In tomato’s, red fruit (r) is dominant over yellow fruit (r). what is the probability that an offspring of plants that are heterozygous (rr) produce plants with the homozygous recessive (rr) genotype?

The probability of an offspring of plants that are heterozygous produce plants with homozygous recessive genotype in ratio of :

RR           :     Rr        :       rr

(red)      : hybrid      : (yellow fruit )

1             :  2            : 1  

Explanation:

Parental generation : RR              rr

                             (red fruit )           (yellow fruit )

Gamete formation : R,R                r,r

First filial generation : Rr (All are red because red is dominant )

Now let us cross the parents that is heterozygous Rr with homozygous rr :

Parental generation : Rr             Rr

Gamete formation : R,r               R,r

The second filial generation generation obtained :

                                       R        r      

                          R         RR      Rr  

                          r          rR      rr  

The genotypic   ratio :

RR           :     Rr        :       rr

(red)                          (yellow fruit )

1             :  2            : 1  

Thus, the probability of an offspring of plants that are heterozygous produce plants with homozygous recessive genotype in ratio given above

9.9 years

a = p(1 + rt) . . account balance after time t at rate r starting with principal p

3000 = 2500(1 + 0.0202t) . . filling in the given numbers

1.2 = 1 + 0.0202t . . divide by 2500

0.2 = 0.0202t . . . subtract 1

0.2/0.0202 = t ≈ 9.901

it will take about 9.9 years for the account balance to reach $3000.