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2 years ago

HELP 15.Solve the equation, then choose the correct answer: –4(x – 3) = –8

Mathematics

2 answers:

Dmitry_Shevchenko [17]2 years ago

8 0

Answer:

x = 5

Step-by-step explanation:

-4 ( x - 3) = -8

-4x +12 = -8

-4x = -20

x = 5

Travka [436]2 years ago

8 0

Answer:
-20

Explanation:
Distribute first
-4x + 12 = -8
Subtract 12 on both sides
-4x +12 = -8
-12 -12
-4x = -20
Divide by -4 on both sides
-4x = -20
/-4 /-4
x = 5

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If I deposit $100,000 in a retirement account that gives 8 % paid annually, what will be balance after 25 years?

Zinaida [17]

Answer:

$300,000

Step-by-step explanation:

To find 8% of 100,000 all you need to do is multiply 100,000 by .08.

100,000 (.08) = 8,000

The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.

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2 years ago

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

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