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2 years ago

A moving firm charges a flat fee of $35 plus $30 per hour. Let y be the cost in dollars of using the moving firm

Mathematics

1 answer:

zysi [14]2 years ago

7 0

Answer:

y=35x+30

Step-by-step explanation:

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In 2012, the population of a city was 6.27 million. The exponential growth rate was 1.47% per year.

Tcecarenko [31]

Answer:

a) $a(t)= 6.27e^{0.0147*t}$

b) 6.84 million

c) 2028.52

d) 47 years

Step-by-step explanation:

a)Here we know standard exponential growth rate is

$a(t)= ae^{k*t}$

In this put t=0 and a(t)=6.27 million

thus we get a = 6.27 million

now $\frac{da}{dt}=a(t)k$

this is equal to(in 2012)= $\frac{1.47}{100}*=0.0147$

b)Put t = 6

we get

$a(t)= 6.27e^{0.0147*6}$

=6.84 million

c) $8 = 6.27e^{0.0147*t}$

take log both sides

we get 16.52 years

d) $2*6.27=6.27e^{0.0147*t}$

take log both sides we get 47 years to get double the current population.

3 0

2 years ago

Solve 2(x-2)=6 please help me

Elena L [17]

2(x-2)=6
2x-4=6
2x=6+4
2x/2=10/2
x=5

4 0

2 years ago

Read 2 more answers

Write 5 + = 6 + 8. write a number to make the sentence true. draw a quick picture to explain.

mel-nik [20]

9 would be answer. when you plug in the 9 to the equation you get 14=14 which is a true statement.

8 0

3 years ago

The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they

Jobisdone [24]

The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

$P(c)=-20c^2+320c+5120 \\ \\
a=-20 \\
b=320 \\ \\
\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
=-1280+2560+5120=6400$

The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.

4 0

3 years ago

Read 2 more answers

The company Drug Test Success provides a "1-Panel-THC" test for marihuana usage. Among 300 tested subjects, results from 27 subj

Sindrei [870]

Answer:

There is evidence for the claim that less than 10% of the test results are wrong

Step-by-step explanation:

Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.

Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)

Sample proportion = $\frac{27}{300} \\=0.09$

H0: p = 0.10

Ha: p <0.10

(left tailed test)

p difference = 0.09-0.10 = -0.01

Std error = $\sqrt{0.1*0.9/300} \\=0.005196$

z statistic = -1.9245

p value = 0.027

Since p <0.05 we reject H0

There is evidence for the claim that less than 10% of the test results are wrong

6 0

3 years ago