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Mariulka [41]
2 years ago
12

Kronos Industries bought a desktop for $3,000. It is expected to depreciate at a rate of 10% per year. What will the value of th

e desktop be in 4 years? Round to the nearest dollar.
Mathematics
1 answer:
kolbaska11 [484]2 years ago
4 0

Answer:

$1968

Step-by-step explanation:

It will depreciate by 10% 4 times, which means that the result in the end will be <em>$3000 * (100% - 10%) * (100% - 10%) * (100% - 10%) * (100% - 10%)</em>, or, put simply, <em>x = $3000 * (0.9)⁴</em>.

Power: x = $3000 * 0.6561

Multiply: x = 1968.3 ≈ $1968

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Julia is planning to attend the same private four-year college her parents attended. She wants to save at least $18,000 in four
Inga [223]

Answer:

c.

d.

e.

Step-by-step explanation:

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2 years ago
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Two new drugs are to be tested using a group of 60 laboratory mice, each tagged with a number for identification purposes. Drug
lakkis [162]

Answer:

4.979044478499338 × 10²⁶

Step-by-step explanation:

Combination can be used to determine the number of ways the mice can be selected for the drugs (A, B) and the control group.

Combination factorial is define by  ⁿCr = \frac{n!}{(n-r)!r!}

21 group of mice receiving Drug A  can be selected in ⁶⁰C₂₁ = \frac{60!}{21!39!}

(60 - 21 = 39 ) mice remained for selection of 21 mice for the second drug

Drug B 21 mice can be chosen with ³⁹C₂₁ = \frac{39!}{21!18!}

( 39 - 21 = 18)  remained for control with ¹⁸C₁₈ = \frac{18!}{18!0!}

The number of ways the mice can be chosen for drug A, drug B and the control = ⁶⁰C₂₁ × ³⁹C₂₁ × ¹⁸C₁₈ = \frac{60!}{21!39!} × \frac{39!}{21!18!} × \frac{18!}{18!0!} = 4.979044478499338 × 10²⁶

8 0
1 year ago
Which is the simplified form of x Superscript negative 12?
chubhunter [2.5K]

Answer:

C.\frac{1}{x^{12}}

Step-by-step explanation:

We are given that an expression

(x)^{-12}

We have to find the simplified form of given expression.

We know that

a^{-b}=\frac{1}{a^b}

Using the property then we get

x^{-12}=\frac{1}{x^{12}}

Hence, the simplified form of x^{-12} is given by

\frac{1}{x^{12}}

Option C is true.

5 0
1 year ago
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phan fills the tank of her car with gasoline before starting her road trip. the table below shows the amount of gas left in her
liq [111]
G(h)    h
12      3
8        5
4        7
0        9

Equation of the line:

slope = [12-0]/[3-9] = 12 / -6 = -2

g / [h - 9] = -2

g = -2(h-9)

g = -2h + 18

g = 18 -2h

Filling the tank ==> h = 0

g = 18 - 2(0) = 18

Answer: first option g = 18 -2 h; 18
8 0
2 years ago
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Which will result in a difference of squares? (negative 7 x + 4)(negative 7 x + 4) (negative 7 x + 4)(4 minus 7 x) (negative 7 x
nevsk [136]

Answer:

(negative 7 x + 4)(negative 7 x minus 4)

Step-by-step explanation:

Consider two real numbers a and b. A difference of squares involving a and b is usually given as;

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The difference of the two squares above can be factored to yield;

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This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.

The expression;

(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)

( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)

Expanding the last expression yields;

-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares

3 0
2 years ago
Read 2 more answers
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