Britt will earn more interest after three years due to the compound interest on her account, totaling $788.13 compared to Adam's $750 from simple interest, resulting in a difference of $38.13. The key distinction lies in the interest calculation: Adam's remains constant, while Britt's increases each year due to the compounding effect.
The question involves calculating and comparing simple and compound interest earned on two separate $5,000 deposits over a period of three years at an annual interest rate of 5%.
Adam's account earns simple interest, meaning the interest each year is calculated using the original principal of $5,000, resulting in $250 of interest per year, totaling $750 after three years.
Britt's account, however, earns compound interest, with each year's interest calculated on the growing balance from the previous year.
As we can see from the tables, Britt's first year interest is the same as Adam's ($250), but it increases each subsequent year because it's calculated on the new principal (original plus accumulated interest).
After three years, Britt's total interest is $788.13, earning more interest than Adam's $750. The difference in the total interest earned after three years between Britt (compound interest) and Adam (simple interest) is $38.13.
The main difference in how interest is calculated between Britt and Adam's accounts is that Adam's interest is consistently $250 each year (calculated as $5,000 x 0.05),
while Britt's interest increases each year, demonstrating the effect of compound interest.
By Year 3, Britt earns $275.63 in interest compared to Adam's unchanged $250.
the temperature is -2 if the temperature rises by 15 what is the new temperature
Which medicinal product is made using animal products?
A. Flu vaccine
O
B. Aspirin
C. Rose oil
O
D. Morphine
SUBM
Answer:
C. Rose oil
Step-by-step explanation:
Which medicinal product is made using animal products?
A. Flu vaccine
O
B. Aspirin
C. Rose oil
O
D. Morphine
SUBM
Answer:A. Flu vaccine
Step-by-step explanation:
The volume of a cylinder, V(h), is given by the area of the base times the height, h. The base of the cylinder shown below has a diameter of 5 inches.
Part A: Write the function, V(h), that represents the volume of the cylinder
Part B: find V(3) and tell what it represents
Answer:
Part a) [tex]V(h)=6.25\pi h\ in^3[/tex]
Part b) [tex]V(3)=18.75\pi\ in^3[/tex] (see the explanation)
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of cylinder
h is the height of the cylinder
we have that
[tex]B=\pi r^{2}[/tex]
Part a) Write the function, V(h), that represents the volume of the cylinder
we have
[tex]r=5/2=2.5\ in[/tex] ----> the radius is half the diameter
substitute
[tex]B=\pi (2.5)^{2}[/tex]
[tex]B=6.25\pi\ in^2[/tex]
The volume is
[tex]V(h)=6.25\pi h\ in^3[/tex]
Part b) Find V(3) and tell what it represents
V(3) represent the volume of the cylinder with a height of 3 inches
so
For h=3 in
substitute
[tex]V(3)=6.25\pi(3)\ in^3[/tex]
[tex]V(3)=18.75\pi\ in^3[/tex]
Final answer:
The function for the volume of the cylinder with diameter 5 inches is V(h) = π * (2.5 inches)² * h. To find V(3), we calculate the volume with height 3 inches, which represents the physical volume of the cylinder at that height.
Explanation:
To find the volume of the cylinder, V(h), we must use the formula V = πr²h, where r is the radius of the base, and h is the height of the cylinder.
Part A: Given that the diameter is 5 inches, the radius is half of the diameter, so r = 5 / 2 = 2.5 inches. Thus, the function representing the volume is V(h) = π * (2.5 inches)² * h.
Part B: To find V(3), we substitute h with 3 inches into the function: V(3) = π * (2.5 inches)² * 3 inches. This gives us the volume of the cylinder when the height is 3 inches.
Given ^MNO = ^PQR,
MN = 6 +2y, MO = 2x + 1,
PO = 3y + 4, and PR = 10 - X.
Find the lengths of PQ and PR.
Answer:
Part 1) [tex]PQ=10\ units[/tex]
Part 2) [tex]PR=7\ units[/tex]
Step-by-step explanation:
The correct question is
The triangles MNO and PQR are congruent. (MNO≅PQR)
Find the lengths of PQ and PR.
we know that
If two figures are congruent, then its corresponding sides are congruent
In this problem
MN and PQ are corresponding sides
MO and PR are corresponding sides
NO and QR are corresponding sides
therefore
MN≅PQ
MO≅PR
NO≅QR
step 1
Find the value of y
we have
[tex]MN = 6 +2y\\ PQ = 3y + 4[/tex]
equate the equations
[tex]3y + 4=6 +2y[/tex]
solve for y
[tex]3y-2y=6-4[/tex]
[tex]y=2[/tex]
step 2
Find the length of PQ
[tex]PQ = 3y + 4[/tex]
substitute the value of y
[tex]PQ = 3(2) + 4=10\ units[/tex]
step 3
Find the value of x
we have
[tex]MO = 2x + 1\\PR = 10 - x[/tex]
equate the equations
[tex]2x+1=10-x[/tex]
solve for x
[tex]2x+x=10-1[/tex]
[tex]3x=9[/tex]
[tex]x=3[/tex]
step 4
Find the length of PR
[tex]PR = 10 - x[/tex]
substitute the value of x
[tex]PR = 10-3=7\ units[/tex]
Jina spent $27 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?
Answer:
45%
Step-by-step explanation:
27/60 = .45
First, divide.
27 / 60 = 0.45
Multiply by 100%.
0.45 * 100% = 45%
______
Jina spent 45% of her total on fruits.
______
Best Regards,
Wolfyy :)
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Answer:
The top cable is 115.52 feet long
The bottom cable is 110.86 feet long
Step-by-step explanation:
The ground anchor #2, the tower, ground level, and both cables form a figure made of two right triangles as shown in the figure below
We are required to compute L1 and L2 which are the hypotenuses of both triangles from which we have both legs
We'll apply the Pythagoras's theorem. If a and b are the legs of a right triangle and c its hypotenuse, then
[tex]c^2=a^2+b^2[/tex]
For the bottom ground support cable, a=41, b=103
[tex]L2^2=41^2+103^2[/tex]=110.86\ feet
For the top ground support cable, a=41, b=108
[tex]L1^2=41^2+108^2[/tex]=115.52\ feet
The top cable is 115.52 feet long
The bottom cable is 110.86 feet long
f is a quadratic function whose graph is a parabola opening upward and has a vertex on the x-axis. The graph of the new function g defined by g(x) = 2 - f(x - 5) has a range defined by the interval
A. [ -5 , + infinity)
B. [ 2 , + infinity)
C. ( - infinity , 2]
D. ( - infinity , 0]
PLEASE MARK BRAINLIEST!
Answer:
Your answer is C. ( - infinity , 2]
Step-by-step explanation:
Because it is, and I found the answer right next to an image I was searching up. Coincidences, am I right?
5. Suppose you buy a $1999 LCD TV on layaway. If you pay 5% down and make $50 payments
every week, how many weeks will it be before you pay off the TV?
Answer:
38 Weeks
Step-by-step explanation:
1999$ x .05% = 99.95 Down Payment
Remaining Balance = 1899.05
1899.05$ / 50$ = 37.98100
It would approximately take a total of 38 weeks to pay it off!
Answer: 38 weeks
Step-by-step explanation:
$1999 * 0.05 = $99.95
1999 - 99.95 = 1899.05
1899.05/50 = 37.981
38 weeks
20 POINTS AND WILL MARK BRAINLIEST PLZ HELP
Which is the equation of a line that has a slope of 1/2 and passes through point (2,–3)?
A. Y= 1/2x-4
B. Y= 1/2x-2
C. Y=1/2x +2
D. Y=1/2x +3
Answer:
The answer is A
Step-by-step explanation:
y = mx + c
m = 1/2
(2,-3)
y = (1/2)x + c
-3 = (1/2)(2) + c
c = -4
y = (1/2)x - 4
The length of the minute hand on a clock is 5 in....is it a dimeter, circumference, radius?
Answer: Radius
Step-by-step explanation: The radius of a circle is a segment that joins the center of the circle to a point on the circle.
The minute hand on a clock would start in the center and go outwards towards a certain number. However, the minute hand would not go the full length across the clock so it's not the diameter.
The circumference of a circle which is another way of saying the perimeter of the circle is the distance around the circle so it would not be the circumference.
This means that the minute hand would represent the radius of a clock.
The 5 inch length of the minute hand on the clock is actually a radius, not a diameter or circumference. This radius is the distance from the center of the clock face to the tip of the minute hand. The diameter, which would be twice the length of the radius, would be 10 inches, and the circumference of the circle formed by the minute hand's movement would be approximately 31.4 inches.
Explanation:In this case, the 5 inches refers to the radius of the circle that is created by the minute hand of the clock as it moves around the clock face. This radius is the distance from the center of the clock face to the tip of the minute hand. In general, in any circular motion, the length of the revolving component, like a clock hand, from the center to its tip is called the radius of the circle.
The diameter is simply twice the radius, and in this case if the radius is 5 inches, the diameter would be 10 inches. The circumference of a circle is calculated by the formula 2πr (2 times the value of pi times the radius), hence, in this instance, it would be 10π inches or approximately 31.4 inches.
Learn more about Circle Radius here:https://brainly.com/question/31831831
#SPJ11
8 km + 2300 m +12,000 cm = ?
Answer:
The result is 10.42 kilometers, or 10,420 meters or 1'042,000 centimeters.
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
8 kilometers plus 2,300 meters plus 12,000 centimeters
2. Let's do the conversions to find the result either in kilometers, meters or even centimeters.
A. In kilometers:
8 kilometers
2,300 meters = 2.3 kilometers
12,000 centimeters = 120 meters = 0.12 kilometers
10.42 kilometers
B. In meters
8 kilometers = 8,000 meters
2,300 meters
12,000 centimeters = 120 meters
10,420 meters
C. In centimeters
8 kilometers = 8,000 meters = 800,000 centimeters
2,300 meters = 230,000 centimeters
12,000 centimeters
1'042,000 centimeters
The final sum is 10,420 meters.
To solve the mathematical problem of adding different units of measurement, we first need to convert everything to the same unit. In this case, let's convert all measurements to meters (m).
Convert 8 kilometers (km) to meters. Since 1 km = 1000 m => 8 km = 8 x 1000 => 8000 m.Convert 2300 meters (m) to meters. This is already in meters, so no conversion is needed and it remains 2300 m.Convert 12,000 centimeters (cm) to meters. Since 1 m = 100 cm, 12,000 cm = 12,000 / 100 = 120 m.Now, add these values together:
8000 m + 2300 m + 120 m = 10,420 meters
a line with a slope of 5/3 passes through the point (10, -5). what is its equation in point slope
The equation of line in point-slope form with slope 5/3 passing through the point (10-5) is:
[tex]y+5 = \frac{5}{3}(x-10)[/tex]
Step-by-step explanation:
Given
Slope = m = 5/3
Point = (x1,y1) = (10, -5)
Point-slope form is:
[tex]y-y_1 = m(x-x_1)[/tex]
As the slope and point is already given, we only have to put the values in the equation to get the equation of required line:
[tex]y-(-5) = \frac{5}{3}(x-10)\\y+5 = \frac{5}{3}(x-10)[/tex]
Hence,
The equation of line in point-slope form with slope 5/3 passing through the point (10-5) is:
[tex]y+5 = \frac{5}{3}(x-10)[/tex]
Keywords: equation of line, point-slope form
Learn more about equation of line at:
brainly.com/question/4401748brainly.com/question/4459688#LearnwithBrainly
12ab = 4 solve for a
Two expressions connected with equal sign is called equation. a=1/3b is the value for equation 12ab=4.
What is an equation?Two expressions connected with equal sign is called equation.
Given 12ab=4
We need to solve for a
12ab=4
Divide both sides by 12b
a=4/12b
a=1/3b
So a=1/3b is the value of a for equation 12ab=4
To learn more on solving equation visit: https://brainly.com/question/8743486
#SPJ2
c)
100x5
Simplify radical
Answer:
500
Step-by-step explanation:
100 X 5 = 5 + 5 + 5 + 5...100 times = 100 + 100 + 100 + 100 + 100 = 500
Answer:
500
Step-by-step explanation:
yes
9. Wade has 126 inches of 1-inch wide bias tape for a border
on a rectangular banner. If the banner needs to be 48
inches long, what is the maximum width it could be?
Answer:
Let 'x' represent the width.
2*48 + 2x = 126
x = 15 in
The maximum width could be 15 inches.
Final answer:
To find the maximum width of the rectangular banner, calculate the total length of bias tape used, subtract it from the available bias tape, and divide the remaining inches by 2. The maximum width of the banner is 15 inches.
Explanation:
Maximum Width Calculation:
Calculate the total length of bias tape used: 48 inches x 2 sides = 96 inches.
Subtract the total length from the available bias tape: 126 - 96 = 30 inches.
Divide the remaining inches by 2 (since there are 2 widths): 30 / 2 = 15 inches.
what is the answer if 2.4 x 5.8
Answer: 13.92
Step-by-step explanation: 8x4 then 8x2
zero the hero
5x4 then 5x2
lastly add
Answer:
13.92
Step-by-step explanation:
So the explanation is on the picture lol
What prevent is modeled below
It shows 100 squares and 35 are shaded
A 25%
B 35%
C 45%
D 65%
I think the answer is 35%
Answer:
B 35%
Step-by-step explanation:
35/100 reduces to .35. To turn this into a percent, multiply it by 100 and add a percent sign. .35 * 100 = 35. 35%
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Total number of squares = 100
Number of shaded squares = 35
The percentage of shaded squares is 35%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total number of squares = 100
Number of shaded squares = 35
The percentage of shaded squares.
= 35/100 x 100
= 35%
Thus,
The percentage of shaded squares is 35%
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ3
PLZZZ HELP ASAP!!!
Two angles are a linear pair. One third of the measure of the first plus 12 is equal to the measure of the second. what are the measures of both angles?
Answer:
Step-by-step explanation:
Let's angle be x and y
Then......
⅓x+12=y......eqn(I)
Since are linear
x+y=180
y=180-x.....eqn(ii)
Substitute the eqns
You get x=126°
From eqn (iii)
You get y=54°
Those are angles
The measures of both angles are 126° and 54°.
What are Linear Pair of Angles?Linear pair of angles are the pair of angles formed when two lines are intersected at a point forming on a line.
Sum of the measures of angles of linear pair is supplementary.
Given that,
Two angles are a linear pair.
Let x and y be the measures of two angles.
We have,
y = 1/3 x + 12
Sum of the angles is supplementary.
x + y = 180
x + 1/3 x + 12 = 180
4/3 x = 168
x = 126°
y = 180 - 126 = 54°
Hence the angles are 126° and 54°.
Learn more about Linear Pair of Angles here :
https://brainly.com/question/1757859
#SPJ2
A fence around the school football field is
1,666 feet long. Seven teams of students
will paint the fence. Each team will paint
an equal length of the fence. What length
of the fence will each team paint?
Each team will paint 238 ft of the fence.
Step-by-step explanation:
Length of fence = 1666 ft
Number of students teams = 7
Let x be the length covered by each team, therefore,
7x=1666
Dividing both sides by 7;
[tex]\frac{7x}{7}=\frac{1666}{7}\\x=238\ ft[/tex]
Each team will paint 238 ft of the fence.
Keywords: length, division
Learn more about division at:
brainly.com/question/10941043brainly.com/question/10978510#LearnwithBrainly
The functions from part A are f(x) = 2.5e-0.04x and g(x) = 1.2 + 0.2x. Enter the expression that results from f(x) − g(x). Give your answer in simplest form.
Answer: edmentum 100%
f(x) − g(x) = 2.5e-0.04x − (1.2 + 0.2x)
= 2.5e-0.04x − 1.2 − 0.2x
Step-by-step explanation:
The algebraic expression resulting from subtracting g(x) from f(x), required to subtract g(x) from f(x) term by term is [tex]2.5e^{(-0.04x)} - 1.2 - 0.2x.[/tex]
Given that the functions from part A are :
[tex]f(x) = 2.5e^{(-0.04x)}\\g(x) = 1.2 + 0.2x[/tex]
To find the expression resulting from subtracting g(x) from f(x), required to subtract g(x) from f(x) term by term.
Step 1: Given two functions
[tex]f(x) = 2.5e^{(-0.04x)}\\g(x) = 1.2 + 0.2x[/tex]
Step 2: find f(x) - g(x), subtract each term:
[tex]f(x) - g(x) = (2.5e^{(-0.04x)}) - (1.2 + 0.2x)[/tex]
Simplifying further, combine like terms:
[tex]f(x) - g(x) = 2.5e^{(-0.04x) }- 1.2 - 0.2x[/tex]
Therefore, the algebraic expression resulting from f(x) - g(x) is [tex]2.5e^{(-0.04x)} - 1.2 - 0.2x.[/tex]
Learn more about algebraic expression here:
https://brainly.com/question/28884894
#SPJ6
fire work a travels at the speed 300 ft/s firework b travels 240 ft/s. firework b is launched 0.25s before firework a. how many seconds after firework b launches will both fireworks explode?
Answer:
Both fireworks will explode after 1 seconds after firework b launches.
Step-by-step explanation:
Given:
Speed of fire work A= 300 ft/s
Speed of Firework B=240 ft/s
Time before which fire work b is launched =0.25s
To Find:
How many seconds after firework b launches will both fireworks explode=?
Solution:
Let t be the time(seconds) after which both the fireworks explode.
By the time the firework a has been launched, Firework B has been launch 0.25 s, So we can treat them as two separate equation
Firework A= 330(t)
Firework B=240(t)+240(0.25)
Since we need to know the same time after which they explode, we can equate both the equations
330(t) = 240(t)+240(0.25)
300(t)= 240(t)+60
300(t)-240(t)= 60
60(t)=60
[tex]t=\frac{60}{60}[/tex]
t=1
Final answer:
By setting the distance traveled by both fireworks equal, we find that both Firework A and B will explode 1.25 seconds after Firework B is launched.
Explanation:
To solve the problem of when both fireworks will explode, we can use the constant speed equation distance = speed × time. Firework A travels at 300 ft/s, and Firework B travels at 240 ft/s. Firework B is given a 0.25s head start. We need to find the time when they have traveled the same distance.
Let's call the time after Firework B launches when both explode as t. Since Firework A launches 0.25s after B, it will have traveled for t - 0.25s when they explode together. The equations for the distances traveled by both fireworks until that point will be:
Distance Firework A: 300 (t - 0.25)Distance Firework B: 240 tSetting these distances equal to each other:
300 (t - 0.25) = 240 t
Solving for t:
300t - 75 = 240t
60t = 75
t = 1.25s
Therefore, both fireworks will explode 1.25 seconds after Firework B launches.
Consider the equations: y = 2x − 4 and y = x − 2. Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.
Answer:
The order pair is (2,0)
Step-by-step explanation:
On the picture
Answer:
(2,6)
Step-by-step explanation:
Stanley's mother owns a stationary shop. Stanley helped his mother pack 319 pencil cases into packets of 7. In the end, 25 packets of pencils cases were sold. How many pencils cases were not sold?
They sold 25 packets, containing 7 pencils each. So, they sold a total of
[tex]25\cdot 7=175[/tex]
pencils. This means that
[tex]319-175=144[/tex]
pencils were not sold.
what is 23,234+12,346?
For this case we must solve the following sum:
23,234
+ 12,346
---------------
35,580
We place the addends one below the other so that the units coincide in the same column. We add each digit, we get the expression:
[tex]35,580[/tex]
ANswer:
[tex]35,580[/tex]
Which graph represents the function f(x)=x4+8x3+6x2−40x+25?
Answer:
Graphic A. (Upper left graphic)
Step-by-step explanation:
The roots of the fourth-order polynomial are, that is the values of x which make polynomial equal to zero:
[tex]x = 1[/tex] and [tex]x = -5[/tex]
By comparing the results with each graphic, it is evident that option A corresponds with the function. (Upper left graphic)
To graph the function f(x)=x4+8x3+6x2−40x+25, choose values of x, find corresponding y-values, and plot the points to form a curve.
To graph the function f(x) = x4 + 8x3 + 6x2 - 40x + 25, we need to plot points on a coordinate plane and connect them to form a graph. Here are the steps:
Choose a few values of x, such as -2, -1, 0, 1, and 2.Plug each value of x into the equation to find the corresponding y-values. For example, when x=-2, y=(-2)4+8(-2)3+6(-2)2-40(-2)+25.Plot the points on the coordinate plane (x,y) and connect them to form a smooth curve.The resulting graph should be a curve that goes through the plotted points.
Learn more about Graphs here:https://brainly.com/question/31779454
#SPJ6
How do you divide 3 1/4 and 3?
First we're going to change the 3 1/4 into an improper fraction.
3 1/4 is the same as 13/4
When dividing fractions, it's the same thing as multiplying by the reciprocal.
What this means is we're going to flip the second fraction.
So the original problem is this:
13/4 divided by 3/1
It now looks like this:
13/4 multiplied by 1/3
Then, simply multiply the top numbers together and then multiply the bottom numbers together.
13*1=13
4*3=12
your answer is 13/12
Catskill is 15 miles from Saugerties. What would the
distance on the map be?
Answer:
6 inches
Step-by-step explanation:
the map is equal to
1/2.5 inch / miles
by proportion :
1/2.5 inch/miles = x inches / 15 miles
x = 15/2.5
x=6 inches!!
I hope this helped you!! :)
Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make bags that have all three cookie flavors and the same number of each flavor per bag.
How many bags can he make without having any cookies left over?
The number of bags he can make without having any cookies left over is 4 bags.
Number of chocolate chips = 48Number of vanilla cookies = 64Number of raisin cookies = 100How to find highest common factor48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
64 = 1, 2, 4, 8, 16, 32 and 64
100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.
The highest common factor of 48, 64 and 100 is 4
Therefore, the number of bags he can make without having any cookies left over is 4 bags
Each bag has:
chocolates cookies = 48/4
= 12 each
Vanilla cookies = 64/4
= 16 each
Raisin cookies = 100/4
= 25 each
Learn more about highest common factor:
https://brainly.com/question/219464
Diego can make 12 bags without having any cookies left over, ensuring each bag contains an equal number of each flavor.
To determine how many bags Diego can make without having any cookies left over, we need to find the greatest common divisor (GCD) of the quantities of each type of cookie.
Step 1:
Find the GCD of the quantities of each type of cookie:
GCD(48, 64, 100) = 4
Step 2:
Calculate the number of bags Diego can make:
Each bag will contain 4 cookies of each flavor, as determined by the GCD.
For chocolate chip cookies: 48 cookies ÷ 4 cookies/bag = 12 bags
For vanilla cookies: 64 cookies ÷ 4 cookies/bag = 16 bags
For raisin cookies: 100 cookies ÷ 4 cookies/bag = 25 bags
Step 3:
Determine the minimum number of bags Diego can make without any cookies left over:
The minimum number of bags is determined by the smallest number of bags he can make for any type of cookie, which is 12 bags for chocolate chip cookies.
Therefore, Diego can make 12 bags without having any cookies left over.
What is the solution to the equation below? square root of 4-3x divided by square root of 3x equals 2
Possible answers: x=4/9 x=4/15 x= 7/9 x=7/15
Answer:
B.[tex]x=\frac{4}{15}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{4-3x}}{\sqrt{3x} } =2[/tex]can be simplify by doing some algebra.Particulary, in this case, [tex]\frac{\sqrt{4-3x}}{\sqrt{3x} } =\sqrt{\frac{4-3x}{3x} }[/tex], because of the distributive property with respect to division and multiplication.Then, by dividing numerator and denominator by 3x inside the power we get [tex]\sqrt{\frac{\frac{4}{3x}-1}{1}}=\sqrt{\frac{4}{3x}-1} =2[/tex].To dispose of the squared root, we raise to power 2 both sides of the equation, to obtain the following expression: [tex]\frac{4}{3x}-1=4[/tex].Finally, we just have to clear out the value of x from this expression, by addding 1 both sides of the equation: [tex]\frac{4}{3x}=5[/tex], and then by multiplying both sides by 3x, and then dividing the result by 15. This yields [tex]x=\frac{4}{15}[/tex]Answer:4/15
Step-by-step explanation:
If y varies inversely as the square of x, and y=2 when x=4, find y when x=4
Answer:
y = 2
Step-by-step explanation:
Given that y varies inversely as the square of x then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
To find k use the condition y = 2 when x = 4
k = yx² = 2 × 4² = 2 × 16 = 32, thus
y = [tex]\frac{32}{x^2}[/tex] ← equation of variation
When x = 4, then
y = [tex]\frac{32}{4^2}[/tex] = [tex]\frac{32}{16}[/tex] = 2