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Damm [24]
3 years ago
11

Help me on this questions please. ​

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

The formula for exponential growth is f(x)=a(1+r)^x, where a is the initial amount/number, r is the growth rate, and x is the number of years/month/etc. The problem tells us that the initial area is 4500. Every year, it decreases by 7.25%, which is technically -0.0725. "t" is the time. Therefore, we plug in those values into the formula. Then, we have:

f(x) = 4500(1-0.0725)^t

f(x) = 4500(0.9275)^t.

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Find the y-intercept and the slope. HELP ASAP
Lerok [7]

y-int: 140

slope: -4

to find the slope u gotta use the (y2-y1)/(x2-x1) formula

120-140 = -20

5-0 = 5

-20/5 = -4

4 0
3 years ago
Read 2 more answers
A rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal lin
Dimas [21]

Answer:

119 or 118.726577

Step-by-step explanation:

We should use the Pythagorean Theorem to solve this problem.

a^2+ b^2=c^2

64^2+100^2=c^2

4096+10000=14096

c^2=14096

c=\sqrt{14096}14096

And the root of 14096 is 118.726577.

So the Answer is About 119 meters, or 118.726577

hope this helps!

3 0
3 years ago
Radioactive Decay Beginning with 16 grams of a radioactive element whose half -life is 30 years ,the mass y(in grams) remaining
Flura [38]

Answer:

the equation should be corrected to fit the data of the problem.  With the corrected equation a mass of 0.5 grams remains after 150 years

Step-by-step explanation:

for the mass y( in grams)

y=23* (1/2)^(t/45), t ≥ 0.

the initial mass is at t=0 , then

y= 23 grams  → should be 16 grams

half-life from the equation = 45 years → should be 30 years

the correct equation should be

y=16*(1/2)^(t/30), t ≥ 0

then after 150 years  → t= 150

y=16*(1/2)^(150/30)= 16*(1/2)^5 = 16/32 = 0.5 grams

then a mass of 0.5 grams remains after 150 years

5 0
3 years ago
Your drawer contains 6 black socks and 8 white socks you randomly choose 2 socks without putting any back. What is the probabili
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

First, you have to find the total number of socks. The total is 14. Now, since you choose 2 socks out of 14 in total, the probability is 2/14 or about 14%. To find the percent, just divide the numerator by the denominator. The answer you get is in decimal form. Multiply the decimal by 100. Then, there is your percent.

5 0
3 years ago
Solve 20 - x/3 = x/2 , put the number only in the box.
Nikitich [7]

Answer:

<h2>x = 24</h2>

Step-by-step explanation:

20 -  \frac{x}{3}  =  \frac{x}{2}

Multiply through by the LCM that's 6 in order to eliminate the fraction

That's

6 \times 20 - 6 \times  \frac{x}{3}  = 6 \times  \frac{x}{2}  \\ 120 - 2x = 3x

Using the addition property add 2x to both sides of the equation

That's

3x + 2x = 120 + 2x - 2x \\ 5x = 120

<u>Divide both sides by 5</u>

\frac{5x}{5}  =  \frac{120}{5}

We have the final answer as

<h3>x = 24</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
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