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Alexeev081 [22]
3 years ago
9

Suppose you deposited $10 into your savings account each month, as indicated in the table. Your account pays 4%, compounded mont

hly. How much will you have in your account at the end of 15 years? a. $2,908 c. $3,668 b. $2,461 d. $1,800 Please select the best answer from the choices provided
Mathematics
1 answer:
Orlov [11]3 years ago
4 0
I think its D. $1,800 because 10.4 multiplied by twelve is 124.8 and if you multiply that by 15 you get $1.872. 
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3 years ago
Solve the equation on the interval [0,2π]
WARRIOR [948]
\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
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\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
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\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
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~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ -  b \pm \sqrt {  b^2 -4 a c}}{2 a}
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\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}

\bf \measuredangle x=
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sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
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\approx~0.252680~radians\\
\qquad or\\
\approx~14.47751~de grees\\
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3 0
3 years ago
What is the area of the trapezoid
kodGreya [7K]
The answer is c
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4 0
4 years ago
Read 2 more answers
Which function below is the inverse of f(x)= 3x+5/7
Ipatiy [6.2K]
Inverse
replace f(x) wih y
solve for x
replace x with f⁻¹(x) and y with x

so

f(x)=3x+5/7
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solve for x
minnus 5/7 both sides
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divide both sides by 3
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5 0
3 years ago
Read 2 more answers
There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve co
artcher [175]

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Step-by-step explanation:

Let x be the number lower reserved tickets

and

y be the number of upper reserved tickets

Then according to given statements

x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2

From equation 1:

x = 740-y

Putting in equation 2

9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50

Subtracting 7030 from both sides

7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5

Dividing both sides by -1.5

\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365

Putting y = 365 in equation 1

x+365 = 740\\x = 740 - 365\\x = 375

Hence,

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

3 0
3 years ago
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