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suter [353]
3 years ago
11

Please answer fast 1. Each week, Bart earns a base rate of $85 and a commission on each dollar of merchandise he sells. If Bart

sells $3600 in one week and c represents the commission percentage, which algebraic expression represents his earnings for that week?
2.A rental car agency charges a base fee of $60.00 plus $0.25 per mile travelled. Which algebraic expression represents the cost of renting a car from the agency after traveling m miles?
Mathematics
2 answers:
zysi [14]3 years ago
7 0

85 + 3600c

and : c(cost)=60.00 + 0.25m(miles)

igor_vitrenko [27]3 years ago
3 0

1. It depends on the form of "c". If we realize that a commission percentage of 10% is identical in value to 0.10, then we can compute the commission as 3600c. If the commission percentage of 7% is given as c=7, then we need to compute the commission as 3600·(c/100) = 36c. We will assume the former.

... (Bart's earnings) = 85 + 3600c

2. The cost of a rental is the base fee plus the mileage charge multiplied by the number of miles:

... (cost of renting) = 60.00 + 0.25m

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You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for
Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0
3 years ago
Isabell is thinking of a even number between 234 and 250 the sum of the digits is double the digit in the ones place what is Isa
Lelu [443]

Answer:

246.

Step-by-step explanation:

Let the number be 2xy, then

2 + x + y = 2y    and y must be even because the whole number is even.

y = 2 + x .

Now x must be even because y is even.

The only 2 numbers which fit are x = 4 and y = 6 so the number is 246.

Checking: 2+4+6 = 12 and 12 = 2*6.

5 0
3 years ago
I need help ASAP!!!!!!!!!!!!!!!!!!!!
Mariulka [41]

Answer:

I think its the last one

Step-by-step explanation:

6 0
3 years ago
154 and 145 to the nearest hundred
Yuki888 [10]

Answer: 154: 200 145: 100

Step-by-step explanation:

If the number next to the place value is 5 or more you round it up. Like I did 154. But if the number is less that 5 you put everything to zero EXCEPT for the place value you are rounding. Good Luck

5 0
3 years ago
Read 2 more answers
1.) Which domain restrictions apply to the rational expression? 14x-2x / x^2-7x
mezya [45]

Answer:

3. \displaystyle 1\frac{1}{3} = x

2<em>C.</em> \displaystyle III.

2<em>B.</em> \displaystyle I.

2<em>A.</em> \displaystyle II.

1. \displaystyle Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

Step-by-step explanation:

3. <em>See</em><em> </em><em>above</em>.

2<em>C</em>. The keyword is ratio, which signifies division, so you would choose "III.".

2<em>B</em>. The keyword is percent, which signifies multiplication of a ratio by 100, so you would choose "I.".

2<em>A</em>. The keyword is total, which signifies addition, so you would choose "II.".

1. Base this off of the denominator. Knowing that the denominator CANNOT be zero, you will get this:

\displaystyle x^2 - 7x \\ x[x - 7] = 0; 7, 0 = x \\ \\ Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

I am joyous to assist you anytime.

5 0
3 years ago
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