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Rudiy27
4 years ago
14

Employees at Counting Sheep Mattress Company earn 40% commissions on each mattress they sell. Jason sold a mattress for $1,149.

How much commission did Jason earn?
Mathematics
2 answers:
vampirchik [111]4 years ago
8 0

Answer:

Commission earned = $459.6

Step-by-step explanation:

40% of 1149 = 0.4 x 1149 = $459.6

Anna [14]4 years ago
6 0

Answer:

Jason earned $459.6 from that sale.

Step-by-step explanation:

In order to find out how much Jason made we need to calculate how much 40% of 1,149 is. We can use a rule of three for that in such a way that 1,149 relates to 100% such as 'x' relates to 40%. So we have:

1149 -> 100%

x -> 40%

100*x = 1149*40

100*x = 45960

x = 45960/100 = $459.6

Jason earned $459.6 from that sale.

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Write the decimal equivalent for this fraction 70/100
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Step-by-step explanation:

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Four less than half a number is 15. Find a number.
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Step-by-step explanation:

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A person invested $200 in an account growing at a rate allowing the money to double every 13 years. How much money would be in t
antiseptic1488 [7]

Answer:

$431

Step-by-step explanation:

Given parameters:

Principal  = $200

Time given for the amount to double  = 13yrs

Unknown:

Amount in the account after 15yrs = ?

Solution:

To solve this problem, we need to find the interest rate on this investment.

    I = \frac{PRT}{100}

I = interest

P = principal

R = Rate

T = time

 Now,

  if the amount should double,

     Interest earned  = $200

So;

         200  = \frac{200 x R x 13}{100}  

         200  = 26 x R

           R = 7.7%

Now, in 15yrs, this amount will be;

 let us find the interest;

           I  = \frac{200 x 7.7 x 15}{100}  

           I = $231

The amount in the account will be:

  Amount  = Principal + Interest

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8 0
3 years ago
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water is being pumped into an inverted conical tank at some constant rate. the tank has a height of 600 cm and the diameter of t
Marat540 [252]

It is found that water is being pumped at a rate of 838095.24 cm³/min using implicit differentiation.

A conical tank's volume (V) is calculated as follows:

V = \frac{\pi r^{2} h}{3}

where the height is h and the radius is r.

When we use implicit differentiation, we get the following:

\frac{dV}{dt}  = \frac{\pi }{3} (2rh \frac{dr}{dt} + r^{2}  \frac{dh}{dt} )

We have that:

Height of 600 cm, thus h = 600 cm

Diameter of 400 cm, thus r = \frac{400}{2} = 200 cm

Water level rising at a rate of 20 cm/min, thus \frac{dh}{dt}  = 20 cm/min

Since the radius is constant, \frac{dr}{dt} = 0

Pumping water into the tank happens at a rate \frac{dV}{dt} of

\frac{dV}{dt}  = \frac{\pi }{3} (2rh \frac{dr}{dt} + r^{2}  \frac{dh}{dt} )

\frac{dV}{dt}  = \frac{\pi }{3} ((2 * 200 *600 * 0) + (200)^{2}  * 20)

\frac{dV}{dt}  = \frac{\pi }{3} ( 0 + 40000  * 20)

\frac{dV}{dt}  = \frac{\pi }{3} (800000)

\frac{dV}{dt}  = \frac{22 }{7*3} (800000)

\frac{dV}{dt}  = \frac{22 }{21} (800000)

\frac{dV}{dt}  = 838095.24\; cm^{3}/min

Therefore, the rate of water pumping into the tank is 838095.24 cm³/min.

Visit the link below to solve similar problems:

brainly.com/question/5889603

#SPJ4

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1 year ago
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