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olga55 [171]
3 years ago
10

Patricia and Joe Payne are divorced. The divorce settlement stipulated that Joe pay $485 a month for their daughter Suzanne unti

l she turns 18 in 4 years. Interest is 6% a year. How much must Joe set aside today to meet the settlement?
Mathematics
1 answer:
zhuklara [117]3 years ago
3 0
\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array} &
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &
\begin{array}{llll}
485\cdot 12\\
\underline{5280}
\end{array}\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{a year, thus once}
\end{array}\to &1\\

t=years\to &4
\end{cases}
\\\\\\


\bf A=5280\left[ \cfrac{\left( 1+\frac{0.06}{1} \right)^{1\cdot  4}-1}{\frac{0.06}{1}} \right]

Joe is making $485 payments monthly, but the amount gets interest on a yearly basis, not monthly, so the amount that yields interest is 485*12

also, keep in mind, we're assuming is compound interest, as opposed to simple interest
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Solve with the law of sine
Zinaida [17]

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No this cannot make a second triangle

2) Triangle ABC, where B = 62°, a = 11.52 m, c = 19.34 m

No this cannot make a second triangle

3) Both of the triangles cannot make a second triangle

<h3>How does law of sine work</h3>

The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c."

The formula for law of sine is written as

Sine A  a = Sine B/ b = Sine C / c

These law helps in determining the given angles and sides

For the situation given; both cannot be used to make a second triangle

Learn more about conditions Infinite number of triangles at:

brainly.com/question/29637739

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5 0
1 year ago
Well is their an answer? I thought it was 35% but that’s not an option
kati45 [8]

Answer:

70%

Step-by-step explanation:

60% chance of math homework, thus 40% of no homework

70% chance of english homework, thus 30% of no homework

Chance that there is no homework in math OR english

= 40% + 30% = 70%

8 0
3 years ago
I need help on this one and the one at the bottom
KiRa [710]
The last awnser is 15x + 2 and the first one is explained below:
 65 X 1.5 = 97.5
97.5 + 95 = 192.5 
     192.5 is awnser 
If you want me to explain in more detail comment on my user i will check my notifications and help you out !!! :D 
PEACE YALL

3 0
3 years ago
WILL GIVE 100 POINTS PLS HELP RN EVEN IF ITS JUST A FEW
Sophie [7]

1. 20,000×10%=2,000

2. 20,000×14%=2,800

3. 20,000×5%=1,000

4. Business Marketing

5. 20,000×30%=6,000

5 0
2 years ago
2 questions here:
solmaris [256]
<span>1. Make y the subject 
a) 4y=12x+18
y = 3x + 4.5

b) 2x=7-3y
3y = -2x + 7
y = -2/3x + 7/3

2.
a) what is the equation of the line which passes through both (-2,-4) and (6,16)

slope = (16 + 4)/(6 +2) = 20/8 = 2.5
y = mx + b
-4 =2.5(-2) +b
-4 = -5 +b
b = 1

equation
y = 2.5x + 1


b) what is the equation of the line perpendicular to y= 1/2X + 7 passing through point (3,9)

</span>y= 1/2X + 7
slope = 1/2

slope of line perpendicular = -2

passing through point (3,9)

y = mx + b
9 = -2 (3) + b
b = 15

equation

y = -2x + 15

6 0
3 years ago
Read 2 more answers
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