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3 years ago

As low tide came in, the ocean dropped by a rate of 12 inches every 3 minutes. Write a rational # describing this rate.

Mathematics

1 answer:

RSB [31]3 years ago

8 0

You can write every speed as the ratio between the space and time, so in this case you have

$\dfrac{12\text{ inches}}{3\text{ minutes}} = 4\ \dfrac{\text{inches}}{\text{minute}}$

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If Ms. P wants to withdraw $900 from an account earning 4% average annual interest rate at the start of each year for 7 years, h

Ksju [112]

Answer:

Amount he must have in his account today is $5,617.92

Step-by-step explanation:

Data provided in the question:

Regular withdraw amount = $900

Average annual interest rate, i = 4% = 0.04

Time, n = 7 years

Now,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

here,

C = Regular withdraw amount

Thus,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

Present Value = $900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)$

Present Value = $936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]$

Present Value = $936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]$

Present Value = 936 × 6.00205

Present Value = $5,617.92

Hence,

Amount he must have in his account today is $5,617.92

7 0

3 years ago

WOULD A KIND SOUL PLEASE HELP ME OUT HERE???!!!!!!!!!!!

astraxan [27]

Answer:

r= -1,-2

t= -7,-4

s= -2,-8

Step-by-step explanation:

8 0

3 years ago

What is addition and subtraction

choli [55]

$\huge\text{Hey there!}$

$\huge\textsf{What is addition \& subtraction?}$

$\huge\textbf{What is addition?}$

$\bullet\large\textbf{ Well, \underline{addition} simply means when you're ADDING}\\\large\textbf{2 or more numbers from each other to get the result of}\\\large\textbf{a number.}$

$\huge\textbf{Random notes}$

$\star\large\textbf{ Usually, you start working with addition when you're in}\\\large\textbf{pre-kindergarten (pre-k also known as head-start)}\\\\\star\large\textbf{ When, you're adding you are going upward.}\\\\\star\large\textbf{ Addition sometimes come after you learn how to count}\\\large\textbf{the basic numbers and so forth because adding never}\\\large\textbf{ends if you really think about.}$

$\huge\textbf{Example:}$

$\heartsuit\large\textbf{ 2 \boxed{\bf +} 5 = 7}\\\\\\\heartsuit\large\textbf{ You got the result of 7 because you started at 2 \& went}\\\larg\textbf{up 5 spaces to your right on your number and you landed}\\\large\textbf{on 7.}$

$\huge\textbf{What is subtraction?}$

$\bullet\large\textbf{ Well, subtraction simply means you're taking away. Often}\\\large\textbf{people call it take aways.}$

$\huge\textbf{Random notes:}$

$\star\large\textbf{ Usually, you start working with subtraction when you're}\\\large\textbf{in pre-kindergarten (pre-k also known as headstart)}\\\\\star\large\textbf{When you're subtracting you are doing downward.}\\\\\star\large\textbf{You focus more on subtraction when you're counting}\\\large\textbf{backwards.}$

$\huge\textbf{Example:}$

$\heartsuit\large\textbf{ 7 \boxed{\bf -} 5 = 2 }\\\\\\\heartsuit\large\textbf{ 7 \boxed{\bf -} 2 = 5}\\\\\\\heartsuit\large\textbf{ For equation \#1. you begin at 7 and go BACK 5 spaces}\\\large\textbf{and you should have landed on 2.}\\\\\\\heartsuit\large\textbf{ For equation \#2. you begin at 7 \& go BACK 2 spaces}\\\large\textbf{and you should have landed on 5.}$

$\huge\textsf{KEEP IN MIND:}$

$\circ\large\textsf{ Addition OPPOSITE is subtraction \& subtraction OPPOSITE is}\\\large\textsf{addition.}$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitirite1040:)}$

4 0

2 years ago

Read 2 more answers

Trigonometric Identities

bogdanovich [222]

$\bf \textit{symmetry identities}\\\\
sin(-\theta )\implies -sin(\theta )\qquad \qquad cos(-\theta )\implies cos(\theta )
\\\\\\also~recall\\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\\\
sin^2(\theta)=1-cos^2(\theta)
\\\\
-------------------------------\\\\\
[1-cos(-t)][1+cos(t)]\implies [1-cos(t)][1+cos(t)]$

$\bf 1^2-cos^2(t)\implies 1-cos^2(t)\implies sin^2(t)\\\\
-------------------------------\\\\\
%Simplify each expression. (1−cos⁡(−t))(1+cos⁡(t)) = (1+sin(t))(1+sin(-t))= csc⁡(t)tan⁡(t)+sec⁡(−t) =
[1+sin(t)][1+sin(-t)]\implies [1+sin(t)][1-sin(t)]
\\\\\\
1^2-sin^2(t)\implies 1-sin^2(t)\implies cos^2(t)\\\\
-------------------------------\\\\$

$\bf csc(t)tan(t)+sec(-t)\implies \cfrac{1}{\underline{sin(t)}}\cdot \cfrac{\underline{sin(t)}}{cos(t)}+\cfrac{1}{cos(-t)}
\\\\\\
\cfrac{1}{cos(t)}+\cfrac{1}{cos(-t)}\implies \cfrac{1}{cos(t)}+\cfrac{1}{cos(t)}\implies \cfrac{2}{cos(t)}
\\\\\\
2\cdot \cfrac{1}{cos(t)}\implies 2sec(t)$

3 0

3 years ago

Slope=8 y-intercept=-3 <br>write in slope-intercept

maxonik [38]

Y= mx+b (slope intercept form)
m= the slope (in this case 8)
b= the y-intercept (-3)
the answer: y=8x-3

7 0

3 years ago