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3 years ago

1 mile equals 5280 feet and one minute equals 60seconds what speed in feet per second equals 60 mph?

Mathematics

1 answer:

Radda [10]3 years ago

5 0

(60 mi/hr) x (5,280 ft/mi) x (1/60 hr/min) x (1/60 min/sec) =

(60 x 5,280) ft / (60 x 60) sec = 88 ft/sec

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In 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%. The 1987 population

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given that in 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%

Thus the equation for population for country A would be

$P(A) = 87e^{0.035t}$

The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%.

So equation for population for country B would be

$P(B) = 243e^{0.006t}$ where t = time in years and P in millions

a) P(A) = 2*87 when

$2=e^{0.035t}$

Take log and solve

ln 2 = 0.005 t

t = 138.63

Thus after 138 years population will double for A

b) P(A) = P(B) when

$P(A) = 87e^{0.035t}=P(B) = 243e^{0.006t}\\e^{0.035t-0.006t}=\frac{243}{87} =2.793\\0.029t = 1.027\\t= 35.42$

Approximately after 35.5 years the populations of both countries would be equal.

7 0

3 years ago

Read 2 more answers

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Ksju [112]

Answer:

3.162 units

Step-by-step explanation:

First identify the points that undergo transformation

You have;

A = (0,0) and B =(1,3)

The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.

Finding coordinates of the image points A' and B'

A'= (0+2,0+1) = (2,1)

B'=(1+2, 3+1)=(3,4)

Finding the distance A'B'

The formula for distance d is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where

x₁=2

x₂=3

y₁=1

y₂=4

d=distance between two points

Applying the formula

$d=\sqrt{(3-2)^2+(4-1)^2} \\\\\\d=\sqrt{1^2+3^2} \\\\\\d=\sqrt{1+9} \\\\\\d=\sqrt{10} \\\\\\d=3.162$

The distance A'B' is √10 =3.162 units

8 0

3 years ago

Read 2 more answers

A book sold 39,300 copies in its first month of release. Suppose this represents 6.1% of the number of copies sold to date. How

alexdok [17]

Answer:

644,262 copies

Step-by-step explanation:

Since this is a proportion problem, and we are given three values and one variable which is the total number of copies sold to date (x). Then we can use the Rule of Three to solve this problem. To do this we simply multiply the diagonal values and divide by the last value which would give us the value of the variable x

39,300 copies <======> 6.1%

x copies <=======> 100%

(100*39,300) / 6.1 = 644,262 copies

Therefore, a total of 644,262 copies have been sold to date.

4 0

3 years ago

Jose has a policy with $50,000 PIP (Personal Injury Protection) coverage. He causes an

Nastasia [14]

Answer: $7200

Step-by-step explanation:

Given

The policy covers the damage of $50,000 PIP

He injured 10 people including himself

The total cost of injuries is $72,000

The cost per person is $7200

The company only pays for the damaged bear by the policyholder, not by the others.

$\therefore$ the company only pays $7200 in coverage.

8 0

3 years ago

Help? someone plzzzz

malfutka [58]

Answer is a. (2,2)
Because for it to be a function each x value can only have one y value. And in the chart it says x is 2 and 8

6 0

3 years ago