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Kay [80]
1 year ago
6

Peach Produces pays its employees by the formula, P(b)=52b+45 P b = 5 2 b + 45 , where P(b) P b is the employee’s total daily pa

y and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?
A $5.00

B $2.00

C $45.00

D $2.50
Mathematics
1 answer:
lukranit [14]1 year ago
3 0

Answer:

$2.50

Step-by-step explanation:

Given the daily pay formula :

P(b)=5/2b+45

P(b) = employee’s total daily pay

b = number of bushels of peaches picked

Hence from the fórmula ; rate which employees are paid per bushel. Of peach picked is the gradient of the equation :

According to the intercept slope formula:

y = mx + c ; where m = slope or gradient

From the equation :

P(b)=5/2b+45

The slope or gradient is 5/2 ; hence, employees are paid $5/2 per bushel of peaches picked.

$5/2 = $2.50

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If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what
Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : A=P(1+r)^t

A_1=42000(1+0.03)^1

A_1=43260

A_2=42000(1+0.03)^2

A_2=44557.8                  

A_3=42000(1+0.03)^3

A_3=45894.534                

A_4=42000(1+0.03)^4

A_4=47271.370                

A_5=42000(1+0.03)^4

A_5=48689.511            

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is  $229673.215

5 0
1 year ago
How do i do this some one please explain
Talja [164]

Well since we already have our unit per mile.

We know that 1 mile = $3.50

And that the tow company towed the car 12 miles.

So we would have to multiply 12 by $3.50

soo..

12 x $3.50 = $42.00

So your answer is D. $42.00

4 0
1 year ago
The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.9 and a standard deviation of
labwork [276]

Answer:

A) Approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%

Step-by-step explanation:

We are given;

mean;μ = 247.9

standard deviation;σ = 64.7

A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3.

Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.

While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%

Thus, approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.

53.8 and 442.0 represents 3 standard deviations from the mean.

Let's confirm that.

Since mean;μ = 247.9

standard deviation;σ = 64.7 ;

μ = 247.9

σ = 64.7

μ + 3σ = 247.9 + 3(64.7) = 442

Also;

μ - 3σ = 247.9 - 3(64.7) = 53.8

Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;

(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%

5 0
1 year ago
Alaskan Salmon are fished extensively to serve in restaurants. However, there are limits to how many and the size of fish which
TEA [102]

Answer:

The salmon size is less than equal to 10.28 inches represent bottom 25% of all salmon.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.5 inches

Standard Deviation, σ = 3.3

We are given that the distribution of salmon size is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.25

P( X < x) = P( z < \displaystyle\frac{x - 12.5}{3.3})=0.25  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 12.5}{3.3} = -0.674\\\\x = 10.2758\approx 10.28  

Thus, the salmon size is equal to or less than 10.28 inches, they are considered small and young and represent bottom 25% of all salmon.

4 0
2 years ago
Evaluate the expression. P(9, 3) · P(5, 4)
boyakko [2]

Answer:

P(9,3) *P(5,4)

And if we use the permutation formula given by:

nPx = \frac{n!}{(n-x)!}

And replacing we got:

\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520

Step-by-step explanation:

For this problem we want to find the following expressionÑ

P(9,3) *P(5,4)

And if we use the permutation formula given by:

nPx = \frac{n!}{(n-x)!}

And replacing we got:

\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520

6 0
2 years ago
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