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2 years ago

Which explicit formula can be used to find the accounts balance at the beginning of year 3?

Mathematics

1 answer:

balandron [24]2 years ago

7 0

The formula for the amount A in an account with principal P and interest rate r compounded annually for t years is

... A(t) = P(1+r)^t

You want to find A when P=400, r=0.05, and t=3. Substituting those values gives you

... A(3) = 400·(1 +0.05)³

The appropriate choice is

... A. A(3) = 400·(1 +0.05)³

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The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

$\theta=tan^{-1}(\frac{5}{3})$

$\theta=59.03^{\circ \:}$

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2 years ago

What's the answer????

Svetllana [295]

I would try b the rise\run is 2\2 so give it a go

8 0

2 years ago

Tennessee Whisky contains 40% alcohol; how many ml of whiskey can be produced with 80ml of alcohol?

anygoal [31]

well we know that we have 80mL and we also know that those 80mL will represent the "solute" or the 40% of the Tennessee whiskey total which we can say is 100%, so if 80 is the 40%, how much will it be for the 100% in mL?

$\begin{array}{ccll}mL&\%\\\cline{1-2}80&40\\x&100\end{array}\implies \cfrac{80}{x}=\cfrac{40}{100}\implies \cfrac{80}{x}=\cfrac{2}{5}\implies 400=2x\\\\\\ \cfrac{400}{2}=x\implies \underset{mL}{200}=x$

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2 years ago

Help quick! Don’t have that much left

Natasha_Volkova [10]

If you are comparing the triangles the answer is D

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2 years ago

Read 2 more answers

Please can you answer question b

alexira [117]

198 + (199*3) + (200*2) +(201*5) + (202*2) = 2604

frequency = 1 + 3 +2 + 5 + 2 = 13

201 = (2604 + x )/14
multiply both sides by 14
x = 201*14 = 2604 +x

x = 2814 = 2604 +x

subtract 2604 from both sides:

x = 2814 - 2604
x = 210 cm

height of new player = 210 cm

3 0

2 years ago