If $4500 earns $120 simple interest at a flat rate of 2% p.a., calculate the duration of the investment.

Please help me with understanding the steps to getting the answer as well as the solution. Thx

Answer:

314.16ft²

Step-by-step explanation:

A = πr² = π · 10² ≈ 314.15927ft²

Answer:

100π ft²

Step-by-step explanation:

r= 10 ft

A= πr²= π*10²= 100π ft²

Answer:

The white paint is 1.5 times the red paint. 1.5 is the same as 1 1/2 or 3/2. x = 3/2 y

Step-by-step explanation: In the graph there is one point where both x and y is a whole number.  3,2  . 3 white paint is equal to 2 red paint. You divide 3 by 2 which is 1.5, or 1 1/2 or 3/2. The relationship is that x is 3/2 times y. x = 3/2y

Answer:

the answer is d

\can i get a brainliest pls

Answer:

42

Step-by-step explanation:

Average =

Sum of the terms/ number of terms

Terms here refers to the data or the values given

So,

The sum is 12+43+51+62= 168

The number of terms is 4

Therefore the average is,

168/4

= 42

Answer:

42

Step-by-step explanation:

Average =  

Sum

/Count

=  

168/4

=  42

MARK ME BRAINLIEST

Answer:

[tex]y=\frac{5}{4} x + \frac{5}{4}[/tex]

Answer:

see below

Step-by-step explanation:

P( math or english) = number of math or english / total

This would include the people that studied both (20+11+39)

                                = 70/100

P( math and english) = number of math and english / total

This is the people that studied both

                                = 11/100

P( math or english but not both) = number of math or english / total

This includes only the people that study one or the other but not both (20+39)

                                = 59/100

Answer:

[tex]\boxed{\sf {view \: explanation}}[/tex]

Step-by-step explanation:

[tex]\sf a) \ \frac{maths+english }{total}[/tex]

[tex]\sf \frac{20+11+39}{100} =\frac{70}{100}[/tex]

[tex]\sf b) \ \frac{intersection \ of \ math \ and \ english }{total}[/tex]

[tex]\sf \frac{11}{100}[/tex]

[tex]\sf b) \ \frac{excluding \ intersection \ of \ math \ and \ english }{total}[/tex]

[tex]\sf \frac{20+39}{100} =\frac{59}{100}[/tex]

Answer:

1/14 or 7%.

Step-by-step explanation:

violet crayon probability: 1/7

Orange probability: 1/7

Violet, then orange probability: 1/14

1/14 = about 7%

Answer:

x = -1  y = -1

Step-by-step explanation:

x + 3y = −4

x + 5y = −6

Multiply the first equation by -1

-x - 3y = 4

The add to the second equation to eliminate x

-x - 3y = 4

x + 5y = −6

--------------------

 2y = -2

Divide by 2

2y/2 = -2/2

y = -1

Now solve for x

x+3y = -4

x +3(-1) = -4

x -3 = -4

Add 3 to each side

x-3+3 = -4+3

x = -1

Answer:

work is pictured and shown

Answer:

(x - 2)² + (y + 1)² = 9

Step-by-step explanation:

Circle equation: (x - h)² + (y - k)² = r²

Simply plug in your center (h, k) and your radius r and you have you final answer!

Answer:

sorry just saw the choices now. Okay here is the answer.

b=40

Step-by-step explanation:the answer is 40 because if u do .85*40 that gives u 34 the rest of them will just give you a decimal number and u can't have that for the amount of games. Hope it helps.

Answer:

k=9

Step-by-step explanation:

m=–4=slope

slope formula= m = (y1–y2)÷(x1-x2)

In this case, we are missing the value of y1, so we just need to isolate it:

–4=(k–1)/(2-6)

simplify parentheses

–4=(k–1)/–2

multiply by –2 on both sides

8=k–1

add 1 to both sides

k=9

Thank You

Answer:

Area(PART)= 7.5 u^2

Step-by-step explanation:

RT=1 unit

PA=4 units

Distance between T (or R) and PA= 3 units

RT;PA = Bases

T (or R)--> PA= Altitude/Height

Area of trapezoid= Alt(B1+B2)/2

--> 3(1+4)/2

=> 3*5÷2

=15/2

=7.5

Thanks

Answer:

Step-by-step explanation:

1. Start with the y-intercept, (0,4), plot it on the y-axis.

2. Then using the slope you can find more points on the graph.

- Start with simple x coordinates such as 1,2,3...

- plug each into the equation to find the y cooridnate that makes the x coordinate true.

- write each as a coordinate pair and then plot each pair on the graph.

( you may want to use some negative values for x in order to have ease graphing)

- once you have as many points as you desire, must have atleast 2, draw a line connecting each point.

Answer:

1/5(p+2t) = r

Step-by-step explanation:

p = 5r – 2t

Add 2t to each side

p+2t = 5r – 22t

(p+2t) = 5r

Divide each side  by 5

1/5(p+2t) = r

Answer:

[tex] r = \frac{p + 2t}{5} \\ [/tex]

Step-by-step explanation:

[tex]p = 5r - 2t \\ p + 2t = 5r \\ \frac{ p + 2t}{5} = \frac{5r}{5} \\ r = \frac{p + 2t}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

im pretty sure its A, B, D

Hope this helps!

-Delilah

Answer:

First, let's recall some usefull information:

- cot(x) = 1/tg(x) = cos(x)/sin(x)

- tan(x) = sin(x)/cos(x)

We also know that:

- cos(x - pi/2) = sin(x)

- sin(x - pi/2) = -cos(x)

Now we can use those relationships and get:

cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)

So we have verified the identity, and explained step by step why the identity is true.

Answer:

The right order is:

Step-by-step explanation:

To identify the right order of the numbers given in order from the smallest to largest, you first must convert all the numbers to the same mode (fractions, decimals or percentages), in this case, I will transform all the numbers to decimals, for this you must divide the fractions or operate the percentages, and you will obtain:

How you can see, in this form is easier than the original form, now you can identify that 2/5 (0.4) is smaller than 60% (0.6) and 1.05 is bigger than 78% (0.78).

Answer:The right order is:

0.085

1/3

2/5

60%

3/4

78%

1.05

Step-by-step explanation:

Answer: Her double time pay rate = $24.9 per hour.

Step-by-step explanation:

We have given that, Daja is paid $12.45 an hour.

In other words, her usual time pay rate = $12.45 per hour

Also, If Dahja worked overtime and gets paid double time.

Then, her double time pay rate = 2 x (usual time pay rate) [as double means 2 times]

= 2 x  $12.45 per hour

= $ 24.9 per hour

Hence, her double time pay rate = $24.9 per hour.

i.e. Daja is paid $24.9 an hour for overtime.

Answer:

There are 34560 ways the books can be arranged.

Step-by-step explanation:

I crank my 90s like fazeway

Answer:c

Step-by-step explanation:

4/3 times pi times 7 cubed

Answer:

Yeah it's A, on my mama

2x + 4y >_ 3

2x+4y<_3

Answer:

First option ( Did it on edge

Step-by-step explanation:

Answer:

( -4920)

Step-by-step explanation:

we see that the first term is 3 and the common ratio between the succeeding terms is -3. so to  solve for the sum of the first 8 terms

 Sum = (a1)(1 – r^n) / (1 – r)

and substituting the known terms,we got  

  Sum = (3)(1 – (-3)^8)/(1 - (-3)) = -4920

Then the answer   = ( -4920)

Answer:

x=1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2-x = 3-(7-3x)^0.5

-1-x = -(7-3x)^0.5

1+x = (7-3x)^0.5 // ()^2

(1+x)^2 = 7-3x

1+2x+x^2 = 7-3x

x^2+5x-6= 0

(x+6)(x-1) =0

x= 1,6

but you need to see if the solution solve it cause when you ()^2 the sequence you might add up another solution that isn't true. so if you'll see 6 doesn't solve it (try it) so the answer is 1

Answer:

4 is a coefficient

Step-by-step explanation:

4x - 10

x is the variable and 4 is the coefficient since it is next to the variable

-10 is the constant

4x is a term

4x-10 is a sum

Answer:

A) Coefficient.

Step-by-step explanation:

Answer:

386 that lay eggs

Step-by-step explanation:

440-39= 401 hens

401hens- 15= 386

Answer:

386 that lay eggs

440-39= 401 hens

401 hens- 15= 386

:-)

Answer:

Option A. (-1, 0)

Step-by-step explanation:

In the figure attached,

Circle O is a unit circle (having radius r = 1 unit)

If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,

x = r.cosθ

x = 1.cosθ = cosθ

and y = r.sinθ

y = 1.sinθ = sinθ

Therefore, coordinates representing the point A will be (cosθ, sinθ).

As per question the given point A is lying at P (a point having central angle θ = 180°)

Coordinates of point P will be

(x', y') → (cos180°, sin180°)

        → (-1, 0)

Therefore, Option A will be the answer.

We began be finding the volume of each shape, the we subtracted the volume of the cone from the volume of the cube.

Volume of wood that remain = 436.6 cm^3

Given Data

Let us find the volume of the cone

Volume of cone = πr^2h/3

Volume of cone = 3.142*3^2*8/3

Volume of cone = 3.142*9*8/3

Volume of cone = 226.224/3

Volume of cone = 75.408cm^3

Let us find the volume of the cube

Volume of cube = L^3

Volume of cube = 8^3

Volume of cube = 512cm^3

Hence the volume of the wood that remains

= volume of cube - volume of cone

= 512 - 75.408

= 436.6 cm^3

Learn more about volume of solids here:

https://brainly.com/question/21036176

Answer:

Step-by-step explanation:

<6= 125 degrees

<3 = 125 degrees

x = 55 degrees

Answer:

Step-by-step explanation:

55° and ∠4 are corresponding angles made by parallel lines. Therefore, they're congruent.

∠4 = 55°

Lines s and t are parallel lines and ∠4 and x are the interior angles at the same side of the transversal l. Therefore, they're supplementary.

∠4 + x = 180°

55° + x = 180°

x = 180° − 55° = 125°