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Softa [21]
2 years ago
8

.. 600 is what percent of 150?

Mathematics
1 answer:
Roman55 [17]2 years ago
4 0

Answer:

400%

Step-by-step explanation:

We can write a percent proportion:

600/x = 150/100

a:b = c:d

a and d are linked and b and c are linked. So if a is missing, you would do (b*c)/d to get a, if b was missing, you would do (a*d)/c to get b, etc.

So over here we do

(600*100)/150 = 60,000/150 = 400, so x = 400, so that means it's 400% of 150

We can also use benchmark fractions which I find much easier:

100% of 150 is 150.

So 200% of 150 is 300

So 300% of 150 is 450

And 400% of 140 is 600

Every time it increases by 100%, it also increases by 150 on the other side, which makes sense

Let me know if you have any questions.

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A whale costs $14700 and depreciates in value by 8% per year. When will the whale be worth $100
sammy [17]

Answer:

x = 60

Step-by-step explanation:

The question is asking

$14,700 * (1 - 8%)^x = $100

$14,700 * (1 - 0.08)^x = $100

$14,700 * (0.92)^x = $100

(0.92)^x = $100/$14,700

log(0.92^x) = log($100/$14,700)

x * log(0.92) = log(0.0068027)

x = log(0.0068027)/log(0.92)

x = 59.85

Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.

3 0
3 years ago
What is the square footage for this property described by the metes-and-bounds method? Beginning at the point of the southerly s
Nataly [62]

Answer:

  A.  20,000 square feet

Step-by-step explanation:

The description is that of a rectangle 200 ft long and 100 ft wide. The area is the product of those dimensions:

  area = (200 ft)(100 ft) = 20,000 ft²

4 0
3 years ago
Rationalize the denominator of 4/14 root 2?
Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}

5 0
3 years ago
Which of the following nonlinear inequalities is graphed below
Rashid [163]

Answer:

(x²/4) + (y²/16) ≤ 1

Step-by-step explanation:

The general form of the ellipse in the graph is

x²/4 + y²/16 = 1

we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct

Choice 1: x²/4 + y²/16 ≥ 1

Choice 2: x²/4 + y²/16 ≤ 1

we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.

try choice 1: 0²/4 + 0²/16  = 0 ≥ 1 (not valid because obviously zero is smaller than 1)  

try choice 1: 0²/4 + 0²/16  = 0 ≤ 1 (this is valid, hence choice 2  is the answer)

4 0
2 years ago
Find the equation of the line using the point-slope forumla. Write the final equation using the slope-intercept form. parallel t
Greeley [361]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 3x - 2 is in this form with slope m = 3

• Parallel lines have equal slopes

Hence the slope of the parallel line = 3

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 3, - 14), hence

y + 14 = 3(x + 3) ← in point- slope form

Distribute and simplify

y + 14 = 3x + 9 ( subtract 14 from both sides )

y = 3x - 5 ← in slope- intercept form


6 0
3 years ago
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