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3 years ago

Tim is 3 times as old as chris and is also 14 years older than chris. how old is tim?

Mathematics

1 answer:

Luda [366]3 years ago

7 0

Let y represent Tim's age and let x represent Chris's age.

y=3x

y=x+14

Set the two equations equal to each other:

3x=x+14

Subtract the x from the one side to get it on the other side.

2x=14

Divide by 2 on both sides

14/2=7

x=7

Plug it back in and see if it works:

y=3(7)=21

Other equation:

7+14=21

x=7

y=21

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Answer:

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Step-by-step explanation:

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3 years ago

the graph of y=e^tanx-2 crosses the x axis at one point in the interval [0,1]. What is the slope of the graph at this point? I g

Svetlanka [38]

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3 years ago

Which relation is a function?

zimovet [89]

Answer:

Step-by-step explanation:

A relation is a set of related points. A function is a set of related points where no inputs repeat.

A. {(1, 2), (2, 3), (3, 2), (2, 1)}

This repeats (2,3) and (2,1). Not a function.

B. {(4, 2), (3, 3), (2, 4), (3, 2)}

This repeats (3,3) and (3,2). Not a function.

C. {(1, −1), (−2, 2), (−1, 2), (1, −2)}

This repeats (1,-1) and (1,-2). Not a function.

D. {(1, 4), (2, 3), (3, 2), (4, 1)}

This doe NOT repeat. Function.

6 0

3 years ago

Triangle ABC has vertices A(–2, –3), B(–5, –3), and C(–4, –2). The triangle is rotated 90° counterclockwise around the origin.

Ulleksa [173]

The rule for this rotation is (x, y) converted into (-y, x). So, to find the answer you would make the y negative and switch the values in the ordered pair. A would be (3, -2), B would be (3, -5), and C would be (2, -4). So, your answer would be B. Hope this helps!

4 0

3 years ago

Read 2 more answers

Suppose that you have $6000 to invest. Which investment yields the greater return over four years: 8.25% compounded quarterly or

WARRIOR [948]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$6000\\
r=rate\to 8.25\%\to \frac{8.25}{100}\to &0.0825\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &4
\end{cases}
\\\\\\
A=6000\left(1+\frac{0.0825}{4}\right)^{4\cdot 4}\implies A=6000(1.020625)^{16}\\\\
-------------------------------\\\\$

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$6000\\
r=rate\to 8.3\%\to \frac{8.3}{100}\to &0.083\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semiannually, thus two}
\end{array}\to &2\\
t=years\to &4
\end{cases}
\\\\\\
A=6000\left(1+\frac{0.083}{2}\right)^{2\cdot 4}\implies A=6000(1.0415)^8$

compare them away.

4 0

3 years ago