Is (-8,1), (-5,1) endpoints of a vertical line, a horizontal line, or neither?
1 answer:
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a. The expression y=5x represent the number of small marbles she has.
b. The expression z=3x+2 represents the number of large marbles she has.
c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Step-by-step explanation:
a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.
Medium marbles = x
Let,
Small marbles = y
According to given statement;
She has five times as many small marbles as medium marbles.
y = 5x Eqn 1
The expression y=5x represent the number of small marbles she has.
b. Write an algebraic expression to represent the number of large marbles she has.
Let,
Large marbles = z
The number of large marbles is two more than three times the number of medium marbles.
z = 3x+2 Eqn 2
The expression z=3x+2 represents the number of large marbles she has.
c. If Amy has a total of 560 marbles, how many of each size does she have?
x+y+z= 560 Eqn 3
Putting value of y and z from Eqn 1 and 2 in Eqn 3
Dividing both sides by 9
Putting x=62 in Eqn 1
Putting x=62 in Eqn 2
Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Keywords: linear equation, substitution method
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Answer:
C) $10,000 invested at 6.7% compounded quarterly over 7 years yields the greater return.
Step-by-step explanation:
-We determine the effective interest rate in both scenarios and use it to calculate the investment's value after 7 years.
#Given n=7yrs, P=$10,000 and i=6.6% compounded monthly:
#Given n=7rs, P=10000, i=6.7%
Hence, the investment has the largest value($15,921.75) when the interest rate is compounded quarterly.