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denpristay [2]
3 years ago
6

Troy is chasing his little brother Kyle, but Kyle got a 30 second head start. If Kyle is traveling at 2 feet per second on his t

ri cycle and Troy is traveling at 5 feet per second on his skateboard, how many seconds will it be before Troy catches Kyle?
Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:

20!

Step-by-step explanation:

when you add how far kyle's already traveled you get sixty, the rest of the tt lecture explains the rest, leaving you with 20 seconds

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Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank
s344n2d4d5 [400]

formula is A=P(1-\frac{r}{n})^{nt}

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years


we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12


remember that ln(x^a)=a(ln(x))

also that (a^b)^c=a^{bc}

2(5745)=5745(1+\frac{0.065}{12})^{12t}, solving for t

divide both sides by 5745 to simplify things a bit

2=(1+\frac{0.065}{12})^{12t} I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

2=(\frac{12.065}{12})^{12t}

take ln of both sides

ln(2)=ln((\frac{12.065}{12})^{12t})

ln(2)=(12t)ln(\frac{12.065}{12})

divide both sides by 12ln(\frac{12.065}{12})

\frac{ln(2)}{12ln(\frac{12.065}{12})}=t

using our calculator, t≈10.6927


so rounded, we get 10.7 years

3 0
3 years ago
Please help me answer this question.
charle [14.2K]
\bf \textit{hmm how much is 0.25 of the pizzas?}\quad 0.25\cdot 40\implies \boxed{10}\leftarrow  Ronnie
\\\\\\
\textit{we know Mack stacked only \boxed{9}}
\\\\\\
\textit{what is the 35\% of 40?}\quad \left(\frac{35}{100}  \right)\cdot 40\implies \boxed{14}\leftarrow Kim
\\\\\\
\textit{how many remain?}\quad 40-(10+9+14)\implies \boxed{7}\leftarrow Ada

so.. that's how many each did, surely you'd know who did the most pizzas.
4 0
4 years ago
8-5x =2x + 20 <br> Simplify<br> I’ll give brainliest
kobusy [5.1K]

Answer:

X= - 12/7 i hope it is helpful have a nice day if you want steps i will show you

6 0
3 years ago
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19x+46=<br> help meeeeeeeeeeee
strojnjashka [21]

Answer:

u just add it

Step-by-step explanation:

3 0
3 years ago
How to make a graph of an exponential function that shows exponential decay and has a y intercept of 2
Sliva [168]

Answer:

f(x)=2e^{-kx}

in a graph the x value at the y intercept is 0

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if x = 0  thus e^{-kx} = 1

so at 0 the function value would be A

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Step-by-step explanation:

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