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nathan has 80 stamps in his collection. he adds 1 stamp to it today. each day he plans to add twice the number of stamps as the previous day. if he keeps adding stamps at this rate for n days, which recursive function represents the number of stamps he has on any day in the future?
the recursive function is , starting at .

with

Step-by-step explanation:

We can study what happens day by day starting with day one (1) to understand how the recursive relation can be constructed:

Day #     Number of stamps     What is added relative to previous day

1               d1 = 80 + 1 = 81

2              d2 = 81 + 2 = 83            d2 = d1 + 2

3              d3 = 83 + 4 = 87           d3 = d2 +

4              d4 = 87 + 8 = 95           d4 = d3 +

5              d5 = 95 + 16 = 111          d5 = d4 +

6              d6 = 111 + 32 = 143        d6 = d5 +

(n+1)                                               d(n+1) = dn +

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: