Answer:
The compound interest is Rs8275
Step-by-step explanation:
The rule of the compound interest is A = P[tex](1+\frac{r}{n})^{nr}[/tex], where
A is the new amountP is the initial amountr is the interest rate in decimaln is the number of periodst is the timeThe interest I = A - P
∵ The amount of investment is Rs25000 for 3 years
∴ P = 25000
∴ t = 3
∵ The rate of interest is 10% per annum, compounded annually
∴ r = 10% = 10 ÷ 100 = 0.1
∴ n = 1 ⇒ compounded annually
→ Substitute these value in the 1st rule above to find the new amount
∵ A = 25000[tex](1+\frac{0.1}{1})^{1(3)}[/tex]
∴ A = 25000[tex](1.1)^{3}[/tex]
∴ A = Rs33275
→ Use the 2nd rule above to find the interest
∵ I = 33275 - 25000
∴ I = 8275
∴ The compound interest is Rs8275
You and a friend go to tacos for lunch. You order two burritos and five tacos and your total bill is $16. Your friend's bill is $15 for three burritos and three tacos. How much does a burrito cost? How much does a taco cost?
Answer:
Burrito = $3
Taco = $2
Step-by-step explanation:
Let b represent the cost of burrito
Let t represent the cost of taco
2b + 5t= 16.......equation 1
3b + 3t = 15.......equation 2
Multiply equation 1 by 3 and equation 2 by 2
6b + 15t= 48
-
6b + 6t = 30
9t= 18
t = 18/9
t = 2
Substitute 2 for t in equation 1
2b + 5t= 16
2b +5(2) = 16
2b + 10= 16
2b = 16-10
2b = 6
b = 6/2
b= 3
Hence the price of burritos is $3 and the price of taco is $2
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Answer:
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Multiply and Simplify
√45 x √96
Answer:
[tex]12\sqrt{30}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt{45} \times \sqrt{96}[/tex]
Rewrite 45 as 9 · 5 and 96 as 16 · 6:
[tex]\implies \sqrt{9 \cdot 5} \times \sqrt{16 \cdot 6}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}:[/tex]
[tex]\implies \sqrt{9}\sqrt{5} \times \sqrt{16}\sqrt{6}[/tex]
Rewrite 9 as 3² and 16 as 4²:
[tex]\implies \sqrt{3^2}\sqrt{5} \times \sqrt{4^2}\sqrt{6}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]
[tex]\implies 3\sqrt{5} \times 4\sqrt{6}[/tex]
Multiply 3 and 4:
[tex]\implies 12\sqrt{5}\sqrt{6}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{a \cdot b}[/tex]
[tex]\implies 12\sqrt{5 \cdot 6}[/tex]
Multiply 5 and 6:
[tex]\implies 12\sqrt{30}[/tex]
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's get it done ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{45} \times \sqrt{96} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {3}^{2} \times 5 } \times \sqrt{2 {}^{4} \times 2 \times 3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \sqrt{5} \times 2 {}^{2} \sqrt{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \sqrt{5} \times 4\sqrt{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \sqrt{30} [/tex]
FREE BRAINLIEST AND EXTRA POINTS!!!!
The point (0, 2) is the only solution to the system of linear equations that contains the equations.
y = 1/2x + 2 and y = -3x + 2. Choose the term that describes the set of equations.
a.) dependent equations
b.) inconsistent equations
c.) cannot be determined
d.) independent equations
Answer:
c
Step-by-step explanation:
yeshhhhhhhhhjjhhuhj
Answer:
I think It's A what do you think??
Step-by-step explanation:
Dana needs to buy a bathroom mirror that is 5 feet wide and 7 feet long. If the mirror sells for $4.98 per square foot, what will the total cost of the mirror be
Answer 174.30
Step-by-step explanation: 35 x 4.98 is 174.3
A department store sells a pair of shoes with an 87% markup. If the store-bought the pair of shoes for $55.25, what is the selling price to the nearest dollar?
(23q – 34) and (–16q – r)
Answer:
=−368q2−23qr+544q+34r
Step-by-step explanation:
if 4% of packages get lost in the mail the which decimal represents the amount of packages lost in the mail
Answer:
40
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
4% = 0.04
Find the 10th term of the following sequence:
5, 10, 20, 40, 80
Answer: 5120
Step-by-step explanation:
You amplify 80 by 2, then 160 by 2 and so on
what is the solution of -3x + 7 = -2 ?
Answer:
X= -3
Step-by-step explanation:
Subtract 7 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
3x-2y=-6
3x+4y=12
solve by elimination
Answer:
(x,y) = (0,3)
Step-by-step explanation:
[tex]A:3x-2y = -6\\B:3x+4y=12\\B-A: 3x-3x+4y-(-2y)=12-(-6)\\simplify: 0x+6y=18\\6y=18\\divide\ by\ 6\ on both sides: y=3\\plug 3 into either equation: 3x+4(3)=12\\3x+12=12\\3x=0\\Therefore,\ x=0,y=3\\\\Check work:\ 3(0)-2(3)=0-6=-6[/tex]
Answer:
find the value of 8x³-y³if 2x-yandxy=-1
Choose all the expressions that are equivalent to 12 + 14x – 24x + 3
Answer:
Just combine the x
Step-by-step explanation:
Y=2x+ 5
Y=5x+3
Y=2/3x+-9
Y=-5/4x
Y=-x+3
Y=x-9
Identify the slope for each one
Answer:
The slope is the number with the varible next to it.
Step-by-step explanation:
1. 2x
2. 5x
3. 2/3x
4. x
5. x
giving brainiest plz help fast hurry
Answer: 40
Step-by-step explanation:
suppose we want to solve the bvp using a direct method. if we approximate as , what will the matrix be when using the direct method?
A second-order differential equation with limitations on the solution y = y(x) at two different values of x makes up a second-order boundary-value issue.
What is a differential equation?
Any equation involving the abstract representation y=f(x) including one or more of its derivatives is known as a differential equation.
A function y=f(x) that fulfills the differential equation whenever f and also its derivatives are replaced into the equation is a response to a differential equation.
A system of ordinary differential equations having a solution and derivative values defined at more than one place is referred to as a boundary value problem. A two-point boundary value problem is one where the solution and derivatives are typically provided at just two positions (the boundaries).
A second-order differential equation with limitations on the solution y = y(x) at two different values of x makes up a second-order boundary-value issue. For instance, the boundary value issue y′′ + y = 0 with y(0) = 0 and y (/6) = 4 is quite straightforward.
In light of y′(0) = 0 and y′ (/6) = 4, is y′′ + y = 0.
Learn more about differential equations here:
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Words to know Match each word to know with its definition. dividend the number a dividend is divided by in a division problem divisor the number being divided in a division product the result of dividing one quantity by quotient enetoftwo or more numbers that are multiplied together factor the result of multiplying two or more quantities together
Answer:
can't see it can u reload up
Answer:
u dont need help?
Step-by-step explanation:
still
Find the probability P(z < 0.37) using the standard normal distribution.
Answer:
0.6443
Step-by-step explanation:
Given the that:
P(Z < 0.37) ; using a standard normal distribution :
The probability can be obtained using several methods :
Using a standard normal distribution table ;
P(Z < 0.37) = obtain the value at the intersection where 0.3 is on the vertical axis and 0.07 on the horizontal axis of the Z distribution table
Hence,
P(Z < 0.37) = 0.6443
Can someone plz help me
Answer:
Step-by-step explanation:
because the two lines are not unique.. in other words they lay on top of each other.. they have many solutions and we can't determine price .. so answer C
Can anyone help me with this?
Answer:
around 12.08
Step-by-step explanation:
to do this, you need to do sine cosine tangent. Make sure your calculator is in degrees, not radians. Since the only other side given is the hypotenuse, 16, and y is adjacent to the angle, you use cosine (adjacent/hypotenuse). You do cos(41) and multiply it by 16 to get 12.08
Answer:
12.1
Step-by-step explanation:
41 + x = 90
x= 49
Sine rule:
Sin90 = Sin49
16 y
y= 16sin49
y is approx. 12.1
Simplify. (5x2+2x−5)−(3x2+3x+1)
8x2+5x−4
2x2−x−6
2x2−5x+4
2x2+5x−4
Answer: the answer is 2x2 - x -6
Step-by-step explanation: I searched it
What are the constants in the following expression: -x9 + 5x2 -8 + 3x -4
Answer:
Constants: -8, -4
Step-by-step explanation:
Distribute & Combine like terms in the following expression:
10x - 5y + 5 (5x + y)
Your answer:
Answer:
i think its -15x + 10y
Step-by-step explanation:
10x - 5y + 5 (5x + y)
10x- 5y + 25x+ 5y
combine
-15x + 10y
What is the image of the point (-7,9) after a rotation of 270∘ counterclockwise about the origin?
(?,?)
The image of the point after a rotation of 270∘ counterclockwise about the origin is (9, 7)
How to determine what is the image of the point after a rotation of 270∘ counterclockwise about the origin?The point is given as
Point = (-7, 9)
The transformation rule is given as
270 degrees counterclockwise rotation
The rule of 270 degrees counterclockwise rotation is
(x,y) = (y,-x)
When the above rule is applied to the vertices of the point, we have:
Point' = (9, 7)
Hence, the image of the point after a rotation of 270∘ counterclockwise about the origin is (9, 7)
Read more about rotation at
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Solve for brainliest
Answer:
3 and 6
Step-by-step explanation:
1.) 4r=12
r=3
2.) 4r+3=r+21
3r+3=21
3r=18
r=6
Show that (a + b) (a + b)²=a³+ 3a²b+3ab²+b³
Step-by-step explanation:
(a+b)(a+b)² = (a+b)(a²+2ab+b²)
=a(a²+2ab+b²) + b(a²+2ab+b²)
= a³+2a²b+ab² + a²b+2ab²+b³
=a³+2a²b+ a²b+ab² +2ab²+b³
=a³+3a²b+3ab²+b³
Help me with number 15 and 16
Answer:
Problem 15)
$40.91
Problem 16)
12.446 cm^2
Step-by-step explanation:
Problem 15)
Gala.
12.8 * 1.35 = 17.28
Honeycrisp.
9 * 1.68 = 15.12
Fuji
7.4 * 1.15 = 8.51
17.28 + 15.12 + 8.51 = 40.91
Problem 16)
(area1) + (area2) + (area3) = (total area)
(1.25*4.38) + (1.36*2.15) + (1.14*3.55) = x
5.475 + 2.924 + 4.047 = x
12.446 = x
Help Please today
Using the graph of f(x) and g(x), where g(x) = f(kx), determine the value of k.
A. -2
B. -1/2
C. 1/2
D. 2
Answer:
the answer is b, you welcome
Step-by-step explanation:
Solve (3-3x3+3)
Yea x means
multiply....
A. -3
B. -9
C. 3
D. 0
Answer:
A. -3
Step-by-step explanation:
Multiply first then add or minus
3 - 3 x 3 + 3
3 - 9 + 3
-6 + 3
-3
Answer:
i got 2.7
Step-by-step explanation:
PLEASEEEE HELP , True or False?
7.The altitude and median drawn from the vertex of an isosceles triangle are the same line.
8. The altitude and median drawn from the base angle of an isosceles triangle are the same line.
9. The median of a triangle may be side of the triangle.
10. An altitude of a triangle may be a side of the triangle.
11. A point on the⊥ bisector of a segment is equidistant from the endpoints of the segment.
12.The line y = x and y = - x are perpendicular.
true
false
false
true
false
true
Answer:
g
Step-by-step explanation:
Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the
equations.
Answer:
(X, y) =(3,-3)
Step-by-step explanation:
Use second equation
Apply to the first