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iragen [17]
2 years ago
11

15. Edgar Anderson earns $200 a week plus a 15% commission on all sales over $1,000. If Mr. Anderson's sales for one week are $2

,500, what is his gross pay for that week?
A. $350
B. $525
C. $575
D. $425

16. Which one of the following statements expresses a true proportion?
A. 14 : 6 = 28 : 18
B. 42 : 7 = 6 : 2
C. 2 : 3 = 3 : 2
D. 3 : 5 = 12 : 20
Mathematics
1 answer:
Gwar [14]2 years ago
6 0
15. 

2500 X 15 = 37500
37500 ÷ 100 = 375
375 + 200 = 575
The answer is C.


16. 
The easiest way to answer this question is by going through each answer one by one: 

14:6 = 28:18
28 <span>÷ 14 = 2
</span>18 <span>÷ 6 = 3
</span>Since both numbers were multiplied by different numbers, we can establish that this is not a true proportion. 

42:7 = 6:2 
42 ÷ 7 = 6
7 ÷ 7 = 1
42:7 = 6:1
By dividing both numbers by the same number, we can establish that the answer is wrong. 

2:3 = 3:2
This is obviously wrong. That is because, in ratios, the order counts. So the first 3 is more than the first 2, therefore the second number on the other side of the ratio should be more than the first. 

3:5 = 12:20
12 <span>÷ 3 = 4
</span>20 <span>÷ 5 = 4
</span>Since both numbers were multiplied by the same number, this is a true proportion. 

The answer is D.

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A swimming pool whose volume is 10 comma 000 gal contains water that is 0.03​% chlorine. Starting at tequals​0, city water conta
Katarina [22]

Answer:

C(60) = 2.7*10⁻⁴

t = 1870.72 s

Step-by-step explanation:

Let x(t) be the amount of chlorine in the pool at time t. Then the concentration of chlorine is  

C(t) = 3*10⁻⁴*x(t).

The input rate is 6*(0.001/100) = 6*10⁻⁵.

The output rate is 6*C(t) = 6*(3*10⁻⁴*x(t)) = 18*10⁻⁴*x(t)

The initial condition is x(0) = C(0)*10⁴/3 = (0.03/100)*10⁴/3 = 1.

The problem is to find C(60) in percents and to find t such that 3*10⁻⁴*x(t) = 0.002/100.  

Remember, 1 h = 60 minutes. The initial value problem is  

dx/dt= 6*10⁻⁵ - 18*10⁻⁴x =  - 6* 10⁻⁴*(3x - 10⁻¹)               x(0) = 1.

The equation is separable. It can be rewritten as dx/(3x - 10⁻¹) = -6*10⁻⁴dt.

The integration of both sides gives us  

Ln |3x - 0.1| / 3 = -6*10⁻⁴*t + C    or    |3x - 0.1| = e∧(3C)*e∧(-18*10⁻⁴t).  

Therefore, 3x - 0.1 = C₁*e∧(-18*10⁻⁴t).

Plug in the initial condition t = 0, x = 1 to obtain C₁ = 2.9.

Thus the solution to the IVP is

x(t) = (1/3)(2.9*e∧(-18*10⁻⁴t)+0.1)

then  

C(t) = 3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴t)+0.1)

If  t = 60

We have

C(60) = 10⁻⁴*(2.9*e∧(-18*10⁻⁴*60)+0.1) = 2.7*10⁻⁴

Now, we obtain t such that 3*10⁻⁴*x(t) = 2*10⁻⁵

3*10⁻⁴*(1/3)(2.9*e∧(-18*10⁻⁴t)+0.1) = 2*10⁻⁵

t = 1870.72 s

7 0
3 years ago
Ebert used to make $22 an hour, but got a 10% raise. How much more will he make in a 40 hour work week with the raise?
Helen [10]

Answer: $88.00 per week


Step-by-step explanation: 10% of 22 is 2.2.  22 + 2.2 = 24.20 per hour

Multiply 24.20x40hours = 968.00

Multiply 22.00x40 hours =880.00

Subtract 968-880=88.00 his new weekly pay minus his old weekly pay



3 0
2 years ago
Read 2 more answers
10 points
velikii [3]
384. 25 is the correct answer.
7 0
3 years ago
Morgan works at a store that sells clothing accessories. The supply function
jarptica [38.1K]

Answer:

The number of supply of base balls is 22

Step-by-step explanation:

Given

P = Q - 4

Price = $18

Required

Number of supply

The relationship between price and quantity is given to be P = Q - 4 where price is represented by P and Q represents the quantity.

To get the quantity supply when price is $18, all you need to do is to substitute 18 for P in the above equation;

Thus, giving:

18 = Q - 4

Make Q the subject of formula

Q = 18 + 4

Q = 22 quantities

Hence,  the number of supply of base balls is 22

6 0
3 years ago
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marshall27 [118]

Answer:

Step-by-step explanation:

60 is ur answer or 36 is ur answer

Pls do Mark it

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