Last year Mr. John Q. Public received an inheritance. He paid $20\%$ in federal taxes on the inheritance, and paid $10\%$ of what he had left in state taxes. He paid a total of $\$10{,}500$ for both taxes. How many dollars was the inheritance?

Answers

Answer 1
Answer:

Answer:

37,500

Step-by-step explanation:

0.2x+0.1(x−0.2x)=105000.2x+0.1(x−0.2x)=10500

0.3x−150x=105000.3x−150x=10500

15x−x50=1050015x−x50=10500

x=10500∗5014=1500∗25=37500


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How to simplify square root of 72?

Answers

Answer: \sqrt[6]{2}

Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36 then recognise 36 as a perfect square, 6 · 6.

There is no need to factor further because the 6's pair up. So a 6 comes out of the radical leaving a 2 inside and our answer is \sqrt[6]{2}.

As you make your factor tree, always be on the lookout for perfect squares such as 36.

I have shown my work in the image attached.

6√2

√72
√8*9
√(4*2*9)
√4*√2*√9
= 2*3*
√2
= 6
√2

What's another way to write (6+7)x?

Answers

i think 6x+7x because i think u distribute 
You can write it as 13x. I hope this helps!

6+7=13               (13)x=13x

in an over-fished area, the catch of a certain type of fish is decreasing at an average rate of 8% per year. If this decline persists, how long will it take for the catch to reach half of the amount before the decline???

Answers

n = n0(1 - 0.08)^t 
= n0(0.92)^t 

Putting n = n0 / 2: 
1 / 2 = 0.92^t 
t = log(1 / 2) / log(0.92) 
= 8.31 yr.

Three sisters shared $3.60 equal. how much did each sisters get?

Answers

360 divided by 3 is 120 so it is $1.20
If you want you could also just do 3.60 divided by 3 which is 1.2 so $1.20, whichever you prefer

The sum of three consecutive even numbers is 450. What is the 3rd number?​

Answers

The three consecutive integers that add up to 450 are 149, 150, and 151.

What are the consecutive numbers?

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of three consecutive even numbers is 450

We need to find the 3rd number of the integers.

Now assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 450

Combine the like terms;

3x+3=  450

X=149

Thus the second number is 149 + 1 and the third number is 149 + 2.

Hence, the 3rd number of the integers would be 151.

Learn more about the consecutive whole numbers;

brainly.com/question/24912446

#SPJ2

Step-by-step explanation:

Which means that the first number is 149, the second number is 149 + 1 and the third number is 149 + 2. Therefore, three consecutive integers that add up to 450 are 149, 150, and 151. We know our answer is correct because 149 + 150 + 151 equals 450 as displayed above.

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If ladybugs have 30 cm x 10 cm rectangles for pumpkins each pumpkin needs exactly 25 square centimeters of space how many pumpkins can they plant

Answers

To calculate how many pumpkins can be planted in a given space, you need to know the total area available and the area required for each pumpkin.

You mentioned that each pumpkin needs a rectangular space of 30 cm x 10 cm, which is an area of (30 cm) * (10 cm) = 300 square centimeters.

Now, if you have the total area available, you can divide it by the area required for each pumpkin:

Total Area Available / Area Required for Each Pumpkin = Number of Pumpkins

If you provide the total area available, I can help you calculate how many pumpkins can be planted.
Ans 12

Explaination
Area = 30*10cm= 300cm^2
Each pumpkin= 25cm^2
No. Of pumpkin that can be planted= 300/25= 12