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Levart [38]
3 years ago
11

Show work please. thank you

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0
Problem 17, part A

i = simple interest = 900 dolars
p = principle = 1500 dollars
r = interest rate = 0.03 (decimal form of 3%)
t = time in years = unknown (leave it as t for now)

Plug in those values mentioned above and solve for t.

Simple interest formula
i = p*r*t
900 = 1500*0.03*t
900 = 45*t
900/45 = 45*t/45
20 = t
t = 20

Answer: 20 years

=============================================

Problem 17, part B

p = 1500
r = 0.03
t = 5 years

A = p+p*r*t
A = 1500+1500*0.03*5
A = 1500+225
A = 1725

Answer: 1725 dollars

=============================================

Problem 17, part C

Factor out the GCF p, then divide both sides by 1+rt

A = p+p*r*t
A = p*1+p*r*t
A = p*(1+rt)
A/(1+rt) = p*(1+rt)/(1+rt)
A/(1+rt) = p
p = A/(1+rt)

Answer: p = A/(1+rt)

The right side is the fraction of A all over the quantity (1+rt) which may be more readable if written like so 
p = \frac{A}{1+rt}
If you're going to write it in the way p = A/(1+rt) then don't forget to use parenthesis. 

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\huge\textbf{Hey there!}

\huge\boxed{\textbf{5m = 10}}\\\\\large\textbf{DIVIDE 5 to BOTH SIDES}\\\\\huge\boxed{\mathbf{\dfrac{5m}{5} = \dfrac{10}{5}}}\\\\\large\textbf{CANCEL out: }\bold{\dfrac{5}{5}}\large\textbf{ because it gives you 1}\\\large\textbf{KEEP: }\rm{\bf \dfrac{10}{5}}\large\textbf{ because it gives you the m-value}\\\large\textbf{NEW EQUATION: m = }\bf \rm{\dfrac{10}{5}}\\\\\large\textbf{SIMPLIFY IT!}\\\huge\boxed{\mathbf{m = 2}}\\\large\textbf{Therefore, your answer is: \huge\boxed{\mathsf{m = 2}}}\huge\checkmark

\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}

<h2>~\mathfrak{Amphitrite1040:)}</h2>
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