Two genes on chromosome 7 of corn are identified by the recessive alleles gl (glossy), which determines glossy leaves, and ra (ramosa), which determines branching of ears. When a plant heterozygous for each of these alleles was crossed with a homozygous recessive plant, the progeny consisted of the following genotypes:
Gl ra 88 gl Ra 103
Gl Ra 6 gl ra 3
a. What is the frequency of recombination between these genes?

recombination frequency = 4.5% or 4.5mu

Explanation:

to calculate the frequency of recombination between these genes

we have,

recombination frequency = [ number of recombinnants/total number of offsprings) x 100

total offspring  = 88 + 103 + 6 + 3

total offspring =  200

Gl ra 88 parent

gl Ra 103parent

Gl Ra 6 recombinant

gl ra 3 recombinant

recombination frequency = {6+3/88 + 103 + 6 + 3} x 100

recombination frequency = 9/200 x1oo

recombination frequency = 0.045 x 100

recombination frequency = 4.5% or 4.5mu

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.