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ZanzabumX [31]
3 years ago
11

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a

special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below. Use the given expression to complete the statements below. The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of .
Mathematics
1 answer:
xenn [34]3 years ago
4 0

<u>Complete Question</u>

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below.

<u />250(1+\frac{0.018}{2})^{2t}<u />

Use the given expression to complete the statements below.

The expression is the___(Product , Sum  , Quotient , Square) of the amount initially deposited and the____(Quotient , Product , Difference , Sum)  of one and the rate of increase raised to the number of ___.(Compounding Periods , Years, Months)

Answer:

  • Product
  • Sum
  • Compounding Periods

Step-by-step explanation:

For an amount invested at compound interest at a rate of r% with period for t years,

Amount =P(1+\frac{r}{k})^{tk}

Comparing with the given expression: 250(1+\frac{0.018}{2})^{2t}<u />

Period =2

Rate =0.018

Total Compounding Period =2 X t, where t=Number of years

Therefore:

The expression is the Product of the amount initially deposited and the Sum of one and the rate of increase raised to the number of Compounding Periods .

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3 years ago
How do I solve this?? I'm lost
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2 years ago
The dot plot displays the number of marshmallows added to hot cocoa by several kids. What is the MAD of the data represented in
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  Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.

MAD of the data represented by dot plot in the picture will be Option A.

Elements in the given dot plot are,

3, 4, 5, 5, 5, 5, 5, 5, 6, 7

Steps to be followed for the mean absolute deviation of this data set.

  • Find the mean of the data set
  • Find the absolute distance of each element from the mean
  • Find the average distance of all the elements which will be MAD of the data set.

Step - 1 :

Mean of the data set = \frac{\text{Total of the data}}{\text{Total number of elements}}

                                   = \frac{3+4+5+5+5+5+5+5+6+7}{10}

                                   = \frac{50}{10}

                                   =5 (As shown on the dot plot)

Step - 2 :

Absolute distance of each element from the mean of the data set,

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4 - 5 = |-1| = 1

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

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Step - 3 :

Average of the absolute distance = \frac{2+1+0+0+0+0+0+0+1+2}{10}

                                                        = \frac{6}{10}

                                                        = 0.6

          Therefore, Option A will be the correct option.

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Isn’t that suppose to be with graphs?
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