Scientist Gregor Mendel (1822-1884) is often called the “father of modem genetics� and is famous for his work involving the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are Y for yellow and y for green. Each plant has two genes, one from the female (seed) and one from the male (pollen). The Y gene is dominant, and therefore a plant with genes YY will have yellow peas, a plant with genes Yy or yY will have yellow peas, and a plant with genes yy will have green peas. If a plant with two yellow genes YY is crossed with a plant with two green genes yy , the result is four hybrid offspring with genotypes Yy . The offspring will be yellow, but will carry the recessive green gene. Suppose that one parent pea plant has genotype YY and the other has genotype Yy . a. Make a chart showing the possible genotypes of the offspring. b. What is the probability that a given offspring will have green peas? c. What is the probability that a given offspring will have yellow peas?
Scientist Gregor Mendel (1822-1884) is often called the “father of modem genetics� and is famous for his work involving the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are Y for yellow and y for green. Each plant has two genes, one from the female (seed) and one from the male (pollen). The Y gene is dominant, and therefore a plant with genes YY will have yellow peas, a plant with genes Yy or yY will have yellow peas, and a plant with genes yy will have green peas. If a plant with two yellow genes YY is crossed with a plant with two green genes yy , the result is four hybrid offspring with genotypes Yy . The offspring will be yellow, but will carry the recessive green gene. Suppose that one parent pea plant has genotype YY and the other has genotype Yy . a. Make a chart showing the possible genotypes of the offspring. b. What is the probability that a given offspring will have green peas? c. What is the probability that a given offspring will have yellow peas?
Solution Summary: The author explains that if a plant with two yellow genes (YY) is crossed with another plant, the outcome is four hybrid offspring with genotypes Yy.
Scientist Gregor Mendel (1822-1884) is often called the “father of modem genetics� and is famous for his work involving the inheritance of certain traits in pea plants. Suppose that the genes controlling the color of peas are
Y
for yellow and
y
for green. Each plant has two genes, one from the female (seed) and one from the male (pollen). The
Y
gene is dominant, and therefore a plant with genes
YY
will have yellow peas, a plant with genes
Yy
or
yY
will have yellow peas, and a plant with genes
yy
will have green peas.
If a plant with two yellow genes
YY
is crossed with a plant with two green genes
yy
, the result is four hybrid offspring with genotypes
Yy
. The offspring will be yellow, but will carry the recessive green gene.
Suppose that one parent pea plant has genotype
YY
and the other has genotype
Yy
.
a. Make a chart showing the possible genotypes of the offspring.
b. What is the probability that a given offspring will have green peas?
c. What is the probability that a given offspring will have yellow peas?
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
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