p borrowed Rs. 16000 from a person at 12 % per Annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, how much did he gain after 3 years ? Find it.
Answer:
P earned $ 718.85.
Step-by-step explanation:
Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:
16,000 x 0.12 x 3 = X
1,920 x 3 = X
5,760 = X
16,000 x (1 + 0.12 / 1) ^ 3 = X
16,000 x 1.12 ^ 3 = X
16,000 x 1.404928 = X
22,478.85 = X
22,478.85 - 16,000 = 6,478.85
6,478.85 - 5,760 = X
718.85 = X
Therefore, P earned $ 718.85.
Sally is three times as old as Sam. The sum of their ages is 84. How old is Sally?
Answer:
Sally is 63
Step-by-step explanation:
Represent Sally's age by x and Sam's by y.
Then x = 3y and x + y = 84.
Substituting 3y for x in the second equation, we get:
3y + y = 84, or 4y = 84, or y = 21. Since Sally is 3 times as old as Sam, we multiply 21 by 3: Sally's age is 3(21 years) = 63 years
Discover the rate of change (slope) of these two points. (-4,5) and (5,-4).
Answer:
-1
Step-by-step explanation:
y2-y1/x2-x1
-4-5/5- -4
-9/9
-1
PLEASE please help me! this is due tonight. thank you
explaining your answer = brainliest/ five stars
the perimeter of this square is 48 cm. c = ___ cm
Answer:
c = 12
Step-by-step explanation:
If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12
Brainliest pls
Factor the following expression.
12x2 + 22x + 8
Answer:
The answer is 2(23x+4).
A jeweler had a fixed amount of gold to make bracelets and necklaces. The
amount of gold in each bracelet is 6 grams and the amount of gold in each
necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more
necklaces than bracelets. Write a system of equations that could be used to
determine the number of bracelets made and the number of necklaces made.
Define the variables that you use to write the system.
Answer:
6b+16n=178
n=b+7
Step-by-step explanation:
Let b=the number of bracelets made
Let n=the number of necklaces made
System of Equations:
6b+16n=178
n=b+7
Ranking correct answer brainliest :)
Answer:
b) tan 26° = 18/x
Step-by-step explanation:
tan is opposite/adjacent
Answer:
Answer B
Step-by-step explanation:
You have the angle, the opposite and are looking for the adjacent
The only solutions is using tan
tan = opposite / adjacent
Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9
Answer:
[tex]n=9[/tex]
Step-by-step explanation:
[tex]3n-18=9[/tex]
[tex]3n+18=[/tex] +18
[tex]3n=27[/tex]
[tex]3(9)=27[/tex]
[tex]n=9[/tex]
Ryan took a hike on sunday. he hiked uphill for 15 minutes. then he hiked another River for 12 minutes. he hiked downhill for 8 minutes along a river for 5 minutes. how many seconds did Ryan hike on Sunday? plz help
Answer:
2400 seconds
Step-by-step explanation:
Answer:
40 min = 2400 sec
Step-by-step explanation:
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters. What is the volume of the warehouse?
Answer: [tex]20,706\ m^3[/tex]
Step-by-step explanation:
Given
The warehouse has the following dimension
Height is [tex]h=8\frac{1}{2}\ m[/tex]
[tex]h=\dfrac{17}{2}\ m[/tex]
Length is [tex]l=120\ m[/tex]
Width is [tex]w=20\frac{3}{10}\ m[/tex]
[tex]w=\dfrac{203}{10}\ m[/tex]
Volume of the warehouse is the product of height, length and width
[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]
Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].
True or False
The radius of the circle is congruent to the radius of an inscribed regular polygon inside the circle.
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. The given statement is True.
What is a polygon?A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The given statement is true and can be observed in the given image below.
Hence, the given statement is True.
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If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of team members are seniors?
Answer:
S = 62.5%
Step-by-step explanation:
Let the junior members be J.Let the senior members be S.Given the following data;
Ratio of J:S = 3:5 = 3 + 5 = 8
To find what percent of team members are seniors;
[tex] S = \frac {5}{8} * 100 [/tex]
[tex] S = \frac {500}{8} [/tex]
S = 62.5%
Additionally, to find what percent of team members are juniors;
J = 100 - S
J = 100 - 62.5
J = 37.5%
answer this one for me thanks ppppp
Answer:
16.6 units
Step-by-step explanation:
Hi there!
We can use the Pythagorean theorem to help us solve this problem: [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle (the hypotenuse) and a and b are the other two sides
It's safe to assume that x is the longest side in this triangle, making it the c value. Plug 14 and 9 into the equation as a and b and solve for x:
[tex]14^2+9^2=x^2\\196+81=x^2\\277=x^2\\x=16.6[/tex]
Therefore, the value of x is 16.6 units when rounded to the nearest tenth.
I hope this helps!
Help me with this problem !!!!!!!!!!
Answer:
Hi, your answer is y=[tex]-\frac{1}{2} x[/tex]-3
Step-by-step explanation:
We will use the slope-intercept formula which is
[tex]\frac{y2-y1}{x2-x1}[/tex]
We will use two points in this case I'll use
(-2,-2) and (-8,1)
[tex]\frac{1-(-2)}{-8-(-2)}[/tex]=[tex]-\frac{3}{6}[/tex] which can be simplified as [tex]-\frac{1}{2}[/tex]
Your Y will be -3
which your final answer will be y=-1/2x-3
Hope this helps :)
5.Stephanie and Ryan go together to a local video store. Stephanie rents two movies and three
games for a total cost of $24.30. Ryan rents three movies and one game for a total cost of
$18.25. How much does it cost to rent one movie? How much does it cost to rent one game? Show your work
John got $30 for weeding the garden. He used money to buy a $15.25 video game and three snacks that cost $1.25 each. He bought his friend a snack too. If he went home with 1/6 of the money he started with, how much did his friends snack cost? A $5.00 B $6.00 C $8.50 D $11.00 E $13.50 F $14.75
Answer:
B
Step-by-step explanation:
His friends snack was 6 dollars.
15.25+1.25= 16
16+1.25= 17.25
17.25+1.25= 19
1/6 of 30 is 5 because 5x6=30.
30-19=11
He has to have 5 left over so the snack was 6 dollars.
ahhh help its PLATO
'la
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
b One of these numbers is the area of the outside curved surface of the cylinder, in cm', using
= 3. Which one?
A 15 B 30 C 1000 D 1500 E 3000
Answer:
B
[tex]area = 2\pi \: rh \\ = 2 \times 3 \times 5 \times 1 \\ = 30 \: {cm}^{2} [/tex]
The following is a parallelogram solve for the variables
Select the equivalent expression.
the equivalent expression is C
What is another name for the line GI in the image below?
Answer:
Line m
Step-by-step explanation:
The line is labeled with an m.
Select the FOUR equations that are equivalent to 2(x+3)−2=16.
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
D x+3=9x plus 3 is equal to 9
E 2x=122 x is equal to 12
F 2x=15
Answer:
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
E 2x=122 x is equal to 12
Step-by-step explanation:
Given:
2(x+3) − 2 = 16
2x + 6 - 2 = 16
2x = 16 - 6 + 2
2x = 12
x = 12/2
x = 6
A. (x+3)−1=8
x + 3 - 1 = 8
x = 8 - 3 + 1
x = 6
B (x+3)−2=8
x + 3 - 2 = 8
x = 8 - 3 + 2
x = 7
C 2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12/2
x = 6
D x+3=9x
3 = 9x - x
3 = 8x
x = 3/8
E 2x=12
x = 12/2
x = 6
F 2x=15
x = 15/2
x = 7 1/2
Plz help ill give brainlyest
Answer:
your answer would be become 11 feet
if each square on the grid represents 400mi square how many miles will jacob's family travel?
Answer:
80miles
Step-by-step explanation:
Area of a square grid = L²
L is the side length of the grid
Given that Area of the square = 400mi square
400 = L²
L =√400
L = 20miles
To get the number of miles travelled, we will find its perimeter
P = 4L
P = 4(20)
P = 80miles
Hence Jacob's family travels 80miles
4x + 5 = 3x + 4??????????
4x + 5 = 3x +4
4x - 3x = 4-5
x = -1
value of x is equal to -1
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x +4 (subtract 3x from both sides)
-3x -3x
=1x =0
rewrite: x + 5 = 4 (subtract 5 from both sides)
-5 -5
=0 =-1
Therefore x = -1 (Please mark brainliest hope i helped :)
There are 10 players on the swim team. How many ways can the coach
select 3 people to swim in the relay?
The coach can select 3 people to swim in the relay in 120 ways.
What is combination?'In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter.'
According to the given problem,
Number of players = 10
Number of people to be selected = 3
We know,
[tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex] where, n = Total number of players
r = Number of players to be selected
Number of ways to select 3 people out of 10 = [tex]^{10} C_{3}[/tex]
= [tex]\frac{10!}{3!*7!}[/tex]
= 120 ways
Hence, we can conclude, the coach can select 3 people out of 10 in 120 ways.
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Use this picture to solve for X
Answer:
x=2
Step-by-step explanation:
i would set up a system of equation using the pythagorean theorem:
1^2+x^2=z^2
4^2+x^2=y^2
Add up these equations to get:
17+2x^2=y^2+z^2
But notice that
y^2+z^2=5^2
So you can substitute
17+2x^2=25
2x^2=8
x^2=4
x=2
:)
Find a polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity3 , and 2 as a zero of multiplicity 1.
The polynomial function of degree 7 with the given zeros and multiplicities is: f(x) = x³(x + 2)³(x - 2)
To find a polynomial function with the specified zeros and multiplicities, we can construct it using the factors that correspond to each zero and multiplicity.
Since -2 has a multiplicity of 3, it means it appears three times as a zero. Similarly, 0 has a multiplicity of 3, and 2 has a multiplicity of 1.
A polynomial function with these zeros and multiplicities can be written as:
f(x) = (x + 2)³ × x³ × (x - 2)
To make it a polynomial of degree 7, we can multiply it by an additional linear factor:
f(x) = (x + 2)³ × x³ × (x - 2) × (x - r)
Where "r" is a constant representing the last factor. This factor ensures the degree of the polynomial is 7.
Now, we need to find the value of "r" to complete the polynomial. Since we already have three factors with multiplicity 3 and one factor with multiplicity 1, the polynomial has already reached its degree of 7.
Therefore, we don't need to include the "x - r" factor, and the final polynomial is:
f(x) = (x + 2)³ × x³ × (x - 2)
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The polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 2 as a zero of multiplicity 1 is f(x) = x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2.
To find a polynomial function of degree 7 with the given zeros and multiplicities, we can start by constructing the factors of the polynomial.
Since -2 is a zero of multiplicity 3, we have the factor (x + 2)^3. Similarly, since 0 is a zero of multiplicity 3, we have the factor x^3. Lastly, since 2 is a zero of multiplicity 1, we have the factor (x - 2).
Multiplying these factors together, we obtain:
(x + 2)^3 * x^3 * (x - 2)
Expanding this expression, we get:
(x^3 + 6x^2 + 12x + 8) * x^3 * (x - 2)
To simplify further, we multiply the terms:
(x^6 + 6x^5 + 12x^4 + 8x^3) * (x - 2)
Expanding again, we obtain:
x^7 - 2x^6 + 6x^6 - 12x^5 + 12x^4 - 24x^3 + 8x^3 - 16x^2
Combining like terms, we get:
x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2
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A bike trail is 5 25 miles long. Rosie rides her bicycle on the bike trail 6 days a week. How many miles does Rosie ride per week? Choices are A. 30 2/5 miles B. 30 4/5 miles C. 32 2/5 miles D. 32 4/5 miles Thanks <3
Which expression is equivalent to StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue?
Answer:
15
Step-by-step explanation:
Given :
StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue
THE ABSOLUTE value of any given number is the positive equivalent of that number ; hence ;
|8| = 8 ;
|-7| = 7
Hence,
|8| + |-7| = 8 + 7 = 15
Answer:
15
Step-by-step explanation: