question 9\nthe ph scale for acidity is defined by ph = - log₁₀h⁺ where h⁺ is the concentration of hydrogen…

question 9\nthe ph scale for acidity is defined by ph = - log₁₀h⁺ where h⁺ is the concentration of hydrogen ions measured in moles per liter (m).\na solution has a ph of 9.95.\ncalculate the concentration of hydrogen ions in moles per liter (m). write the answer in explicit scientific notation, with at least two decimal places.\nthe concentration of hydrogen ions is \nenter scientific notation as follows: 1e - 14 would be entered as 1*10^-14\ncalculator\nquestion 10\nan investment of $99,800.00 earns 10.1% annual interest, compounded continuously. if no funds are added or removed from this account, what is the future value of the investment after 29 years? round your answer to the nearest penny.\nfuture value = $ \ncalculator

question 9\nthe ph scale for acidity is defined by ph = - log₁₀h⁺ where h⁺ is the concentration of hydrogen ions measured in moles per liter (m).\na solution has a ph of 9.95.\ncalculate the concentration of hydrogen ions in moles per liter (m). write the answer in explicit scientific notation, with at least two decimal places.\nthe concentration of hydrogen ions is \nenter scientific notation as follows: 1e - 14 would be entered as 1*10^-14\ncalculator\nquestion 10\nan investment of $99,800.00 earns 10.1% annual interest, compounded continuously. if no funds are added or removed from this account, what is the future value of the investment after 29 years? round your answer to the nearest penny.\nfuture value = $ \ncalculator

Answer

Question 9

Explanation:

Step1: Rearrange the pH formula

Given $pH = -\log_{10}[H^{+}]$, we can rewrite it as $\log_{10}[H^{+}]= - pH$. Then, by the definition of logarithms, $[H^{+}]=10^{-pH}$.

Step2: Substitute the given pH value

We are given $pH = 9.95$. Substituting into the formula $[H^{+}]=10^{-9.95}$. Calculating $10^{-9.95}\approx1.12\times 10^{-10}$.

Answer:

$1.12*10^{-10}$

Question 10

Explanation:

Step1: Recall the continuous - compounding formula

The formula for continuous - compounding is $A = Pe^{rt}$, where $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), $t$ is the time in years, and $A$ is the future value of the investment.

Step2: Convert the interest rate to decimal form

The annual interest rate $r = 10.1%=0.101$, the principal amount $P=$99800$, and the time $t = 29$ years.

Step3: Substitute the values into the formula

$A=99800\times e^{0.101\times29}$. First, calculate $0.101\times29 = 2.929$. Then, $e^{2.929}\approx18.677$. Multiply by the principal: $A = 99800\times18.677=99800\times18.677477\approx1864912.21$.

Answer:

$1864912.21$