Answer:
Step-by-step explanation:
2 meter is like 6.4 yards
so i would say B is the answer
Final answer:
The work done by the crane in lifting 50 Newtons over a distance of 2 meters is 100 Nm.
Explanation:
The work done by a crane can be calculated by multiplying the force applied by the distance over which the force is applied. In this case, the crane is lifting 50 Newtons over a distance of 2 meters. Therefore, the work done is:
Work = Force x Distance
Work = 50 N x 2 m = 100 Nm
So, the correct answer is 100 Nm.
Help me with IXL please
Answer:
$95.48 was his commission
Step-by-step explanation:
First we need to find what the retail cost of the chest is. If it's marked up 150%, we use 763.84 + 1.5(763.84) which gives us a retail price of $1909.60. If Ben makes 5% on the sale as his commission, then we take 5% of 1909.60 which, in algebraic terms, looks like this: .05(1909.60) which is $95.48
Given the picture below, find x and both angles.
3x+2+x+8=180; 4x+10=180; 4x=170; x= 170/4= 42.5
Angle on top is x+8=42.5+8=50.8
Angle on the bottom is 3x+2=3•42.5+2= 129.5
The value of x is 42.5.
What are parallel lines?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.
No matter how far apart they are in any direction, parallel lines will never intersect.
Given:
From figure (x+8) and(3x+ 2) are angles on same side of transversal.
So, (x+ 8) + (3x+ 2)= 180
4x+ 10 = 180
4x = 180- 10
4x= 170
x= 170/4
x= 42.5
Hence, the value of x is 42.5.
Learn more about parallel line here:
https://brainly.com/question/16701300
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The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.
A. n + 2n = 37; n = 12; 2n = 24
B. n + n + 1 = 37; n = 18; n + 1 = 17
C. n + n + 1 = 37; n = 18; n + 1 = 19
D. n + n + 1 = 37; n = 19; n + 1 = 20
Answer:
C. n + n + 1 = 37; n = 18; n + 1 = 19
Step-by-step explanation:
If we let n represent the smaller integer, then the larger one is n+1. Their sum is 37, so you have ...
n + (n+1) = 37
When you subtract 1 and collect terms, you have ...
2n = 36
Dividing by 2 gives you ...
n = 18
Then the larger integer is ...
n+1 = 19
The matching choice is C.
Need math help for this
Answer:
In the attachmentStep-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
We have the equation:
[tex]y-5=-\dfrac{2}{3}(x+9)\\\\y-5=-\dfrac{2}{3}(x-(-9))[/tex]
Therefore we have
the slope m = -2/3
and the point (-9, 5)
A slope
[tex]m=\dfrac{rise}{run}[/tex]
rise = -2
run = 3
From the point (-9, 5) ⇒ 2 units down and 3 units to the right.
I just need to make sure I got the correct answer. If it is wrong can you please help me get the correct answer. Step by step please.
Answer:
Step-by-step explanation:
The easiest way for me to answer your question is just to do it. If we agree, all well and good. If we don't, then you have the way I did it.
A = (4.75*x + 125)/10000
A = (4.75*10000 + 125) / 10000
A = (47500 + 125) / 10000
A = 47625/10000
A = 4.76
So it looks like we both think it is A.
The question is deceptive because the 125 is really quite small compared to 47500.
Answer:
A. $4.76
Step-by-step explanation:
This case is fairly typical of average cost problems. There is some fixed cost that is amortized over the number of T-shirts produced, and there is some variable cost associated with each item.
Here, if you divide out the equation, you get ...
A = 4.75 + 125/x
Then for x=10,000, the value of A is ...
A = 4.75 +125/10,000 = 4.75 +0.0125 ≈ 4.76
_____
Once you see that the fixed cost of $125 is divided by 10,000, you can look for an answer choice that is very slightly higher than $4.75.
help with this please
Answer:
x = 61
Step-by-step explanation:
Supplementary angles add to 180°, so we have ...
(2x) + (x -3) = 180
3x = 183 . . . . . . . . . add 3
x = 61 . . . . . . . . . . . divide by 3
The value of x is 61.
_____
The angles are m∠P = 122°, m∠Q = 58°. Their sum is 180°.
Pablo ran a concession stand last Saturday and made $79.80 from selling a total of 53 hot dogs and hamburgers. Each hot dog sold for $1.40 and each hamburger sold for $1.80. Which system of equations can be used to determine the number of hot dogs, x, and hamburgers, y, that were sold?
A. 1.4x + 1.8y = 79.8
39x + 14y = 53
B. 0.7x + 0.9y = 79.8
x + y = 3.2
C. 1.4x + 1.8y = 79.8
x + y = 53
D. 2.8x + 3.6y = 3.2
x + y = 546
Answer:
C. 1.4x + 1.8y = 79.8
x + y = 53
Step-by-step explanation:
The problem statement gives rise to two equations, one for the amount of money made, and one for the number of items sold. If x and y represent the numbers of items, and if 53 items were sold, then one of the equations will be ...
x + y = 53
This is sufficient to let you choose the correct answer.
___
Since "x" items were sold for $1.40 and "y" items were sold for $1.80, the sales revenue will be the sum of products of price and quantity:
1.40x +1.80y = 79.80
This confirms the choice of answer.
If the perimeter of the large square tile is 48 inches and the perimeter of the smaller square is 16 inches, what is the perimeter of one of the trapezoids?
Answer:
The perimeter of one of the trapezoids is equal to [tex](16+8\sqrt{2})\ in[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The perimeter of a square is
[tex]P=4b[/tex]
where
b is the length side of the square
step 1
Find the length side of the smaller square
[tex]16=4b[/tex]
[tex]b=16/4=4\ in[/tex]
step 2
Find the length side of the large square
[tex]48=4b[/tex]
[tex]b=48/4=12\ in[/tex]
step 3
Find the height of one trapezoid
The height is equal to
[tex]h=(12-4)/2=4\ in[/tex]
step 4
Remember that in this problem, one trapezoid is equal to one square plus two isosceles right triangles.
Find the hypotenuse of one isosceles right triangle
Applying Pythagoras Theorem
[tex]c^{2}=4^{2} +4^{2} \\ \\c=4\sqrt{2}\ in[/tex]
step 5
Find the perimeter of one of the trapezoid
The perimeter is equal to
[tex]P=(4\sqrt{2} +4+4\sqrt{2}+12)\\ \\P=(16+8\sqrt{2})\ in[/tex]
Answer:
27.3 Inches
Step-by-step explanation:
when the length of a rectangle with a width of 1/6ft was increased by 2/3ft, the area of the rectangle became 11/72 sq ft. what was the original length
Answer:
1/4 ft
Step-by-step explanation:
The area is given by the product of length and width. Since the width of the rectangle was not changed, the new length L satisfies the equation ...
(1/6 ft)·L = 11/72 ft²
Multiplying by 6/ft tells us the new length:
L = (6/ft)·11/72 ft² = 11/12 ft
The original length is 2/3 ft shorter so is ...
L -2/3 ft = 11/12 ft -8/12 ft = 3/12 ft
L = 1/4 ft
PLZ HELP ME
MEH WILL MARK DA FIRST PERSON DAT ANSWERS IT CORRECTLY!!!!! :3
Answer:
r = 10/3c = 10/3·gStep-by-step explanation:
Pick any point that is clearly on the line. (g, c) = (12, 40) is the end point, so will do nicely. The value of r (the constant of proportionality) is the slope of the line, which is the ratio of the y-value of the point to the x-value (or c to g, in this case).
r = c/g = 40/12 = 10/3 . . . . . . the exact value of the constant r
Then your equation is ...
c = 10/3g . . . . . . put the value of r where r is in the equation you are given
Which rule yields the dilation of the figure KLMN centered at the origin
ANSWER
B. [tex](x,y)\to (0.5x,0.5y)[/tex]
EXPLANATION
From the diagram, MN=6 units.
and M'N'=3 units.
The quadrilateral KLMN was dilated to obtain K'L'M'N'
We can observe that,
[tex] |M'N'| = 0.5|MN| [/tex]
This means that the scale factor of the dilation is 0.5.
The mapping for the dilation is :
[tex](x,y)\to (0.5x,0.5y)[/tex]
The correct answer is B.
Need help with number 3
Answer:
(3) y = 12
Step-by-step explanation:
The circle is centered at (x, y) = (-5, 2) and has a radius of 10. Hence the most positive y-value is y = 12.
___
Complete the squares of x-terms and of y-terms.
(x^2 +10x) + (y^2 -4x) = 71
(x^2 +10x +25) + (y^2 -4x +4) = 71 + 25 + 4
(x +5)^2 +(y -2)^2 = 10^2 . . . . . . . a circle centered at (-5, 2) with radius 10.
What is the area of the rectangle shown on the coordinate plane?
Enter your answer in the box. Do not round at any steps.
The answer is:
The area of the rectangle is equal to [tex]12units^{2}[/tex]
Why?To find the area of the rectangle shown on the coordinate plan, first, we need to calculate the distance between the points that conforms two of the sides of the rectable (base and height).
We can use any of the four vertex points shown on the coordinate plane, so, we will use the points:
1 - (-4,1)
2 - (-1,-2)
3 - (-3,-4)
Then, calculating the length of the sides, we have:
Base:
[tex]Base=distance(FirstPoint,SecondPoint)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}[/tex]
[tex]Base=\sqrt{(-1-(-4))^{2}+(-2-1)^{2}}\\\\Base=\sqrt{(3)^{2}+(-3)^{2}}\\\\Base=\sqrt{(9+9)}=\sqrt{18}units[/tex]
Height:
[tex]Height=distance(SecondPoint,ThirdPoint)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}[/tex]
[tex]Height=\sqrt{(-3-(-1))^{2}+(-4-(-2))^{2}[/tex]
[tex]Height=\sqrt{(-2)^{2}+(-2)^{2}[/tex]
[tex]Height=\sqrt{4+4}[/tex]
[tex]Height=\sqrt{8}units[/tex]
Therefore, calculating the are of the rectangle, we have:
[tex]Area=base*height\\\\Area=\sqrt{18unis}*\sqrt{units}=\sqrt{144}=12units^{2}[/tex]
Hence, the area of the rectangle is equal to [tex]12units^{2}[/tex]
Have a nice day!
Aswer:
The area of the rectangle is 12 sq. units
step-by-step explanation:
From the question :
we first find the length and width of the rectangle using the distance formula.
For the length we use the points
(-1,-2) and (-4,1)
[tex]l = \sqrt{( {x - x_1)}^{2} + ( {y - y_1)}^{2} } [/tex]
[tex]l = \sqrt{( { - 1 - ( - 4))}^{2} +{(-2 - 1)}^{2} } [/tex]
[tex]l = \sqrt{{3}^{2} +{( - 3)}^{2}}[/tex]
[tex]l = \sqrt{9 + 9} [/tex]
[tex]l = \sqrt{18} = 3\sqrt{2} \: units[/tex]
For the width, let us take the points (-6,-1) and (-4,1)
[tex]w = \sqrt{ {( - 6 - ( - 4))}^{2} + {(-1 - 1) }^{2} }[/tex]
[tex]w = \sqrt{ {2}^{2} + {( - 2)}^{2} }[/tex]
[tex]w = \sqrt{4+4}[/tex]
[tex]w = \sqrt{8 } = 2 \sqrt{2} \: units[/tex]
The area of the rectangle
[tex] = l \times w[/tex]
[tex]A = 3 \sqrt{2} \times 2\sqrt{2} [/tex]
[tex]A = 3 \times 2 \times 2[/tex]
[tex]A =12 \: sq.units[/tex]
The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?
In this sequence, the first term is [tex]a_1[/tex] and every successive term is determined by
[tex]a_n=a_{n-1}+d[/tex]
where [tex]d[/tex] is the common difference between terms. We have
[tex]a_{11}=a_{10}+d=a_{9}+2d=\cdots=a_5+6d[/tex]
so that
[tex]41=11+6d\implies6d=30\implies d=5[/tex]
Then
[tex]a_5=a_4+5=a_3+2\cdot5=\cdots=a_1+4\cdot5[/tex]
[tex]\implies11=a_1+20\implies a_1=-9[/tex]
Answer:
The first term is -13.
Step-by-step explanation:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
This is the case going from one term to the next. However, when, as in this problem, we have the fifth and the tenth term, this formula can be expanded, as the following way:
[tex]a_{n + m} = a_{n} + m*d[/tex]
So
[tex]a_{10} = a_{5} + 5*d[/tex]
[tex]41 = 11 + 5d[/tex]
[tex]5d = 30[/tex]
[tex]d = 6[/tex]
The common diference is 6.
To find the first term, we do:
[tex]a_{5} = a_{1} + 4*d[/tex]
[tex]11 = a_{1} + 4*6[/tex]
[tex]a_{1} = -13[/tex]
The first term is -13.
help, please?
I can't figure it out and I need the answer quick.
Answer:
f(x) ^-1 = 1/5 x
Step-by-step explanation:
f(x) = 5x
y =5x
To find the inverse, exchange x and y and solve for y
x =5y
Divide each side by 5
1/5x = 5y/5
1/5 x = y
1/5 x = f(x) ^-1
f(x) ^-1 = 1/5 x
Solve the Quadratic Equation.
x^2 = -4
Don't know where to start, would appreciate if someone would be able to explain the answer in detail!
Answer:
x = ± 2i
Step-by-step explanation:
The equation has no real roots, gut has complex roots
Given
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex]
= ± [tex]\sqrt{4(-1)}[/tex]
[ Note that [tex]\sqrt{-1}[/tex] = i ]
= ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{-1}[/tex] = ± 2i
I need help plss :)!
3wx^2
The third choice is the answer.
Answer :C
Answer:
3wx^2
Step-by-step explanation:
please help! explain the answer please
Answer:
a) area of sidewalk: 346.5 ft²
b) 278 bags
Step-by-step explanation:
The formula for the area of a circle is ...
A = π·r² . . . . . where A is the area and r is the radius of the circle. (The radius is half the diameter.)
There are a couple of ways to find the area of a "washer" (a circle with a hole in the middle). One is to subtract the area of the hole from the area of the larger circle. Another way is to find the circumference of the circle whose radius is the average of the inner and outer radii, and multiply that by the width of the washer (the difference of the outer and inner radii).
For the latter purpose, the formula for the circumference of a circle is ...
C = π·d . . . . . or, since the diameter is twice the radius, ...
C = 2π·r
___
a) Here, the diameter of the circle that is the center of the walkway is ...
28 ft + 3.5 ft = 31.5 ft
So, the circumference of that circle is ...
C = π·d = (22/7)·(31.5 ft) = 99 ft
Then the area of the walkway is ...
(99 ft)·(3.5 ft) = 346.5 ft²
__
b) 0.8 bags of concrete are required for each square foot, so we can find the number of bags by multiplying 0.8 times the number of square feet:
bags = 0.8 × 346.5 = 277.2
If only whole bags are available, then 278 bags of concrete will be the minimum number needed.
_____
Comment on the two methods of doing this calculation
If r1 and r2 are the inner and outer radii of the circles, then the area of the washer is π(r2² -r1²).
The centerline diameter will be (2r2 +2r1)/2 = r1 +r2, and the width of the washer will be (r2 -r1). Then the washer area will be π·(r1 +r2)·(r2 -r1). This latter expression can be "simplified" to π(r2² -r1²), a formula for the washer area that is identical to the one above.
a board that is 2 5/8 feet long is cut from a larger board that is 7 1/3 feet long. How much of the board remains?
Answer:
[tex]4\frac{17}{24}[/tex] feet
Step-by-step explanation:
Total length of the board = [tex]7\frac{1}{3}=\frac{22}{3}[/tex] feet
Length of board that is removed from the larger board = [tex]2\frac{5}{8}=\frac{21}{8}[/tex]
When a smaller board is removed, the length of the remaining board can be calculated using subtraction as:
Remaining Length of board = Total Length - Length of smaller board
= [tex]\frac{22}{3}-\frac{21}{8}\\\\\text{Taking LCM, which is 24}\\\\ =\frac{8(22)-3(21)}{24}\\\\ =\frac{113}{24}\\\\ =4\frac{17}{24}[/tex]
This means [tex]4\frac{17}{24}[/tex] feet of board remains after removing the smaller board from it.
Use the figure below to complete the following problem
Answer:
60
Step-by-step explanation:
<H + <T = 180
2x+ 60 + x + 30 = 180
3x + 90 = 180
3x = 90
x = 30
<T = x + 30 = 30 + 30 = 60
Answer
<T = 60
Can anyone please help me solve this problem about a graph? Please help immediately!!! :(
Answer:
Step-by-step explanation:
I think the first part of that is asking for the equation for the line of symmetry, although I do not have access to your drop down menu to know for sure! The axis of symmetry is the equation that splits the parabola into 2 parts that are mirror images of each other. In this type of parabola, it will be an "x = " equation. The line that splits the parabola in half is the line x = -2. The function is increasing where the y values are going up. This happens in the interval (-∞, -2].
The function is decreasing where the y values are going down. This happens in the interval [-2, ∞)
write a function to model the graph.
Answer:
[tex]f(x)=\left\{ \begin{array}{rcl}\dfrac{8}{3}x+4&\text{for}&x\le3\\\\-3(x-3)^2+12&\text{for}&x>3\end{array} \right.[/tex]
Step-by-step explanation:
The line to the left of x=3 goes up from 4 to 12 as x goes from 0 to 3. Thus, the slope of it is ...
slope = (12 -4)/(3 -0) = 8/3
It intersects the y-axis at y=4, so its equation is ...
y = (8/3)x +4
__
For x > 3, we observe that the curve falls 3 units (from 12 to 9) as x goes from 3 to 4, then falls 9 units (from 9 to 0) as x goes from 4 to 5. The slope of the curved portion at x=3 looks like it might be zero, suggesting a polynomial function instead of an exponential function.
We note that the change in the value of y=x^2 as x goes from 0 to 1 is 1, then as x goes from 1 to 2, it is 4-1 = 3 — 3 times the change in the first interval. This suggests a quadratic function that has been scaled by a vertical factor of -3, and had its vertex moved to (3, 12). Such a function is described by ...
y = -3(x -3)² +12
Then the graph is modeled by a piecewise function, defined as a line for x < 3, and as a quadratic curve for x > 3. Since the function is continuous at x=3, we can put "or equal to" signs on either or both of these boundaries. We choose to write it as ...
f(x) = (8/3)x +4, x ≤ 3; -3(x -3)² +12, x > 3.
____
The graph of our function is attached. It substantially matches the given graph.
Which would give the most accurate estimate of the area under a curve?
A. when the region is divided into a greater number of rectangles
B. when the region is divided into two rectangles
C. when the region is divided into five rectangles
D. when the region is divided into a smaller number of rectangles
It’s A the region one
Answer:
A). when the region is divided into a greater number of rectangles.
Step-by-step explanation:
This forms the basics of integration.
Integration can be use to calculate areas under the curve. To find the area under the curve we try to approximate the area under the curve by using rectangles. When we increased the number of rectangles of equal width of the rectangles, a better approximation of the area is obtained. We then find the area of each infinitesimally small rectangle and then integrate by taking two limits, the upper limit and the lower limit.
United States flags come in different sizes. Standard dimensions for a flag are a length to width ratio of 1 : 9 to 1. Flag 1 has a width of 1 foot and a length of 1.9 feet and Flag 2 has a width of 2.7 feet. What is the correct length of Flag 2?
Answer:
5.13 feet
Step-by-step explanation:
So, we have the full dimensions of flag #1, and we have the partial dimensions of flag #2, which should follow the same ratio as flag #1, since not indicated otherwise.
When you need to compare dimensions like that, the easiest way to proceed is to do a cross-multiplication. Let's say x is the length of flag #2 we're looking for. It's ratio over the width of flag #2 will be the same as the ratio of the length of flag #1 over its width, so:
[tex]\frac{x}{2.7} = \frac{1.9}{1}[/tex]
If we isolate x, we have x = (2.7 * 1.9) / 1 = 5.13 feet
Which makes sense since we know the result should be a bit less than 2.7 times 2.
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 2 cm. Find the area of the quadrilateral.
Answer:
24 cm²
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm)(2 cm) = 24 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
PLEASE HELP 80 POINTS!!
3a. Make a tree diagram using the bagel choice: Plain, Poppy, Wheat
Toppings: Tuna, Eggs, Chicken salad, cream cheese, butter.
3b. Write the sample space and the number of combinations possible.
SHOW WORK
Answer:
Bagel
plain
Tuna Eggs Chicken salad Cream cheese butter
Poppy
Tuna Eggs Chicken salad Cream cheese butter
Wheat
Tuna Eggs Chicken salad Cream cheese butter
3b
There are 15 combinations because tuna, eggs, chicken salad, cream cheese, and butter = 5
there are 3 different types of bagels plain poppy and wheat. with this information you can tell that the 5 combinations x 3 bagel types equal 15 total
find the measure of the angle indicated by the ?
Answer: 50 degrees.
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Then, you can find the missing angle "x" of the larger triangle (Observe the figure attached):
[tex]53\°+45\°+x=180\°\\x=180\°-53\°-45\°\\x=82\°[/tex]
We know that:
[tex]x+y+68\°=180\°[/tex]
Then, "y" you need to substitute values and solve for "y":
[tex]y=180\°-68\°-82\°=30\°[/tex]
Then the angle ? is:
[tex]?=180\°-30\°-100\°\\?=50\°[/tex]
ANSWER
?=50°
EXPLANATION
From the diagram,
x+45+53=180
x+98=180
x=180-98
x=82°
Using angles on a straight line property,
x+68+y=180
82+68+y=180
150+y=180
y=180-150
y=30°
Using the sum of interior angles of the triangle,
?+y+100=180
?+30+100=180
?+130=180
?=180-130
?=50°
Law of sines. Someone please explain to me how to do this
Answer:
0.5 cm
Step-by-step explanation:
You are given angles B and C and side b, so you can put those values into the given equation:
sin(105°)/(2 cm) = sin(15°)/c
Multiply this equation by c·(2 cm)/sin(105°) and you get ...
c = (2 cm)·sin(15°)/sin(105°) ≈ 0.535898 cm
c ≈ 0.5 cm
_____
Comment on the given equation
When using the Law of Sines to find side lengths, I prefer to write the proportion in a form with the side length of interest in the numerator:
b/sin(B) = c/sin(C)
or
c/b = sin(C)/sin(B)
Using either of these forms, it is one step to find the value of c: Multiply the equation by the inverse of the coefficient of c.
c = b·sin(C)/sin(B)
The equation of a line is y= -1/2x - 1 What is the equation of the line that is perpendicular to the first line and passes through the point (2, –5)?
Answer:
y=2x-9 or D
Step-by-step explanation:
To get the slope of the perpendicular line, you find the negative reciprocal. The negative reciprocal of -1/2 is 2.
Then, you need to find the y-intercept. Considering the line has to pass through the point (2,-5), you can use the slope to find that the y-intercept is -9.
Assume that you have a balance of $5000 on your Visa credit card and that you make no more charges. If your APR is 22% and each month you make only the minimum payment of 3% of your balance, then find a formula for the balance after t monthly payments.
A) 5000(0.952217)t
B) 5000(1.011117)t
C) 5000(0.987783)t
D) 5000(1.048883)t
Can someone explain to me how to solve this please
Answer:
C) 5000(0.987783)^t
Step-by-step explanation:
The monthly interest rate is the APR divided by 12, so is 22%/12 ≈ 0.018333.
Each month, the previous balance (B) has interest charges added to it, so the new balance is ...
balance with interest charges = B + (22%)/12×B = 1.018333×B
The minimum payment is 3% of this amount, so the new balance for the next month is ...
balance after payment = (1.018333B)(1 - 0.03) = 0.987783B
Since the balance is multiplied by 0.987783 each month, after t payments, the balance starting with 5000 will be ...
5000×0.987783^t . . . . . . . . . matches choice C