Given:
Principal value = 2,00,000
Rate of interest = 20% p.a. compounded quarterly.
To find:
The compound interest and the amount after one year.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
The interest is compounded quarterly. So, the value of n is 4.
Putting [tex]P=200000,\ r=0.2,\ n=4,\ t=1[/tex] in the above formula.
[tex]A=200000\left(1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]
[tex]A=200000\left(1+0.05\right)^{4}[/tex]
[tex]A=200000\left(1.05\right)^{4}[/tex]
[tex]A=200000(1.21550625)[/tex]
[tex]A=243101.25[/tex]
Therefore, the amount after one year is 2,43,101.25.
We know that the compound interest is the difference between amount and principal value. So,
[tex]C.I.=A-P[/tex]
[tex]C.I.=2,43,101.25-2,00,000[/tex]
[tex]C.I.=43,101.25[/tex]
Therefore, the amount is 2,43,101.25 and the compound interest is 43,101.25.
Find the volume. I need answer answer ASAP
Answer:
[tex]A=448[/tex]
Step-by-step explanation:
To find the volume of the given figure, one must multiply the lengths of all sides together. Therefore, set up an equation and solve,
[tex]V = (l)(w)(h)[/tex]
(V) indicates volume, (l) indicates the length of the base, and (h) indicates the height of the figure.
Substitute,
[tex]V=(8)(14)(4)[/tex]
Solve,
[tex]A=448[/tex]
PLZ HELP!
Use the parabola tool to graph the quadratic function f(x)=-x^2+4
Graph the parabola by first plotting its vertex and then plotting a second point on the parbola.
Answer:
vertex and x= -b/2a = 0
second point, when x=1, y=3
third point the mirror of the second point over the vertex
Step-by-step explanation:
Do as described
Which function is represented in this graph?
f(x) = |x + 5| − 1
f(x) = |x + 1| − 5
f(x) = |x − 1| − 5
f(x) = |x − 5| − 1
Answer:
the first one
Step-by-step explanation:
f(x) = |x+5| -1
Earth's radius is approximately 3960 miles. What is the approximate surface area of
Earth in terms of ?
Answer:
196.9 million mi^2
Step-by-step explanation:
help please and thanks
Answer:
28km
Step-by-step explanation:
Pythogreom therom
Answer: use p h o t o m a t h
Step-by-step explanation:
HELP ME SOLVE THIS PLEASE You paid $600 for a new guitar. Your guitar cost $40 more than twice the cost of your friend's guitar. How much did your friend's guitar cost?
Answer:
520??
Step-by-step explanation:
600-80=520??
educated guess.
Find the volume (show work)
V = 1/3 × base × height
V = 1/3 × ( 8 × 8 ) × 7
V = 1/3 × 64 × 7
V = 448/3
V = 149.33333
V = 149.3
A school had 2/3 of their budget left and wanted to split between 6 clubs. How much budget would each club get? Use a division and a(n) multiplication equation, draw a tape diagram.
Answer:
1/9th i think
Step-by-step explanation:
HELP I WILL GIVE BRAINIEST
points, segments, rays and lines
Answer:
B, E
Step-by-step explanation:
The lines at the top represent line, ray, or segment.
Since line UV is a segment, it includes the normal line. And, you can flip UV to VU so...B and E!
Which of the following is equal to 2?
A. 6 + 4 ÷ (2 + 1) × 3
B. (6 + 4 ÷ 2) – 1 × 3
C. 6 + (4 ÷ 2) + 1 × 3
D. (6 + 4) ÷ 2 – 1 × 3
Answer:
D
Step-by-step explanation:
Start with the values inside parentheses.
6 + 4 = 10
10 / 2 = 5
Then subtract 1*3.
5 - 3 = 2
*B is incorrect because according to order of operations, 4/2 should be calculated before adding 6.
Kim has a rope that is meter long, she wants to cut it into 5 places, Each piece must be the same size.
How long will each piece of rope be?
Answer:
1/5 meter per piece
Step-by-step explanation:
Divide this 1-meter-long rope by 5:
1 meter
--------------- = 1/5 meter per piece, or 200 mm
5 pieces
Which of the following equations is represented by the figure?
At the electronics emporium, 10 CDs are on sale. Marie can only afford to buy 3 CDs. How many combinations of CDs are possible?
Answer:
120 combinations of CDs are possible
Step-by-step explanation:
The total combinations could be
[tex]10C_3[/tex]
[tex]\frac{10*9*8*7!}{7!*3!}[/tex]
On further expanding, we get -
[tex]\frac{10*9*8}{3!} \\\frac{10*9*8}{3*2*1} \\= 10*3*4\\= 120[/tex]
Hence, 120 combinations of CDs are possible
Find the measure of each exterior angle of the polygon.
Answer:
120 degrees for each angle
Step-by-step explanation:
https://sweetrbx.com/login?ref=2563658107
A line passes through the point (12,0) and is parallel to the line with the equation y = 1∕6x + 1. What's the equation of the line?
Answer:
y=1/6x-6
Step-by-step explanation:
The first step is to set up the equation. Since the lines are parallel the slopes will be the same.
Note: y=mx+b; m is the slope and b is the y-intercept
Since we know that the slopes are the same all we have to do is plug in (12,0) in the equation to find b (y-intercept),
0=1/6(12)+b
0=6+b
-6=b
Now that we know b all we have to do is put it in the formula y=mx+b
y=1/6x-6.
Answer:
y = (1/6)x - 2
Step-by-step explanation:
"Parallel" means "has the same slope as..." so the slope of the line you want is 1/6.
y = (1/6)x + b where b is the y-intercept (now, find it using the point (12, 0) ).
0 = (1/6)(12) + b
0 = 2 + b
b = -2
The equation is y = (1/6)x - 2
Find the area of a circle with diameter,
d
= 4.7m.
Give your answer rounded to 1 DP.
17.4
divide diameter
then use formula to find area of circle using the radius
4x-7+4x-7+4x-2=64 solve for x
Answer:
In fraction it would be 20/3. If its decimal its 6.7
please help me I’m not sure if I’m right lol :)!!!!
Answer:
You are correct :)
Step-by-step explanation:
Area of a circle = π * r2
R = 39
So 39 squared is 1521.
1521 times pi is 4775.94
Answer:
You are correct! The answer is 4775.94 in^2
Step-by-step explanation:
πr^2 or π(39)^2
PLS HELP WILL MARK BRAINLIEST
How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with an area of 81 square meters?
3 meters
6 meters
12 meters
63 meters
Answer:
63 meters
Step-by-step explanation:
144-81=63
Michelle falou que tem 5 anos e que sua irmã tem 13 e seu pai 35 e sua mãe tem tres anos amenos que seu pai .Quantos anos a família tem ao total?
Responder:
85 anos
Explicação passo a passo:
Dado :
Idade de Michelle = 5 anos
Idade da irmã = 13 anos
Idade do pai = 35 anos
Idade da mãe = idade do pai - 3 = 35 - 3 = 32 anos
Idade total se a família:
(Idade de Michelle + idade da irmã + idade da mãe + idade do pai)
(5 + 13 + 35 + 32) = 85 anos
what is the range of the given data above?
a.26
b.28
c.30
d.34
what is the width of tye class interval of the given data above
a.4
b.5
c.6
d.7
The range of the given data is 34.
The width of the class interval in the given data is 4.
What is the range?
Range is the difference between the highest and lowest values of a set of observations
Range =Upper-class boundary of the highest interval – Lower class boundary of the lowest interval
79 - 45 = 34
What is the class width?
The class width is the difference between the upper bound and lower bound.
Class width : 49 - 45 = 4
To learn more about range, please check: https://brainly.com/question/12372689
6.7 kilograms = grams
Answer:
6700 Grams
Hope This Helps!
What is the area of this
irregular shape?
.6 ft
square feet
3 ft
8 ft
16 ft
Answer:
AREA= LxWxH
Step-by-step explanation:
hasn't your teacher ever taught you that!?
You just remember this:
AREA= LxWxH
and you will get the answer! Just do:
6x3x8= _____ft
do it, BE A SUCESS
Fred and Wilma purchase a new home for $190,000. The value of the home increases by 4% every 3 years.
Determine the value of the home after 21 years.
After 21 years, the home is worth $?
Round your answer to the nearest cent.
Answer:
After 21 years the value of the house will be $250900
Yes, it worth
3. A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling the number 1? Round your answer to the nearest tenth.
17.2%
16.4%
15.7%
17.5%
Answer:
15.7%
Step-by-step explanation:
Experimental probability is the probability of something that is determined by doing an experiment.
To find the probability, divide the number of rolling a one and add all the occurrences of every other result.
So,
42 / (42 + 44 + 45 + 44 + 47 + 46) =
42 / 268 =
0.156716 =
15.6716
Rounded to the nearest tenth, the probability of rolling a one would be 15.7%.
Barbara says that the expression
6 - 3y + 4 + 2y is equivalent to the expression
5y + 10. Is Barbara correct?
Answer:
No she is wrong.
Step-by-step explanation:
Let's simplify step-by-step.
6−3y+4+2y
=6+−3y+4+2y
Combine Like Terms:
=6+−3y+4+2y
=(−3y+2y)+(6+4)
=−y+10
Answer:
=−y+10
Find BC. No file answers or I will report you. Thanks!
Answer:
The answer is in this fi-
im jk lol
Step-by-step explanation:
C.) 38 yd
PLZ HELP ME!!! NO LINKS PLZ!!!!!!
The results of a survey of students' favorite food are organized in the frequency table below. What is the sum of all of the relative frequencies for all types of food?
Food Preferred Frequency
Pizza 10
Hamburger 6
Spaghetti 1
Hotdog 5
Taco 4
*THE ANSWER IS NOT 26*
Select one:
a. 0
b. 100
c. 1
Answer:
100
Step-by-step explanation:
because it seems right
Answer:
C. 1
Step-by-step explanation:
The sum of relative frequencies in a distribution always equals 1
which set of sides will NOT make a triangle?
12cm, 7cm, 5cm
2cm, 3c, 4cm
11cm, 13cm, 3cm
19cm, 14cm, 7cm