Sam plans to double his savings each day. He starts

Mathematics

2 answers:

poizon [28]3 years ago

8 0

Answer:

$32212254.72

Step-by-step explanation:

Initial value = $0.03
Increase rate = 2 times each day
Time = 30 days

Saving amount after 30 days:

$0.03*2^30 = $32212254.72

aalyn [17]3 years ago

3 0

Sam's stating value=$0.03

Double saving in =2 times each day.

Total day=30

so,

According to the question, 

$\bold{ 0.03×2^{30} }$

$\bold{ 0.03×1073741824 }$

$\bold{32212254.72 }$

so,

32212254.72$ will have be saved after 30 days.

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37. an = -2 + (n-1)(-5) an = -2 + (n-1)(5) an = 2

Marina86 [1]

From the 3rd term to the 8th term, we'd need to use the "common difference" or "d", 5 times, namely add it that many times, to get the 8th term, thus

$\bf \begin{array}{ll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_3&-12\\
a_4&-12+d\\
a_5&-12+d+d\\
a_6&-12+d+d+d\\
a_7&-12+d+d+d+d\\
a_8&-12+d+d+d+d+d\\
&-12+5d\\
&-37
\end{array}\implies -12+5d=-37
\\\\\\
5d=-25\implies d=\cfrac{-25}{5}\implies d=-5$

we know the 3rd term is -12, so the first one has to be -12+5+5, undoing the -5's, so the first term is -2.

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=-2\\
d=-5
\end{cases}
\\\\\\
a_n=-2+(n-1)(-5)$

4 0

4 years ago

Gary buys a 31/2 pound bag of cat food every 3 weeks.Gary feeds his cat the same amount of food each day.Write a numeric express

Ilya [14]

Answer:

$52\times \frac{7}{6}$