What is-6 5/6 in decimal form? -6.516 -6.3125

Solve for y: 10x=1000 A) y=-100 B) y=100 C) y=10 D) y=-10

prohojiy [21]

$\text {Hey! Let's Solve this Equation!}$

$\text {The Only Step is to Divide 10:}$

$\text {10y/10=1000/10}$

$\text {Your Answer would be:}$

$\fbox {y=100}$

$\text {Note: When dividing a number by 10 all you gotta do is remove a 0}$ $\text { when it comes to dividing numbers like 1000}$

$\text {Best of Luck!}$

8 0

3 years ago

Read 2 more answers

A model for the population in a small community after t years is given by P(t)=P0e^kt.

LUCKY_DIMON [66]

$\bf \textit{Amount of Population Growth}\\\\
A=Ie^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\\
\end{cases}$

a)

so, if the population doubled in 5 years, that means t = 5. So say, if we use an amount for "i" or P in your case, to be 1, then after 5 years it'd be 2, and thus i = 1 and A = 2, let's find "r" or "k" in your equation.

$\bf \textit{Amount of Population Growth}\\\\
A=Ie^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &2\\
I=\textit{initial amount}\to &1\\
r=rate\\
t=\textit{elapsed time}\to &5\\
\end{cases}
\\\\\\
2=1\cdot e^{5r}\implies 2=e^{5r}\implies ln(2)=ln(e^{5r})\implies ln(2)=5r
\\\\\\
\boxed{\cfrac{ln(2)}{5}=r}\qquad therefore\qquad \boxed{A=e^{\frac{ln(2)}{5}\cdot t}} \\\\\\
\textit{how long to tripling?}\quad 
\begin{cases}
A=3\\
I=1
\end{cases}\implies 3=1\cdot e^{\frac{ln(2)}{5}\cdot t}$

$\bf 3=e^{\frac{ln(2)}{5}\cdot t}\implies ln(3)=ln\left( e^{\frac{ln(2)}{5}\cdot t} \right)\implies ln(3)=\cfrac{ln(2)}{5} t
\\\\\\
\cfrac{5ln(3)}{ln(2)}=t\implies 7.9\approx t$

b)

A = 10,000, t = 3

$\bf \begin{cases}
A=10000\\
t=3
\end{cases}\implies 10000=Ie^{\frac{ln(2)}{5}\cdot 3}\implies \cfrac{10000}{e^{\frac{3ln(2)}{5}}}=I
\\\\\\
6597.53955 \approx I$

3 0

4 years ago

What is the range of g(x)?

Jlenok [28]

Answer:

The function g(x) is defined for all real numbers x. The maximum value of the range is 4. The maximum value of the domain is 3. The range of g(x) is {y| –1 < y ≤ 4}.

Step-by-step explanation:

i don't know what your question is exactly but hope this helps.

8 0

3 years ago

What is the answer to -x/3_>5

den301095 [7]

Answer: this is the answer

( {x}^{3} ) {}^{ - 5} = {x}^{ - 15}

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

How much would you need to deposit in an account now in order to have $4000 in the account in 10 years? Assume the account earns

gogolik [260]

Answer:

$2355.06

Step-by-step explanation:

Use the compound interest formula, filling in the numbers you know. Then solve for the number you don't know.

A = P(1 +r/n)^(nt)

where A is the account balance, P is the amount invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

Filling in the given values, we have ...

4000 = P(1 +.053/52)^(52·10) = P(1.6984738)

P = 4000/1.6984738 ≈ 2355.06

You would need to deposit $2355.06 in order to have $4000 in 10 years.

5 0

3 years ago