The difference between the annual and semi-annual compound interest on a sun of money is Rs. 482 at the rate of 20% per annum for 2 years. Find the sum.
The sum of money cannot be negative, it indicates an error in the calculation. However, the negative value of x suggests that the compound interest for the annual compounding is greater than the semi-annual compounding, which is not possible.
Let's find the sum of money using the given information.
First, we need to calculate the compound interest for both annual and semi-annual compounding.
For annual compounding:
Principal amount (P) = x (the sum of money)
Rate of interest (R) = 20% per annum = 0.2
Time (T) = 2 years
The compound interest for annual compounding is given by the formula:
CI = P * (1 + R)^T - P
CI_annual = x * (1 + 0.2)^2 - x
= x * 1.44 - x
= 0.44x
For semi-annual compounding:
Principal amount (P) = x (the sum of money)
Rate of interest (R) = 20% per annum = 0.2
Time (T) = 2 years
Number of compounding periods in a year (n) = 2 (semi-annual)
The compound interest for semi-annual compounding is given by the formula:
CI = P * (1 + R/n)^(n*T) - P
CI_semi-annual = x * (1 + 0.2/2)^(2*2) - x
= x * (1 + 0.1)^4 - x
= 1.4641x - x
= 0.4641x
The difference between the annual and semi-annual compound interest is given as Rs. 482.
CI_annual - CI_semi-annual = 0.44x - 0.4641x = 482
To solve for x, we can set up the equation:
0.44x - 0.4641x = 482
-0.0241x = 482
x = 482 / -0.0241
x ≈ -20000
Since the sum of money cannot be negative, it indicates an error in the calculation. However, the negative value of x suggests that the compound interest for the annual compounding is greater than the semi-annual compounding, which is not possible.
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-x-4y=-16 in slope-intercept form then find the slope and the y-intercept
Answer:
Slope = (-1/4)
y-intercept = 4
Step-by-step explanation:
Slope intercept form: y = mx + b
Slope = m & y-intercept = b
-x - 4y = -16
-4y = x - 16
Divide the equation by (-4)
[tex]y = \frac{1}{-4}x - \frac{16}{-4}\\\\\\y = \frac{-1}{4}x + 4[/tex]
Slope = (-1/4)
y-intercept = 4
Answer: y = 1/4x + 4
Step-by-step explanation: Slope-intercept form is y = mx + b form.
To get the y by itself, add x to both sides to get -4y = x - 16.
Now divide both sides by -4 to get y = -1/4x + 4.
The y-intercept is our constant term or our 4.
2 points
Find the slope of the line that passes through the following points: (10,-1) and (-8,6).
Answer:
The answer is
[tex] - \frac{7}{18} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(10,-1) and (-8,6)
The slope is
[tex]m = \frac{6 - - 1}{ - 8 - 10} = \frac{6 + 1}{ - 18} = - \frac{7}{18} \\ [/tex]
We have the final answer as
[tex] - \frac{7}{18} \\ [/tex]
Hope this helps you
Mikayla withdrawals $20 on 4 different days. Find total change in her account after the withdrawals
Answer:
subtract $80 from her initial change
Step-by-step explanation:
you didnt say what the initial balance in her bank account was
multiply 20 by 4 to see how much she loses in total and then subtract it from what she had in the beginning
Perform the operation. Enter your answer in scientific notation.
8 × 107 − 5.2 × 107 =
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the "10" . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer: 2.996 × 10 ^2
Step-by-step explanation:
(Question 2 : Select the best answer for the question.)
Temp:
14.2°, 16.4°, 11.9°, 18.5°, 19.4°, 25.1°, 23.4°, 18.1°, 22.6°, 17.2°, 14.2°, 16.4°
Sales:
$205, $335, $183, $407, $415, $617, $549, $424, $449, $411
—2. A local ice cream shop tracks the amount of ice cream they sell each day, along with the high temperature of that day (in°C). The table shows a sample of 10 days from one particular month. Which of the following best describes the relationship between high temperature and ice cream sales?
A. Basically linear and negative
B. Basically linear and positive
C. Curved and positive
D. Curved and negative
Answer:
B is the answer i think
Step-by-step explanation:
because its lenear and positive...
Please help. Image is down below
Answer:
$14.8, so its a decrease in the cost
Step-by-step explanation:
10% of 18.50 is 1.85
1.85 x 2 = 3.7
18.50 - 3.7 = 14.8
Rewrite the following expression. x -9/7
Answer:
(7x - 9)/7
Step-by-step explanation:
x - 9/7 = 7x/7 - 9/7 = (7x - 9)/7
which of the following expressions has the greatest value when x=5? show how you arrived at your choice.
2x^2+7
x^3-5/3
10x -2/ x-3
Answer:
2x^2+7
Step-by-step explanation:
Let x=5
2x^2+7
2 ( 5)^2 +7 = 2*25 +7 = 50+7 = 57
(x^3-5)/3
(5^3 -5)/3 = (125-5)/3 = 120/3 = 40
(10x -2)/ (x-3)
(10*5-2)/(5-3) = (50-2)/(2) = 48/2 = 24
Please help! THank you!
Answer:
the slope is positive
Step-by-step explanation:
the numbers on the g(x) is going up so its positive
Question 1. Point B lies in between points A and C on a given line.
The length of AB = 24, and the length of AC = 40.
Find the length of BC.
Question 2. In the diagram below, m∠VCR=126˚.
Find the measure of ∠NCF.
Answer:
question 1: x=16
question 2: x=55
Step-by-step explanation:
I left an image below to show you my work. I hope this helps!
8 16 and 24 these numbers are what of 8
Answer:
8 16 and 24 these numbers are factors of 8. Sorry if this is incorrect.
Hope this helps, have a great day, stay safe and have a great weekend!
Also Happy Halloween.
Answer:
these are multiples of 8 (multiples are the product of 2 numbers)
Step-by-step explanation:
in this case 8*1=8
8*2=16
and 8*3=24
multiplying 8 by another number creates these numbers
in triangle RST, RT = 12 cm, ST = 12 cm and angle RST = 90 degrees
calculate the length of RS, giving your answer correct to one decimal place.
Answer:
180 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
RS=SQUARD ROOT ((RT) SQUARED+ (ST) SQUARED)
RT =12 SQUARED= 144 ST SQUARED= 144, ADD TOGETHER EQUALS 288.
SQUARE ROOT OFF 288 EQUALS 16.95 RS = 16.9
Solving absolute inequalities
|2x - 11 - 5 > 14
the probability of a dry summer is equal to 0.3, the probability of a wet summer is equal to 0.2, and the probability of a summer with normal precipitation is equal to 0.5.
what is the probability of observing two dry summers?
what is the probability of observing at least 2 dry summers?
what is the probability of not observing a wet summer?
Answer:
s
Step-by-step explanation:
Please help! What is the value
Answer:
It should be the first one (2)
A small radio transmitter broadcasts in a 56 mile radius. If you drive along a straight line from a city 65 miles north of the transmitter to a second city 68 miles east of the transmitter , during how much of the drive will you pick up a signal from the transmitter ?
During the entire drive from the first city to the second city, you will be within the signal range of the transmitter.
To determine how much of the drive you will pick up a signal from the transmitter, we need to find the distance between the two cities and compare it to the radius of the transmitter's broadcast.
Using the Pythagorean theorem, we can calculate the distance between the two cities:
Distance = sqrt((65^2) + (68^2))
Distance = sqrt(4225 + 4624)
Distance = sqrt(8849)
Distance ≈ 94.03 miles
Since the distance between the two cities is 94.03 miles and the transmitter's broadcast radius is 56 miles, we can conclude that for the entire duration of the drive, you will be within the broadcast range of the transmitter.
Thus, you will pick up a signal from the transmitter throughout the entire drive.
During the entire drive from the first city to the second city, you will be within the signal range of the transmitter.
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Kristal said that 50 x 102 is written in scientific notation. Do you agree or disagree with Kristal? Explain. If the answer is incorrect, write the answer in the correct form.
The Kristal's answer is incorrect, and the correct form for 50 x 102 in scientific notation is 5.0 x 103.
Kristal said that 50 x 102 is written in scientific notation. But, this is incorrect as the number should be written as 5.0 x 103.
The reason for this is because in scientific notation, a number is written as a coefficient (a number between 1 and 10) multiplied by 10 raised to a power.
Explanation:Scientific notation is a way of writing very large or very small numbers in a compact form. In scientific notation, a number is written as a coefficient (a number between 1 and 10) multiplied by 10 raised to a power.
For example, the number 500 can be written as 5 x 102 in scientific notation.
Here, the coefficient is 5 and the power of 10 is 2.To write 50 x 102 in scientific notation, we need to convert it into a number between 1 and 10. To do this, we can divide 50 by 10 to get 5, and multiply 102 by 10 to get 103. So, 50 x 102 = 5 x 103 in scientific notation.
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what is 80023 written in a scientific notation
Answer:
8.0023x 10^4
Step-by-step explanation:
80023
to get to the first place number you have to move the decimal 4 times and if it looked like this .80023 it would be 10^-1 going down moving places back wards
Help me And If You Get It Right You Get Brainlist Just Solve The p = _ Image
38POINTS
When a number is decreased by 10% of itself, the result is 9. What is the number?
Answer:
10-10%
Step-by-step explanation:
Think of it like this, 100% - 10% is 90%. But instead of 3 digits, it's just 2. So it would be the same as that just not as a hundred.
Solve for x: 3 over 4 x + 5 over 8 = 4x
x =
Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)
Step-by-step explanation:
3/4x + 5/8 = 4x/1
5/8 = 4x/1 - 3/4x
5/8 = 16x^2 - 3/4x
5/8 = 4x - 3/1
5/8 = 4x - 3
Cross multiply
8(4x - 3) = 5
32x - 24 = 5
32x = 5 + 24
32x = 29
X = 29/32
Given: m∠9 = 50° and m∠5 = 42°. Find the m∠14. Just type the number of the answer in the answer box.
Answer:
138°Step-by-step explanation:
∡5 = 42°
find: ∡ 14
solution:
since ∡5 = ∡13 = 42°
∡14 = 180 - ∡13
= 180 - 42
= 138°
factors of 6 as far as possible
Answer:
Factors Multiples
1,2,3, 6 6 36
Step-by-step explanation:
Hope this helps (:
Answer:
1, 2, 3, and 6
Step-by-step explanation:
Factors are the numbers that you need to multiply to get the product. 2 times 3 is 6, and 1 times 6 is 6.
(5^-2)^5x5^4 which expression is equivalent
Answer:
13225x25
Step-by-step explanation:
(5^-2)^5x5^4
(25-2)^5x5^4
23^*5x5^4
529*5x5^4
529*5x25*4
2645x25*4
13225x25
13225x25
(5^-2)^5x5^4
(25-2)^5x5^4
23^*5x5^4
529*5x5^4
529*5x25*4
2645x25*4
(5^-2)^5x5^4
(25-2)^5x5^4
23^*5x5^4
529*5x5^4
529*5x25*4
2645x25*4
Which of the following is a result of shifting a circle with equation (x-3)2+ (y-5)2 = 36Which of the following is a result of shifting a circle with equation down 2 units
The equation of the shifted circle is (x-3)² + (y-3)² = 36.
Shifting a circle with equation (x-3)² + (y-5)² = 36 down 2 units means that we need to subtract 2 from the y-coordinate of the center of the circle. Since the center of the circle is (3, 5), the new center will be (3, 3) after the shift.
To find the equation of the shifted circle, we can simply replace the y-coordinate of the center with the shifted value in the original equation:
(x-3)² + (y-3)² = 36
This is the equation of a circle with center (3, 3) and radius 6, which is the result of shifting the original circle down 2 units.
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What is 30% of 35,000?
Answer:
30% of 35,000 is going to be 10,500
Step-by-step explanation:
Alice is saving money she makes a deposit of $5 the first month then every month she deposits $10 An refers to months what is the sequence
Answer:
5 15 25 35 45 55 65 75 ect...
Step-by-step explanation:
. What integer represents a gain of 3 yards?
Help mwah please!!!!!!!!!!!!!!!!!!!!11
Answer:
15^3
Step-by-step explanation:
When you divide exponents you're really subtracting them.
