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agasfer [191]
3 years ago
8

Need exercise problems with parentheses and variables

Mathematics
1 answer:
topjm [15]3 years ago
7 0

There are many good exercise problems on

https://www.khanacademy.org/

This website also includes exercise problems for just about any subject and/or grade level.

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You invest 4,100 in an account that pays an interest rate of 7.25% ,compounded continuously. Calculate the balance of your accou
levacccp [35]
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$4100\\
r=rate\to 7.25\%\to \frac{7.25}{100}\to &0.0725\\
t=years\to &8
\end{cases}
\\\\\\
A=4100e^{0.0725\cdot 8}\implies A=4100e^{0.58}\implies A\approx 7322.757566075
8 0
3 years ago
A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's
Dominik [7]

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet

3 0
3 years ago
The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2
strojnjashka [21]

Answer:

False

Step-by-step explanation:

9x^2-18x+36\\\\=(3x)^2- 3x \cdot 6+6^2\\\\\text{It is not in the form of}~ A^2-2AB+B^2

8 0
2 years ago
What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.
NeX [460]

Step-by-step explanation:

theta = 180 - 123 = 57 degree

arc length = 2 * pi * R * ( theta / 360)

= 2 * pi * R * ( 57 / 360)

= 0.994R cm

8 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-1, 4) and has a<br> slope of -5?
AfilCa [17]

Answer:

Step-by-step explanation:

y - 4 = -5(x + 1)

y - 4 = -5x - 5

y = -5x - 1

4 0
2 years ago
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