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3 years ago

Subtracting Fractions with Unlike Denominators

Mathematics

1 answer:

aleksley [76]3 years ago

6 0

Answer:

5/6-2/3=1/6

Step-by-step explanation:

You make the denominators the same. Like 5/6 and 2/3 you can make the fractions have the same denominator.

5/6-2/3 is the same as the equation 5/6-4/6 but simplified.

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A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest

faltersainse [42]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73$

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396$

add both amounts, and that's her investment for the 11 years.

7 0

3 years ago

I need the answers to these if you can’t read it it says “You drink 16 Fluid ounces of milk for breakfast every morning”.

Reika [66]

Answer: A. y = 16 x

B. 8 days

Step-by-step explanation:

A) Here, 16 Fluid ounces of milk is used for breakfast every morning.

In one day the consumption of milk = 16 fluid ounces

In x days the consumption of milk = 16 x fluid ounces

Thus, if y be the total milk in ounces that is used in x days,

The required function,

y = 16 x

B) In 1 day, consumption of milk = 16 ounces

⇒ $16\text{ ounces milk } = 1 \text{ day}$

⇒ $8\times 16\text{ ounces milk } = 8\times 1 \text{ day}$

⇒ $128\text{ ounces milk } = 8 \text{ day}$

Since, 128 ounces = 1 gallon

⇒ $1\text{ gallon milk } = 8 \text{ day}$

In 8 days, 1 gallon of milk will consumed.

4 0

4 years ago

A circle has the equation (x-2)^2 +y^2 =5. What are the coordinates of the circle's center?

Elina [12.6K]

The circle with center (h, k) and radius r has equation
.. (x -h)^2 +(y -k)^2 = r^2

You have
.. h = 2
.. k = 0
.. r = √5

The center is (h, k) = (2, 0).

3 0

3 years ago

A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until i

asambeis [7]

Answer:

he cable car's elevation will be 750 feet after 15 minutes

Step-by-step explanation:

Given:

elevation, e =2,000 feet

rate, I = 50 feet/minute

The equation that models the car's elevation, e, after t minutes is e = |t

The cable car's elevation will be 750 feet after how many minutes?

since, e = It

for 2,000 feet = 50 feet/minute * t

t = 2000/50 =40minutes

using the same constant rate, I for 750ft, T =

since, e = It

for 750 feet = 50 feet/minute * t

t = 750/50 =15minutes

3 0

3 years ago

What was not a major goal of the constitution?<br> Please help. Tysm!

Jet001 [13]

Yooo 1v1 and fortnite

5 0

3 years ago