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2 years ago

VI) You finally purchased a backup oxygen tank needed for the base which originally cost

Mathematics

1 answer:

Bond [772]2 years ago

6 0

Answer:

a) $32,000

b) 9/25

c) 36%

Step-by-step explanation:

Hello!

A) How much did you save?

Let's see. In order to find the savings, we must subtract the new price from the original.

50,000 - 18,000 = 32,000

You saved $32,000 (a pretty good deal!)

B) What fraction of the original price was this?

To find the fraction, we must divide the new price from the original.

18,000/50,000
9,000/25,000 => SImplify
9/25 => Simplify

It's 9 twenty-fifths of the original price.

C) What fraction of the original price was this?

Convert the fraction to percent

9/25
9*4/25*4 => Denominator of 100
36/100
36%

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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$

The power rule of natural logs says we can move that exponent down in front, giving us:

$ln(7.681818182)=t*ln(1.075)$

Divide both sides by ln(1.075) to get

$\frac{ln(7.61818182)}{ln(1.075)} =t$

Do this division on your calculator to get

t = 28.2 years

6 0

3 years ago

Read 2 more answers

7(x-2)=28 Can somebody help me and show the steps?

olya-2409 [2.1K]

Since the 7 is in front of the parentheses you must multiply it by everything inside the parentheses. 7 times X is 7X and 7 times -2 is -14. Then you need to make the X be by itself on one side, to do that you have to add 14 to -14 to make it disappear, and also add 14 to the other side, to 28. Then you divide both sides by 7 to make X be by itself.

7(x-2)=28
7X-14=28
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2 years ago

Is y=1x3 a Proportional or a Non-Proportional

Bas_tet [7]

Answer:

proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

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2 years ago

Solve the equation using square roots.

Virty [35]

Answer: LAST OPTION.

Step-by-step explanation:

1. You have the following equation:

$6x^{2}=54$

2. Then you must solve for x, as following:

$x^{2}=54/6\\x^{2}=9\\x=\sqrt{9}\\x=+/-3$

Therefore, as you can see above, the answer for the exercise is the last option.

7 0

3 years ago

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Compare the functions shown below:

emmasim [6.3K]

The intersection with the y axis occurs when x = 0.
We have then:

For f (x):
$f (0) = -3 (0) - 5

f (0) = 0 - 5

f (0) = - 5$

For g (x):
We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3

For h (x):
$h (0) = 2cos (2 (0) -\pi) +4

h (0) = 2cos (0-\pi) +4

h (0) = 2cos (-\pi) +4$
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Therefore, the graph with the intersection with the largest y axis is h (x)

Answer:
the greatest y-intercept is for:
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3 years ago