After two years, Swathu will pay back the debt in full, which comes to Rs. 105287.27.
To find the total amount Swathu will pay back after 2 years on a loan of Rs. 90,000 with an interest rate of 8% per annum compounded half-yearly, we can use the formula for compound interest:
\(A = P(1 + r/n)^{nt\)
where:
A = the total amount Swathu will pay back
P = the principal amount borrowed (Rs. 90,000)
r = the annual interest rate (8%)
n = the number of times the interest is compounded per year (2 times, since it is compounded half-yearly)
t = the time period (2 years)
Substituting these values into the formula, we get:
\(A = 90,000(1 + 0.08/2)^{2*2}\\\\A = 90,000(1 + 0.04)^4\\\\A = 90,000(1.04)^4\\\\A = 90,000(1.16985856)\\\)
A = 105287.27 (rounded to the nearest tenth)
Therefore, Swathu will pay back a total of Rs. 105287.27 after 2 years on the loan.
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What's the volume of 2 inches 1 inch and 4 inches
Answer:
1=1
2=8
4=64
Step-by-step explanation:
If it's cubic inches then
ax a x a
So if it's 1 then it's 1
If it's 2 it's 8
If it's 4 it's 64
A radius is a segment that connects any pount on the circle to the center of that circle
Answer:
This is true.
Step-by-step explanation:
No matter where you put the dot on the circumference, the radius will connect to the center, and be the same distance.
what is the scale factor of the small triangle to the large triangle?
Answer:
I'm pretty sure it's 4.3?
Step-by-step explanation:
Because you divide the larger triangles side first because you are figuring out the scale factor of the small triangle to the larger triangle, not the other way around.
Sorry if i'm wrong
Answer:
first, find the area of the small triangle: 3 times 3 equals 9 divided by 2 equals 4.5.
second, find the area of the big triangle: 13 times 13 equals 169 divided by 2 equals 84.5.
Find difference: 84.5 minus 4.5 equals 80
An object is moving at a speed of 5 feet every 6 weeks. Express this speed in
centimeters per day. Round your answer to the nearest hundredth.
Answer:
21.77cm/dayStep-by-step explanation:
If an object is moving at a speed of 5feet every week, we are to convert 5ft/wk to cm/day.
1 feet = 30.48cm
5feet = (5*30.48)cm
5fet = 152.4 cm
Also;
1week = 7days
x = 1 day
7x = 1
x = 1/7 day
5ft/week = 152.4cm/7days
Hence 5ft/week = 21.77cm/day to the nearest hundredth
Answer:
3.63 centimeters per day
Step-by-step explanation:
6week
5ft
⋅
1ft
0.305m
⋅
1m
100cm
⋅
7days
1week
( 42
152.5 )
day
cm
i need to show work pls
Please answer ASAP I will brainlist
Answer:
There is one solution. The solution is 2, 18, 19.
Step-by-step explanation:
If you want me to show working tell me in the comments and I'll edit the answer
Answer:
A. (2, 18, -19)
Step-by-step explanation:
To solve:
Z is the most suitable variable to remove first
Add the first equation to the second equation: (this conveniently removes both y and z)
(x+y-z) + (4x-y+z) = 1+9
Simplify
5x = 10
Solve
x = 2
Multiply the second equation by 2 and minus it to the third equation: (Solve for y)
2(4x-y+z) - (x-3y+2z) = 2(9) - (-14)
Simplify
8x-2y+2z-x+3y-2z=18+14
7x+y=32
Substitute using x=2
7(2) + y = 32
y = 32 - 14
y = 18
Now substitute x and y for their respective values into Equation 1
2 + (-18) - z = 1
Simplify
-z = 19
z = -19
So :
x = 2, y = 18 , z = -19
What is the 70th term in the sequence? 4, 8, 12, 16...
Answer:
276
Step-by-step explanation:
that's the correct answer
Answer:<3
Step-by-step explanation: 280 is right on acellus
a right triangle had side lengths d,e,and f as shown below. use these lengths to find sin x cos x and tan x
1. How much farther is the Earth from
Saturn than it is from Jupiter?
2. Suppose you traveled from Saturn to
Jupiter, and then from Jupiter to Mars.
What would be the total distance?
3. How much closer is Saturn to Jupiter
than it is to Earth?
4. Find the total distance from Mercury to
Earth,
5. Which is closer to Earth, Venus or
Mars? How much closer is it?
6. How much farther is the Earth from
Saturn than it is from Mars?
1) Earth is 403,400,000 miles farther from Saturn than it is from Jupiter.
2) The total distance from Saturn to Jupiter and from Jupiter to Mars is 745,400,000 miles.
3) Saturn is 390,000,000 miles closer to Jupiter than is is to Earth.
4) Total distance from Mercury to Earth is 56,700,000 miles.
5) Venus is 22,300,000 miles closer to Earth than Mars.
6) Earth is 745,000,000 miles farther from Mars than Saturn.
Given,
1) Distance from Earth to Saturn = 793,000,000 miles
Distance from Earth to Jupiter = 390,400,000 miles
793,000,000 - 390,400,000 = 403,400,000
That is, Earth is 403,400,000 miles farther from Saturn than it is from Jupiter.
2) Distance from Saturn to Jupiter = 403,400,000 miles
Distance from Jupiter to Mars = 342,000,000 miles
403,400,000 + 342,000,000 = 745,400,000
Therefore, the total distance from Saturn to Jupiter and from Jupiter to Mars is 745,400,000 miles.
3) Distance from Saturn to Jupiter = 403,400,000 miles
Distance from Saturn to Earth = 793,800,000 miles
793,800,000 - 403,400,000 = 390,400,000
So, Saturn is 390,000,000 miles closer to Jupiter than is is to Earth.
4) Distance from Mercury to Venus = 30,700,000 miles
Distance from Venus to Earth = 26,000,000 miles
30,700,000 + 26,000,000 = 56,700,000
That is, the total distance from Mercury to Earth is 56,700,000 miles.
5) Distance from Earth to Venus = 26,000,000 miles
Distance from Earth to Mars = 48,300,000 miles
48,300,000 - 26,000,000 = 22,300,000
That is, Venus is 22,300,000 miles closer to Earth than Mars.
6) Distance from Earth to Saturn = 793,800,000 miles
Distance from Earth to Mars = 48,300,000 miles
793,800,000 - 48,300,000 = 745,500,000
That is, Earth is 745,000,000 miles farther from Mars than Saturn.
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if angle two equals 130 find the measure of angle 6 in the answer is not 130 or 50 wilmart brainiest
Answer:
∠6 = 130°Step-by-step explanation:
the answer is 130.. because its a corresponding angles
that means corresponding angles are equal
∠2 = ∠6 = 130°The angle or degree it’s in
It’s takes an aero plane 3.2 hours to fly from Mumbai to Seoul. It takes the same aero plane 1 1/3 hours to fly from Seoul to Tokyo. How many hours does it take the aero plane to travel from Mumbai to Tokyo if it flies through Seoul?
To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.
The airplane takes 3.2 hours to fly from Mumbai to Seoul.
The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.
To find the total time, we add the two durations:
3.2 hours + 1.33 hours = 4.53 hours
Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.
Eliza took a friend for a birthday dinner. The total bill for dinner was $32.22 (including tax and a tip). If Eliza paid a 19.3% tip, what was her bill before adding the tip? (Round your answer to the nearest cent.)
Answer:
$27.01
Step-by-step explanation:
100% + 19.3% = 119.3%.
$32.22 = 119.3%
divide both sides by 119.3:
(32220/1193) = 1
multiply by 100 to get 100% ie the bill before the tip:
$27.01 = 100%
$27.01 is bill to nearest cent
4. What is the range for the function f(x) = 7?
Answer:
7
Step-by-step explanation:
domain-only real numbers
range-only one number 7
Solve the equation for X. Also there is 100 points attached to this
Here is your answer
Hope this helps
Answer:
C
Step-by-step explanation:
To sum matrices they have to be of the same proportions
and we sum the corresponding
so we have
\(1)-3x_1+7=10\\\\-3x_1=3\\\\x_1=-1\\\\\\2)-3x_2+0=0\\\\-3x_2=0\\\\x_2=0\\\\\\3)-3x_3-1=8\\\\-3x_3=9\\\\x_3=-3\\\\\\4)-3x_4+2=-19\\\\-3x_4=-21\\\\x_4=7\\\\\\5)-3x_5-3=-18\\\\-3x_5=-15\\\\x_5=5\\\\\\6)-3x_6+4=10\\\\-3x_6=6\\\\x_6=-2\)
so the answer is C
I cannot write a matrix but there you have the values
x_1 x_2 x_3
x_4 x_5 x_6
1/8y-2/3=5 1/2 solve
Answer:
49\(\frac{1}{3}\)
Step-by-step explanation:
I'm going to assume the number on the right side of the equation is 5.5, just to make things easier.
Now, to begin to solve this, first isolate the variable.
1/8y - 2/3 = 5 1/2
We do this by adding 2/3 to both sides.
1/8y = 5 1/2 + 2/3
Now, we just wipe off the coefficient that is stuck to the variable by dividing both sides by 1/8, which can be easier done by multiplying by the reciprocal (I converted the mixed number into an improper fraction before solving to facilitate the process).
y = (37/6) · 8
y = 296/6
y = 49 2/6 = 49 1/3
Solve the inequality 5x + 2<27 x
Answer:
5
The answer is 5
The answer is 5
(1.) A random number generator was used to resample the group. Use the new table below to answer the questions. Cholesterol in mg/dL New Control 220 245 247 230 243 218 245 240 224 232 New Treatment 225 248 221 242 235 246 250 224 241 242 What is the mean of the new control group? Round to the nearest tenth. 234.4 237.4 242.5 235.9
(2). A randomized comparative experiment tests whether a cholesterol medication lowers the overall blood pressure for male patients. The control group has ten male patients and the treatment group, which receives the medication, has 10 male patients. All patients started with a cholesterol level of 245 mg/dL. Cholesterol in mg/dL Control 241 243 242 245 250 248 246 245 242 247 Treatment 230 225 220 218 224 240 232 221 235 224 What is the mean of the control group? Round to the nearest tenth. 235.7 226.9 244.9 228.3
(3.) A random number generator was used to resample the group. Use the new table below to answer the questions. Cholesterol in mg/dL New Control 220 245 247 230 243 218 245 240 224 232 New Treatment 225 248 221 242 235 246 250 224 241 242 What is the difference in the new treatment mean and new control mean? Round to the nearest tenth. 5.8 -2 -1.4 3
(4.) A randomized comparative experiment tests whether a cholesterol medication lowers the overall blood pressure for male patients. The control group has ten male patients and the treatment group, which receives the medication, has 10 male patients. All patients started with a cholesterol level of 245 mg/dL. Cholesterol in mg/dL Control 241 243 242 245 250 248 246 245 242 247 Treatment 230 225 220 218 224 240 232 221 235 224 Did the cholesterol medication lower the cholesterol levels? Yes. The treatment group had a lower level of cholesterol overall. No. The treatment group had the same level of cholesterol overall. Yes. The control group had a lower level of cholesterol overall. No. The treatment group had a higher level of cholesterol overall. ( Algebra 2 Making inferences from experiments )
The mean of the new control group is 237.4.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
The given data is 225 248 221 242 235 246 250 224 241 242.
Now, the mean is
(225+248+221+242+235+246+250+224+241+242)/10
= 2374/10
= 237.4
Therefore, the mean of the new control group is 237.4.
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If Sonya walks 3 miles in 67 minutes, then how far will Sonya walk in 96 minutes?
Answer:
20
Step-by-step explanation:
Answer:
67/3=22.3
so 96/22.3 = 0.232291 ¯ 6
round the answer to the nearest hundreth and the answer is 0.23
Step-by-step explanation:
Select the correct answer from each drop-down menu. Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. Average rate of change plotted on coordinate plane linear graph. A solid boundary line intersects X-axis at unit minus 2.5 and Y-axis at unit 5. The Y-value for x= minus 1 is 3 and for x= minus 4 is minus 3. Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . The value of f(-1) is . The value of f(-4) is . The average rate of change of f(x) over the interval [-4, -1] is . Reset Next
The average rate of change is 1.2
How to determine the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
A solid boundary line intersects x-axis at unit minus 2.5 and y-axis at unit 5. The y-value for x = -1 is 3For x = -4 is -3This means that
f(-1) = 3 and f(-4) = -3
The average rate of change is then calculated as
Average rate of change = [f(-4) - f(-1)]/[-4 - 1]
Substitute the known values in the above equation, so, we have the following representation
Average rate of change = [-3 - 3]/[-4 - 1]
Evaluate
Average rate of change = 6/5
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multiplacation of fractions
c solve (3/9) (-2/3) =
explain
Step-by-step explanation:
(3/9) × (-2/3
=> {3×(-2)}/(9×3)
=> (-6/27). Ans.
Or
(3/9) × (-2/3)
=> -2/9 Ans.
What is the equation of the line shown in this graph?
Answer:
y = 1
Step-by-step explanation:
Lines AB and CD are parallel. If m∠W is 124°, then what is m∠P?
The angle between m and P (m∠P) is 124°.
In the given picture, W and P are alternate interior angles.
If two parallel lines are cut by a transversal, alternate interior angles are congruent. So, m∠P is equal to m∠W.
Therefore, m∠P is 124°.
In plane geometry, the figure formed by two rays or lines that share a common endpoint is called an angle. The word "angle" comes from the Latin word "angulus" which means "horn". The two rays are called the sides of the angle, and the common endpoint is called the vertex.
Common contact points are called corner vertices. The word angle comes from the Latin word 'angulus', which means 'horn'. Angles around us: There are many everyday examples of angles: hangers, arrowheads, scissors, partially open doors, pyramids, table edges, and ruler edges.
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sarah ran 20 miles over 5 days how many miles did she run every day
Answer:
that's easy she ran 4 every day
Step-by-step explanation:
4x5 equals 20 for the first day she ran 4 second day 8 third 12 fourth 16 fifth 20
2-4 AdditionalMultimediaIn 1-10, write the ordered pair for each point.1. A (-8,6)2. B(2,2)1084. D3.C (-3,-6)00(8,-8)AF65. € (-7,-9)6.F (6,6)G7.6 (-6,3)8. HB(4,-4)29.1(9,0)10.)(0,4)F10 -8 -6 -4 -2 O22.4668102HIn 11-16, graph and label each point.11. U(-5, -3)12. V-9,3)-44c-613. W(38)14. X(8,3)DCOE1015. Y(6, -6)16. Z(-5,0)In 17-25 write the ordered pair for each point
#12.
The point to be plotted is: V(- 9, 3)
This means that x = - 9 and y = 3 at point V.
This implies that we must count 9 units on the x-axis. We count in the negative direction of the x-axis because -9 is a negative number.
Also, we must count 3 units on the y-axis in the positive direction.
Now, we can plot this on a graph like this:
What is the value of y?
please hellpp!!!
Answer:
C=54°
Step-by-step explanation:
If u add each angle of a triangle should ways add up to 180°
answer this guys i will give brainliest! have a good day !!!
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
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3(n – 1) = 6
How do I solve this equation?
Answer:
n=3
Step-by-step explanation:
distribute, then add 3 to both sides, then divide both sides by 3
Answer:
n = 3
Step-by-step explanation:
3(n−1)=6
Step 1: Simplify both sides of the equation.
3(n−1)=6
(3)(n)+(3)(−1)=6(Distribute)
3n+−3=6
3n−3=6
Step 2: Add 3 to both sides.
3n−3+3=6+3
3n=9
Step 3: Divide both sides by 3.
3n/3 = 9/3\
n= 3
Which expression is equivalent to -8.2 - 5−8.2−5minus, 8, point, 2, minus, 5
Answer:
ffsssbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
prove that 1/log (xy)² +1/log(xy²) + log(xy³) =1 there base are x,y and z respectively.
Answer:
\(1/log (xy)² +1/log(xy²) + log(xy³) =1\)
Step-by-step explanation:
This is your equation, right? Just checking