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zvonat [6]
3 years ago
5

Dylan invested $600 in a savings account at 1.6% annual interest rate. he made no deposits or withdrawals on the account for two

years. The interest was compounded annually. find to the nearest cent the balance in the account after two years.
The formula is A=p(1+r)^t
Mathematics
1 answer:
Arada [10]3 years ago
4 0
Ok so formula is <span>A=p(1+r)^t
</span>A=600 (1+.016)squared
A=$619.35

Hope that helped :)

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A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 What is the v
kifflom [539]
The variance is the total of the squared distances of the given data from the mean. 

This can be calculated through the equation,
        
                            σ² = summation of X² / N  - μ²

where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.

   summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
                          N = 5
                                        μ = (100 + 100 + 120 + 120 + 180) / 5
                                         μ = 124

Substituting these values to the equation for variance,
                                 
                              σ² = (81200/5) - 124² = 864

Thus, the variance is equal to 864. 
4 0
3 years ago
Read 2 more answers
Is sin theta=5/6, what are the values of cos theta and tan theta?
mina [271]

let's bear in mind that sin(θ) in this case is positive, that happens only in the I and II Quadrants, where the cosine/adjacent are positive and negative respectively.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{6}}\qquad \impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{6^2-5^2}=a\implies \pm\sqrt{36-25}\implies \pm \sqrt{11}=a \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{\pm\sqrt{11}}}{\stackrel{hypotenuse}{6}} \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{adjacent}{\pm\sqrt{11}}}\implies \stackrel{\textit{and rationalizing the denominator}~\hfill }{tan(\theta )=\pm\cfrac{5}{\sqrt{11}}\cdot \cfrac{\sqrt{11}}{\sqrt{11}}\implies tan(\theta )=\pm\cfrac{5\sqrt{11}}{11}}

5 0
3 years ago
Which equation can be used to find the surface area of the cylinder?
UNO [17]

Answer:

Step-by-step explanation:

SA= 2*r*r*pi + 2*pi*r*h

   = 2*6*6*3.14 + 2*3.14*6*8

4 0
3 years ago
∆ABC is rotated 100° counterclockwise about point P to create ∆A'B'C'. what is angle m C'A'B'?
dolphi86 [110]
The answer would be c, 70

7 0
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Answer:

I don't know 1

2. 3/4

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