Can 7 cm 5 cm and 3 cm form a triangle?

Answers

Answer 1

Yes, the triangle can be easily formed for the sides 7 cm, 5 cm and 3 cm.

According to the side side side rule of triangle, if the sum of the any two sides of triangle is more than third side, it will form a triangle. Let us check the same by assuming side a to be 7 cm, side b to be 5 cm and side c to be 3 cm.

Side a + side b > side c

7 + 5 > 3

Add the digits in Left Hand Side of the equation

12 > 3

Side b + side c > side a

5 + 3 > 7

Add the digits in Left Hand Side of the equation

8 > 7

side c + side a > side b

3 + 7 > 5

Add the digits in Left Hand Side of the equation

10 > 5

We see that the two sides of the triangle are greater than third side, hence, it is possible to form the triangle.

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Related Questions

Please Help!!!
What is the volume of the box in the picture? (Volume= Length x Width x Height)

Answers

Answer: 72cm i think

Step-by-step explanation: L=6cm, W=2cm, H=6cm

6x2x6=72cm

It’s 72

Every time you have to do a volume question, you have to multiply all 3 sides and that will be your answer

What are the slope and the y-intercept of the linear function that is represented by the table? x y the slope is , and the y-intercept is. The slope is , and the y-intercept is. The slope is , and the y-intercept is. The slope is , and the y-intercept is.

Answers

From the linear function that is represented by the table, we can conclude that the slope is -2, and the y-intercept is 12.

Linear function

The linear function is an equation for a line that can be written by finding the slope between two points on that line, then finding the y-intercept by using the slope-intercept equation: y=mx+b, where b represents the y value of the y-intercept point.

Now we take a look at the following data:

X     Y

–3   18

0    12

3     6

6     0

We want to know the slope by picking two out of four given points, let's say we pick the first two points:

y - y₀ = m (x - x₀)

(18 - 12) = m (-3 - 0)

6 = m * -3

m = 6 / -3

m = -2

Thus the slope is -2.

Now we substitute the slope value to one of the points, let's say we pick the first point:

(x₀, y₀) = (-3, 18)

y - y₀ = m (x - x₀)

y - 18 = -2 (x - (-3))

y = -2x - 6 + 18

y = -2x + 12

Thus the y-intercept of the linear function is 12.

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please help me with this question

Answers

The distance from the home plate to the 2nd base will be 127.27 ft.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Now using the Pythagoras theorem we can find out the length of the other wall

b²=h²-p²

The distance from home plate to the 2nd base will be

b²=h²-p²

h² = b²+p²

h² = 2*90²

h² = 2*90²

h² = 2*8100

h² = 16200

h = 127.27

Hence The distance from the home plate to the 2nd base will be 127.27 ft.

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It is given that y varies directly as x. If y = 5 when x = 4 determine the constant of variation.

Answers

When y changes directly as x, the variation constant is 5/4.

What is constant of variation?

In a direct variation, the ratio of two variables; in an inverse variation, the product of two variables. The constant of variation k is used in the direct variation equations = k and y = kx, as well as the inverse variation equations xy = k and y =. A constant of variation (k) is a ratio that shows the connection between the independent and dependent variables (x and y) (y). If both variables have known values, it may be determined by dividing y by x. The constant of variation is the number that connects two variables that are either directly or inversely proportional to each other.

Here,

When one thing varies to another there is always a constant of variation. direct variation it is; y = kx

use the x,y values to find k

5 = 4k

5/4 = k

The constant of variation when y varies directly as x is 5/4.

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Consider the two linear functions reprsented by the table and the equations

Answers

Find the rise and run to determine the slope. Look up the y-intercept (the point where the line crosses the y-axis) Insert the value into the formula f(x)=mx+b.

How do you solve if an equation is a function?

For any input, a function will only have one or no outputs. The equation does not define a function if a given input has more than one output. Each value of x must have a maximum of one output value of y in order to be considered a function. To determine the slope of a graphed function, use the average rate of change formula.

The average rate of change from a to some other value x is what determines the instantaneous rate of change at some time[tex]x_{0} =a[/tex]. The average rate of change from x=a+h to x=a is y x = f(x) f(a) x a                     =f (a + h) f( a ) h if h = 0 and a = f ( a + h ) f (a) h are set.

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Which expression and quotient does the diagram model?

Answers

The diagram models the expression of option D: (x² + x - 2)/(x - 1) = x + 2.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given image is the dissection of an expression.

From the image it can be obtained that -

The area of the shadow of the fourth quadrant is equal to the width of the first quadrant multiplied by the length of the third quadrant.

So, the expression for the statement will be -

x² + x + x - x - 1 - 1 = (x + 1 + 1)(x-1)

x² + x - 2 = (x + 2) (x - 1)

(x² + x - 2)/(x - 1) = x + 2

Therefore, the expression obtained is (x² + x - 2)/(x - 1) = x + 2

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You purchase a new jet ski today. The value of that jet ski depreciates based on the function f(t) = 8,500(0.72)t, where t is measured in years after purchase. How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?

a
$3,716

b
$4,784

c
$4,927

d
$5,126

Answers

The solution is Option B.

The total amount of the jet ski worth after 7/4 years is given by the equation A = $ 4,784

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the total amount of the jet ski after 7/4 years be A

Now , the equation will be

Let the number of years be x

The The value of that jet ski depreciates by function f ( x ) = 8,500 ( 0.72 )ˣ

So , the equation is f ( x ) = 8,500 ( 0.72 )ˣ

Now , when x = 7/4 years

Substitute the value of x in the equation , we get

f ( 7/4 ) = 8,500 ( 0.72 ) ^ ( 7/4 )

f ( 7/4 ) = 8,500 ( 0.72 ) ^ ( 1.75 )

f ( 7/4 ) = 8,500 x 0.5627712059

f ( 7/4 ) = $ 4,783.555

Now , rounding to the nearest dollar , we get

f ( 7/4 ) = $ 4,784

Hence , the amount after 7/4 years is $ 4,784

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3.1=x=-2
What is x
Three point one equals x equals negative two.
What is the answer to x

Answers

Answer: x = 6.2

Step-by-step explanation: don't ask how I know

What is the table of 5?

Answers

So on solving the provided question we can say that -  table of 5 are as follows - 5,10,15,20,25,30,35,40,,45,50

What is table?
The definition of a mathematical table is a set of numbers that represents the outcome of a computation with different inputs. Numbers and descriptions that are grouped in rows and columns of data. The table of ten pattern is simple to recall. The numbers are 10, 20, 30, 40, 50, 60, 70, 80, 90, etc. in that order. Relationships between data objects are represented using value tables. In your science lesson, you can make use of the values table. Researchers and scientists use tables of values to record data and hunt for patterns in the data. This pattern may then be applied to forecasting.

table of 5 are as follows  -

5,10,15,20,25,30,35,40,,45,50

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In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 16 feet of fence for the shortest side and 20 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen?

Answers

The total perimeter of fencing that is needed for the entire animal pen is equal to 48 feet.

How to determine the feet of fencing that is needed for the entire animal pen?

In order to determine the feet of fencing that is needed for the entire animal pen, we would have to calculate the third side of this right triangle pen by applying Pythagorean's theorem:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right triangle.

16² + b² = 20²

b² = 400 - 256

b = √144

b = 12 feet.

How to calculate the perimeter of this triangle?

Mathematically, the perimeter of a triangle can be calculated by using this mathematical expression:

Perimeter of a triangle = a + b + c

Where:

a, b, and c represents the length of sides of a triangle.

Perimeter of a triangle = 16 + 20 + 12

Perimeter of a triangle = 48 feet.

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On Monday you ran to a playground 2 1/4 mi from your house. It took you 22 min to run there and 25 min to run back home. on Tuesday you ran the entire 4 1/2 mi at a constant speed of 6 1/4. What must you do to compare the times it took to go to and from the playground each day

Answers

You can conclude that it took you less time on Tuesday to run to and from the playground than it did on Monday.

What is the distance?

Distance is defined as the product of speed and time.

To compare the times it took to go to and from the playground each day, you need to calculate the total time for each day.

On Monday, it took 22 minutes to run to the playground and 25 minutes to run back home, for a total time of 47 minutes.

On Tuesday, you ran the entire 4 1/2 miles at a constant speed of 6 1/4 miles per hour, so you can use the formula:

distance / speed = time.

In this case, 4.5 miles / 6.25 mph = 0.72 hours or 43.2 minutes.

Therefore, you can see that it took you 47 minutes on Monday, and 43.2 minutes on Tuesday to run to and from the playground.

Hence, you can conclude that running to and from the playground took you less time on Tuesday than it did on Monday.

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Explain the meaning of the expression p + 0.08p.

Answers

Answer:

The expression p + 0.08p can be interpreted as "p plus 8% of p". Mathematically, this expression is equal to 1.08p, which is the same as saying "p multiplied by 1.08".

What are the zeros of the function y = 2x*2 +7x + 1?

Answers

The zeros of the function y = 2x²+7x+1 are -0.35 and -3.35

What are zeros of a quadratic function?

The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.The zeros are often called the roots, solutions, or x-intercepts of the function.

Therefore when y = 0

2x²+7x+1 = 0

using formula method

a= 2, b= 7 and c = 1

x = (-b ± √b²-4ac )/2a

x= -7± √ -7²-4×2×1)/2×2

x= (-7± √ 49-8)/4

x= (-7± √41)/4

x= (-7+√41)/4 or (-7-√41)/4

x =( -7+6.4)/4

or (-7-6.4)/4

x = -1.4/4 or -13.4/4

x = -0.35 or -3.35

therefore the zeros of the function are -0.35 and -3.35

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Consider the triangles FGH and IJH where FGH ~ IJH
step one: find x

Answers

The values of x = 14 and y = 6.

What are Similar Triangles?

Triangles that resemble one another but may not be exactly the same size are said to be similar triangles. When two objects have the same shape but different sizes, they can be said to be similar. 

If ΔABC and ΔPQR are two similar triangles

=> AB/PQ = BC/QR = AC/PR

Here we have

ΔFGH and ΔIJH are two similar triangles

FG/IJ = GH/JH = FH/HI  

From the given data,

6/3 = 12/y = x/7    

Take 6/3 = x/7      

Do cross multiplication

=> 3x = 42

=> x = 14  

Take 6/3 = 12/y  

Do cross multiplication

=> 6/3 = 12/y  

=> 6y = 36

=> y = 6  

Therefore,

The values of x = 14 and y = 6.

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The tree diagram represents the sample space for the repeated experiment of a coin being tossed 4 times.

tree diagram for sample space for coin tossed 4 times

Determine P(at least 3 tails).

0.025
0.0625
0.125
0.3125

Answers

The Probability of P(at least 3 tails) is 0.3125.

The correct option is (D).

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total outcome= 16

Now, P( less than 3 tails)= 11 /16

So, P(at least 3 tails) = P( x ≥ 3)

= 1 - P(x < 3)

= 1- 11/ 16

=  5/16

= 0.3125

Hence, the Probability is 0.3125

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Cody's Auto Wash had revenues of $871 from 67 customers. In all, how many customers
does Cody's Auto Wash need to serve in order to have a total of $1,716 in revenue? Assume
the relationship is directly proportional.

Answers

Answer: 132

Step-by-step explanation:

$871 divided by 67= 13
13= how much money each person spends

so we 1716 divided by 13= 132

Answer:

132

Step-by-step explanation:

I divided $871 by 67 customers and got $13 each person . Then, I divided 1716 by 13 to find out how many people was needed to get the total number of customers needed.

7/24 Is closer to 1/2٫0٫1?

Answers

Answer:

Step-by-step explanation:

its closed to 1/2 as 12/24

How to convert repeating decimals to fractions on a calculator?

Answers

The calculator provides a tool to help the user convert the repeating decimals to fractions.

What exactly are a decimal and a fraction?

A decimal is composed of a whole number and a fraction and is separated by a decimal point.

A fraction is a part of a number. It shows us the parts of a whole of something.  

How do I convert the repeating decimals to fractions?We try to convert 1.2121212121 to a fractionPress the numbers above until we see the left-hand arrow.Then click the equal sign (=).The calculator leads you to the answer  [tex]\frac{40}{33}[/tex] .To get the mix fraction, press Shift and S-D on the calculator.It leads to the answer [tex]1\frac{7}{33}[/tex]How about 0.8166666666?We can try the same steps.Press 0.81 and repeatedly press 6 till we see the left-hand arrow.Then click the equal sign (=).It leads to the answer

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Which of the following are quadratic equations? (i) x^ 2 + 6 x − 4 = 0 (ii) √ 3 x^ 2 − 2 x + 1/ 2 = 0 (iii) x^ 2 + 1/ x^ 2 = 5 (iv) x − 3/ x = x ^ 2 (v) 2 x^ 2 − √ 3 x + 9 = 0 (vi) x ^ 2 − 2 x − √ x − 5 = 0 (vii) 3 x ^ 2 − 5 x + 9 = x 2 − 7 x + 3 (viii) x + 1 x = 1 x+1x=1

Answers

Answer:  

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants, and x is a variable.

The equations that are quadratic equations are:

(i) x^ 2 + 6 x − 4 = 0

(v) 2 x^ 2 − √ 3 x + 9 = 0

The equations that are not quadratic equations are:

(ii) √ 3 x^ 2 − 2 x + 1/ 2 = 0

(iii) x^ 2 + 1/ x^ 2 = 5

(iv) x − 3/ x = x ^ 2

(vi) x ^ 2 − 2 x − √ x − 5 = 0

(vii) 3 x ^ 2 − 5 x + 9 = x 2 − 7 x + 3

(viii) x + 1 x = 1

In (ii) √ 3 x^ 2 − 2 x + 1/ 2 = 0 the coefficient of x^2 is not a real number.

In (iii) x^ 2 + 1/ x^ 2 = 5 the equation is not in the form of ax^2 + bx + c = 0

In (iv) x − 3/ x = x ^ 2 the equation is not in the form of ax^2 + bx + c = 0

In (vi) x ^ 2 − 2 x − √ x − 5 = 0 the equation is not in the form of ax^2 + bx + c = 0

In (vii) 3 x ^ 2 − 5 x + 9 = x 2 − 7 x + 3 both sides are not equal

In (viii) x + 1 x = 1 the equation is not in the form of ax^2 + bx + c = 0

So, the equations that are quadratic equations are (i) and (v).

Step-by-step explanation:

The population of Brownsville, Texas increased by 41 thousand
people from 1990 to 2000. In 2000, the population of Brownsville
was 140 thousand people. Write an equation to find the population
of Brownsville in 1990. Then use mental math to solve the equation.

Answers

P = 140,000 - 41,000

P = 99,000

The population of Brownsville in 1990 was 99,000 people.

What is the formula for finding the area of a triangle with an unknown height?

Answers

The formula for finding the area of a triangle with an unknown height is: Area = (Base * Height) / 2. This formula uses the base length of the triangle, multiplied by the height of the triangle, then divided by 2.

The formula for finding the area of a triangle with an unknown height is: Area = (Base * Height) / 2. This formula uses the base length of the triangle, multiplied by the height of the triangle, then divided by 2. To use this formula, start by determining the base length of the triangle. This is the length of any one side of the triangle. Once the base is determined, use the formula to calculate the area. In the formula, the base is multiplied by the height of the triangle. Since the height is unknown, use the Pythagorean Theorem to calculate it. The Pythagorean Theorem states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. Once the hypotenuse is known, the height can be found by using the formula (Height = Hypotenuse - Base) / 2.

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Isabelle and Hudson both wrote essays Isabelle worked for 55 minutes and wrote an average of 16 words per minute. Hudson worked for 80 minutes and wrote an average of 12 words per minute. a) Who wrote more words in total? b) How many more words did this person write?​

Answers

a. The person who wrote more words in total will be Hudson.

b. Hudson wrote 80 more words

How to illustrate the word problem?

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Isabelle worked for 55 minutes and wrote an average of 16 words per minute. The total words would be:

= 55 × 16

= 880

Hudson worked for 80 minutes and wrote an average of 12 words per minute. The total words will be:

= 80 × 12

= 960

The difference will be:

= 960 - 880

= 80

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Write the number 60 as a product of its prime factors in the same way. Write the factors in order, from smallest to largest

Answers

The prime factorization of 60 from smallest to largest is  2×2×3×5.

What is prime factorization?

Prime factorization is the technique of expressing a number as the product of prime numbers. The only two components in prime numbers are the number itself and the number itself. Prime numbers include, for instance, 2, 3, 5, 7, 11, 13, 17, 19, and so forth. Any number can be represented as a sum of prime numbers using prime factorization.

The prime factorization of the number 60 is,

60 = 6×10.

60 = 2×3×2×5.

60 = 2×2×3×5.

60 = 2²×3×5.

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Denise is comparing a salaried job offer for $1,500 a week to a wage of $55 per hour. Which equation
would help her find the "break-even point" where each offer would be equal?
A. 1500 = 55 + 2H
B. 1500 ÷ 10 = 55H
C. 1500 = 55H
D. 1500H = 55(40)
E. 1500 - H = 55 x 8

Answers

Answer:

D. 1500H = 55(40)

Step-by-step explanation:

This equation represents the point where the total pay from the salaried job offer and the total pay from the hourly wage job offer are equal.

It can be read as : total pay of salaried job = total pay of hourly job.

On the left side of equation, 1500 is the weekly salary, and on the right side 55 is the hourly rate and 40 is the number of hours per week.

How do you write 0.02 in exponential form?

Answers

The given number 0.02 can be written in exponential form as [tex]2 \times 10^{-2}[/tex] , because to express small number in exponential form power of 10 notation is used .

To write the number 0.02 to exponential form ,

the first step is to move the decimal point to right until it is after the first non zero digit.

In this number we move the decimal point to move two spaces to right.

So , the number becomes ; [tex]\frac{2}{100}[/tex] ;

Now , we multiply the number 2 we created by 10 having exponent of -2. we know that , Whenever decimal point moves to right, the exponent of 10 will be a negative exponent.

The number after the decimal point is always equal number of spaces  decimal point moves.

So , the final exponential form of 0.02 is [tex]2 \times 10^{-2}[/tex] .

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Estimate the sum of 2 7/9 and 2 3/4. Explain how u found ur estimate.

Answers

add the whole numbers 2&2=4
combine fractions : 7/9+3/4=55/36
simplify the fraction: 55/36= 55-36=remainder of 19
1 19/36

add the whole number and fraction to get
5 19/36

5 and 19 thirtysixths

does someone mind helping me with this question? Thank you!

Answers

Answer:

325 adults and 612 students entered the school play

Step-by-step explanation:

1st equation: x is the number of adults and y the number of students.

2nd equation: Students times what they payed + adults times what they payed:

1st:          x + y = 937

2nd:       2x + 0.75y = 1109

x = 937 - y

Now let's replace x for (937 - y) in the 2nd equation, to find out the value of y:
2(937 - y) + 0.75y = 1109

1874 - 2y + 0.75y = 1109

1874 - 1.25y = 1109

-1.25y = 1109 - 1874

-1.25y = -765 (multiply -1)

1.25y = 765

y = 765 / 1.25

y = 612

Now that we found the y value, let's replace it in the 1st equation to find out the value of x:

x + 612 = 937

x = 937 - 612

x =  325

If you want to double check it, you can replace both in the 2nd equation, to make sure:
2 * 325 + 0.75 * 612 = 1109

650 + 459 = 1109  (checked)

Triangle BMS has vertices B(-1, 0), M(-1, 1), and S(1, -6). Triangle BMS is dilated
by a scale factor of 4.5 with the origin as the center of dilation. What are the
new coordinates of the vertices of B'M'S'?
a B'(4.5, 0), M'(-4.5, 4.5), S'(-4.5, 0)
bB'(-4.5, 0), M'(-4.5, 4.5), S'(4.5, -27)
cB'(4.5, 0), M'(-4.5, 4.5), S'(4.5, 0)
dB'(-4.5, 0), M'(4.5, 4.5), S'(4.5, 0)

Answers

Using the provided coordinates and the scaling factor, The answer is option b. B'(-4.5, 0), M'(-4.5, 4.5), S'(4.5, -27).

What do you mean by transformation?

In mathematics, a transformation refers to a function or a mapping that takes an input and produces an output. The input and output can be geometric shapes, vectors, or functions, and the transformation can change their position, size, or shape. Examples of transformations include translation, rotation, scaling, and reflection. In physics and engineering, transformation also refer to mathematical operations used to change a system's variables from one set of coordinates to another set of coordinates.

What do you mean by scaling?

Scaling refers to the process of enlarging or reducing an object in size, either uniformly or non-uniformly. In mathematics, scaling is often represented by a scaling factor, which is a number used to multiply the coordinates of the object. Scaling can be applied to geometric shapes, vectors, and functions, and it can be done in one or multiple dimensions. Uniform scaling means that the object is scaled by the same factor in all dimensions. Non-uniform scaling means that the object is scaled by different factors in different dimensions.

B(-1, 0), M(-1, 1), and S(1, -6)

scaling factor (k) = 4.5

after scaling,

B'(-4.5, 0), M'(-4.5, 4.5), S'(4.5, -27)

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Marc ordered 3 CDs from music catalog and paid a fixed shipping fee of $6.99. His tot for the order was $36 96. What is the cost if each CD?

Answers

Step-by-step explanation:

so this is really simple

Reasoning Tommy earned ​$57.00 in interest after 5 years on a principal of ​$300. His simple interest rate is 3.8​%. Jane earned ​$93.60 in interest after 3 years on a principal of ​$800. Her simple interest rate is 3.9​%. Which bank would you rather​ use, Tommy's or​ Jane's? Explain your reasoning.

Answers

If Reasoning Tommy earned ​$57.00 in interest after 5 years on a principal of ​$300.  The bank you would  rather​ use is: Jane's, because  her bank offers a better interest rate.

What is interest rate?

Interest rate can be defined as the rate or percentage that enables a borrower to know the interest they will pay on the amount loaned to them. On the other hand interest rate means the rate a person earn on their saved amount.

Based on the given scenario i would make use of Jane bank based on the fact that Jane bank offers a better interest than Tommy bank.

Therefore Jane bank is better.

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The complete question is:

Tommy earned $30.40 in interest after 4 years on a principal of $200. His simple interest rate is 3.8%. Jane earned $81.90 in interest after 3 years on a principal of $700. Her simple interest rate is 3.9%. Which bank would you rather use? Explain your reasoning.

answer choices

Jane's because her bank offer a better interest rate.

Jane's because her bank accepted a smaller principal.

Tommy's because his bank paid more interest.

Tommy's because his investment took less time.

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