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sukhopar [10]
3 years ago
7

Benny gets a job at a law firm with a salary of $70,000 per year. After the first year, his salary increases to $73,000. Over th

e next five years, he gets an increase of $3,000 every year.
Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
The answer is 88,000
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What is the halflife
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To model half-life, use the formula A(t)=A_0 (\dfrac{1}{2})^{ \frac{t}{t_{1/2}}. Here, A(t) is the amount remaining after a length of time t. A_0 is the amount that you start with. t_{1/2} is the half-life. You plug in 50 for t_{1/2}, 10 for A_0, and 25 for t. You get A(t)=10( \frac{1}{2})^{25/50} = 10( \frac{1}{2})^{1/2} = 7.07 \ grams.
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2 years ago
In a free-fall experiment, an object is dropped from a height of h = 400 feet. A camera on the ground 500 ft from the point of i
PilotLPTM [1.2K]
Hmmm the object, is at rest, when dropped, so it has a velocity of 0 ft/s

the only force acting on the object, is gravity, using feet will then be -32ft/s²,


was wondering myself on -32 or 32.. but anyhow... we'll settle for the negative value, since it seems to be just a bit of convention issues

so, we'll do the integral to get v(t) then

\bf \displaystyle \int -32\cdot dt\implies -32t+C
\\\\\\
\textit{object moves from \underline{rest}, so velocity is 0 at 0secs}
\\\\\\
-32(0)+C=0\implies C=0\implies \boxed{v(t)=-32t}
\\\\\\
\textit{now to get the positional s(t)}
\\\\\\
\displaystyle \int -32t\cdot dt\implies -16t^2+C
\\\\\\
\textit{the initial \underline{position} was 400ft away at 0secs}
\\\\\\
-16(0)^2+C=400\implies C=400\implies \boxed{s(t)=-16t^2+400}

when will it reach the ground level? let's set s(t) = 0

\bf s(t)=-16t^2+400\implies 0=-16t^2+400\implies \cfrac{-400}{-16}=t^2
\\\\\\
25=t^2\implies \boxed{5=t}


part B)  check the picture below

5 0
2 years ago
Last onss<br><br>please help me ​
Tpy6a [65]

Answer:

50000 i think and i hope it helps i think it helps idk im tired okay

Step-by-step explanation:

8 0
3 years ago
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Alla [95]

Answer:

you also have to translate 3 units to the right

Step-by-step explanation:

when you finished your reflections the coordinate of the point is (1, -1) while it should be (4, -4), that means you not only need to move it by 3 down but also to the right.

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