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3 years ago

(30 POINTS AND BRAINLIEST FOR BEST)

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

Part A)

Multiply the amount he earned by 8.5%

8.5% written as a decimal is 0.085.

75,000 x 0.085 = $6,375

Part B)

Subtract the amount of tax from his earnings:

75,000 - 6,375 = $68,625

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3 years ago

(06.02) A linear function that represents the number of animals adopted from the shelter is compared to a different linear funct

irga5000 [103]

Answer:

1) These linear functions must not describe a pair of parallel lines.

2) Any intersection of two lines determines a point.

Step-by-step explanation:

Hi there!

Well, since no further details were given. Let's call the linear function that represents the number of animals adopted from the shelter $s(x)$ . And

the hours the volunteers work at the shelter each week $v(x)$

1) These linear functions must not describe a pair of parallel lines.

If these lines intersect, then their slope must be different.

$m_{s}\neq m_{v}\\e.g.\\m_{s}=2\\m_{v}=-2$

Equal slopes, parallel lines. Parallel lines, no intersection.

Different slopes, then there is an intersection at some point.

2) Any intersection of two lines determines a point. Let's find it.

So to find one common point equalize the two functions, then find the value for the x-coordinate. Plug it in one of the functions, e.g.

$2x+2=-2x+2 \rightarrow 4x=0 \therefore x=0\\2(0)+2=2 \Rightarrow (0,2)$

At the common point, both functions after inserted the same value in the Domain (x) return the same result for their respective Range set.

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3 years ago

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

Greeley [361]

<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100. This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean. However, included in the 95% is data less than the mean and greater than the mean. Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.

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3 years ago

Read 2 more answers

PLEASE SOMEONE HELP ME WITH THIS! NO ONE CAN FIGURE IT OUT AND ILL GIVE YOU 60 POINTS PLUS BRAINLIEST IF YOU CAN HELP ME! please

Anit [1.1K]

A) Variables:

X = number of weeks she puts money into the account.

Y = total amount in account after x weeks.

B) m would be the amount she puts in per week, b is the starting amount she has in the account

Y = 5x + 40

C) replace x with the x values in the cart and solve for y:

O : y = 40. Coordinates (0,40)

1: Y = 45. (1,45)

2: 50, (2,50)

3: 55, (3,55)

4: 60, (4,60)

D) make the graph using the above points

E) y intercept is when x is 0, which is 40. This was the starting value of how much money was saved.

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3 years ago

3. Solve for the side length of BA and AC. * (image attached)

horrorfan [7]

Ba = 8,ac = 16 is the correct one

6 0

3 years ago

Read 2 more answers