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3 years ago

Factor the expression. d^2 - 8d 16

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

D^2 - 8d + 16 = d^2 - 4d - 4d + 16 = d(d - 4) - 4(d - 4) = (d - 4)(d - 4) = (d - 4)^2

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Answer:

7>x>3

Step-by-step explanation:

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3 years ago

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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

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Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

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

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

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

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

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P = $20,000

A = $500,000

T = 20 years

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Putting all the values in the formula:

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

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4 years ago

WILL MARK BRANLIEST IF GOTTEN RIGHT

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Answer:

Alternate consecurive angles

Step-by-step explanation:

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Solve x/7-x=2x for x

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The answer would be 7-x=x

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dedylja [7]

Answer:

Let the coordinate of focus be $(\pm c , 0)$

As per the statement: The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide.

⇒Length of Major axis=base of an auditorium = 200 feet and Length of a minor axis=wide of a auditorium = 100 ft

Semi-major axis (a) = 100 ft and

semi-minor axis(b) = 50 ft

Then, by an equation:

$c^2 = a^2-b^2$

Solve for c:

Substitute the given values we have;

$c^2=(100)^2-(50)^2$

Simplify:

$c^2 = 7500$

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Therefore, the distance between the foci to the nearest 10th of a foot is, 173.2 ft

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4 years ago