Answer:
Given:
A sum of Rs 5000 was invested for 2 years at 10% p.a. compounded half - yearly.To Find:
The compound Interest.Solution:
★ Firstly, we have to find the amount:
According, to the question by using the formula, we get:
[tex] \longmapsto \: { \bold{ \boxed{\pink{ \rm{A \: = P \left( 1 + \frac{ \frac{r}{2} }{100} \right)^{2n} }}}}}[/tex]
Here,
Amount (A) = A Principal (P) = Rs 5000 Rate of Interest (r) = 10% p.a Time Period (n) = 2 yearsSo by putting their values, we get:
[tex] { \large{\longrightarrow{ \rm{A = 5000 \left( 1 + \frac{ \frac{10}{2} }{100} \right)^{2 \times 2} }}}}[/tex]
[tex] { \large{ \longrightarrow{ \rm{A = 5000 \left( 1 + \frac{10}{2} \times \frac{1}{100} \right)^{4} }}}}[/tex]
[tex] {\large{ \longrightarrow{ \rm{A = 5000 \left( 1 + \frac{10 \times 1}{2 \times 100} \right)^{4} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left(1 + \frac{10}{200} \right)^{4} }}}}[/tex]
[tex]{ \large \longrightarrow {\rm{A =5000 \left( \frac{200 \times 1 + 10}{200} \right)^{4} }}}[/tex]
[tex]{ \large \longrightarrow{ \rm{A = 5000 \left( \frac{200 + 10}{200} \right)^{4} }}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210}{200} \right)^{4} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210}{200} \times \frac{210}{200} \times \frac{210}{200} \times \frac{210}{200} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{210 \times 210 \times 210 \times 210}{200 \times 200 \times 200 \times 200} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \left( \frac{1944810000}{1600000000} \right)}}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \times \frac{1944810000}{1600000000} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5000 \times \frac{194481}{160000} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 5 \times \frac{194481}{160} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = \frac{972405}{160} }}}}[/tex]
[tex]{ \large{ \longrightarrow{ \rm{A = 6077.53 \: (approx.)}}}}[/tex]
Hence, the amount is Rs 6078.
★ Now, we have to find the compound Interest:
According, to the question by using the formula, we get:
[tex]{ \large{ \dashrightarrow{ \boxed{\green{ \rm{Compound \: Interest = A \: - \: P}}}}}}[/tex]
Here,
Amount (A) = Rs 6078 Principal (P) = Rs 5000So, by putting their values we get:-
[tex] { \large{ \dashrightarrow{ \rm{Compound \: Interest = Rs \: 6078 \: - \: Rs \: 5000}}}}[/tex]
[tex]{ \large{ \dashrightarrow{ \rm{Compound \: Interest = Rs \: 1078}}}}[/tex]
Hence, Compound Interest is Rs 1078.
What is the median of 10 , 9 , 8 , 13 , 10
Answer:
8
Step-by-step explanation:
The median is 8 because it is the middle number.
Answer:
10
Step-by-step explanation:
Work out (3. 6 x 10^-5) divided by (1. 8 x 10^2)give your answer in standard form
(3.6 × 10⁻⁵) / (1.8 × 10²)
= (36 × 10⁻⁶) / (18 × 10¹)
= (36/18) × 10⁻⁶⁻¹
= 2 × 10⁻⁷
= 0.0000002
a 20 inch rod fits perfectly in a box 15 inches tall what is the measurment of x in the diagram round to the nearest tenth
The 20-inch rod forms a right triangle with the 15 inches tall box
The value of x in the diagram is 13.2 inches
How to determine the value of xTo calculate the value of x, we make use of the following Pythagoras theorem
[tex]20^2 = 15^2 + x^2[/tex]
Evaluate the exponents in the above equation
[tex]400 = 225 + x^2[/tex]
Subtract 225 from both sides of the equation
[tex]175 = x^2[/tex]
Take the square root of both sides
[tex]x = 13.2[/tex]
Hence, the value of x in the diagram is 13.2 inches
Read more about Pythagoras theorem at:
https://brainly.com/question/654982
If using the method of completing the square to solve the quadratics equation x^2+15x+34
Answer:
Factoring x2-15x-34
The first term is, x2 its coefficient is 1 .
The middle term is, -15x its coefficient is -15 .
The last term, "the constant", is -34
Step-1 : Multiply the coefficient of the first term by the constant 1 • -34 = -34
Step-2 : Find two factors of -34 whose sum equals the coefficient of the middle term, which is -15 .
-34 + 1 = -33
-17 + 2 = -15 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -17 and 2
x2 - 17x + 2x - 34
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-17)
Add up the last 2 terms, pulling out common factors :
2 • (x-17)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-17)
Step-by-step explanation:
PLEASE MARK AS BRAIN LISTWhy did Americans begin to change their mind about the war?
Answer:
Step-by-step explanation:
When WWI began in Europe in 1914, many Americans wanted the United States to stay out of the conflict. So they won't get dragged into it plus it would cause drama between them and Europe and it would go on and on until the other team wins.
Answer:
What war? If your referring to WW2 then because they were provoked from the japanese. IF they attacked the US, then they feared that later in the future they will be overrun when germany plus japan imperialism will be too strong for them.
What is the diameter if the radius is 6ft?
Answer:
Step-by-step explanation:
The radius is approximately . 96 ft.
We will use the formula Circumference = 2pi(radius)
=> C=2pi(r)
=> Substitute 3.14 for pi, and 6 for C
=> 6 = 2(3.14)r
=> 6 = 6.28r
=> .955 =r
=> The radius is approximately .96 ft.
Which table does NOT represent a linear function?
Please Help hurry pls
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 5 inches squares from each corner. The length of the original piece of cardboard is 10 inches more than the width. If the volume of the box is , 2520in^(3) determine the dimensions of the original piece of cardboard.
Answer:
29 feet in lenght, 5 feet in width and 12 feet in height
Step-by-step explanation:
that shou
ld be your answer
PLEASE ANSWER QUICKLY
Answer:
SORRY
I didn't read it correctly
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
As we see the given graph, we can conclude that the time when both the trees will have same height will be the time spam when both the lines cuts each other,
Therefore, After 35 years of planting B, both the trees will have the same height ~
Find the value of x.
Answer:
x = 24
Step-by-step explanation:
A triangle has a total of 180 degrees as its inner angle measurement.
If you look at the bigger triangle, it has two out of three angles: 94 and 41.
Since we know the angle has to be 180, we can simply subtract the sum of 94 and 41. We get 45 degrees.
Now that we have that measurement, we look at the smaller triangle. The 45 degrees is shared both by the bigger one and the smaller one. Which gives us two out of three angles for the smaller one.
Again, add 111 and 45 and then subtract the result from 180. We get 24 degrees.
A tailor uses 75 yards of material to make 30 sweatshirts of the same size. At this rate, how much material is needed to make 1 sweatshirt? 0.4 yard
Answer:
75 yards makes 30 sweatshirts
x yards makes 1 sweatshirt
cross multiply
x = 75/30
2.5 yards
Was £16, Now 20% increase.
Answer:
16 x (1+0.2) = 19.2
Step-by-step explanation:
There you go hope that helps
Factor
k2+7k+10
PLEASE HELP
Answer:
(k + 5) (k + 2)
Step-by-step explanation:
k² + 7k + 10
k² + 2k + 5k + 10
k(k + 2) + 5(k + 2)
(k + 5) (k + 2)
Who wants 100 points? just answer this question… 9+10
Answer:
=19
Step-by-step explanation:
What is the how many prime numbers are there from 100-110.
Answer:
9+10=19 now if yu did 9*10 you would get 90
Step-by-step explanation:
Hopw this helps
have a great day
Thanks for the points
HELP ME PLS. Number 6. WILL GIVE BRAINLIEST
Answer:
64.7!
Step-by-step explanation:
By removing the slowest time, you get an odd number of times. The middle of those odd numbers (63.5, 63.6, 64.7, 65.3, 65.4) is 64.7. Good luck! :)
1, 2, 3, 4, 5.
It would be this one, the third one.
simplify the expression below
[tex]7x { - }^{2} - 4z + 8x { - }^{2} - 5z[/tex]
Answer: -9z + 15/x^2
The correct answer is -9z + 15/x^2 when simplified
Hope this helps =)
What is the approximate volume of the cylinder? Use 3.14 for pie
Answer:
2×pi×radius²
thats it hope this help
What’s the answer??????
Answer:
-131,072
Step-by-step explanation:
a(n)=an-1*-4
128=a(4)
128*-4*4*-4*-4*4=-131072.
Use given triangle to fill in the blank.
PLEASE HELP ME!!!!!!!!!!!!!!!
Answer:
b/c
Step-by-step explanation:
Sin B = opposite side/ hypotenuse = AC/AB
PLOT THE POINT [1.5 -2] PLS HELP ASAP
Answer: 1.5 will be on the point of 1 but just a little bit higher. -2 will be plotted exactly on -2
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLEASE ANSWER!!! How much should be invested now at an interest rate of 5.5% per year, compounded continuously, to have $3500 in two years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
$3,135.42
Step-by-step explanation:
[tex]p{e}^{.055 \times 2} = 3500[/tex]
[tex]p = \frac{3500}{ {e}^{.11} } = 3135.42[/tex]
The person should invest $3135.42 at an interest rate of 5.5% compounded continuously to have $3500 in two years.
What is continuous compounding?The practice of continuous compounding involves computing interest and reinvesting it into the balance of an account for an endless number of periods.
Given that, the interest rate is n = 5.5%comp continuously and the final amount after x = 2 years is P(x) = $3500.
The formula for the final amount in continuous compounding is:
P(x) = P₀eⁿˣ (1)
Where P(x) is the amount after x years, P₀ is the initial amount, and n is the interest rate.
Substitute the values into equation (1):
[tex]3500 = P_{0}e^{5.5\%(2)}\\\\p_{0}=\frac{3500}{e^{0.11}}\\\\P_0=3135.42[/tex]
Hence, the person should invest $3135.42 at an interest rate of 5.5% compounded continuously to have $3500 in two years.
Learn more about continuous compounding:
https://brainly.com/question/19522540
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Point T is reflected over the y-axis. Determine the coordinates of its image.
T (2,5)
O (2,-5)
O (2,5)
O (-2,-5)
O (-2,5)
Answer:
(-2,5)
Step-by-step explanation:
HELP PLEASE ASAP NO LINKS OR SCAMS
Answer:
1
a. 5
b. 32
c. 130
d. 26
2
a. 5.65234
b. 5652.34
c. 8.1253758
d. 8125375.8
Step-by-step explanation:
How do you subtract decimals? I need examples
Answer:
Examples: 0.9 - 0.3 = 0.6; 1.5 - 1.2 = 0.3, 10.8 - 5.3 = 5.5
Step-by-step explanation:
It's the same way of subtracting any regular number just line up the two numbers based on the position of the decimals. Then subtract them, then put the decimal in the position where you have originally lined up to be in the new number.
Look at the diagram I posted for the example!
Hope that helps!
draw a related picture for each of the following
Answer:
where is it?
Step-by-step explanation:
Find the value of X.
Answer: C
Step-by-step explanation: the answer would be C
Hope this helps
a single die is rolled. How many ways can you roll a number that is prime, followed by a 6?
Answer:
3 ways
Step-by-step explanation:
Since 6 will remain constant throughout the testing, we just need to find all prime numbers 1-6.
1 - is not prime nor composite
2 - is prime
3 - is prime
4 - 2x2=4, so composite
5 - is prime
6 - 2x3=6, so composite
Therefore, 2, 3, and 5 are prime numbers, and there are 3 of them.
Answer:
3 ways
Step-by-step explanation:
2 , 3 and 5 are prime numbers.
1÷b +2b÷x=2
solve for x
2b^2/1-2b
Step-by-step explanation:
hope this helps
36,156 feet to fathoms
Answer:
Approx. . 6026
Step-by-step explanation:
Hope This Helps!!!!1
4. One third of the sum of ' r and 8' is _________?
(a) (r + 8) x 3
(b) + 8
(c) -3 x (r + 8)
d) / 3 + 8
Step-by-step explanation:
Break down the expression:
1/3 of the sum of r + 8
The meaning of sum represents the end coefficient/number for adding numbers.
We'll have to add first, then multiply the equation by 1/3.
Our expression:
[tex](r + 8)[/tex]
[tex] \frac{1}{3}(r + 8)[/tex]
1/3(r + 8) is your answer.
