to just answer a question
question 7. evaluate the expression
[tex]\left(3^3 - 6 \cdot 8 \right) \div 7\\\\\\= \dfrac{27-48}{7}\\\\\\=-\dfrac{21}7\\\\\\=-3\\[/tex]
Answer:
-3
Step-by-step explanation:
Using PEMDAS :
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionExponent (in Parentheses)
(3³ - 6 × 8) ÷ 7(27 - 6 × 8) ÷ 7Multiplication (in Parentheses)
(27 - 6 × 8) ÷ 7(27 - 48) ÷ 7Subtraction (In Parentheses)
(27 - 48) ÷ 7-21 ÷ 7Division
-21 ÷ 7-3