Answer:
Step-by-step explanation:
So the integral of 2 is 2x + c, where c is a constant. An "S" shaped symbol is used to mean the integral of, and dx is written at the end of the terms to be integrated, meaning "with respect to x". This is the same "dx" that appears in dy/dx . To integrate a term, increase its power by 1 and divide by this figure.
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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Can someone help please??
ASAP
The volume of the crayon given it's dimensions is 4,647.9 mm³
The surface area of the crayon is 2,388.9 mm².
What is the volume and surface area of the crayon?Cylinder:
r = d/2
= 8.5 mm/2
= 4.25 mm
h = 80 mm
Cone
r = d/2
= 6.5 mm/2
= 3.25 mm
h = 10 mm
Volume of a cylinder = πr²h
= 3.14 × 4.25² × 80
= 3.14 × 18.0625 × 80
= 4,537.3 mm³
Volume of a cone = 1/3πr²h
= 1/3 × 3.14 × 3.25² × 10
= 1/3 × 3.14 × 10.5625 × 10
= 331.6625/3
= 110.5541666666666
Approximately,
110.6 mm³
Volume of the crayon = Volume of a cylinder + Volume of a cone
= 4,537.3 mm³ + 110.6 mm³
= 4,647.9 mm³
Surface area of a cone = πr (r + √h² + r²)
= 3.14 × 3.25(3.25 + √10² + 3.25²)
= 3.14 × 3.25(3.25 + √100 + 10.5625)
= 3.14 × 3.25 (3.25 + √110.5625)
= 3.14 × 3.25(3.25 + 10.5)
= 3.14 × 3.25(13.75)
= 3.14 × 44.6875
= 140.3 mm²
Surface area of a cylinder = 2πrh + 2πr²
= 2×3.14×4.25×80 + 2×3.14×4.25²
= 2,135.2 + 113.4325
= 2,248.6 mm²
Surface area of the crayon = Surface area of a cone + Surface area of a cylinder
= 140.3 mm² + 2,248.6 mm²
= 2,388.9 mm²
Hence, 2,388.9 mm² and 4,647.9 mm³ is the surface area and volume of the cone.
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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
Write the equation for an absolute value function with the following transformations:
translate left 9 units, stretch by a factor of 5, and translate down 23 units
Answer:
j(x) = 5 |x+9|-23
Step-by-step explanation:
f(x) = |x|
translate left 9 units
y = f(x + C) C > 0 moves it left
g(x) = |x+9|
translate down 23 units
y = f(x) + C C < 0 moves it down
h(x)= |x+9|-23
stretch by a factor of 5
y = Cf(x) C > 1 stretches it in the y-direction
j(x) = 5 |x+9|-23
(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...
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
Sumaya has 105 apples, she gave Adelina 42. How many apples does Sumaya now
have?
Multiplication
Subtraction
Addition
Division
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:
What is 30% of 35,000?
Answer:
30% of 35,000 is going to be 10,500
Step-by-step explanation:
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
In 1999, 68% of households with TV’s subscribed to cable TV. If 8,000 more subscribers are added to the number of households with cable, the total number of households with cable TV would be 67,600,000. How many households were there with TV in 1999?
Answer:
45962560
Step-by-step explanation:
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 me solve this fast!
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
Raina runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2.4miles
Step-by-step explanation:
3/25 = x/20
60/25=x=2.4miles
Set up a ratio:
3/25 = x/20
Cross multiply:
3x 20 = 25x
60 = 25x
Divide both sides by 25
X = 2.4 miles
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
Rebecca is planning a road trip to her school. She looks at a map that has a scale of 1/4 inch to 25 miles. The road distance between her home town and her school measures 7 inches on the map. If d represents the road distance between the two towns, what is d?
A. 28 mi.
B. 100 mi.
C. 175 mi.
D. 700 mi.
Answer:
Answer option D: "700 mi."
Step-by-step explanation:
if the coordinate of a is (0,-2) and the coordinate of (10,-6) then midpoint of ab is
Answer:
(5,-4)
.......
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:
find the missing number 1,2,6,15,31___?
4
5
6
7
8
9
10
11
12
13
14
16
17
19
20
21
22
23
24
25
26
27
28
29
30
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 integer represents a gain of 3 yards?
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°
Lisa purchased almonds for $3.50 per pound. She spent a total of $14.70. How many
pounds of almonds did she purchase?
Answer:
4.2
Step-by-step explanation:
Ways to write 58.25?
Answer:
58 1/4, 233/4, 5825%
Step-by-step explanation:
Answer:
You can write as a fraction, a percentage, and in word form
Step-by-step explanation:
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.
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
(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
2(3x - 2) - 11x = -5x
Is this Infinitely many solutions?
Answer:
no solutions
Step-by-step explanation:
2(3x - 2) - 11x = -5x
Distribute
6x -4-11x = -5x
-5x-4 = -5x
Add 5x to each side
-5x-4+5x = -5x+5x
-4 = 0
This is never true so there are no solutions
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
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
