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3 years ago

5

a square has it dimensions changed prportionally by a scale factor of 3. If the new area is 576 in^2, what was the area of the o

riginal square.

1 answer:

kodGreya [7K]3 years ago

5 0

Answer:

According to my math, I think it's 64, but I could be wrong. I hope this helps though!

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What is the remainder when 6x+12 is divided by 2x-8.

bagirrra123 [75]

Answer:

4(3x-2)

Step-by-step explanation

6x+12/2x-8

6x+6x-8

12x-8

4(3x-2)

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3 years ago

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Make x the subject of the formula x/a -b=c

horrorfan [7]

Answer:

x ÷ a - b = c

x a-b both side

x = c(a-b)

or

x = ca - bc

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2 years ago

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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

Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of

Firdavs [7]

Answer:

$g (15)$ represents the radius (in cm) of a circle whose circumference is 15 cm

if $g (a) = 15$ , then a represents the circumference (in cm) of a circle whose radius is 15cm

Step-by-step explanation:

In a circle the following relationship can be posed:

$C = 2 \pi r$

Let g be a function that determines the radius of the circle from the value of its circumference, so, you have:

$g (C) =\frac{C}{2\pi}$

Thus, $g (15)$ represents the radius (in cm) of a circle whose circumference is 15 cm. You have to $g (15) =\frac{15}{2\pi}$ .

On the other hand, if $g (a) = 15$ , then $a$ represents the circumference (in cm) of a circle whose radius is 15cm. You have to $a=2 \pi(15) = 30 \pi$

4 0

3 years ago

Epic math question that i cant solve

zvonat [6]

The area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle

area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x

so the area of the shaded region is 60y-15x

the GCF is 15, so the factored form is: 15(4y-x)

8 0

3 years ago