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3 years ago

Each expression with the appropiate property:

Mathematics

1 answer:

Lisa [10]3 years ago

5 0

Answer:

it denotes existence of additive inverse i.e. option A is correct

Explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.

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$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent

photoshop1234 [79]

$\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}$

$A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68$

So the amount after 21 years is: $66328.68

7 0

3 years ago

Solve the inequality 3x - 5 < 4.

Pachacha [2.7K]

Answer:

x < 3

Step-by-step explanation:

Since 3x - 5 < 4 then we can transpose the inequality to make x the subject of the equation:

If 3x - 5 < 4

⇒ 3x < 4 + 5

⇒ x < 9 ÷ 3

⇒ x < 3

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Roman55 [17]

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sashaice [31]

Answer:

Step-by-step explanation:

The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula: 500 3 π = 4 3 πr3 2. undo multiplication of 4 3 : 125π = πr3 3. undo multiplication of π: 125 = r3 4. undo cube: 3√125 = r the radius of the sphere is 6 ⇒ 5 cm

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zalisa [80]

150 is the answer...

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Each expression with the appropiate property:​

Each expression with the appropiate property: