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Fantom [35]
3 years ago
9

suppose your salary in 2013is $ 60,000 .Assuming an annual inflation rate is 6 % ,whats do you need to earn in 2021 in ordertoha

ve the same purchasing power​
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

free fire download www one v one

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During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet
Leno4ka [110]

Answer:

25t+19\leq 144

t\leq5

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = 19+25t

Now, as per question, the total depth should not be more than 144 feet. So,

\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144

Solving the above inequality for time 't', we get:

25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0
3 years ago
Use special right triangles to find the exact value (no decimals).
fgiga [73]

Let’s find some exact values using some well-known triangles. Then we’ll use these exact values to answer the above challenges.

sin 45<span>°: </span>You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2.

sin 30° and sin 60<span>°: </span>An equilateral triangle has all angles measuring  60 degrees and all three sides are equal.  For convenience, we choose each side to be length 2.  When you bisect an angle, you get 30 degrees and the side opposite is 1/2 of 2, which gives you 1.  Using that right triangle, you get exact answers for sine of 30°, and sin 60° which are 1/2 and the square root of 3 over 2 respectively.

Now using the formula for the sine of the sum of 2 angles,

sin(A + B) = sin A cos<span> B</span> + cos A sin B,

we can find the sine of (45° + 30°) to give sine of 75 degrees.

We now find the sine of 36°, by first finding the cos of 36°.

<span>The cosine of 36 degrees can be calculated by using a pentagon.</span>

<span>that is as much as i know about that.</span>

5 0
3 years ago
(-5,7) and (2,5) <br> find the slope of the line passing through the given points
svp [43]

Answer: -2/7

Step-by-step explanation:

To find the slope, you use the formula m=\frac{y_2-y_1}{x_2-x_1}.

m=\frac{5-7}{2-(-5)} =\frac{-2}{7}=-\frac{2}{7}

Now, we know the slope is -2/7.

6 0
3 years ago
Which table represents a function??
faust18 [17]
The 1st Option Is A Function
3 0
3 years ago
Read 2 more answers
Y=4x² – 3<br><br> Identify the domain and range of each function
Sidana [21]

Answer:

Step-by-step explanation:

domain X is real number

range Y larger or equal to -3 (cause 4x^2 is always >= 0)

8 0
3 years ago
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