The simple interest on certain principal is 1/5 of the amount in 5 years, find the rate of interest.
a. 5%
b. 80%
c 6 2/3
d 10%​

Answer:

2 $

Step-by-step explanation:

let the original price be x

price after 10% discount = 3.60$

[tex]x - \frac{10}{100} \times x = 3.60 [/tex]

[tex] \frac{100x - 10x}{100} = 3.60 \\ \frac{90x}{100} = 3.60 \\ 9x = 36 \\ x = 4[/tex]

The original price of 2 pens is 4$

original price of one pen = 4/ 2

= 2 $

Answer:

D) 88 degrees

Step-by-step explanation:

Angle ABC is 1/2Arc AC (Inscribed angle theorem)

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The length of the minor arc = 9 inches

We need to find the length of the radius of circle C.

Let the angle is 0.75 radians.

So,

Radius,[tex]r=\dfrac{l}{\theta}[/tex]

Put all the values,

[tex]r=\dfrac{9}{0.75}\\\\r=12\ inches[/tex]

So, the radius is 12 inches.

Answer:

x > 3

Step-by-step explanation:

3x-9-5x > -3x - 6

3x-5x+3x > -6+9

x > 3

Answer:

y = - 0.5x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = [tex]\frac{-1-2}{2-(-4)}[/tex] = [tex]\frac{-3}{2+4}[/tex] = [tex]\frac{-3}{6}[/tex] = - 0.5

The line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - 0.5x + 0 . that is

y = - 0.5x

Answer:

d∅/dt = √2/5 Rad/sec

Step-by-step explanation:

According to the Question,

Solution,

Let x be the Distance between the base of the wall and the bottom of the ladder.

and let ∅ be the angle between the top of the ladder and the wall.

Then, Sin∅ =x/10  so, x=sin∅ *10

Differentiating with respect to time t we get,

dx/dt = 10 * cos∅ * d∅ /dt

Now, Put these value we get

2 = 10 *(cos(π/4))* d∅/dt

2 = 10/√2 * d∅/dt

d∅/dt = √2/5 Rad/sec

Answer:

[tex]K=-3[/tex]

Step-by-step explanation:

According to the Factor Theorem, a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.

We have the polynomial:

[tex]P(x)=Kx^2-x+2[/tex]

And we want to find the value of K such that (x + 1) is a factor.

We can rewrite our factor as (x - (-1)). Thus, a = -1.

Then in orer for (x + 1) to be a factor, P(-1) must equal 0. Hence:

[tex]P(-1)=K(-1)^2-(-1)+2=0[/tex]

Simplify:

[tex]K+1+2=0[/tex]

Solve for K. Hence:

[tex]K=-3[/tex]

Answer:

Step-by-step explanation:

On the day of the canteen, 800 coupons were sold, the price of each coupon was RM 30 and RM 50 respectively. The amount of money earned from the sale of coupons was RM30000. How many copies of RM30 and RM50 coupons were sold?

Let:

RM 30 = x

RM 50 = y

x + y = 800 - - - (1)

30x + 50y = 30000 - - - (2)

From (1)

x = 800 - y

Put x = 800 - y in (2)

30(800 - y) + 50y = 30000

24000 - 30y + 50y = 30000

24000 + 20y = 30000

20y = 30000 - 24000

20y = 6000

y =

Answer:

44

Step-by-step explanation:

Let's say that Devaughn's age is D, and Sydney's age is S.

We know that D is 7 greater than S, so D = 7 + S.

We know that the sum of their ages, or D + S, is equal to 95, so D+S = 95

We have

D = 7 + S

D + S = 95

What we can do is plug D= 7 + S into the second equation to get

D + S = 95

= (7+ S) + S

= 7 + 2 * S

7+2 * S - 95

subtract 7 from both sides to isolate the coefficient and the variable

2 * S = 88

divide both sides by 2 to isolate the variable

S = 44

Sydney is therefore 44 years old

Answer:

A, 0.13 mph.

Step-by-step explanation:

To get that, divide the cm/sec by 44.704.

6/44.704 ≈ 0.13

Answer: y,0

Step-by-step explanation:

Answer:

[tex]10x - \frac{1}{x} = 3 \\ 10x = 3 + \frac{1}{x} \\ 10x = \frac{3x + 1}{x} \\ 10x \times x = 3x + 1 \\ 10 {x}^{2} = 3x + 1 \\ 10 {x}^{2} - 3x - 1 = 0 \\ 10 {x}^{2} - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = \frac{ - 1}{5} \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = \frac{1}{2} [/tex]

hope this helps you.

Have a nice day!

Answer:

Y= –4X+3

Step-by-step explanation:

Aight, check this out. the X and Ys are gonna form a linear equation.

Y=aX+b

3=a(0)+b===> b=3, so there you got for b

–1=a(1)+3===> a= –4

and the final touch

Y= –4X+3

Answer:

3.8106327168

Step-by-step explanation:

x=2.5/sin(41) = 3.81063271676

Answer:

D

Step-by-step explanation:

all the options seems similar..but i can find the D more suitable

Answer:

answer is b

Step-by-step explanation:

got it right on khan

The domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).

option B is correct.

Here, we have,

The domain of a function refers to the set of all possible input values (x-values) for which the function is defined.

For the given function g(x) = √(8x), the function is defined as long as the expression inside the square root (√) is non-negative.

In this case, the expression inside the square root is 8x.

To ensure that it is non-negative, we need 8x ≥ 0.

Solving the inequality, we find:

8x ≥ 0

x ≥ 0/8

x ≥ 0.

Therefore, the domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).

To learn more on function click:

brainly.com/question/21145944

#SPJ4

Answer:

c = (E/m)^1/2

Step-by-step explanation:

Here, we want to solve for c in the given equation

what we have here is that;

E = m•c^2

Thus;

c^2 = E/m

So we have

c^2(*1/2) = (E/m)^1/2

c = (E/m)^1/2

Answer:

PLZZ MARK ME BRAINLIEST..!

Step-by-step explanation:

Bridgets fish: f , 2f, 3f+2 , 1/2f, 3/5f

Add for total weight: 7 1/10 f +2

Dads fish: 3f+2, 4/5f, 2f+4, 1/2f

Add for total weight:  6 3/10f +6

set the 2 total weights equal:

6 3/10f +6 = 7 1/10f +2

Subtract 6 3/10f from each side:

6 = 8/10f  + 2

Subtract 2 from each side:

4 = 8/10f

Divide both sides by 8/10:

f =  5

Bridget's first fish weighed 5 ounces.

Dads first fish weighed:  2 more than 3 times :3(5) + 2 = 15 +2 = 17 ounces.

13% of 11900 films are action films =1547 films.

Answer:

[tex]{ \tt{ = \frac{13}{100} \times 11900 }} \\ = 1547 \: action \: films[/tex]

Answer:

The vertex is at (1, -108).

Step-by-step explanation:

We have the function:

[tex]f(x)=3(x-7)(x+5)[/tex]

And we want to find its vertex point.

Note that this is in factored form. Hence, our roots/zeros are x = 7 and x = -5.

Since a parabola is symmetric along its vertex, the x-coordinate of the vertex is halfway between the two zeros. Hence:

[tex]\displaystyle x=\frac{7+(-5)}{2}=\frac{2}{2}=1[/tex]

To find the y-coordinate, substitute this back into the function. Hence:

[tex]f(1)=3((1)-7)((1)+5)=3(-6)(6)=-108[/tex]

Therefore, our vertex is at (1, -108).

Answer:

vertex (1, -108)

Step-by-step explanation:

First find the zeros

f(x) = 3(x-7)(x+5)

0 =  3(x-7)(x+5)

Using the zero product property

x-7 = 0   x+5 = 0

x = 7  x = -5

The x coordinate of the vertex is the average of the zeros

(7+-5)/2 = 2/2 =1

To find the y coordinate, substitute the x coordinate into the equation

y = 3(1-7)(1+5) = 3(-6)(6) = -108

Answer:

The prime factors of 168 are 2, 3, and 7.

Step-by-step explanation:

Answer:

A) 0

Step-by-step explanation:

The solution is a couple (x, y) that are the coordinates of the intersection point of the lines.

If the lines are parallel there is no intersection and no solution to the system of equations

The required, system of the equation of the line shown in the graph has no solution. Hence option A. Zero is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Two parallel lines with some space between them are shown on the given graph. The system of equations indicated by the lines cannot be solved since there is no intersection point between them. This indicates that there isn't an x or y value that simultaneously solves both equations.

Thus, option A. zero is correct.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ7

Step-by-step explanation:

hope it helps thnak you

brainliest pls ❤

Answer:

18

Step-by-step explanation:

18

Answer:

3

Step-by-step explanation:

Area = 1/4 * √(5(5+2√5)) * a^2

Area ≈387.11

because each bag only covers 150 we need 3 bags

Answer:

area = 387 ft^2

3 bags

Step-by-step explanation:

See the picture below.

The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.

The left figure shows half of the triangle. We need to find h, the height of the triangle.

For a regular pentagon, the measure of each interior angle is

(n - 2)180/5 = 108

Half of the angle is 54 deg.

tan A = opp/adj

tan 54 = h/7.5

h = 7.5 * tan 54

h = 10.32 ft

Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2

The pentagon is made up of 5 larger triangles or 10 half triangles.

Area of pentagon = 10 * 38.7 ft^2

Area of pentagon = 387 ft^2

1 bag is good for 150 ft^2.

387 ft^2/150 ft^2 = 2.6

She needs 2.6 bags, so she must buy 3 bags.

Answer: 3 bags

Answer:

56 different outfits

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation: