$400 interest is earned on a principal of $2000 at a simple interest rat 5% interest per year.for how many year was the principal invested

Hannah collected more acorns than conkers.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9

Total conkers = 4 + 7 + 9 = 20

Ratio of conkers collected by Hannah to total conkers = 9/20

Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5

Total acorns = 3 + 1 + 5 = 9

Ratio of acorns collected by Hannah to total acorns = 5/9

LCM (9, 20) = 180

9/20 = (9 × 9) / (20 × 9) = 81/180

5/9 = (5 × 20) / (9 × 20) = 100/180

Hence Hannah collected more acorns than conkers.

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Answers:

1) [tex]\sf \boxed{1} \ x^2 + \boxed{2} \ x -24[/tex]

2) [tex]\sf \boxed{2} \ x^2+ \boxed{-1} \ x-15[/tex]

3) [tex]\sf \boxed{6} \ x^2+\boxed{19} \ x+10[/tex]

4) [tex]\sf \boxed{2} \ x^2+\boxed{-11} \ x+5[/tex]

solving step wise:

1)

2)

3)

4)

#1

#2

#3

#4

Answer:

Jada fills her aquarium with water at a constant rate of 5cm/minute for 2 minutes. She then stops the water from running for 1 minute. After that, she started to fill the aquarium at a constant rate of 10cm/minute for another 2 minutes. After 5 minutes, she reduces the water running at a rate of 5cm for 2 minutes. After 7 minutes, she turns off the water and the water is at 25cm.

Answer:

Radius = 8 in

Area = πr2 = 3.14 x (8)2= 3.14 x (64)

Area = 201.1429 in²

Step-by-step explanation:

hope this helps if not please let me now

Answer:

615.44 ft 2

Step-by-step explanation:

radius times radius times 3.14(pie)

Answer:

Area of circle = pie r²

22/7×14²

616,,

According to me

Answer:

18.5

Step-by-step explanation:

37 divided by 2 is 18.5

Answer:

The base of this triangle is 2 units wide

Step-by-step explanation:

Your explanation is in the picture shown below!!!

Answer:

Step-by-step explanation:

So this is a cylinder

R= 8.75in

h=43.12in

So it will be = 3.14x8.75²x43.12

=> 3.14x76.5625x43.12

3.14x 3301.375

i think it is correct

.

stay safe

.

have a nice TIME

Answer:

315

Step-by-step explanation:

45 x 7 = 315

Multiples of 7: 7, 14, 21, 28... 301, 308, 315

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405

If you need further explanation, let me know!

- profparis

Step-by-step explanation:

Least common multiple of 45 and 7 is 315

The vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) is the vertex point.

Substitute the values for h and k in the above vertex form.

[tex]f(x) = a(x -5)^2+ 3[/tex]

Use another point and substitute in values for x and f(x). Solve for a.

[tex]5 = a(6 - 5)^2 +3\\5-3=a(1)\\a=2[/tex]

Rewrite the function, using the values for h, k, and a. The function is

[tex]f(x) = 2(x -5)^2+ 3[/tex]

Hence, the vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]

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Answer: 1st slot: 2 | 2nd slot: 5 | 3rd slot: 3 | correct on edge 2023!

salary : $12 per hour

Answer:

25.3m³

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2([tex]\frac{9}{2}[/tex] )x + ([tex]\frac{9}{2}[/tex] )²

= x² + 9x + [tex]\frac{81}{4}[/tex] ← the value of c

= (x + [tex]\frac{9}{2}[/tex] )² ← a perfect square

Answer: Scalene Triangle

Step-by-step explanation:

Answer:

Scalene Triangle

Step-by-step explanation:

Scalene Triangle: All sides are different

Isosceles Triangle: 2 sides are the same

Equilateral Triangle: All sides are the same.

Answer:

$125 you will end up w/ $5125

Step-by-step explanation:

Answer:

$168.75

Step-by-step explanation:

In the morning you'll have a time of about 4 hours.

In the afternoon you'll have 8.5 hours.

You take these and add them together 4 + 8.5 = 12.5

Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75

cscθ is the same as 1/sinθ

Explanation:

csc stands for cosec which is equivalent to   1/sinθ

The expression is thus equal to 1/[sin⁡(4π/3)]

Since we know by consulting the unit circle that  sin⁡(4π/3) = - [(√3)/2]

we get the expression  1/[sin⁡(4π/3)] = 1/(-√3/2)  

which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3

The total purchase price of the car including tax, license, and title $27,722.01.

The purchase price of a car is $25,625 the credit union requires a 10% down payment and an annual interest 9% loan for 36 months. The sales tax is given 7.5%, and the license and title charges are $175.13.

The total sale is the product of the selling price and one plus the sales tax rates.

Total sale = selling price × (1 + sales tax rate)

The price of the car including tax

= $25,625 × (1 +7.5%)

= $27,546.88

By adding license and title charges to the amount, we get

= $27,546.88 +175.13

= $27,722.01

Hence, The total purchase price of the car including tax, license, and title $27,722.01.

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Answer:

The pairs of lines that do not intersect or meet at any point are called parallel lines. These lines lie on the same plane but do not intersect. The line segments or rays that lie on the same plane but do not intersect are also parallel.

Step-by-step explanation:

Answer

A parallel line is a position of two lines on a plane that does not have a point of intersection even though the two lines are extended.Geometrically, parallel lines will never meet each other because they have the same slope (gradient). Parallel lines do not have to be the same length

it should be 137

if not am sorry. am not the best at math

Answer and Explanation:

1 - 0.69/ 2 = 0.155

0.155 = -1.02

(-1.02, 1.02) = z

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is  (-1.02, 1.02).

Z- score refers to how much a given value differs from the standard deviation.

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.

α = 1 - 0.69/ 2

α =  0.155

0.155 = -1.02

z = (-1.02, 1.02)

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Answer:

Your answer would be:

41.2

10¹ = 10

412 / 10 = 41.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Apply Pythagorean theorem

Again

Answer:

2√5

Step-by-step explanation:

The given pyramid is composed of two right angle triangles. Notice the triangles of the pyramid share a common side. With the help of it, we can figure out x

recall Pythagoras theorem

[tex] {a}^{2} + { b }^{2} = {c}^{2} [/tex]

here,

To find:

now plug in the value of a and c in the formula respectively:

[tex] {4}^{2} + { b }^{2} = {10}^{2} \\ \implies {b}^{2} = {10}^{2} - {4}^{2} \\ \implies {b}^{2} = 84 \\ \implies \boxed{ b_{1} = 2\sqrt{21}}[/tex]

here,

Utilizing Pythagoras theorem yields:

[tex] {x}^{2} + { 8}^{2} = {(2\sqrt{21})}^{2} \\ \implies {x}^{2} = {(2\sqrt{21})}^{2} - {8}^{2} \\ \implies {x}^{2} = 20\\ \implies \boxed{ x= 2\sqrt{5}}[/tex]

and we're done!

[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,3)

Equation Form:

x = 2, y = 3

Step-by-step explanation:

[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]

Answer:

ok so lets make this into a algrebra equation

22.2(mil)=0.34x

divide by 0.34

65294117.6471=x

x=65294118

Hope This Helps!!!