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inessss [21]
4 years ago
11

If a person puts 1 cent in a piggy bank on the first day, 2 cents on the second day, 3 cents on the third day, and so forth, how

much money will be in the bank after 40 days? $8.20 $16.40 $0.40 $4.10
Mathematics
1 answer:
cluponka [151]4 years ago
4 0
This is an arithmetic sequence with the common difference being 1

and if u have 1 cent on day 1 and 2 cents on day 2....then on day 40, u would have 40 cents....but we need the sum of all the days..

the sum of an arithmetic sequence can be found using the formula :
sn = n(a1 + an) / 2
n = number of terms = 40
a1 = first term = 1
an = last term = 40

now we sub
s(40) = 40(1 + 40) / 2
s(40) = 40(41)/2
s(40) = 1640/2
s(40) = 820.....820 cents = $ 8.20 <== the sum
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Hey there! I'm happy to help!

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15. Interpret

I'll try to explain this quick so you can sleep. Sleep is very important for brain activity and is very important to help us learn more efficiently and to help us feel more energized and healthy (and sleep is just amazing in general) :)

All of the numbers below 1000 are going to give us negative number answers. For all of them, we just subtract 1000 from it to see how much over or below we are.

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March: -5

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May: -25

June: -20

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16. Analyze

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3 0
3 years ago
If paul puts 300 dollars in a saving account that earns 3% interest how much interest will he earn after 2 years?​
Evgesh-ka [11]

Answer:

<h2>\boxed{18 \: dollars}</h2>

Step-by-step explanation:

Principal ( P ) = $ 300

Rate ( R ) = 3%

Time ( T ) = 2 years

Now, let's find the simple Interest:

I = \mathsf {\frac{PTR}{100} }

\mathsf{ =  \frac{300 \times 2 \times 3}{100} }

\mathsf{ =  \frac{1800}{100} }

\mathsf{ = 18}

Extra information:

Simple Interest

In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.

Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.

\mathsf{ \: simple \: interest \:  =  \frac{PTR}{100} }

On simplifying

\mathsf{p =  \frac{I \times 100}{T \times R} }

\mathsf{t =  \frac{I \times 100}{P \times R} }

\mathsf{r =  \frac{I \times 100}{P \times T}}

And from the definition,

Amount ( A ) = Principal ( P ) + Interest ( I )

Principal ( P ) = Amount ( A ) - Interest ( I )

Interest ( I ) = Amount ( A ) - Principal ( P )

Hope I helped!

Best regards!

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