An architect is designing a new lakefront cottage. He must consider the building codes in the design. The rectangular lot
on which the cottage will be built is 220 ft long and has 110 ft of
frontage on the lake.
a. The building code states that a building must be no
closer than 25 ft to the lot line. Write and solve an
inequality to determine how long the cottage front
facing the lake may be.
b. The buyers expect that the cost of the cottage will be
about $125,000. They are able to deviate from this cost
by no more than $12,500. Write and solve an absolute
value inequality to find the range of costs. Explain your
220 ft
answer.
110 ft

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

step-by-step explanation: