1900 is deposited into a savings account. Interest is compounded annually. After 1 year, the value of the account is 1957. After 2 years, the value of the account is 2015.71. This scenario can be represented by an exponential function of the form f(x)=1900(b)^2 , where is the amount in the savings account, and x is time in years. What is the value of b?

1.03

Step-by-step explanation:

2015.71 = 1900(b)^2

44.896659 = 43.588989 * b

44.896659/ 43.588989 = b

1.0300000 = b

Recall ; for an exponential distribution :

b In the equation = 1 + r ; where, r = rate

b = 1 + r

1.0300000 = 1 + r

r = 1.0300000 - 1

r = 0.03

Hence, the value of b in the equation is 1.03

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.