A slow steady rainstorm lasted all day. The rain was falling at a constant rate.

1. Write an equation that relates how much rain has fallen and how long it has been raining.

2. How long will it take for 5cm of rain to fall?

Answer:

20 million vehicles in total

Step-by-step explanation:

25%=1/4

5 million vehicles = 25%

100%/25%=4

5 million * 4 = 20 million vehicles in total

Answer: 5xy-x2t+2xy+3x2t Final result : x • (2xt + 7y) Step by step solution : Step 1 :Equation at the end of step 1 : ((5xy-((x2)•t))+2xy)+(3x2•t) Step 2 : Step 3 :Pulling out like terms : ...

Step-by-step explanation:

Answer:

2  [tex]x^{2}[/tex] + 7 x y

Step-by-step explanation:

Answer:

The answer is c I hope this helps

Answer:

a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000

 b) $83,421.88

 c) s[n] = 70000·1.05^n -20000

Step-by-step explanation:

a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...

 s[0] = 50000 . . . . the recursion relation initial condition

The next year, the salary is multiplied by 1.05 and 1000 is added:

 s[1] = 1.05·s[0] +1000

This pattern repeats, so the recursion relation is ...

 s[n] = 1.05·s[n-1] +1000

__

c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).

The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...

 base salary after n years = 50,000·1.05^n

The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:

 sum = a1(r^n -1)/(r -1) . . . . . (see note below)

 sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)

So, the total salary after n years is ...

 s[n] = 50000·1.05^n + 20000(1.05^n -1)

The exponential terms can be combined, so we have the explicit formula ...

 s[n] = 70000·1.05^n -20000

__

b) The year 2025 is 8 years after 2017, so we want to find s[8].

 s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000

    = 103,421.88 -20000 = 83,421.88

In 2025, the employee's salary will be $83,421.88.

_____

Note on the sum of the add-ons

A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....

The sum of such a geometric sequence has the formula

 Sn = a1·(r^n -1)/(r -1)

Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as

 Sn = 20000·(1.05^n -1).

Answer:

9 hours

Step-by-step explanation:

Firstly,

Minus $123.10 with $34

123.10-34

= 89.10

(bcuz $34 is the reservation fee)

Secondly,

Divide $89.10 with $9.90 to determine the hours

t = 89.10/9.90

= 9

Last answer = 9 hours

Answer:

Disabilities or Special Needs, Race or Ethnicity

Step-by-step explanation:

these are categories, while the rest are numbers

According to the given data, the categorical (or qualitative) variables are Disabilities or Special Needs, Race or Ethnicity.

A qualitative variable is a categorical variable which is not numerical, it is based on quality that describes the characteristic of an individual.

"In clinical diagnostic and functional development, special needs refers to individuals who require assistance for disabilities that may be medical, mental, or psychological."

"The belief that some races of people are better than others; unfair ways of treating people of different races"

"An ethnic group or an ethnicity is a grouping of people who identify with each other on the basis of shared attributes that distinguish them from other groups."

As we know each discussed variable Disability or Special Needs, Race, and Ethnicity describes the characteristics of an individual. Hence, Disabilities or Special Needs, Race or Ethnicity are the qualitative variables.

To learn more about qualitative variables here

https://brainly.com/question/18296158

#SPJ3

Answer:

2700 square feet

Step-by-step explanation:

5+4=9x300=2700

Answer: where is the rest of the problem

Step-by-step explanation:

-$107.85

Answer:

4. Ty    5. Store A

Step-by-step explanation:

4. 750/3 is 250,  800/4 is 200, and 950/5 is 190 so i think it would be Ty

         Andre           Rick                        Ty

5. for Store A- 4 pairs of jeans is $120 so if you divide that which is 120/4 it gives you 30 so it would mean your paying $30 for each pair of jeans

for Store B- 2 pairs of jeans  will cost you $100 so if you add 50+50 it gives you a hundred so it means your paying $50 for each pair of jeans

for Store C- 3 pairs of jeans is $99 so if you divide 99/3 its 33 which means you would be paying $33 dollars for each pair of jeans

so out of all of then Store A gives you the best deal.

Answer:

If you WANT to divide pi, there is half a pi left.

Step-by-step explanation:

There are 2pi radians in a circle. So one quarter of the circle corresponds to half of pi (If you want to divide to get half of pi) . So it would then be: one quarter corresponds to a half.

(if that makes sense! sorry if it doesn't :\ )

Step-by-step explanation:

y=(3/2)x +8

that is the answer

The equation of the line is y = (3/2)x + 8 if  the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The line that passes through (-8, - 4 ) and ( -6, - 1)

The standard form of the line in slope-intercept form:

y = mx + c

Here m is the slope of the line

c is the y-intercept.

As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{-1-(-4)}{-6-(-8)}[/tex]

m = 3/2

y = (3/2)x + c

Plug x = -8, y = -4

-4 = (3/2)(-8) + c

c = 8

y = (3/2)x + 8

Thus, the equation of the line is y = (3/2)x + 8 if  the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

The value of each digit in a number is known as the place value. The number 245,382 to the nearest hundred place value is 245,400.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

The given number 245,382 can be rounded off to the nearest given place values as,

A.) hundred

The hundred is the third place in any number from the right end since the second value is 8 which is close to 10, therefore, the hundred place value will be rounded off to the next number.

245,400

B.) ten-thousand

The ten-thousand is the fifth place in any number from the right end since the fourth value is 5 followed by 382 which is more close to 50,000 than 40,000 , therefore, the ten-thousand place value will be rounded off to the next number.

250,000

C.) ten

The ten is the second place in any number from the right end since the first value is 2 which is close to 0, therefore, the ten place value will be the same while the first place will become zero.

245,380

D.) thousand

The thousand is the fourth place in any number from the right end since the third value is 3 which is close to 0, therefore, the thousand place value will be the same while the third place and the ahead will become zero.

245,000

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

Answer:

when in doubt choose c

Step-by-step explanation:

Answer: 11/48 cubic feet

Step-by-step explanation:

alright ill try my best to explain

so you use the formula V = 22/21r^2h

where V is volume

r is radius

and h is height of cone

you simply plug in the values given in the question, so

V=22/21*1/2^2*7/8

so the answer would be 11/48 cubic feet

Answer:

False

Step-by-step explanation:

-24-(-18) is -6 not 6 so it would be untrue

Answer:

x = 45

Step-by-step explanation:

180-136 = 44

x - 1 = 44

x = 44 + 1

x = 45

x = 45°

Step-by-step explanation:

The two angles are supplementary so

[tex]136° + (x-1) = 180°[/tex]

[tex]\Rightarrow x - 1 = 44°[/tex]

or

[tex]x = 45°[/tex]

Answer:

200

Step-by-step explanation:

dude ur in college how do you not know this?

Step-by-step explanation:

the area =

[½(8+2)×4] + [½×3.14×1²]

= 20 + 1.57

= 21.57

= 21.6

Answer:

a. 115 degrees

b. 35 degrees

c. 30 degrees

Step-by-step explanation:

Answer:

He will make $54

Answer:

No pictures so can't help ya.

Answer:

x^3 + 3x^2 + 4x = 0

0^3 + 3(0)^2 + 4(0) = 0

Step-by-step explanation:

x = 0

[tex]x = \pm \sqrt{6}[/tex]

Answer:

d=140

v=60

140.60=8400 its m

i think it’s 4/11

check out my other answers and mark me brainliest please !!!!

The probability of rolling a 4 on the die 4 times out of the total 11 times that it was rolled is; 0.0007716

We are given;

Number of times dice is rolled = 11

Now, on a die, there are 6 numbers and as such probability of getting a 4 is; P(getting a 4) = 1/6

Thus;

probability of rolling a 4 on the die 4 times = (1/6)⁴

⇒ 0.0007716

Read more about Probability at; https://brainly.com/question/251701

Answer:

k=2

Step-by-step explanation:

2x-8y+k/2=0

puting the values of x and y

2*2-8*1+k/2=0

4-8+k/2=0

-4+k/2=0

k/2=4

sing changes if side changed

k=4/2

k=2

We first substituted the X and Y in the equation, so 2 instead of X and 1 instead of Y.

Then I moved the K to make it the subject of the equation by algebra which gave me a -K, but I want k not negative k so I multiplied everything by -1 because, -1 × -1= +1 so K=2.

Answer:

∠8 is 105° and ∠7 is 75°

Step-by-step explanation:

Angles 4 and 8 are corresponding angles, and are congruent.

Angles 8 and 7 are a linear pair

Answer:

-2.5, 0.75

Step-by-step explanation:

When we need to find a solution to a system of equations using a graphing tool, we graph those two equations and find the point of intersection.

This is an informative article on how to do that:

https://www.dummies.com/education/graphing-calculators/how-to-find-points-of-intersection-on-the-ti-84-plus/

The amount spent on calls per minute is an illustration of unit rates.

The amount spent on the 38-minute call is $113.62

The given parameters are:

[tex]\mathbf{Rate = \$2.99/minute}[/tex]

[tex]\mathbf{Time = 38\ minutes}\\[/tex]

So, the amount spent on call is:

[tex]\mathbf{Amount = Rate \times Time}[/tex]

This gives

[tex]\mathbf{Amount = \$2.99/minute \times 38\ minutes}[/tex]

Cancel out minutes

[tex]\mathbf{Amount = \$2.99 \times 38}[/tex]

[tex]\mathbf{Amount = \$113.62}[/tex]

Hence, the amount spent on the 38-minute call is $113.62

Read more about unit rates at:

https://brainly.com/question/18065083