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LiRa [457]
3 years ago
14

Please don’t ignore I really need some help on this

Mathematics
2 answers:
Andre45 [30]3 years ago
6 0
45.50(original price) * .8 (discount) * 1.05 (tax) =$38.22(final answer)
Sonbull [250]3 years ago
3 0

Answer:

38.22

Step-by-step explanation:

Remark

You take the discount first. Most places apply a sales tax only when money changes hands (or it should be that way).

Discount

45.50 * 20/100 = 9.10

45.50 - 9.10 = 36.4

Sales Tax

46.4 * 5/100 = 1.82

Total Cost

Total Cost after the discount = 36.4 + 1.82 = 38.22

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Jasper has an annual salary of $71000 and his company pays him twice a month. What is the gross income per paycheck that Jasper
Sliva [168]

Answer:

$2,958.33

Step-by-step explanation:

Jasper's annual salary is $71000.

Considering that a year has 12 months and that he gets a paycheck twice each month, the total number of paychecks (P) Jasper gets each year is:

P = 12*2 = 24

To define Jasper's gross income per paycheck (I), simply divide his annual salary by the number of paychecks in a year:

I=\frac{\$ 71,000}{24} \\I=\$ 2,958.33

Jasper's gross income per paycheck is $2,958.33.

3 0
3 years ago
6. A regular pyramid has a square base. The perimeter of the base is 64 inches and the height of the pyramid is 12 inches. What
hichkok12 [17]

The volume is 1024. the base lengths are all 16 inches

4 0
2 years ago
Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,
sweet [91]

Answer:

Hence, the particular solution of the differential equation is y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x.

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

f'' = x - \frac{3}{2}

f' = \int {\left(x-\frac{3}{2}\right) } \, dx

f' = \int {x} \, dx -\frac{3}{2}\int \, dx

f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C, where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative (f'(4) = 1):

1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C

C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)

C = -1

The first derivative is y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1, and the particular solution is found by integrating one more time and using the initial condition (f(0) = 0):

y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1  \right)} \, dx

y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx

y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C

C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0

C = 0

Hence, the particular solution of the differential equation is y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x.

5 0
3 years ago
Simplify and expression for the perimeter of the the rectangle shown.
erma4kov [3.2K]

Answer:

Step-by-step explanation:

l = 8.6 x + 3

b = 5.2

perimeter =

6 0
3 years ago
A cruise ship is currently 20 kilometers away from its port and is traveling away from the port at 5 kilometers per hour . The f
Paladinen [302]

Answer:

The ship will be 37.5\ km far from its port 3.5 hours from now

Step-by-step explanation:

Hi

The function is y=5x +20 relates the number of kilometers y the ship will be from its port x hours from now, it has a form y=vt+y_{0} \ where \ y\ is\ final\ distance\\v\ is\ velocity\ in\ km/h,\ t\ is\ time\\and\ y_{0}\ is\ initial\ distance.

As the function is clearly defined, we only have to evaluate it for x=3.5, so y(3.5)=5(3.5)+20=17.5+20=37.5 \ km is the distance between the cruise ship and its port after 3.5 hours.

7 0
3 years ago
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