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kodGreya [7K]
3 years ago
15

Is 3.021 greater than 3.201

Mathematics
1 answer:
Vikki [24]3 years ago
3 0
No it is not have a nice day/night
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Katrina has the option of an 8-year non-subsidized student loan of $32,000 at an annual interest rate of 3.5% or an 8-year subsi
Fiesta28 [93]

Answer: katrina will pay less interest on the 8-year non subsidized student loan

The total interest paid on the non-subsidized loan is USD 8,959

The total interest paid on the subsidized loan is USD 11,520

Step-by-step explanation:

Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520

For non subsidized student loan at 3.5% will be 3.5/100 x 32000x 1/12= USD 93.33/month, USD 1,119per year and USD 8,959 for 8 years

6 0
3 years ago
As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from 30° to 45°. Id
levacccp [35]
ANSWER

The height is 22ft


EXPLANATION

Let the height of the chimney be x.

\tan(45 \degree) = \frac{x}{y}

1 = \frac{x}{y}

x = y

\tan(30 \degree) = \frac{x}{16+ y}

\frac{ \sqrt{3} }{3} = \frac{x}{16 + y}

Cross multiply

\sqrt{3} (16 + y) = 3x

16 \sqrt{3} + y \sqrt{3} = 3x

Put

y = x

into the equation;

16 \sqrt{3} + x \sqrt{3} = 3x

Group similar terms:

16 \sqrt{3}= 3x - x \sqrt{3}

16 \sqrt{3}= (3 - \sqrt{3})x

\frac{16 \sqrt{3} }{3 - \sqrt{3} } = x



x=21.856


The height of the chimney to the nearest feet is 22

6 0
3 years ago
Can someone please help me out?
neonofarm [45]

Answer:

<h2><u><em>x    </em></u><u>|</u><u><em>   f(x)</em></u></h2><h2><u>0    |    0</u></h2><h2><u>2    |    2</u></h2><h2><u>5    |    3</u></h2><h2><u>9    |    1</u></h2><h2><u>10  |    0</u></h2>

Step-by-step explanation:

On the left side of the chart, is the x values. The x values are listed on the x axis which is the horizontal line.

The right side of the chart are the y values. The y values are listed on the y axis which is the vertical line.

Knowing this, we can start

First, for all the answer that we know the x value, we need to find the number that matches on the x axis. Once we find that number, we go up or down on the y axis until we find the line.

If we know the y value, we need to find the number that matches on the y axis. Then we will go right until we find the line.

Remember - There CAN NOT be two y values for the same x value but THERE CAN BE two x values for the same y value

3 0
3 years ago
melissa runs a landscaping business. She has equipment and fuel for $343 per month. If she charges $46 for each lawn, how many l
dexar [7]
We can find this by creating a function to represent how many lawns she's mowed. 


f(x) = 46x - 343

The 46x represents the profit of 46 dollars per month for each lawn mowed and the -343 is the cost of fuel per month to remove it from profit. We now need to set this function to 800, and solve for x.

800 = 46x - 343
1143 = 46x
25.58 = x

Because she can't mow part of a lawn, we need to round to a whole number. Our options are to round down to 25 or round up to 26. Lets start with the lower number first, and see if the profit for that many lawns is over 800.

f(25) = 46(25) - 343
f(25) = 1150 - 343
f(25) = 807

Because 25 is over 800 dollars, we don't need to calculate 26. Therefore, she needs to mow at least 25 lawns to make a profit of at least 800 dollars a month.
8 0
4 years ago
Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordina
il63 [147K]

Answer:

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Step-by-step explanation:

Ax + By = C, where A = 0, B is positive, and C is negative

By= C or y= C/B which is negative

Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero

---------------

A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).

no, the line is horizontal

A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).

no, the line is horizontal

A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).

no, the y-values should be negative

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

yes, this is horizontal line below zero

8 0
3 years ago
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