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3 years ago

Michelle bought a new calculator for math class. It cost $17.25. The

Mathematics

1 answer:

zzz [600]3 years ago

3 0

Answer:

The tax would be $0.95, and the total would be $18.20.

Step-by-step explanation:

From what we know, the calculator costs $17.25 and the tax rate is 5.50%, which is the same as 0.055 times the original price. Knowing this, multiply 17.25 (69/4) by 1.055 (211/200).

69/4 * 211/200

EX Step: I'll make this a single fraction for convenience.

(69 * 211)/(4 * 200)

Step 1a: Multiply 69 by 211 to get 14,559.

14,559/(4 * 200)

Step 1b: Multiply 4 by 200 to get 800.

14,559/800

Step 2: Divide 14,559 by 800 to get 18.19875.

18.19875

Step 3: Round to the nearest cent.

The total cost of the calculator is $18.20.

Step 4: To find the tax, subtract the total price (w/ tax) from the original price.

$18.20 - $17.25

Tip: You can subtract the two decimal values (.20 and .25) from each other. If the result is positive, add that to 0. If negative, subtract from 100.

20 - 25 = -5 (subtract from 100)

100 - 5 = 95 (This is the decimal portion, the whole is 0.)

The tax is $0.95.

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The equation, y = 1250x + 22,850, gives the salary of a person as "y" after the stated number of years (x). Model the data with

Sidana [21]

Answer:

(a) $y = 6250x +17850$ --- The function

(b) $y = 49100$ --- The salary in 5 years

Step-by-step explanation:

Given

$y = 1250x + 22850$

Solving (a): Model the function around (1,24100) and (3,36600)

First, we calculate the slope

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{36600 - 24100}{3 - 1}$

$m = \frac{12500}{2}$

$m = 6250$

The function is then calculated as:

$y = m(x - x_1) + y_1$

$y = 6250(x - 1) + 24100$

$y = 6250x - 6250 + 24100$

$y = 6250x +17850$

Solving (b): Salary in 5 years

Here:

$x = 5$

So:

$y = 6250x +17850$

$y = 6250*5 +17850$

$y = 49100$

8 0

3 years ago

A circle is growing so that the radius is increasing at the rate of 3 cm/min. How fast is the area of the circle changing at the

Naya [18.7K]

Answer:

The area is growing at a rate of $\frac{dA}{dt} =226.2 \,\frac{cm^2}{min}$

Step-by-step explanation:

Notice that this problem requires the use of implicit differentiation in related rates (some some calculus concepts to be understood), and not all middle school students cover such.

We identify that the info given on the increasing rate of the circle's radius is 3 $\frac{cm}{min}$ and we identify such as the following differential rate:

$\frac{dr}{dt} = 3\,\frac{cm}{min}$

Our unknown is the rate at which the area (A) of the circle is growing under these circumstances,that is, we need to find $\frac{dA}{dt}$ .

So we look into a formula for the area (A) of a circle in terms of its radius (r), so as to have a way of connecting both quantities (A and r):

$A=\pi\,r^2$

We now apply the derivative operator with respect to time ( $\frac{d}{dt}$ ) to this equation, and use chain rule as we find the quadratic form of the radius:

$\frac{d}{dt} [A=\pi\,r^2]\\\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}$

Now we replace the known values of the rate at which the radius is growing ( $\frac{dr}{dt} = 3\,\frac{cm}{min}$ ), and also the value of the radius (r = 12 cm) at which we need to find he specific rate of change for the area :

$\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}\\\frac{dA}{dt} =\pi\,*2*(12\,cm)*(3\,\frac{cm}{min}) \\\frac{dA}{dt} =226.19467 \,\frac{cm^2}{min}\\$

which we can round to one decimal place as:

$\frac{dA}{dt} =226.2 \,\frac{cm^2}{min}$

4 0

3 years ago

I need help with this

muminat

Answer:

abcs

Step-by-step explanation:

abcdefghijklmnopqrstuvwxy and z

7 0

3 years ago

Nathan deposited 7/9 of his allowance into his savings account. He spent the remaining amount, or $2.50. How much did Nathan dep

kati45 [8]

Let us assume that total amount of Nathan's allowance = x
Amount of money deposited by Nathan into his savings account = 7x/9
Remaining amount that Nathan spent = $2.50
Now we have to get to the equation for solving the question asked.
7x/9 + 2.50 = x
7x + (9 * 2.50) = 9x
7x + 22.50 = 9x
22.50 = 9x - 7x
22.50 =2x
x = 22.50/2
 = 11.25
So $11.25 is the total allowance of Nathan.
Then The amount of money deposited by
Nathan in savings account = (7/9) * 11.25
 = 78.75/9
 = 8.75
So Nathan deposits $8.75 in his savings account.

5 0

3 years ago

Each of the

lana66690 [7]

Step-by-step explanation:

(4,8+8,9+14,19+20)/4=11,9725

4 0

2 years ago