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WINSTONCH [101]
3 years ago
8

Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 years

Mathematics
1 answer:
Helen [10]3 years ago
3 0

\bf ~~~~~~ \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 &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{4}\right)^{4\cdot 4}\implies A=2500(1.01)^{16}\implies A\approx 2931.4466123

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A line has slope 2/3 and y intercept -2. Which answer is the equation of the line?
Bingel [31]

Answer:

y=2/3x-2

Step-by-step explanation:

All of the given options are in slope intercept form.

Slope intercept form is y=mx+b

This is where m is the slope fo the line and b is the y intercept

That said, we can simply plug the given values into the form.

y=(2/3)x+(-2)

Simplify

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6 0
3 years ago
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The 100th term in 8, 13, 18,23, 28,...
Lunna [17]

Answer:

The 100th term of the sequence is 503.

Step-by-step explanation:

Given : Sequence 8, 13, 18,23, 28,...

To find : The 100th term in the sequence ?

Solution :

Sequence 8, 13, 18,23, 28,... is the arithmetic sequence

Where, First term is a=8

The common difference is d=13-8=5

The nth term of the sequence is given by a_n=a+(n-1)d

The 100th term is given by,

a_{100}=8+(100-1)5

a_{100}=8+(99)5

a_{100}=8+495

a_{100}=503

The 100th term of the sequence is 503.

3 0
3 years ago
Re-posting this because nobody noticed. Please somebody help me with this. Its my first time on brainly.
Svetlanka [38]

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1. Should stay the same since you can't combine any further

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8 0
3 years ago
Please help me please help me
Gelneren [198K]
(a)
the list would be
-20, -12, -8, -1, 1, 5, 10
the other intergers would have to be greater than 1 in order to be on the correct side and cause 1 to be in the middle. They could be anything but 5 and 10 because these were already chosen.

(b)
the list would be like before
-3 was not included so one of the chosen would be -3 and the other would have to be less than -3 but not -8, -12, or -20 beacuse those were already chosen
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3 years ago
at a golf course, a worker placed 216 golf balls equally into 9 buckets. what is the ratio of golf balls to buckets?
ankoles [38]
The ratio is 216:9, which can be simplified to 72:3, which can be simplified to 34:1. This can also be written as a fraction (34/1). It means there are 34 golf balls for every one bucket.
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3 years ago
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