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Paul [167]
3 years ago
5

Solve the inequality 7(x + 4) > 0.

Mathematics
2 answers:
sergejj [24]3 years ago
4 0

Answer:

x > - 4

Step-by-step explanation:

matrenka [14]3 years ago
3 0

Answer:

x > - 4

Step-by-step explanation:

Given

7(x + 4) > 0 ← distribute left side

7x + 28 > 0 ( subtract 28 from both sides )

7x > - 28 ( divide both sides by 7 )

x > - 4

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Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont
love history [14]

Answer:

\approx 17.5% per annum

Step-by-step explanation:

<u>Given:</u>

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

<em>Interest is compounded annually.</em>

<u>To find:</u>

Rate of growth = ?

<u>Solution:</u>

First of all, let us have a look at the formula for compound interest.

A = P \times (1+\frac{R}{100})^T

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%

So, the correct answer is \approx <em>17.5% </em>per annum and compounding annually.

6 0
3 years ago
Cindy's cylindrical paint bucket has a diameter of 12 inches and a height of 14.5 inches. If 1 gallon = <img src="https://tex.z-
ser-zykov [4K]

Answer:

Base area is 113.14 inches²

Volume is 1640.75 inches²

Number of gallons is 7.1 gallons

Step-by-step explanation:

Please refer to the attached image for explanations

7 0
3 years ago
How many photocopies can you make for $2.00 at the rate of three copies for ten cents?
tigry1 [53]
Im not 100% that thats correct but im pretty sure it is.
6 0
3 years ago
Read 2 more answers
If an odd number of negative numbers are multiplied together, which of the following is true about their product?
aleksandrvk [35]

Answer:

it will be a positive number that is even

Step-by-step explanation:

this is because two negative numbers multiplied make a positive and two odd number multiplied make an even.

please leave a thanks if im correct

5 0
3 years ago
A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters, and the distance betw
Leviafan [203]

Answer:

  5.7 meters

Step-by-step explanation:

The Pythagorean theorem can be used to find the second leg (b) of a triangle with diagonal (c) 6 meters and first leg (a) 2 meters.

  c^2 = a^2 + b^2

  6^2 = 2^2 +b^2

  b^2 = 36 -4 = 32

  b = √32 ≈ 5.7 . . . . meters

The kitchen is about 5.7 meters long.

8 0
3 years ago
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