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Ghella [55]
2 years ago
13

Evaluate the expression 4^3+(96/8)*5)-48 =

Mathematics
1 answer:
Oksana_A [137]2 years ago
5 0

Answer:

76

Step-by-step explanation:

64 + (12 × 5) - 48

64 + 60 - 48

76

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If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?
melamori03 [73]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}

\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}
6 0
3 years ago
What is (3/4)^-2 and how do I express it as a positive?
dedylja [7]
16/9 because (3/4)^-2 simplified is 16/9  

7 0
3 years ago
An amusement park charges $9.00 for admission $4.00 per ride. Write an equation that gives the cost in dollars as a function of
Gnoma [55]

T = total cost

X= number of rides

T=4.00x+9.00

3 0
3 years ago
SOVing Problems With Right Triangles: Mastery Test
Serhud [2]

Answer:

13.86 ft

Step-by-step explanation:

This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.

The height of the pole is the side opposite to the angle 60°.

The trigonometric function states that for a right angled triangle:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent

To find the height of the flagpole, we use:

sin(60) = height / 16

height = 16 * sin(60)

height = 13.86 ft

The person with the incorrect reasoning for the height of the flagpole is  Charlie when he should have utilized the  sin function. Because he incorrectly selected the  function.

7 0
3 years ago
There are 42 different types of ice cream at the grocery store the probability that ice cream selected at random has chocolate i
Alex787 [66]

Answer:

Step-by-step explanation:

42-42(2/7)

42-12

30

There are 30 options with no chocolate.

3 0
2 years ago
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