Write the following statement as a conditional statement.
1 answer:
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The approximate difference between Calvin and Makayla's number of years of money invested is 2 years.
<h3>What is compound interest?</h3>Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
Here, is the final amount (principal plus interest amount) on the principal amount of
with the rate of
in the time period of
.
Calvin deposits $400 in a savings account and Interest rate is 5 present compounded monthly.
As the final amount Calvin has $658.80 in c years. Thus the monthly compound interest can be given as,
Now Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. The final amount she gets is $613.4 in m years. Thus,
Thus, the approximate difference in the number of years that Calvin and Makayla have their money invested is 2 years.
Learn more about the compound interest here;
The explicit formula of an arithmetic sequence:
We have:
Substitute:
Answer: an = 30n - 130
The product of the frequency and PlayCount gives the number of songs
played from the information in the histogram.
Correct responses (rounded to the nearest whole integer)
1. 2%
2. 27 PlayCount per song
3. 68%
<h3>How does one analyze an histogram?</h3>1. The given data from the histogram is presented in a tabular form as follows;
The percentages of song that where played over 100 times is given as follows;
∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651
Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36
2. Mean of a frequency distribution is given as follows;
Where;
x = The PlayCount
From MS Excel, we have;
∑f·x = 44410
Which gives;
3. Number of songs played less than 20 times = 899 + 224 = 1,123
Learn more about percentages and histograms here: