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finlep [7]
3 years ago
6

Carl bought a DVD that cost $24.00 plus 8.25% sales tax. How much did Carl pay for this DVD in dollars and cents?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer: Carl paid $25.98 for this DVD in dollars and cents.

Step-by-step explanation:

The original cost of the DVD was $24.00. If a sales tax of 8.25% was charged, it means that the original cost of the DVD would increase by 8.25%.

The value in dollar and cents of an 8.25% increment(sales tax) would be

8.25/100 × 24 = 0.0825 × 24

= $1.98

Therefore, the amount that Carl would pay for this DVD in dollars and cents is

24 + 1.98 = $25.98

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If x = 10 and the area of the rectangle is 120, what is the length of the other side?
sweet [91]

Answer:

12

Step-by-step explanation:

to find area you do length times width. if we have one side we have to find what 120/10 is. that is 12. 10 x 12 is 120.

6 0
3 years ago
The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is th
Verizon [17]

____________________________________________________

Answer:

Your answer would be 3 miles.

____________________________________________________

Explanation and work:

To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.

The equation we would use in this type of question is the Pythagorean Theorem.

Pythagorean Theorem:

a² + b² = c²

When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.

Lets start solving:

1.8 would be plugged into "a"

2.4 will be plugged into "b"

(1.8)² + (2.4)² = c²

 ↓          ↓        ↓

3.24  + 5.76 =  c²

          ↓

          9  = c²

              ↓

      √9 = √c²

             ↓

         3  = c

3 miles would be your FINAL answer.

____________________________________________________

4 0
3 years ago
HI PLEASE HELP ME WITH MY CALCULUS 1 HW? I AM REALLY STUCK. I need help with parts d,e,g.
asambeis [7]

(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when t=0 and t=3, and because the velocity function is continuous, you need only check the sign of v(t) for values on the intervals (0, 3) and (3, 6).

We have, for instance v(1)\approx-0.91 and v(4)\approx0.91>0, which means the particle is moving the positive direction for 3, or the interval (3, 6).

(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

\displaystyle\int_0^6|v(t)|\,\mathrm dt=\int_0^3-v(t)\,\mathrm dt+\int_3^6v(t)\,\mathrm dt

which follows from the definition of absolute value. In particular, if x is negative, then |x|=-x.

The total distance traveled is then 4 ft.

(g) Acceleration is the rate of change of velocity, so a(t) is the derivative of v(t):

a(t)=v'(t)=-\dfrac{\pi^2}9\cos\left(\dfrac{\pi t}3\right)

Compute the acceleration at t=4 seconds:

a(t)=\dfrac{\pi^2}{18}\dfrac{\rm ft}{\mathrm s^2}

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)

6 0
3 years ago
Calculate the distance between the points Q = (2, -1) and K = (6,-9) in the coordinate plane.
White raven [17]

Answer:

Sqrt 80 = 8.94

Step-by-step explanation:

d = sqrt[(x-x)^2 + (y-y)^2]

d = sqrt [(6-2)^2 + (-9 - - 1)^2]

d = sqrt [(4)^2 + (-8)^2]

d = sqrt (16 + 64)

d = sqrt 80

d = 4 sqrt 5 = 8.94

3 0
3 years ago
What is the result of 96 divided by 6? Use the model to find the answer.
gregori [183]

Answer:

the answer is 16

Step-by-step explanation:

i dont see any model but thats the result. (also so u don't waste points u can just use a calculator for things like this in the future)

3 0
2 years ago
Read 2 more answers
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