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3 years ago

Examine the problem below in order to calculate the value of b.

Mathematics

2 answers:

Tema [17]3 years ago

6 0

B=63
You divide 1134/18
I think.......

Papessa [141]3 years ago

5 0

B= 63
whenever numbers are written like that, it's multiplied.
so, 18b= 1134. 18×63

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Answer:

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Step-by-step explanation:

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$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
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\begin{array}{llll}
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\end{array}\to &1\\
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\end{cases}
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$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
~~
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$16010.32\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\
t=years\to &9
\end{cases}
\\\\\\
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\\\\\\
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6 0

3 years ago

A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going

IRISSAK [1]

Answer:

45 km/h and 9 km/h

Step-by-step explanation:

Let the rate of boat in still water be b and the speed of the current be c

Speed downstream = b + c
Speed upstream = b - c

We got equations for time:

108/(b - c) = 3 ⇒ b - c = 36
108/(b + c) = 2 ⇒ b + c = 54

Add up the equations:

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