Light shines through window what is the area of a trapezoid shaped region created by the light

Answer:

B

Step-by-step explanation:

there are 7 blocks in the whole

the green portion is 3/7

1/2 times 6/7 is equal to 3/7

the answer is B

Answer: He has earned $200 interest and the balance of his account is $1,200.

Step-by-step explanation:

Given: Principal : P = $1,000

Simple interest rate : r = 5% = 0.05

Time: t = 4 years

Simple interest = [tex]Prt[/tex]

[tex]=1000\times0.05\times4=200[/tex]

i.e. Simple interest = $200

Balance of account = Principal + Simple interest

=  $1,000 + $200

= $1,200

Hence, he has earned $200 interest and the balance of his account is $1,200.

Answer:

The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb

The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528

22a + 22b + 22c = 528

a + b + c = 528/22

a + b + c = 24      The only option of three different digits with the sum of 24 is 7, 8 and 9.

Hope this helps, stay safe, and merry christmas!

the answer would be -6

Answer:

2.25

Step-by-step explanation:

1.5 times 1.5 is 2.25

"simplify" just means to solve in ur case..

Hope this helps!!

1.5 multiplied by 1.5 equals 2.25.

To simplify the problem 1.5 x 1.5, you can multiply the two numbers together.

To calculate this, you can follow these steps:

Multiply the first digit of the first number (1) by the first digit of the second number (also 1): 1 x 1 = 1.

Multiply the decimal parts of both numbers: 0.5 x 0.5 = 0.25.

Add the results from step 1 and step 2 together: 1 + 0.25 = 1.25.

The final answer is 1.25, but we need to consider the decimal places. Since both numbers have one decimal place, the final answer will have two decimal places: 2.25.

Therefore, 1.5 x 1.5 simplifies to 2.25.

Learn more about multiplication click;

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Answer:

49% and 30% respectively

Step-by-step explanation:

Step one:

Given data

Principal =  Rs. 4,200

Final Amount= Rs. 9282 respectively

time = 2 years and

time = 4 years

Required

The rate of interest for 2 and 4 years

Step two:

the compound interest formula is

A= P(1+r)^t

for 2 years

Substitute

[tex]9282= 4200(1+r)^2\\\\9282/4200= (1+r)^2[/tex]

[tex]1+r= \sqrt{\frac{9282}{ 4200} }\\\\1+r= \sqrt{2.21} \\\\1+r= 1.49\\\\r=1.49-1\\\\r= 0.49\\\\[/tex]

the rate is 49%

For 4 years we have

[tex]9282= 4200(1+r)^4\\\\9282/4200= (1+r)^4[/tex]

[tex]1+r= \sqrt[4]{\frac{9282}{4500} } \\\\1+r=\sqrt[4]{2.21} \\\\1+r= 1.30\\\\r=1.30-1\\\\r= 0.30\\\\[/tex]

the rate is 30%

Answer:

Commission= $53.82

Step-by-step explanation:

First, we need to calculate the gross profit of the sale:

Gross profit= sale price - total cost

Gross profit= 899 - 600

Gross profit= $299

Now, the commission made by the seller:

Commission= gross profit*commission rate

Commission= 299*0.28

Commission= $53.82

Answer:

Money she has = 12$ = 12*100 = 1200 Cent

cost of flour = 7.45 $ = 745 Cent

Remaining money = 1200-745 = 455 Cent

cost per pound of cabbage = 85 Cent

Total pound of cabbage that can buy = 455/85 = 5.35 pound

Answer:

1- 42%

2- 47%

3- 40%

4- 62%

parking lot 4 had the greatest percentage of blue cars

Step-by-step explanation:

Answer:

Lot 4 had the greatest percentage of blue cars.

Step-by-step explanation:

15 of the 36 cars in lot 1 were blue  =  41.66 %

43 of the 92 cars in lot 2 were blue  = 46.73 %

12 of the 30 cars in lot 3 were blue  = 40%

32 of the 52 cars in lot 4 were blue = 61.53 %

Answer:

option b the median would decrease

Answer:

= 29.09

thats the answer

Answer:

The answer is the first one - Additive Inverse.

Answer: it’s 1160000

Step-by-step explanation: hope I helped:)

Answer:

hope it helps you a little

From your previous questions, you know

(3w + w⁴)' = 3 + 4w³

(2w² + 1)' = 4w

So by the quotient rule,

R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²

That is, the quotient rule gives

R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²

I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:

R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²

Answer:

[tex]4x+8y= 1848\\\\x+y= 283[/tex]

Step-by-step explanation:

Step one:

The admission price for children is $4

The admission price for adults is $8

Let be the number of children and

let y be the number of adults.

The total amount the theater collects in admissions for the day is $1848.

4x+8y= 1848-----------1

The total number of visitors is 283.

x+y= 283----------------2

Step two:

the system of equation for the situation is

4x+8y= 1848

x+y= 283

Answer:

7 13/20

Step-by-step explanation:

Answer:

7 13/20

Step-by-step explanation:

add whole numbers add fraction parts

3+4=7

2/5=8/20

1/4=5/20

8/20+5/20=13/20

7+13/20=7 13/20

Answer: 25%

The percentage change between 64 and 80 is a 25% increase.

Step-by-step explanation:

Answer:

Percent of increase - 80 - 64 = 16

% increase = Increase ÷ Original Number × 100.

= 16 ÷ 64 × 100

= 25 ℅

Answer:

I think it is C.

Step-by-step explanation:

Answer: the answer is 24

Step-by-step explanation: all you need to do is add 38 and 21 which is 66 then subract it by 90 which is the degree size.

Answer:

1 solution

a=-5

Step-by-step explanation:

Answer: it D. 1,512

Step-by-step explanation: i hop this helps if it wrong sorry about that

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s

Answer:

First Box: 3/6 --- 1/2

Second Box: 3/10

Answer:

C

Step-by-step explanation:

Took the test

isosceles Acute

Step-by-step explanation:

I think I'm pretty sure that right sorry if I'm wrong

Answer:

x=22

Step-by-step explanation:

(x-2)^1 =5                  Anything to the 1st power is 1 Multiply both sides by 4                                                            

x-2=20                      Move the constant (20) to the right and change its

x=20+2                      sign

x=22

Answer:

C. -6w-39

Step-by-step explanation:

Answer:

the correct solution is C.-6w-39

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

Answer: