Answer:
A
Step-by-step explanation:
The square root of 50 is less than the square root of 78.
if the CD matures on her 14th birthday, that means 8 years after she got it, since she got it in her 6th birthday, so
![~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &8 \end{cases} \\\\\\ A=6000\left(1+\frac{0.07}{2}\right)^{2\cdot 8}\implies A=6000(1.035)^{16}\implies A\approx 10403.92](https://tex.z-dn.net/?f=~~~~~~%20%5Ctextit%7BCompound%20Interest%20Earned%20Amount%7D%20%5C%5C%5C%5C%20A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D%20%5Cquad%20%5Cbegin%7Bcases%7D%20A%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%20P%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cdotfill%20%26%5C%246000%5C%5C%20r%3Drate%5Cto%207%5C%25%5Cto%20%5Cfrac%7B7%7D%7B100%7D%5Cdotfill%20%260.07%5C%5C%20n%3D%20%5Cbegin%7Barray%7D%7Bllll%7D%20%5Ctextit%7Btimes%20it%20compounds%20per%20year%7D%5C%5C%20%5Ctextit%7Bsemiannually%2C%20thus%20twice%7D%20%5Cend%7Barray%7D%5Cdotfill%20%262%5C%5C%20t%3Dyears%5Cdotfill%20%268%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20A%3D6000%5Cleft%281%2B%5Cfrac%7B0.07%7D%7B2%7D%5Cright%29%5E%7B2%5Ccdot%208%7D%5Cimplies%20A%3D6000%281.035%29%5E%7B16%7D%5Cimplies%20A%5Capprox%2010403.92)
Answer:
(-1 , 1)
Step-by-step explanation:
Absicca of midpoint = 4-2 / 2 = -1
Ordinate of midpoint = -4+6 / 2 = 1
The measurement of angle A = 52 ° .
In question we need to find angle A ,
To find angle A using Law of Sines :
Law of Sine : ( a / sin A ) = ( b / sin B ) = ( c / sin C ) where a , b and c are the sides opposite to angle A , B and C resp. of a triangle .
Applying Law of Sines ,
25 / sin A = 28 / sin 62
sin A = ( 25 * sin 62 ) / 28
sin A = 0.7883
Therefore , angle A = 52 ° .
Hence , the measurement of angle A = 52 ° .
To learn more on Law of Sines follow link :
brainly.com/question/2807639
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