Answers
whichWe define:
• A = original area = 100 sq units,
,• A' = dilated area.
If we dilate a trapezoid in a scale factor k, the area scales as:
[tex]A\rightarrow A^{\prime}=k^2\cdot A\text{.}[/tex]Using the area A = 100 sq units, we have:
[tex]\begin{gathered} A^{\prime}=k^2\cdot100\text{ sq units,} \\ k^2=\frac{A^{\prime}}{100\text{ sq units}}, \\ k=\sqrt[]{\frac{A^{\prime}}{100\text{ sq units}}}\text{.} \end{gathered}[/tex]This formula gives as the scale factor k for witch we must dilate the trapezoid to have an area A'.
1) For A' = 6400 sq units, we have:
[tex]k=\sqrt[]{\frac{6400\text{ sq units}^{}}{100\text{ sq units}}}=\sqrt[]{64}=8.[/tex]2) For A' = 100 sq units, we have:
[tex]k=\sqrt[]{\frac{100\text{ sq units}^{}}{100\text{ sq units}}}=\sqrt[]{1}=1.[/tex]3) For A' = 25 sq units, we have:
[tex]k=\sqrt[]{\frac{25\text{ sq units}^{}}{100\text{ sq units}}}=\sqrt[]{\frac{1}{4}}=\frac{1}{2}.[/tex]4) For A' = 900 sq units, we have:
[tex]k=\sqrt[]{\frac{900\text{ sq units}^{}}{100\text{ sq units}}}=\sqrt[]{9}=3.[/tex]Answers
• 8
,• 1
,• 1/2
,• 3
Related Questions
What is the expanded form of this number?
14.702
here is confusing it wont paste right but try to help tysm
(1×10)+(4×1)+(7×110)+(2×1100)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 10 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis
(1×10)+(4×1)+(7×110)+(2×11,000)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 10 right parenthesis plus left parenthesis 2 times 1 over 1000 right parenthesis
(1×10)+(4×1)+(7×1100)+(2×1100)
left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 100 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis
(1×10)+(4×1)+(7×1100)+(2×11,000)
Answers
The expanded form of this number 14.702 will be (1 × 10) + (4 × 1) + (7/10) + (2/1000)
How to illustrate the information?It should be noted that expanded form simply means breaking down of the number given into different units.
Therefore, based on the information illustrated. This will be:
14.702 will be:
= (1 × 10) + (4 × 1) + (7/10) + (2/1000)
= 10 + 4 + 0.7 + 0.002
Note that your options aren't written well.
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Which table represents a proportional relationship?
Responses
x 1 2 3 4 5
y 4 5 6 7 8
r 2 3 4 5 6
s 3 5 6 8 9
b 2 3 8 9 14
c 4 6 16 18 28
I don't know.
Answers
The tables that represent a proportional relationship are :
x 1 2 3 4 5
y 4 5 6 7 8
b 2 3 8 9 14
c 4 6 16 18 28
Which tables have a proportional relationship?Two variables have a proportional relationship when the ratios of the rate of change of the variables are constant.
Ratio = change in the value of y / change in the value of x
First table:
(5 - 4) / (2 - 1) = 1
(6 - 5) / (3 - 2) = 1
(7 - 6) / (4 - 3) = 1
(8 - 7) / (5 - 4) - 1
Second table:
(5 - 3) / (3 - 2) = 2
(6 - 5) / (4 - 3) = 1
(8 - 6) / (5 - 4) = 2
(9 - 8) / (6 - 5) = 1
Third table:
(6 - 4) / (3 - 2) = 2
(16 - 6) / (8 - 3) = 2
(18 - 16) / (9 - 8) = 2
(28 - 18) / (14 - 9) = 2.
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The function y= (x - 4)^2 + 3 is a transformation of the function y = x^2 . How is the function’s vertex affected by the transformation?
Answers
The transformation has a horizontal shift right by 4 units and vertical shift upwards by 3 units.
What do you mean by transformation of a function ?
The modification of a graphed function to create a different version of the parent function is known as transformation.
For the given condition :
The function is y = (x - 4)² + 3.
The above function is transformed from the parent function which is y = x².
We know that , the horizontal shift depends on the value of h. The horizontal shift and it is described as:
y = f (x + h)
Then , the graph of function will be shifted to left by h units.
and
y = f (x - h)
Then , the graph of function will be shifted to right by h units.
If we compare both functions i.e., y = (x - 4)² and y = f (x - h), their is a difference of -1 , it meant shift is right by 4 units.
Now , we know that , the vertical shift depends on the value of k. The vertical shift is described as:
y = f(x) + k
Then , the graph of function will be shifted up by k units.
and
y = f(x) - k
Then , the graph of function will be shifted down by k units.
Here , if we compare functions i.e., y = (x - 4)² + 3 and y = y = f(x) - k , we find out that the graph of function will be shifted upwards by 3 units.
Therefore , the transformation has a horizontal shift right by 4 units and vertical shift upwards by 3 units.
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A projectile is launched in the air. The function h(t) = -16t^2 + 32t + 128 gives the height, h, in feet, of the projectile t seconds after it is launched. After how many seconds will the projectile land back on the ground?
Help is always greatly appreciated. :)
Answers
Answer:
4 seconds
===========================
Given is the
quadratic function
, which has a graph of parabola.
It has two
x-intercepts
, with the greater one representing the
projectile on the ground, at h(t) = 0
.
Let's
solve
the equation:
- 16t² + 32t + 128 = 0
t² - 2t - 8 = 0
t² - 2t + 1 - 9 = 0
(t - 1)² = 9
t - 1 = 3 and t - 1 = - 3
t = 4
and t = - 2
The root with the greater value is
t = 4
, which represents the time we need.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:4 \:\: sec [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
height of an object projected in air with time is represented by the given equation :
[tex]\qquad\displaystyle \tt \rightarrow \: h(t) = - 16 {t}^{2} + 32t + 128[/tex]
The height when the object hits the ground will be 0
so, just equate the equation with 0, and we will get the value of t (time) when the projectile will be back to ground.
[tex]\qquad\displaystyle \tt \rightarrow \: - 16 {t}^{2} + 32t + 128 = 0[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: - 16( {t {}^{2} - 2t}^{} - 8) = 0[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: t {}^{2} - 2t - 8 = 0[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: t {}^{2} - 4t +2 t - 8 = 0[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: t(t - 4) + 2(t - 4) = 0[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: (t - 4)(t + 2) = 0[/tex]
So,
[tex]\qquad\displaystyle \tt \rightarrow \: t = 4 \: \: \: \: or \: \: \: \: t = - 2[/tex]
but since time can't be negative, t = 4 seconds
The object will be back on ground after 4 seconds.
What is the absolute value of –8? Use the number line to help answer the question.
Answers
The absolute value of (-8) would be 8 on number line.
The absolute value of any number represented on number line is given as the distance of the number from zero on a number line, when counted on whichever side it is present that is either negative or positive. In mathematical notation, absolute value is defined as the modulus of the number, enclosed in two straight lines. For example: |-8| or |8| would have absolute value 8 even though both the numbers are represented on negative and positive side of zero respectively on the number line. The absolute value of any number which is also a real number is the non-negative value of that number irrespective of its sign. Number line figure is attached below.
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Write a function store_digits that takes in an integer n and returns a linked list where each element of the list is a digit of n.
Answers
def store_digits(n):
"""Stores the digits of a positive number n in a linked list.
>>> s = store_digits(1)
>>> s
Link(1)
>>> store_digits(2345)
Link(2, Link(3, Link(4, Link(5))))
>>> store_digits(876)
Link(8, Link(7, Link(6)))
"""
"*** YOUR CODE HERE ***"
1 = Link.empty
while n > 0:
1 = Link(n % 10, 1)
n //= 10
return 1
Store Digits
In some programming languages you have to declare a variable before using them or define the information that will be stored in it, e.g., a number. However, in Python we just need to type the name of our variable, followed by an equals sign and a value to assign to it.
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1. Find the value of x and the perimeter of the square.
2X
7x - 15
Answers
A square has 4 congruent side lengths. This means that each side will be the same length. Therefore, we can set the two lengths equal to each other.
[tex]S=S[/tex]
[tex]7x-15=2x[/tex]
Isolating a variable: rearranging an equation so that the variable is by itself
done by performing inverse operations3 Step Solving process:
1. Collect like terms
2. Perform inverse operations
3. Simplify if necessary
[tex]7x-2x-15=0[/tex]
[tex]5x=15[/tex]
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=3[/tex]
The value of x = 3
The perimeter can be found by adding all of the side lengths. A square has 4 sides.
a + a + a + a = P
However, we know that a square has congruent sides so we can manipulate this formula:
4a = P - where a is equal to the side length
Using a previous equation we know that a side length is equal to 2x and we know the value of x, to be 3. Therefore, a side length must be 6.
we can now input the value of the side length into the formula.
[tex]4(6)=P[/tex]
[tex]24=P[/tex]
The perimeter of the square is 24.
the true average diameter of ball bearings of a certain type is supposed to be .5 in. a one-sample t test will be carried out to see whether this is the case. what conclusion is appropriate in each of the following situations? a. n
Answers
The null hypothesis should not be rejected. There is insufficient evidence that the true diameter differs from 0.5 inches.
We are given that,
n = 15
t-value = 1.66
Significance level;α = 0.05
So, DF = n - 1 = 15 - 1 = 14
In the attached one-sample t-table, we can see that the p-value of 0.06
corresponds to a t-value of 1.66 and a DF of 14
Due to the P-value of 0.06, it is greater than the significance level of 0.05. Based on the results, we are not rejecting the null hypothesis. There is insufficient evidence to conclude that the true diameter in active attachment is different from 0.5
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HELP PLS,
Alexandra signed up for a streaming music service where there's a fixed cost for monthly membership and a cost per song downloaded.
Answers
Answer:
D.
Step-by-step explanation:
7.99 is the basic fixed cost per month. this is charged, even if there are no songs (x = 0) downloaded.
and so, 1.75 is the cost per downloaded song in addition to the basic fixed cost. so, yes, the number of downloaded songs has to be multiplied by the cost for a single song to get the total.
and so, 1.75 is the change in the total cost for every automakers download (every time x is increased by 1).
simplify - (5+√2) (3+√5)
Answers
simplify + 3 root 20 +4root5
Answers
Answer:
Step-by-step explanation:
[tex]3\sqrt{20} + 4\sqrt{5}[/tex]
1st: Split up the numbers under the radical into possible factors.
[tex]3\sqrt{5*4} + 4\sqrt{5}[/tex]
2nd: Take out the perfect square (in this case 4)
[tex]3*2\sqrt{5} + 4\sqrt{5}[/tex]
3rd: simplify
[tex]6\sqrt{5} + 4\sqrt{5}[/tex]
4th: Combine like terms
[tex]10\sqrt{5}[/tex]
Answer:
[tex]\sf 10\sqrt{5}[/tex]
Step-by-step explanation:
Simplifying the radicals:Prime factorize 20 and simplify 3√20
[tex]\sf 3\sqrt{20} = 3\sqrt{2*2*5}=3*2*\sqrt{5}=6\sqrt{5}[/tex]
[tex]\sf 3\sqrt{20}+4\sqrt{5}=6\sqrt{5}+4\sqrt{5}[/tex]
[tex]\sf = 10\sqrt{5}[/tex]
I REALLY NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!
Answers
The area of the rectangles A,B, C are 8 cm , 3cm and 15 cm , whereas the area of the enlarged rectangle A,B,C are 32 cm ,12 cm and 60cm
The relation between the area of the both original and the enlarged is the area of the enlarged rectangle is 4 times the area of the original rectangle.The problem we are dealing with is area what is referred to as the amount of space occupied by a two-dimensional figure, it is the amount that measures the number of unit squares that surround the surface of a closed figure. The standard unit of the region is square units which are generally spoken to as square inches, square feet. For the area of the rectangle we multiply the length of the rectangle by the width of the rectangle.
Area= l x b
for rectangle A : 4 x2 = 8 cm, for B : 3 x 1 = 3 cm and for C: 5 x 3 = 15 cm
As we increase each dimension by 2 times:
For the enlarged rectangle A : 8 x4 = 32 cm ,B : 6 x 2 = 12 cm and C: 10 x 6 = 60 cm .
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What is the probability of obtaining a sum of at least nine when rolling a pair of dice (enter the probability as a fraction )
Answers
Total number of possible outcomes:
[tex]6\cdot6=36[/tex]From those 36 possible outcomes the next 10 sum of at least 9 ( a number greather than or equal to 9):
[tex]\lbrace(3,6),(4,5),(4,6),(5,4),(5,5),(5,6),(6,3),(6,4),(6,5),(6,6)\rbrace[/tex]Then, the probability of obtaining a sum of at least nine when rolling a pair of dice is:
[tex]P=\frac{10}{36}=\frac{5}{18}[/tex]Determine the value of y in the inequality.
18 + 3y < 27
y > 3
y < 3
y > −9
y < −9
Answers
Answer:
y < 3
Step-by-step explanation:
Mark walked 21,129 feet in one hour. At that speed about how many miles will he walk in two hours?
Answers
Answer:
8.00340909
Step-by-step explanation:
since 21129 was walked in one hour the in two hours 42258 wouldve been walked so that means mark walked a little over 8 miles
hope this helped
have a good day^^
All side lengths of ΔJKL equal 2 units. A transformation maps ΔJKL to ΔJ'K'L'. The length of side J'K' is 5 units. Is this a rigid transformation?
No, there is no one-to-one mapping of all the points of the pre-image to the image.
No, at least one segment length is not preserved, making this a nonrigid transformation.
Yes, the vertices of the pre-image map to the vertices of the image.
Yes, all of the side lengths of the pre-image are proportionate to the image.
Answers
Answer: No, at least one segment length is not preserved, making this a nonrigid transformation.
Step-by-step explanation: A rigid transformation implies that both the shape and size are not changed. The second answer is right because the length of segment JK (2 units) is not preserved when mapped onto J'K' (5 units).
a newborn kitten weights about 1/4 pound. There are 0.45 kilograms in 1 pound. If a mother cat has a litter of 6 kitten. What is the approximate total weight of the litter of 6 kittens in kilograms.
Answers
The approximate total of weight of the litter of 6 kittens 0.675kg
What is Weight ?
The force exerted on an object by gravity is known as its weight. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
Given,
The weight of one newborn kitten = 1/4 pounds
The value of pound in kilograms = 1pound = 0.45kg
convert the weight from pound to kilograms = 1/4 x 0.45
= 0.1125kg
Now, to find out total weight of litter of 6 kitten in kilograms
= 0.1125 x 6
= 0.675kg
Hence, The approximate total weight of the litter of 6 kittens in kilograms is 0.657kg
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Each Marble bag sold by Rita's Marvel company contain two green marbles or every three orange marbles if a bag has 15 orange marbles how many green marbles does it contain
Answers
The number of green marbles in the bag is 10
How to determine the number of green marbles?From the question, we have the following parameters:
Green marble = 2Orange marble = 3Total number of orange marbles in a bag = 15The given parameters can be represented using the following ratio
Ratio = Green marble : Orange marble
So, we have
Green marble : Orange marble = 2 : 3
When there are a total number of 15 orange marbles in a bag, then we have
Green marble : 15 = 2 : 3
Multiply ratio by 5
Green marble : 15 = 10 : 15
By comparison, we have
Green marble = 10
Hence, there are 10 green marbles in the bag
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How long is the hypotenuse?
Answers
Answer:70 cm
Step-by-step explanation:a^2+b^2=c^2
-6(6x - 1) +9=36x + 18
Answers
process:
distribute -6
-36x +6 + 9 = 36x + 18
add 36x to both sides canceling it out
find sun of like terms and you remain with 3!
Answer:
x = - 1 / 24
Step-by-step explanation:
-6 ( 6x - 1 ) + 9 = 36x + 18
First, solve the brackets.
-36x + 6 + 9 = 36x + 18
Then, subtract 36x by both sides.
-36x - 36x + 6 + 9 = 18
-72x + 15 = 18
Now, Subtract 15 by both sides.
-72x = 18 - 15
-72x = 3
Now divide both sides -72 by both sides.
x = - 3 / 72
x = - 1 / 24
Justin is playing tennis. When serving, he stands 12 feet away from the net, which is 3 feet tall. The ball is served from a height of 7.5 feet. Justin thinks the ball travels about 21.4 feet before it hits the ground 8 feet from the net on the opposite side.
a) How far does the ball travel?
b) What assumptions did you make to solve the distance the ball travels?
c) What mathematical practice did you use to solve this problem?
Answers
Considering Justin's serve, it is found that:
a) The ball traveled 21.4 feet, which means that Justin's estimate is correct.
b) An assumption regarding the angle of Justin's serve was made.
c) The Pythagorean Theorem was used to solve this mathematical problem.
Pythagorean TheoremThe Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle(triangle which has an angle of 90º between the two legs) with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following rule:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Assuming that the ball was served at an angle of 90º, the situation can be summarized as follows:
Distance of the serve: hypotenuse of the triangle.Bottom leg: horizontal change, of 20 feet, 12 feet on one side of the net and 8 feet on the other side of the net. Top leg: vertical change, of 7.5 feet, as the serve was made at a height of 7.5 feet, and hit the ground, where the height is of 0.Hence the Pythagorean Theorem is applied and the distance is calculated as follows:
d² = 7.5² + 20²
d = sqrt(7.5² + 20²)
d = 21.4 feet.
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PLS HELP I REALLLY NEED IT ITS BEEN UP FOR SO LONG ITS ALMOST DUE PLEASE HELP
Answers
Answer:
400
Step-by-step explanation:
yw
Answer:
1. 26 2/3
2. 13/5
3. 2000,3000,4000
Subject: Trigonometry, Evaluation of Functions
Hi, I only need help matching the graphs to the questions :) Brainly let's me attach a few graphs, this is 5/10, but i do have a similar question after this one with the rest of the graphs. Sorry!!
5. Given the following function, pick a graph with two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees. sin0 = 2/3
6. Given the following function, pick a graph with two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees. cos0 = -1/2
7. Given the following function, pick a graph with two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees. cot0 = 3/4
8. Given the following function, pick a graph with two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees. csc0 = 3/2
Answers
(i) When sinФ=2/3 → It lies in Ist and IInd quadrants and the suitable graph is not provided here.
(ii) when cosФ=-1/2 → It lies in IInd and IIIrd quadrants and the suitable graph is A and D.
(iii) when cotФ=3/4 → It lies in Ist and IIIrd quadrants and the suitable graph is E.
(iv) when cosecФ=3/2 → It lies in the Ist quadrant and the suitable graph is not provided here.
What is Quadrant?
A plane is split into four sections in the cartesian system by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.A quadrant is an area or section of a cartesian plane that results from the intersection of two axes. It is employed to establish a point's location in a plane.(i) When sinФ=2/3
Ф=sin^(-1)(2/3)
Ф=41.81°,138.18°
So it lies in Ist and IInd quadrant.
A suitable graph is not provided here.
(ii) when cosФ=-1/2
Ф=cos^(-1)(-1/2)
Ф=120°,240°
So it lies in IInd and IIIrd quadrant.
A suitable graph is A and D.
(iii) when cotФ=3/4
Ф=cot^(-1)(3/4)
Ф=53.13°,233,13°
So it lies in Ist and IIIrd quadrant.
A suitable graph is E.
(iv) when cosecФ=3/2 or sinФ=2/3
Ф=sin^(-1)(2/3)
Ф=0.729°
So it lies in Ist quadrant.
A suitable graph is not provided here.
(i) When sinФ=2/3 → It lies in Ist and IInd quadrants and the suitable graph is not provided here.
(ii) when cosФ=-1/2 → It lies in IInd and IIIrd quadrants and the suitable graph is A and D.
(iii) when cotФ=3/4 → It lies in Ist and IIIrd quadrants and the suitable graph is E.
(iv) when cosecФ=3/2 → It lies in the Ist quadrant and the suitable graph is not provided here.
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I need to graph the line with slope 4 and y-intercept -4
Answers
The equation of a line in the slope-intercept form is:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept. These values are given, then the equation of the line is:
[tex]y=4x-4[/tex]To graph it, we need to know the coordinates of at least two points on the line.
Whan x=0, then y is:
[tex]\begin{gathered} y=4\cdot0-4 \\ y=0-4 \\ y=-4 \end{gathered}[/tex]Thus, the first point is (0,-4).
When x=1, then y is:
[tex]\begin{gathered} y=4\cdot1-4 \\ y=4-4 \\ y=0 \end{gathered}[/tex]The second point on the line is (1,0).
If we draw these points in the coordinate plane, we can draw a line that passes through them, and this will be the graph of the line.
It looks like this:
Greg charges a flat fee of $140 to mow a lawn plus $45 and hour. Greg charges a flat fee of 100 to mow the lawn plus $25 an hour. After how many hours do they make the same amount
Answers
We need to know how to write linear equation to solve the problem. The number of hours when they make the same amount is 2 hours.
Linear equation is when a value of one variable is dependent on only one other variable. In the given question we know that Greg charges a flat fee of $140 and another $25 for every hour and Greg charges a flat fee of $100 and $45 for every hour. We need to find out the number of hours when both of them have the same amount, we can consider number of hours to be x and form equations accordingly.
140+25x=100+45x
20x=40
x=2
Therefore both of them will make the same payment when number of hours is 2.
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Melika Yasin's gross pay for this week is $355.00. She is married and claims no allowances. According to the table below, what amount will be withheld from Ms. Yasin's pay for FIT?
Answers
Based on the gross pay for Melika Yasin, and the fact she claims no allowances and is married, the amount withheld from her pay for Federal Income Tax is $43.
How to find the amount withheld for federal income tax?Melika Yasin had a gross pay of $355.00 for the week. This amount is more than $350 but less than $360.
Melika Yasin therefore falls into the bracket of "At least $350 but less than $360."
She also claims no allowances in this bracket. This means that the amount that would be withheld for Federal Income Tax according to the table would be $43.
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Sariah bought a magazine for $3.95 and 5 packs of gum. She spent $18.75. How much did it cost for 1 pack of gum?
Answers
Answer: $2.96
Step-by-step explanation:
$18.75 - $3.95 = $14.80
$14.80 / 5 = $2.96
(3+5),2y=(5x8)-(2x4)
Answers
Answer:
Answer down below!
Step-by-step explanation:
y = 2
find the upper and lower bounds of the total weight of 3 boxes each weighing 5.7 kg to the nearest 0.1kg
Answers
Answer:
while using a calculator we need it for solving problems and practice and analysis of reference to be able to answer
Step-by-step explanation:
according to which unit are we calculating
The Smith and Jones manufacturing company keeps a third of its cash in the bank, which pays 0.5% interest, and the other two-thirds in long-term investments that give 3.5% interest. If the company earned a total of $37,500 in interest last year, how much cash did they keep in the bank?
Answers
The amount of cash that as kept in the bank is $937500.
How to calculate the amount?Let's have x represent the amount of cash.
One portion of it pays 0.5%, so 0.005x; the other portion pays 3.5%, so 0.035x. This gives us:
0.005x + 0.035x = 37500
Combining like terms:
0.040x = 37500
Solve for x:
x = (37500)/(0.04)
x = 937500
Therefore, the company started with $937,500.
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