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madam [21]
3 years ago
9

Can someone help with this problem on literal equations to get variable A by itself? Will give lots of points

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

Step-by-step explanation:

Part A

xf = xo + vo* t + 1/2 a*t^2                    Subtract xo

xf - xo = 0*t + 1/2 a*t^2                        multiply by 2

2(xf - xo) = at^2                                    divide by t^2

2(xf - xo ) / t^2 = a

Part B

Givens

xo =0

vo = 0

a = 10  m/s^2

xf = 120 m

Solution

xf = xo + vo* t + 1/2 a*t^2              Substitute the givens

120 = 0 + 0 + 1/2 * 10 * t^2            Multiply by 2

120*2 = 10* t^2                  

240 = 10*t^2                                  Divide by 10

240/10  = t^2

24 = t^2                                          take the square root of both sides.

√24 = √t^2

t = √24

t = √(2 * 2 * 2 * 3)

t = 2√6

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GalinKa [24]

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating compound amount

A=P(1+\frac{r}{n})^{nt}

where

A = final compounded amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

STEP 2: Write the given data

Semiannually means that n will be 2

P=14,800,r=\frac{6}{100}=0.06,n=2,t=4

STEP 3: Calculate the compound amount

\begin{gathered} A=14800(1+\frac{0.06}{2})^{2\times4}\Rightarrow A=14800(1+0.03)^{2\times4} \\ A=14800(1.03)^8 \\ A=14800\times1.266770081 \\ A=\text{\$}18,748.1972 \end{gathered}

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