The total interest on hire purchase was $1300
Explanation:Given a cash price of $2,200, a down payment of $800, and instalment of $150 each, the total interest on hire purchase is given as:
\(\lbrack800+18(150)\rbrack-2200=1300\)I took a picture of the question
The transformation in the picture is option c Reflection.
Given,
Reflection transformation:
A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.
According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.
Here,
In the picture the transformation is reflection.
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for the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.
The $ 9689.313 is the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.
A compound interest account that earns weekly interest will earn and reinvest weekly interest. Such an account grows faster than an annual compounding account.
There is an investment amount
P.= $ 8900 correct = 0.034 composition n = 52
Once a year, assuming the year has exactly 52 weeks. number of years t = 2.5
You can calculate the amount of money you earn as follows: a = P.(1+correctn)nta=8900 1 +0.034 52) 52∗ 2.5 a ≒ $ 9689.313.
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For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eight types of automobile, the linear correlation coefficient is found and the P-value is 0.003. Write a statement that interprets the P-value and includes a conclusion about linear correlation.
Answer:
The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.
Step-by-step explanation:
We have that the correlation coefficient shows the relationship between the weights and amounts of road fuel consumption of seven types of car, now the P value establishes the importance of this relationship. If the p-value is lower than a significance level (for example, 0.05), then the relationship is said to be significant, otherwise it would not be so, this case being 0.003 not significant.
The statement would be the following:
The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.
A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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i need help pleaseeee!!!
a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)
b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t
c. One possible solution is t ≈ 7.546 hours after the store opens.
d. there are 194 boxes of chocolates left.
e. you need to arrive at the store no later than 7.504 hours after it opens.
How to find the number of red roses left ?a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:
\(R(t) = 400/2^{t/2}\)
b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:
C(t) = 200 - 0.15t
c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:
\(400/2^{t/2} = 200 - 0.15t\)
Simplifying this equation, we get:
\(2^{t/2 + 1} + 0.15t - 400 = 0\)
We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.
d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:
C(3.5) = 200 - 0.15(3.5) = 194.25
We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.
e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:
\(400/2^{t/2}= 36\)
Simplifying this equation, we get:
2^(t/2) ≈ 11.111
Taking the logarithm of both sides, we get:
t/2 ≈ log2(11.111)
t ≈ 2 log2(11.111)
Using a calculator, we get:
t ≈ 7.504 hours after the store opens.
Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.
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Helppppppppppppppppp
Select equivalent or not equivalent for each pair of expressions
Answer:
Equivalent, equivalent, not equivalent.
Step-by-step explanation:
The answers for the first two are equal, but the last one doesn't have equal answers.
7
8
in.
3
16
in.
A.
C.
128
10
B.
D. .
24
14
Answer:
21/128
Step-by-step explanation:
Area = L * w
L = 7/8
w = 3/16
Area = 7/8 * 3/16
Numerator of the answer = numerator * numerator = 3 * 7 =21
denominator of the answer = denominator * denominator = 8 * 16 = 128
Answer is 21 / 128. This fraction cannot be reduced.
The answer is A
Answer:
21/128 in²
Step-by-step explanation:
Area = lw
=> 7/8 × 3/16
=> 21/128 in²
Hence,
Area is 21/128 in²
Plz do this for me quick
Find the sum.
19+(-19)
19+(-19)=0
Step-by-step explanation:
So first lets simplify this. We can use the method keep,change, change to do this. Keep the value of positive 19. Then change the + sign to - and the - sign to plus which gets us
19-(+19).
We can remove the +since we know its positive leaving 19-19 which is 0
What of the following graph that is a straight line? 1:y =2x +7 or 2:y² = x-7 or y= 2x²+4 or y= 3x³
Answer:
1. y = 2x + 7
Step-by-step explanation:
The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).
Look at the photo.(15 pts )
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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karen purchased a DVD player on sale. the original price was $179.30. the sale price was 159.92 what is the first step in finding the percent markdown? find the percent markdown.
well, let's do so and hmmm you decide which is the 1st step :)
so the DVD costs originally 179.30 but the store is selling it marked down by "x" percent, down to 159.92, hmmmm 179.30 - 159.92 = 19.38.
so if we take 179.30(source amount) to be the 100%, what is 19.38 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 179.30 & 100\\ 19.38& x \end{array} \implies \cfrac{179.30}{19.38}~~=~~\cfrac{100}{x} \\\\\\ 179.3x=1938\implies x=\cfrac{1938}{179.3}\implies x\approx 10.81\)
Which polynomial function could be represented by the graph below?
Es que el problema se lo resol vieron pero no es de la forma que se lo hacen a ella en la escuela
Pregunta:
Solución:
La figura dada es una figura compuesta, es decir, una figura geometrica compuesta por dos figuras.
En este caso, la figura dada esta figura esta hecha por una piramide y un paralelepípedo. Por lo tanto, el volumen de la figura será el volumen de la pirámide más el volumen del paralelepípedo.
En primer lugar, encontremos el volumen V1 del paralelepípedo:
\(V1\text{ = (1.8) x (1.1) x (0.8) =}1.58\)Ahora, encontremos el volumen V2 de la pirámide:
\(V2\text{ =}\mleft(\mright?\frac{1.8\cdot0.7}{2})*\mleft(1.1\mright)\text{ = }0.69\)Por lo tanto, el volumen V de la figura compuesta es:
\(V\text{ = V1+ V2 = 1.58+0.69 = 2.27}\)Entonces, podemos concluir que la respuesta correcta es:
\(2.27\)Describe the range of values for the correlation coefficient.
Answer:
The range of values for the correlation coefficient is -1 to 1 inclusive
Step-by-step explanation:
TIME REMAINING
58:53
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Answer:
XD is an emoticon commonly used to symbolize dying from laughter. It represents 2 closed eyes with the X and mouth with the D.
The solution of the equations is (-2, -1)
System of equation:2x - 3y = -1
11x - 9y = -13
Using elimination method let multiply the first equation by -3.
Therefore,
-6x + 9y = 3
11x - 9y = -13
5x = -10
x = -10 / 5
x = -2
let's find y as follows;
2(-2) - 3y = -1
-4 - 3y = -1
-3y = -1 + 4
-3y = 3
y = 3 / -3
y = -1
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Please help thank you so much math experts !
Answer:
Step-by-step explanation:
1) with the angle 120degrees, we know that external angles on a pair of parallel lines are the same. we can give this as an equation
120 = x + 130
re arrange to make x the subject
so subtract 130 on both sides
120-130=x
-10=x
x=-10
2) Corresponding angles in between parallel lines are the same. we can write this as
15x = 75
rearrange to make x the subject
x = 75 ÷ 15
x = 5
3)Internal angles inbetween parallel lines add to 180, so we can turn this into an equation
14x - 3 = 85
14x = 88
x = 88 ÷ 14
x = 6.285714 or just 6.29
A student council sells 44 bouquets for $176. Which equation represents the
relationship of x bouquets to y dollars?
Answer:
\(y = 4x\)
Step-by-step explanation:
Given
\(x = 44\)
\(y = 176\)
Required
Determine the relationship between x and y
First, we calculate the unit rate, using:
\(y = kx\)
Where k is the unit rate.
Substitute 176 for y and 44 for y
\(176 = k * 44\)
Divide both sides by 44
\(\frac{176}{44} = \frac{44*k}{44}\)
\(\frac{176}{44} = k\)
\(4 = k\)
\(k = 4\)
Substitute 4 for k in \(y = kx\)
\(y = 4x\)
Hence, the relationship between x and y is: \(y = 4x\)
What percentage of growth is needed annually to reach 400,000 in 3 years if today I have 200,000
Answer:
approx 26%
Step-by-step explanation:
you try find the multiplier
200000 * 1. ???? ^3= 400000
rearrange equation
\(\sqrt[3]{\frac{400000}{200000} }\) = multiplier
1.25992105
subract one
0.25992105
multiply by 100 to get percentage
25.9%
rounded to whole number = 26%
transformed to create the graph of Y3x?
How is the graph of the parent function
O It is horizontally stretched by a factor of 3 and reflected over the y-axis.
It is translated 3 units down and reflected over the x-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis
It is translated 3 units down and reflected over the y-axis.
Answer:
The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.
Which two points are on the graph of y=-x+ 3?
(-1,-2), (1,4)
(1, 2), (0, -3)
(0, 3), (4, -1)
(4, -1), (1, 3)
Answer:
(0, 3), (4, -1)
(1, 2)
Step-by-step explanation:
If the answers that have been provided to you are only in pairs then it'd just be the first answer I wrote. The points (1, 2) also are on the graph of y=x+3 but if the answers aren't individual than I'd just stick with the (0, 3), (4, -1). Does that make sense? I used a graphing calculator online called Desmos, it's very good. I highly recommend it for problems like these.
I hope this helps:) Select as brainliest because I actually put work into this and tried.
Multiply, then combine like terms.(2x-5)(x+2)
(2x-5)(x+2)
First we multiply the binomials
\(2x^2+4x-5x-10\)\(2x^2-x-10\)An investigator claims, with 95 percent confidence, that the interval between 10 and 16 miles includes the mean commute distance for all California commuters. To have 95 percent confidence signifies that
Answer:
Hello the options to your question is missing below are the options
A) if sample means were obtained for a long series of samples, approximately 95 percent of all sample means would be between 10 and 16 miles
B.the unknown population mean is definitely between 10 and 16 miles
C.if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians
D.the unknown population mean is between 10 and 16 miles with probability .95
Answer : if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians ( c )
Step-by-step explanation:
95% confidence
interval = 10 to 16 miles
To have 95% confidence signifies that if these intervals were constructed for a long series of samples, approximately 95 percent would include the unknown mean commute distance for all Californians
confidence interval covers a range of samples/values in the interval and the higher the % of the confidence interval the more precise the interval is,
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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Helppppppppppppppppppppppp please
Answer:
A
Step-by-step explanation:
Two Squares
There are 2 squares at the top and bottom. All sides = 3
2* s^2
2 * 3^2
2 * 9
18
Middle Figure.
Triangles
There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.
Base of both triangles = 5 + 5 = 10
The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.
Area = 1/2 * 2 * 10 = 10
But there are 2 of them so the total area is 20
Rectangle
The length of the rectangle = 5 + 5 = 10
The width = 3
Area = 30
Total
Total Area = 2 squares + 2 triangles + 1 rectangle
Total Area = 18 + 20 + 30 = 68
Mr. Josh spends $153 every week on gas to get to work. How much d
Mr. Josh spend annually to go to work?
O $7,956
O $7,650
O $1,836
O $27,540
I keep getting 7344
Total amount spend by Mr. Josh is,
⇒ $7,978
We have to given that,
Mr. Josh spends $153 every week on gas to get to work.
Since, We know that,
1 year = 52.1429 weeks
Here, Mr. Josh spends $153 every week on gas to get to work.
Hence, Amount Mr. Josh spend annually to go to work is,
⇒ $153 × 52.1429
⇒ $7,978
Therefore, Total amount spend by Mr. Josh is,
⇒ $7,978
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what is the range of function m?
The range of the function m is [1, ∞). Thus, B is correct option.
What are a function's range and domain?The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.
Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.
Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).
As a result, the function m has a range of [1, ∞).
We can write: in interval notation:
m ∈ [1, ∞) range.
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factor and solve
x^2-4x=5
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.