Dylan invested some money in his bank . He agreed a simple interest rate of 3%per annum for a period of 2 years . at the end of 2 year period the value of his investement increased by 72 work out Dylan initial investement

1200 is Dylan's initial investment.

Step-by-step explanation:

Firstly on this type of problem we have two unknowns which are Dylans initial investment and also the future value of the investment but we are going to further give a clear analysis on this simple interest problem by letting X = initial investment then we use the formula: Fv = Pv(1+in), for which this is a simple interest formula now to further explain which values we will substitute in the above mentioned formula;

Pv is the initial investment that Dylan made which is X

Fv is the future value of the investment after two years which is X+72

i is the interest rate of the investment which is 3%

n is the number of years of the investment which is 2 years

now we substitute on the above mentioned formula,

X+72 = X(1+3%x2) now we find the value in brackets

X+72 = 1.06X now we group like terms

72 = 1.06X - X

72 = 0.06X then we divide both sides by 0.06 to get the value of X

1200 = X

therefore the initial investment is 1200. The reason behind saying the future value of the investment is X+72 is that we are told on the statement that the investment after two years grows by 72.  

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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