Answer:
a) the second building is 118.69 m tall
b) the height of the window from the ground is 70.077 m
Step-by-step explanation:
Attached is a sketch of the building. Look over the sketch before reading the explanation.
Use SOH CAH TOA.
Let [tex]O_{1}[/tex] be the height of the window from the ground.
Therefore we can say that [tex]O_{1}+O_{2}[/tex] is the height of the second building.
We can say that
[tex]O_{1}=tan(x_{1} )*A_{1}[/tex]
Therefore
[tex]O_{1}=tan(54)*56[/tex]
[tex]O_{1}=70.077[/tex]
[tex]O_{2}=tan(x_{2} )*A_{2}[/tex]
[tex]O_{2}=tan(41)*56[/tex]
[tex]O_{2} =48.68[/tex]
[tex]70.007+48.68=118.69[/tex]
What is the Slope-Intercept Formula if the line IS Proportional. (Slope-intercept form is y =
mx + b)
Type a response
Answer:
y = mx
Step-by-step explanation:
You want to know the slope-intercept formula for a line that represents a proportion.
ProportionA proportion is a linear function that includes the point (0, 0). The y-intercept is zero, so the slope-intercept equation is ...
y = mx
simplify the picture
dan and sydney are getting high-speed internet access at the same time. dans provider charges $60 for installation and $42.95 per month. Syndey’s providee has a free installition and charges 57.95 per month after how many months will dan and gave paid the same amount for the internet
Answer:
after 4 months dan and sydney will have paid the same amount
Step-by-step explanation:
Answer:
Step-by-step explanation:
dan and sydney are getting high speed internet access at the same time.dans provider charges $60 for installation and $42.95 each month. sydney's provider has free installation and charges 57.95 per month. after how many months will dan and sydney have paid the same amount?
let 'm' represent the number of months they have subscribed
dan's total:
42.95m + 60
sydney's total:
57.95m
we want to calculate 'm' when the two totals are equal:
42.95m + 60 = 57.95m
60 =15m
m = 60/15 = 4
after 4 months dan and sydney will have paid the same amount
A right triangle has a leg of length 13 yards and a hypotenuse of
length 42 yards. Find the length of the other leg. Provide an answer
accurate to the nearest tenth.
Answer:
39.9 yards
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
Where a and b are the legs and c is the hypotheneus
We set this so it will be equal to a leg
a^2+b^2=c^2
-b^2. -b^2
a^2=c^2-b^2
42^2-13^2=a^2
1764-169=a^2
1595=a^2
√ √
39.9=a
Hopes this helps please mark brainliest
Water is rushing down the slide at a rate of 1 half gallon every 3 seconds .At this rate , how many gallons of water rush down the slide each seconds ?
1/2 gallons of water rush down the slide each seconds.
Explain the method of unitary?The unitary approach involves calculating the value of a specific unit, from which we can calculate the values of the necessary number of units.The unitary method's formula is to identify the value of a specific unit, then multiply that value by the number of units to obtain the required value.For the given question-
Rate of running water = 1 half gallon every 3 seconds.
Rate of running water = 1 1/2 = 3/2 gallon every 3 seconds.
It means-
In every 3 seconds ----> 3/2 gallons water flows.
Thus for 1 sec, divide both side by 3.
1 seconds ----> 1/2 gallons water flows.
Therefore, 1/2 gallons of water rush down the slide each seconds.
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25 POINTS! PLEASE HELP QUICKLY.
Simplify the expression.
six tenths squared minus 18 plus the quantity negative 3 divided by the absolute value of 5.6 minus 7.1 end quantity times 4.19
A: −25.18
B: −26.02
C: −8.42
D: −9.26
Answer:
D
Step-by-step explanation:
Exam test completed. Your welcome
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction.
Answer:
Below
Step-by-step explanation:
a = 1 b = 5 c = 5
Using these values in the Quadratic Formula given results in zeroes of
x = -5/2 ± sqrt (5) / 2
classifying triangles for #13 2 answers needed
The triangles in the image given are classified as:
11. isosceles 12. scalene 13. equilateral
How to Classify Triangles?If all three sides of a triangle are congruent or of equal length, the triangle is classified as equilateral.If a triangle has different side lengths, that is, unequal side lengths, the triangle is classified as scalene.Also, where the length of two sides of a triangle are shown to be equal or congruent to each other, the triangle is classified as isosceles.Therefore:
11. The triangle has two congruent sides, therefore, it is classified as isosceles.
12. The triangle has different side lengths, therefore it is scalene.
13. All the three sides of the triangle are congruent, therefore, it is an equilateral triangle.
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you order 3 strings of white led lights and 2 strings of colored led lightgs for 66$ In a second order you buy one string of each type for 27$ brainly math question braunlly
The cost of each white led lights and colored led lights is $12 and $15 respectively.
What is the cost of each led light?Let
White light = wColored light = cw + c = 27
3w + 2c = 66
From (1)
w = 27 - c
Substitute w = 27 - c into (2)
3w + 2c = 66
3(27 - c) + 2c = 66
81 - 3c + 2c = 66
- 3c + 2c = 66 - 81
- c = - 15
c = 15
Substitute c = 15
w + c = 27
w + 15 = 27
w = 27 - 15
w = 12
In conclusion, the task content can be solved using the concept of simultaneous equation.
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(X13)° (3x-37)° find the value of the variable and the meaure of each labeled angle
Since these two lines overlap, the variable's value is 25, and the angle's value is 38 degrees.
What is intersecting lines?The empty set, a point, or another line can cross another line in Euclidean geometry. Examples of applications for identifying these circumstances and locating the intersection include computer graphics, motion planning, and collision detection. In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the crossing lines share a common point.
Here,
Both the angles are equal as they are intersecting lines and opposite angles are equal in this.
x+13=3x-37
3x-x=37+13
2x=50
x=25
x+13=25+13
angle=38
3x-37=3*25-37
angle=38
The value of variable is 25 and the value of angle in 38 degree as they are the intersecting lines.
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If points A and B are both dilated using a center of C
and a scaling factor of 3, then which of the following
will be the distance between the images of A and B?
0
O24
18
12
9
5
A
10
C B
15
20
Answer:
1.8x101
Step-by-step explanation:
from a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 14 miles per hour. in how many hours will they be 120 miles apart?
The two boats will be 120 miles apart in five hours.
We need to find the time at which the boats will be 120 miles apart from each other.
It has been given that the total distance is 120 miles.
Now, let's take up the following assumptions in order to arrive at the time taken by two boats to cover the requisite distance:-
Let x= distance traveled by boat 1 at 10 miles per hour.
Let y= distance traveled by boat 2 at 14 miles per hour.
Thus, x+y=120(given)------(i) [That is, distance travelled by boat 1+ Distance travelled by boat 2= Total Distance]
Let t denote the time factor,
then, Boat 1 will travel x miles in T hours, and the Boat 2 will travel y miles in T hours.
We know, Distance= Rate * Time
Thus, we can say, x= 10*T---------------(ii)
y=14*T-----------------(iii)
Adding equations ii and iii, we get
x+y=24T----------------(iv)
Now, subtracting equation (iv) from (i), we get
24T-120=0
24T= 120
thus, we get t=5
Hence, the time taken by two boats, to be 120 miles apart is five hours.
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jacked biked 28 miles in 3.5 hours
(question one )whats the unit rate per hour?
(question two) how far can he bike in 9 hours
(1). The unit rate of per hour is 8 hours.
(2). He bikes 72 miles in 9 hours.
What do you mean by unit rate?
An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.
According to data in the given question,
We have :
Distance travelled in 3.5 hours = 28 miles
Now, firstly we need to find unit rate per hour,
Distance travelled in 1 hours = 28/3.5 miles
= 8 miles
So, the unit rate of per hour is 8 hours.
Then, we will find the how far can he bike in 9 hours,
Distance travelled in 9 hours = 9*8 miles
= 72 miles
Therefore, he bikes 72 miles in 9 hours.
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Which of these is not a variable term found in the binomial expansion of (a + b)8? (ignore coefficients. ) a7b a3b5 ab6 b8.
ab⁶ is not a variable term found in the binomial expansion of [tex](a + b)^{8}[/tex]as this is because, the powers must sum up to 8
What is binomial expansion?A polynomial with just terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct words. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic statement that comprises a constant, exponents, a variable, and a coefficient.
The Binomial Expansion of [tex](a+b)^8[/tex] is -
[tex](a + b)^8 = a^8 + 8a^7b + 28a^6b^2 + 56a^5b^3 + 70a^4b^4 + 56a3^b^5 + 28a^2b^6 + 8ab^7 + b^8.[/tex]
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Answer:
9
C
D
Step-by-step explanation:
a manufacturer must test that his bolts are 5.00cm long when they come off the assembly line. he must calibrate his machines if the bolts are too long or too short. after sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.88cm. he knows that the population standard deviation is 0.44cm. assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? step 2 of 3 : compute the value of the test statistic. round your answer to two decimal places.
Given that the test's p-value is 0.0562>0.05, there is enough data to conclude that the machines' manufacturer should perform a new calibration.
What is test statistic?A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.
Here,
x=4.88 cm
μ=5 cm
σ=0.44 cm
n=49
The test statistic,
=(4.88-5)/(0.44/7)
z=-1.909
The p-value of the test is the probability that the sample mean is different by at least 4.88 - 5 = 0.12 from the target value, which is P(|z| > -1.909), which is 2 multiplied by the p-value of z = -1.909
At z=-1.909, p-value=0.0281
2*0.0281=0.0562
The test's p-value is 0.0562>0.05, indicating that there is enough data to conclude that the machines' manufacturer should perform a recalibration.
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Determine which equation is linear
Answer:
A. No
B. No
C. Yes
D. Yes
Step-by-step explanation:
An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
Stock: Price:
A $9.50
B $27.00
Taking into account the definition of a system of linear equations, Finally, the investor owns 80 and 120 shares of Stock A and B respectively.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
A solution to a system is an assignment of values to the unknowns that makes each of the equations true. Solving a system means finding all the solutions of the system.
Amount of shares of each stockIn this case, a system of linear equations must be proposed taking into account that:
"A" is the amount of shares of Stock A."B" is the amount of shares of Stock B.You know:
An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000.The price of Stock A is $9.50The price of Stock B is $27.00The system of equations to be solved is:
A + B= 200
9.50A +27B= 4000
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "A" from the first equation you get:
A= 200 - B
Substituting the expression in the second equation:
9.50× (200 - B) +27B= 4000
Solving:
9.50×200 - 9.50B +27B= 4000
1900 - 9.50B +27B= 4000
- 9.50B +27B= 4000 - 1900
17.5B= 2100
B= 2100÷ 17.5
B= 120
Substituting this value in the expression A=200 - B you get:
A= 200 - 120
A= 80
Finally, the investor owns 80 shares of Stock A and 120 shares of Stock B.
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Bittersweet bakery normally sells out wers
of loaves of bread quickly. The graph
shows the loaves of bread that the
bakery has left. Label each segment
of the graph with letters A through
E, beginning from the left. Record the
time interval for each segment. Then,
describe how fast the number of
loaves changes.
Answer:
Step-by-step explanation:
Location & Hours
Map
109 W 4th St
Ogallala, NE 69153
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7:00 AM - 3:00 PM
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7:00 AM - 3:00 PM
Thu
7:00 AM - 3:00 PM
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7:00 AM - 3:00 PM
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7:00 AM - 1:00 PM
Sun
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K B.
Fort Collins, CO
0223
6/18/2015
wonderful cinnamon rolls and sticky buns, so glad we stopped on our way thru town.
It's a small little place in residential area, not far from a main road, definitely worth stopping by for a delicious treat!
Kaitlin J.
Cedar Grove, Panama City, FL
016
8/27/2020
2 photos
Erin is so friendly and truly a master of her trade! We ordered a cake shaped like a suitcase (complete with fondant flight attendant) as a surprise for our mom's retirement party. It turned out even better than we could have ever expected with the best hand-painted intricate details. She really went above and beyond, and the carrot cake was absolutely delicious!! We are all still so impressed. We just had such a great experience from start to finish--Erin is so friendly and easy to work with. She made our vision come to life and at an incredibly reasonable price. I can't recommend her bakery enough!
Answer: 5.5
Step-by-step explanation:
Jewels has $6. 75 to ride the ferry around connecticut. It will cost her $0. 45 every time she rides. Identify the dependent variable and the independent variable in this scenario.
The number of rides is the dependent variable, while the total cost is the independent variable.
What is dependent variable?In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables according to some law or rule.
What is independent variable?The variable that the researcher modifies or manipulates in an experiment is known as the independent variable. The measured reaction is the dependent variable. The dependent variable is dependent on the change in the independent variable, to put it another way.
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What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f = 16 khz?.
The Frequency will be "266.14 Hz" and the number of loops are "60".
Explain the term harmonic motion?A simple periodic motion (such a pendulum swinging or a violin string making music) which has a specific frequency and amplitude or is made up of two or more of these motions.For the given question-
Tension T = 765 NLength L = 0.600 mMass m =4.50 gThe formula for the linear velocity is given as;
Linear density; μ = mass/length
Put the values,
μ = 4.5 x 10⁻³/0.6
μ = 7.5 x 10⁻³ kg/m
The formula for the fundamental frequency is;
F = (1/2L)√(T/ μ)
F = (1/2x0.6)√(765/ 7.5 x 10⁻³)
F = 266.14 hz
The number of loops is;
n = f'/f
n = 16000/266.14
n = 60
Thus, a person who can hear frequencies up to f = 16 kHz would be able to hear the highest harmonic with number n equal to 60.
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The complete question is-
A piano tuner stretches a steel piano wire with a tension of 765 N . The steel wire has a length of 0.600 m and a mass of 4.50g .
What is the frequency (f_1) of the string's fundamental mode of vibration?
What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f = 16 kHzc?
1)A confidence interval is used for estimating a population parameter. TRUE/FALSE
2)A confidence interval always captures the sample statistic.TRUE/FALSE
3) A confidence interval always captures the population parameteTRUE/FALSE
4)When constructing a confidence intervals we should always use Z-critical values.TRUE/FALSE
5) The margin of error determines the center location of the confidence interval.TRUE/FALSE
6)In general, we would like to have a precise confidence interval while having a high level of confidence.TRUE/FALSE
7)When constructing a confidence interval for a proportion we need a large sample size. Read answers carefully.
Group of answer choices
False - The size of the sample is not important
True - n*(p-hat) OR n(q-hat) need to be at least 10
True - Both n*(p-hat) AND n(q-hat) need to be at least 10
The solutions for the given conditions are;
1. True
2. True
3. False
4. False
5. False
6. True
7. True
1) For estimating a population parameter, a confidence interval is used.
TRUE → CI is used for estimating a population parameter. But, it can also be used to estimate the sample statistic.
2) The sample statistic is always captured by a confidence interval.
TRUE → CI is calculated using the sample statistic.
3) The population parameter is always captured by a confidence interval.
FALSE → There is a type 1 error possibility.
4) Z-critical values should always be used when creating confidence intervals.
FALSE → Z stat is used only in a normal distribution with sizes>30. Else, it is recommended to use a t distribution.
5) The center of the confidence interval is determined by the margin of error.
FALSE → ME determines the maximum deviation from the center at a given confidence level
6) In general, we would like to have a high level of confidence and a precise confidence interval.
TRUE → This is attainable when we increase the sample size.
7) A large sample size is required to create a proportion's confidence interval.
TRUE → Along with the large sample, we also need to have np and nq at least 10.
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Question below. 50 POINTS UP FOR GRABS!!
Answer:
a) 53+(8p+10)+(2p+17)=180
p= 10
b) 53 degrees
8p+10 = 90 degrees
2p+17= 37 degrees
Step-by-step explanation:
sum of all angles of a triangle equal 180 degrees
so we can add all these angles together and set it equal to 180
53+(8p+10)+(2p+17)=180
53+10p+27=180
10p+80=180
-80. -80
10p=100
/10. /10
p=10
now we can fill in p to find the angles
we already know 53 degrees
8p+10
8(10)+10
80+10
90 degrees
2p+17
2(10)+17
20+17
37 degrees
hopes this helps please mark brainliest
Answer:
a) 53° + (8p + 10)° + (2p + 17)° = 180°
p = 10
b) 53°, 90° and 37°
Step-by-step explanation:
Interior angles of a triangle sum to 180°.
Therefore, to find the value of p, equal the sum of the given angles to 180°, then solve for p.
⇒ 53° + (8p + 10)° + (2p + 17)° = 180°
⇒ 53 + 8p + 10 + 2p + 17 = 180
⇒ 8p + 2p + 53 + 10 + 17 = 180
⇒ 10p + 80 = 180
⇒ 10p + 80 - 80 = 180 - 80
⇒ 10p = 100
⇒ 10p ÷ 10 = 100 ÷ 10
⇒ p = 10
To find the measure of the angles, substitute the found value of p into the expression for each angle:
⇒ (8p + 10)° = (8(10) + 10)° = (80 + 10)° = 90°
⇒ (2p + 17)° = (2(10) + 17)° = (20 + 17)° = 37°
Therefore, the measures of the three angles are:
53°90°37°A guy wire runs from the top of a cell tower to a metal stake in the ground. Janelys places a 5-foot tall pole to support the guy wire. After placing the pole, Janelys measures the distance from the stake to the pole to be 14 ft. She then measures the distance from the pole to the tower to be 24 ft. Find the length of the guy wire, to the nearest foot.
The length of the guy wire will be equal to 27.78 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that Janelys places a 5-foot tall pole to support the guy wire. After placing the pole, Janelys measures the distance from the stake to the pole to be 14 ft. She then measures the distance from the pole to the tower to be 24 ft.
The length of the wire will be calculated as,
L² = 24² + 14²
L² = 576 + 196
L² = 772
L = √772
L = 27.78 ft
Therefore, the length of the guy wire will be equal to 27.78 feet.
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Answer:
40ft
Step-by-step explanation:
ASAP WILL GIVE BRAINIEST
What are the solutions to the equation shown?
Answer:
Step-by-step explanation:
A B
Find the asymptote(s) of the graph of the function. Select all that apply.
The asymptotes of the graph of the function are given as follows:
x = -2.x = -1.y = 0.What are the asymptotes of the function?The function has two types of asymptotes, which are given as follows:
Vertical asymptotes.Horizontal asymptotes.The vertical asymptotes are the values of x for which the function is not defined, that is, empty spaces on the graph of the function, hence they are given as follows:
x = -2, as the function goes to infinity at both sides of x = -2.x = -1, as the function is not defined at x = -1 due to the open circle.At x = 1, there is a closed circle, hence the function is defined and it is not a vertical asymptote.
The horizontal asymptote is the limit of the function as it goes to infinity, as long as this limit is different of infinity.
The limits are given as follows:
x goes to negative infinity: y = 0 -> horizontal asymptote.x goes to positive infinity: negative infinity -> not an asymptote.More can be learned about the asymptotes of a function at https://brainly.com/question/1851758
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Select all the equations that have g = 6
the solution.
Og+2=10
0g-1=10
09-2=4
58+ g = 60
44 - g = 38
Check all of the functions that are odd. F(x)=x3-x2f(x)=x5-3x3+2xf(x) = 4x + 9f (x) = startfraction 1 over x endfraction.
We will see that the odd functions were f(x) = x5 - 3*x3 + 2*x and f(x) = 1/x since only those were true under the specified circumstances.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. The most basic definition is that a function is a collection of ordered pairs of items, which in our instance will be numbers, but they may also be anything else, and which have the feature that their initial members are all distinct from one another. The relationship between the input or domain and the output or range is known as the function rule. If and only if there is a single value in the range for each domain value, a relation is a function.
Here,
A function is odd,
f(-x) = -f(x) for every value of x in its domain.
1) f(x) = x^3 - x^2
f(-x) = (-x)^3 - (-x)^2
= -x^3 - x^2
f(-x) ≠ -f(x)
This function is not odd.
2) f(x) = x^5 - 3*x^3 + 2*x
f(-x) = (-x)^5 - 3*(-x)^3 + 2*(-x)
= -x^5 + 3*x^3 - 2*x = -f(x)
This function is odd.
3) f(x) = 4x + 9
f(-x) = 4*(-x) + 9
= -4*x + 9
-f(x) = -( 4*x + 9)
= -4*x - 9
f(-x) ≠ -f(x)
This function is not odd.
Because only these were true under the specified circumstances, we will find that the odd functions are f(x) = x^5 - 3*x^3 + 2*x and f(x) = 1/x.
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14 is more than the quotient of five and a number.
Please Help!!!! Hurry!!!
Answer:
Step-by-step explanation:
x is increasing by 2
y is decreasing by 4
Rise over run:
-4/2 --> -2
Answer: I believe the answer is -2
A stove is bought on hire purchase for $7500. A deposit of $1750 is paid in equal monthly payment of $ 250.
(I). Calculate the number of months required to complete the payments
The number of months required to complete the payments are 63 months.
How to calculate the number of months?We will make a equation, which represent total purchase amount in terms of number of months.
Let we consider number of months be t.
According to given information in the question:Total purchase amount = $17500, one time deposit = $1750
and monthly payment = $250
Then,
17500 = 1750 + 250t
250t = 17500-1750
250t = 15750
t = 15750/250
t = 63 months
Thus number of months required are 63.
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