Find the missing coefficient (5d - 7)(5d - 6) = 25d2 + what d + 42

Mathematics

1 answer:

MrMuchimi3 years ago

8 0

The coefficient is -65.

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Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge

sammy [17]

Answer:

$7.62 per hour

Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

$F=P(1+r)^t$

Where,

F is the future value (what we want to find)
P is the present rate ($6.5)
r is the rate of growth, in decimal (2% growth means 0.02)
t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

Now plugging in all the info, we get the value of F:

$F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62$

Thus, after 2 years, Heather's hourly rate will be $7.62

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3 years ago

Ramonita measured the height of a tree to be 11 feet. One month later, she measured the tree to be 11.75 feet tall. Two months a

DedPeter [7]

Hi.

To formally answer your question:

D. y = 0.75x + 11

We can prove this by substituting x with 1 (the initial measurement)

y = 0.75(1) + 11 = 11.75

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3 years ago

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's ar

Nataliya [291]

Width = W
Length = 3 times w = 3W

Area = length x width = 3W * W = 3W^2

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3 years ago

8x8x8=_______=_______

zaharov [31]

Answer:

8*8*8= 8^3= 512

Step-by-step explanation: