in how many years does Rs 2000 amount to Rs 2420 at 10% p.a compound interest?
2 years
Step-by-step explanation:
GivenPrinciple = Rs. 2000
Rate of Interest = 10%
Amount = Rs. 2420
Formula used = P(1+R/100)^T
=> 2420 = 2000 ( 1+10/100)^T
by taking LCM of underlined equation.=> 2420 = 2000 (10+1/10)^T
=> 2420 = 2000 (11/10)^T
=> 2420/2000 = (11/10)^T
=> 121/100 = (11/10)^T
121 = 11²100 = 10²=> 11/10 = (11/10)^T
=> 2 years.
please help me..asap
Answer: the fourth one
Step-by-step explanation:
your welcome :)
What is an equation of the line that passes through the point (-5,-2) and is parallel to the line x-y=5
Answer:
y = x + 3
Step-by-step explanation:
Parallel: x - y = 5 -> y = x - 5
Take the slope from Parallel. m = 1
Point (-5,-2) = (x_0, y_0) , m = 1
Point-Slope Form: [tex](y - y_0) = m * (x - x_0)[/tex]
(y - (-2)) = 1 * (x - (-5))
y + 2 = 1x + 5
y = x + 3
PLEASE HELP !! Find the volume of the sphere.
Step-by-step explanation:
(4/3)•πr³
= 4/3 • π • (1/4)³
= π/48 cubic units or 150.86 cubic units
Volume of sphere is [tex]\frac{11}{14}[/tex] cubic unit.
What is Volume of sphere?The volume of sphere is the measure of space that can be occupied by a sphere. A sphere is a three-dimensional shape that has no edges or vertices.
Volume of sphere = [tex]4\pi r^{2}[/tex]
Given
Radius of sphere = [tex]\frac{1}{4}[/tex] unit
Volume of sphere = [tex]4\pi r^{2}[/tex]
= 4 × [tex]\pi[/tex] × [tex](\frac{1}{4} )^{2}[/tex]
= 4 × [tex]\frac{22}{7}[/tex] × [tex]\frac{1}{16}[/tex]
= [tex]\frac{11}{14}[/tex]
Hence, Volume of sphere is [tex]\frac{11}{14}[/tex] cubic unit.
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The rug is 21 feet long and
20 feet wide. What is the
length of the diagonal?
Answer:
using hyp²=opp²+adj²
x²=21²+20²
x²=441+400
x²=841
x =/841
x=29
Answer:
It's 29 ft. Hope the picture will help you understand better.
PLEASE HELP!!!! Click on the picture
Answer:
14
Step-by-step explanation:
the perimeter equation is 2(h+w)=p
substitute h with 14, and p with 56
2(14+w)=56
14*2=28
56-28=28
28/2=14
width is 14
(this is a square)
8.602 rounded to the nearest hundrest
Answer:
8.60
Step-by-step explanation:
8.602
since 2 is below 5 it cant change the 0
so
0 will stay 0
PLEASE HELP ASAP !!! DUE BY THE END OF THE NIGHT (LOOK AT PICTURE)
Answer:
B. 1/8
Step-by-step explanation:
Chance of each number = 1
Total number of chances = 8 (including 0)
Therefore,
Chance that each number will occur = 1/8
Hope it helps:)
Have a good day!
Find each probability for 1 roll of a regular number cube. Write as a fraction in simplest form. P(3,4 or 5)
Probability helps us to know the chances of an event occurring. The probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of 3, 4 or 5 can be written as,
P(3, 4 or 5) = 3/6 = 1/2
Hence, the probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.
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please help me with the question below
Answer:
31.41
Step-by-step explanation:
Substitute
Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. Which two locations does she travel between?
A Town Hall and Ice Rink
B Park and Town Hall
C Ice Cream Parlor and Town Hall
D Soccer Field and Park
Answer:
D) Soccer Field and Park
Step-by-step explanation:
Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. Which two locations does she travel between?
Rule: (x + 4, y + 4)
Locations:
Town Hall: (4, 9)Ice Rink: (9, 10)Park: (6, 6)Ice Cream Parlor: (1, 6)Soccer Field: (2, 2)A. Town Hall to Ice Rink
(x + 4, y + 4) → (4 + 4, 9 + 4) → (8, 13)
Town Hall (4, 9) to Ice Rink (8, 13)❌(Does not match the coordinates on the graph)
B. Park to Town Hall
(x + 4, y + 4) → (6 + 4, 6 + 4) → (10, 10)
Park (6, 6) to Town Hall (10, 10) ❌(Does not match the coordinates on the graph)
C. Ice Cream Parlor to Town Hall
(x + 4, y + 4) → (1 + 4, 6 + 4) → (5, 10)
Ice Cream Parlor (1, 6) to Town Hall (5, 10)❌(Does not match the coordinates on the graph)
D. Soccer Field to Park
(x + 4, y + 4) → (2 + 4, 2 + 4) → (6, 6)
Soccer Field (2, 2) to Park (6, 6) ✅(Matches the coordinates on the graph)
Therefore, the correct answer is D.
Hope this helps!
grade 6 students sold 318 tickets for a school play. the number of adult tickets was six more than three times the number of student tickets. how many adult tickets were sold?
Answer:
Adult tickets sold = 240
Step-by-step explanation:
If student tickets = x,
Adult tickets = 3x + 6
Since the total amount of tickets sold was 318, the equation would be:
x + 3x + 6 = 318
Simplify this:
4x + 6 = 318
4x = 312
x = 78
Student tickets = 78
and so:
Adult tickets = (3 x 78) + 6 = 240
write in its simplest form
4/7 / 1 3/4
Answer:
16/49
Step-by-step explanation:
DIVIDE 4/7 BY 1 3/4
Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch.
Answer:
aaaaaa
Step-by-step explanation:
did it on edge
surely help I’ll brainlist.
construct a histogram to represent these results.
Answer:
Step-by-step explanation:
You need to first put the numbers in suitable catagories
0-120
120-130
130-140
140-150
then figure out the frequency of them
0-120=4
121-130=20
131-140=2
141-150=2
then put in a graph(sry its not very good i was in a rush)
can someone help please
Answer:
198.78m
Step-by-step explanation:
1. Find the area of the circles:
[tex]a = r^{2}\pi[/tex]
[tex]a = \frac{3}{4} * 4^{2} *\pi[/tex]
[tex]a = 37.7[/tex]
Since there are 2 circles we need to times this value by 2:
[tex]37.7 *2 = 75.4[/tex]
2. Now let's find the area of the regtangular figures
[tex]4 * 6 * 2 = 48[/tex]
3. Now the circular part of the outside of the cylinder
[tex]4 * 2 * \pi = 25.13[/tex]
[tex]25.13 * 6[/tex] = 150.78
Since this is not the actual value we need to find 25% of this value and subtract it.
[tex]150.78 - 150.78*0.25 = 150.78 - 37.7 = 113.08[/tex]
4. Let's add these values together
[tex]113.08 + 48 + 37.7[/tex] = 198.78m
Using lowercase letters only, type always, sometimes or never as your answer to the following prompt.
The mode of a data set is____equal to the mean.
Always
Sometimes
Never
Answer:
The mode of a data set is ALWAYS equal to the mean.
Step-by-step explanation:
30 POINTS!! Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.
Enter the answer as an equation.
Sabrina wants to learn a new language. She downloads an app and sees that it comes with an immediate discount of 55% off a yearly membership. If the yearly membership costs $139.99, how much money will Sabrina save? How much money will the yearly membership with the discount cost?
Answer:
$56.
$83.99.
Step-by-step explanation:
She will save 40% of $139.99
= 0.40 * 139.99
= $56.
With the discount membership costs:
139.99 - 56
= $83.99.
Lisa is on a run of 12 miles. She has 4 hours to complete her run. How many miles does she need to run each hour to complete the run?
Answer:
3 miles/h
Step-by-step explanation:
You can set up a division problem to represent the equation.
12 miles÷4 hours=3 miles/hr
Write an equation for the nth term of the geometric sequence. Then find a7.
1,-2,4,-8...
Answer:
1,2,4,6,-8....
Step-by-step explanation:
1. Jacob buys a laptop for $356 plus tax of 6.25%. If he gives the
Cashier $400, how much change does he receive back?
Answer: $21.75
Step-by-step explanation:
356*.0625 = 22.25
so 6.25% of 356 = $22.25
356+22.25 = $378.25 (this is how much he owes)
400-378.25 = $21.75
So he recieves $21.75 back
Write the standard form equation of the line parallel to y = 2x – 1 that contains the point (2,-7)
Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
The slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
[tex]y=mx+b[/tex]
Using the slope-intercept form, the slope is 2.
[tex]m=2[/tex]
So in order for us to find an equation that is parallel, the slopes must be equal. We need to find the parallel line using the point-slope formula.
We use the slope 2 and a given point [tex](2,7)[/tex] to substitute for x1 and y1 in the point-slope form [tex]y-y^1 = m (x-x^1)[/tex], which is derived from the slope equation: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Now we simplify the equation and keep it in point-slope form.
[tex]y-7=2[/tex] × [tex](x-2)[/tex]
Simplify [tex]2[/tex] × [tex](x-2)[/tex]
[tex]y-7=2x-4[/tex]
[tex]Rewrite.~y-7=0+0+2~x~(x-2)[/tex]
[tex]Simplify~ by~adding~zeros.~y-7=2 ~x~(x-2)[/tex]
[tex]Apply~the~distributive~property.~y-7=2x+2~X~-2[/tex]
[tex]Multiply~2~by~-2.~y-7=2x-4[/tex]
Last, We move all terms not containing y to the right side of the equation.
Add 7 to both sides of the equation.
[tex]y=2x-4+7[/tex]
Add −4 and 7 and your answer will be: [tex]y=2x+3[/tex]
7.) The online book is $29.00 but the tax and shipping is another 25%. What will it cost me with the tax and shipping?
Answer:
$36.25
Step-by-step explanation:
Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25
Thus, total will be 29 + 7.25 = $36.25
Sara's cat eats three meals a day in total her cat eats 450 calories for the day how many. calories does the cat get in each meal?
According to the information given, what can you determine about the triangles formed by Tyler, the mirror, and the peak? How do you know the relationship between the two triangles? (4 points: 2 points for correctly describing the triangles, 2 points for the explanation)
Answer:
height of the peak AB is 40 feet.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step-by-step explanation:In the figure attached, A is the peak of mountain AB, ED is Tyler who is 6 feet high. Mirror placed at C, is 20 feet from the base of peak. Tyler is 3 feet away from the mirror.1). When Tyler sees the peak in the mirror, angle of incidence " i " and angle of reflection " r " made by incident ray AC and reflected ray EC will be equal.Now we can easily say ∠ r = ∠ E ( Alternate angles )∠ i = ∠ A ( alternate angles)Since ∠ i = ∠ r Therefore, ∠ A = ∠ E∠B = ∠D = 90°and ∠ACB = ∠ECDHence ΔABC is similar to ΔCDE.2). Corresponding sides of these similar triangles are AB and ED, BC and CD, AC and CE.3). tanE = tanE = 0.5 ∠ E = degreesNow ∠E = ∠A = 26.57°Therefore, tan(26.57) = 0.5 = AB = Therefore, height of the peak AB is 40 feet.
Select all the true statements. a. 11 meters = 1,100 centimeters b. 7 centimeters = 700 millimeters c. 5 meters = 500 centimeters d. 12 centimeters = 120 millimeters e. 9 kilometers = 900 meters
The following are true; 11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters
Conversion of measurementsQuantities are units of measurement. The following conversion factors are true
100cm = 1m1000m = 1km10mm = 1cmUsing this conversion factors to determine the true statements, the following are true;
11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters
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what is the difference between 497.063 and 52.12
Answer:
444.943
Step-by-step explanation:
Subtract 52.12 from 497.063, and you get 444.943.
Use the distributive property to remove the parentheses. (-2+2w+4w)(-7)
The parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.
What is distributive property?The distributive property says that the product of a number and sum of two numbers is equal to the addition of the product of that number with the individual number of the sum.
c×(a+b)=ac+ab
The given expression in the problem is,
(-2+2w+4w)(-7)
Now, use the distributive property to remove the parentheses as,
(-2+2w+4w)(-7)
-2×-7+2w×-7+4w×-7
-14-14w-28w
-14-42w
Hence, the parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.
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please help me..........asap
Answer:
I think the answer is "No, he chose only members of specific part of the population"
Step-by-step explanation:
I think it's this one because he only did names he recognizes he didn't do the entire town