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3 years ago

1 inch = 125 miles, city a is 300 miles from city b, what is the distance between the two cities on the map

Mathematics

2 answers:

77julia77 [94]3 years ago

7 0

Answer:

2.4in.

Step-by-step explanation:

If 125 miles is an inch, then it could be put into an equation like this: 125x=300. To solve it, divide both sides 125 to leave X alone on one side. X=2.4. Since 125= 1inch no more needed

Nataliya [291]3 years ago

6 0

Answer:

2.4in.

Step-by-step explanation:

If 125 miles is an inch, then it could be put into an equation like this: 125x=300. To solve it, divide both sides 125 to leave X alone on one side. X=2.4. Since 125= 1inch, then there is no more work needed.

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What is the 214 term in the sequence 7,10,13,16?

mixer [17]

We can figure this out using the explicit formula.

$f(n)=f(1)+d(n-1)$

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.

f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n

Now, we can input 214 for n and solve.

f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646

The 214th term in this sequence is 646.

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3 years ago

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What is the slope intercept equation for (1, 2), (−2, −1)

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Step-by-step explanation:

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2 years ago

If you need $8000 to travel to Europe after you graduate in 4 year. How much would your monthly deposits need to be if your acco

lina2011 [118]

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\
\left. \qquad \qquad \right.(\textit{payments at the end of the period})
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}\to &
\begin{array}{llll}
8000
\end{array}\\
pymnt=\textit{periodic payments}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12\\
t=years\to &4
\end{cases}$

$\bf 8000=pymnt\left[ \cfrac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]
\\\\\\
\cfrac{8000}{\left[ \frac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]}=pymnt\implies \cfrac{8000}{\frac{\left( \frac{241}{240} \right)^{48}-1}{\frac{1}{240}}}=pymnt
\\\\\\
\cfrac{8000}{53.0148852}\approx pymnt\implies 150.9010152318\approx pymnt$

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3 years ago

What is the value of x in the equation ex- y = 30, when y = 15?

Bumek [7]

Answer:

x = 45

Step-by-step explanation:

Solution:

x - y = 30

x - 15 = 30 ( y = 15 given)

x = 30 + 15

Therefore, x = 45

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3 years ago