Multiply ($728.00) * (6.2%) and round to the nearest cent. (Include the correct units.)

Answers

Answer 1

Answer: 6.2% = 0.062, % means divide by 100.

$728.00 * 0.062 = $45.136
If the next digit is 5 or higher, round up. (4 or lower, round down)
$45.14

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I Need Help PleaseKate has some dimes and quarters. If she has 32 coins worth a total of $5.30, how many of each type of coin does she have

Grey ran 2.4 times as many miles as Emory. If Emory ran 2.08 miles, how many miles did Grey run?

Answers

The answer is 4.992 and I checked that on a calculator so I'm positive that this is the right answer to your problem.

What is 5r^2 = 80

It says solve each equation with the quadratic formula.

Answers

$5r^2 = 80 \ \ /:5\n \nr^2=(80)/(5)\n \nr^2=16\n \nr^2-16=0\n \n r^2 - 4^2 =0 \n \n(r-4)(r+4)=0$

$r-4=0 \ \ \vee \ \ r+4 =0 \n \nr=4 \ \ \vee \ \ r = -4 \n \n \n a^2-b^2 = (a- b)(a+b)$

Evaluate the following expression using the values given: Find 4x to the second power minus y minus 2z

X=-2
Y=3
Z=-1

Answers

The answer isss.. 15!

At a competition 24 of 40 members of a middle school band won a metal. What percentage of the members of the band won a medal

Answers

The percentage of the members of the band won a medal is 60%.

Given that, at a competition 24 of 40 members of a middle school band won a metal.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The fraction for 24 of 40 members is

24/40

So, the percentage

= 24/40 ×100

= 60%

Hence, the percentage of the members of the band won a medal is 60%.

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Answer:

Step-by-step explanation:

24/40=60%

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. Which model best represents the data?

A.) y = 47(1.191)x

B.) y = 34(1.204)x

C.) y = 26.9x – 1.3

D.) y = 27x – 4

Answers

Answer:

Hence, the model that best represents the data is:

$y=26.9x-1.3$

Step-by-step explanation:

We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

$y = 47(1.191)^x$

$y=34* (1.204)^x$

$y=26.9x-1.3$

$y=27x-4$

We make the table of these values at different values of x.

x A B C D

2 66.66 49.3 52.5 50

4 94.57 71.44 106.3 104

6 134.14 103.57 160.1 158

8 190.27 150.14 213.9 212

10 269.91 217.64 267.7 266

12 382.85 315.5 321.5 320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

The exponential function gotten from the table is y = 34(1.204)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the lines of code written by x people.

From the table using the points:

(2,50) and (12, 320)

At (2, 50):

50 = ab² (1)

At (12, 320):

320 = ab¹² (2)

From equation 1 and 2:

b = 1.204, a = 34

The exponential function gotten from the table is y = 34(1.204)ˣ

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Which is the best approximation for the measure of angle EGF? 32.8° 40.2° 49.8° 57.2°

Answers

Angle EGF = x

Sin x = 12/18.6

Sinx ≈ 0.6452

x ≈ Sin⁻¹(0.6452). Use a calculator.

x ≈ 40.18°

x ≈ 40.2°

Second option.

The measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a right-angle triangle shown in the picture.

From the sin ratio:

sinx = side opposite to angle/hypotenuse

sinx = 12/18.6 = 0.645

x = sin⁻¹(0.645)

x = 40.17≈ = 40.2 degrees

Thus, the measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.

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