Renting a car costs $55 plus $0.45 per mile, m. Write an
algebraic expression to represent the total cost of renting a car.

The initial mortality rate in 1998 per 100,000 people is :

88.8 deaths

To find the initial mortality rate in 1998, you'll need to use the given relation :

M = 88.8(0.9418)^t, where M is the number of deaths per 100,000 people, and t is the number of years since 1998.

Identify the value of t for 1998. Since 1998 is the starting year, t = 0.

Substitute the value of t into the equation. M = 88.8(0.9418)^0

Calculate M. Since any number raised to the power of 0 is 1, the equation becomes M = 88.8(1), which simplifies to M = 88.8.

So, the initial mortality rate in 1998 is 88.8 deaths per 100,000 people.

To learn more about mortality rate visit : https://brainly.com/question/26105007

#SPJ11

A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Learn more about the standard error here:

brainly.com/question/16555520

#SPJ4

Answer: A. they will have too much butter

Step-by-step explanation: to much

The 95% confidence interval of 6.5 to 7.5 indicates that there is a 95% probability that the true mean pain rating in the population lies within this range.

The 95% confidence interval of 6.5 to 7.5 indicates that there is a 95% probability that the true mean pain rating in the population lies within this range. This means that if the same sample of participants were randomly selected and tested multiple times, 95% of the time the mean pain rating would fall between 6.5 and 7.5. It does not necessarily mean that the true mean pain rating in the population is definitely between 6.5 and 7.5 or that the mean pain rating would be exactly .5 points away from the true mean pain rating in the population. The confidence interval is an estimate of the true mean pain rating in the population, but it is not an exact value. This means that there is an inherent level of uncertainty associated with the confidence interval and that it can not be used to make definitive statements about the true mean pain rating in the population.

Learn more about confidence interval here

https://brainly.com/question/24131141

#SPJ4

Answer: ≤7 tickets.

Step-by-step explanation:

Robin can go to the movies less than or equal to 7 times this month.

Robin was given a $40 monthly allowance. She wanted to save 12.50% of that $40. 12.50% of 40 is 5. (X/40 = 12.50/100. Cross multiply. X=5)

Each movie ticket is $5. In order to save $5 or 12.50%, Robin can only buy $35 dollars worth of tickets (or 7 tickets).

So, the inequality is ≤7.

The expression for N(t) in terms of t and e is N(t) = N0 * e^(kt). Therefore, the population will be approximately 35,192 people in 5 years.

a)The exponential law states that if a population has a fixed growth rate "r," its size after a period of "t" years can be calculated using the following formula:

N(t) = N0 * e^(rt)

Here, the initial population is N0. We are also given that the population follows the exponential law.

Hence we can say that the population of a southern city can be expressed as N(t) = N0 * e^(kt).

Thus, we can say that the expression for N(t) in terms of t and e is N(t) = N0 * e^(kt).

b)Given that the population doubled in size over 23 months, the growth rate "k" can be calculated as follows:

20000 * e^(k * 23/12) = 40000e^(k * 23/12) = 2k * 23/12 = ln(2)k = ln(2)/(23/12)k ≈ 0.4021

Substituting the value of "k" in the expression for N(t), we get: N(t) = 20000 * e^(0.4021t)

After 5 years, the population will be: N(5) = 20000 * e^(0.4021 * 5)≈ 35,192.

Therefore, the population will be approximately 35,192 people in 5 years.

Learn more about exponential law  here:

https://brainly.com/question/30339794

#SPJ11

Answer:

do math

Step-by-step explanation:

The greatest possible speed that Oleg could have bicycled that day is 13 miles per hour.

Let's call the total distance that Oleg jogged z. Then z = 2x.

The total distance that Oleg bicycled was 30 - z - 2. Let's call this distance w. Then w = 30 - 2x - 2.

Since Oleg bicycled for 2 hours, the speed that he bicycled was w / 2. So, w / 2 = y.

Substituting the expressions for z and w, we have:

y = (30 - 2x - 2) / 2.

Since y must be the greatest possible speed that Oleg could have bicycled that day, x must be the smallest possible value.

Since Oleg jogged for 2 hours, the minimum value of x is 2 / 2 = 1.

Substituting x = 1 into the expression for y, we have:

y = (30 - 2 * 1 - 2) / 2 = (26) / 2 = 13.

So, the greatest possible speed that Oleg could have bicycled that day is 13 miles per hour.

learn more about linear equation: https://brainly.com/question/28732353

#SPJ1

Answer: 60

Step-by-step explanation:

You have to use Pythagorean Theorem because the other side is not listed of the triangle

Pythagorean Theorem: a² + b² = c²

a²  + 20²  = 25²

a²  + 400 = 625

625-400 = a²

a²  = 225

Find the square root of 225 to find the missing length

\(\sqrt{225}\) = 15 (this is the missing length for QS

To find the perimeter, add all the sides...

15 + 20 +25 = 60

Complete question

Shop A _________________ shop B £3

Any sandwich - £2.85 ___ sandwich, water crisp

A bottle of water - 60p

A bag of crisp - 85p

Answer:

£6.50, John is incorrect

Step-by-step explanation:

Number of working days = 5 = number of days meal is purchased

Total cost per meal, shop A :

£(2.85 + 0.60 + 0.85) = £4.3

Total cost for the week = 4.3 * 5 = £21.50

Total cost per meal cost Shop B = £3

Total cost for the week = 3 * 5 = £15

Difference :

£21.50 - £15 = £6.50

Hence, Amount John saves by buying from shop B is £6.50

Numbe

I HOPE IT HELPED

Answer/Step-by-step explanation:

2x-5y=9

Add 5y  to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

\(\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}\)

Cancel the common factor of 2.

Divide x by 1.

\(x=\frac{9}{2} +\frac{5y}{2}\)

\(y=\frac{-9}{5} +\frac{2x}{5}\)

----------------------------------------------------------------------------------------------------------------

3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

\(\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}\)

Cancel the common factor of 3.

Divide x by 1.

\(x=\frac{2}{3} +\frac{4y}{3}\)

\(y=\frac{-1}{2} +\frac{3x}{4}\)

(a) The expression for the width of the rectangle is 7x + 1.

(b) The expression for the perimeter of the rectangle is 14x + 14.

(c) when x = 1/2, the perimeter of the rectangle is 21 in

The area of a rectangle is given by the formula:

A = L × W

where L and W are the length and width of the rectangle respectively

(a) Since A = 42x + 6 sq inches and L = 6 in. We have:

42x + 6 = 6 × W

42x + 6 = 6W

6W = 42x + 6    (divide through by 6)

W = 7x + 1 in

Thus, the expression for the width of the rectangle is 7x + 1

(b) The expression for the perimeter of the rectangle

The perimeter of a rectangle is given by the formula:

P = 2(L + W)

P = 2(6 + 7x + 1)

P = 2(7 + 7x)

P = 14x + 14 in

(c) when x = 1/2

P =  14x + 14

P = 14×(1/2) + 14

P = 7 + 14

P = 21 in

Learn more about area of rectangle on:

brainly.com/question/25292087

#SPJ1

Answer:

25.875

Step-by-step explanation:

6*3+8-1/8

18 + 8 - 1/8

25.875

Answer:

x = 30

Step-by-step explanation:

These angles are all supplementary (they all add up to 180) so:

x + 3x + 2x = 180

6x = 180

x = 30

The amount of each semi-annual interest payment on the bond is $5,100 (second option)

A bond is a debt instrument that is used by companies or the government to raise capital needed for its operation. A person who buys a bond is known as a bondholder.

A bondholder is entitled to regular interest payment. The interest paid to the bondholder is a function of the par value of the bond and the market interest rate. At the maturity of the bond, the bondholder is paid back the par value of the bond.

Interest payment = par value of the bond x interest rate x (1.number of times the interest is paid)

Interest payment = $170,000 x 0.06 x 1/2

Interest payment = $5,100

To learn more about bonds, please check: https://brainly.com/question/15970444

#SPJ1

Answer:

uhh... that is impossible to know since we don't know the value 'y'

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given that lim h(x) = -inf as x = c- and lim h(x) = inf as x = c+, the statement that best describes the existence of an asymptote at c is "There must be a vertical asymptote at x = c." Therefore, the correct option is option 1.

The reasoning for this conclusion is as follows:

1. The limit of h(x) approaches negative infinity as x approaches c from the left (c-), indicating that the function becomes increasingly large in the negative direction.

2. The limit of h(x) approaches positive infinity as x approaches c from the right (c+), indicating that the function becomes increasingly large in the positive direction.

3. Since the function exhibits extreme behavior on both sides of x = c, there must be a vertical asymptote at x = c, which is a line where the function is undefined and the values of the function approach infinity as x approaches the asymptote.

Hence, the correct answer is option 1: There must be a vertical asymptote at x = c.

Learn more about Vertical asymptote:

https://brainly.com/question/4138300

#SPJ11

Answer:

lmk if i am incorrect

Step-by-step explanation:

78/100 is .78

there is a 78 percent chance that a woman has a pet

Answer:

let the number = x

two more than the number = ( x + 2 )  

product of the number and ⅞ = ⅞x

if you add 15 to ( x + 2 ) the result will ⅞x

( x + 2 ) + 15 = ⅞x

8x + 16 +  120 = 7x

x = -136

Step-by-step explanation:

The answer is d

because you're waiting too long.

Answer:

0.81,74%,5/8,31/50

Step-by-step explanation:

74% means 74/100 which equals to 0.74, and 5/8 is 0.625, and lastly 32/50 is 0.62 so it leaves us with 0.81 as the greatest so we can start ordering them

0.81,74%(0.74),5/8(0.625), 31/50(0.62)

Answer:

The complement of 46° = 44°

The supplement of 82° = 98°

Step-by-step explanation:

Complement means 90° - the angle (46°).

So, 90° - 46° = 44°

Supplement means 180° - the angle (82°)

So, 180° - 82° = 98°

The complement of 46° = 44°

The supplement of 82° = 98°

Complementary angles are two angles that have a sum of 90°.

Supplementary angles are two angles that have a sum of 180°.

According to the question

a. An angle measures 46°.

The measure of its complement :

The meaning of complementary angle is two angles that add up to 90 degrees.

Complementary angles = sum of two angles = 90 degrees.

x° = y° + z°

90° =  y° + z°

Given y° = 46°

z° = 90° -  y°

z° = 90° -  46°

z° = 44°

The measure of its complement is 44°.

b. An angle measures 82°.

The meaning of supplementary angle is two angles that add up to 180 degrees.

Supplementary angles = sum of two angles = 180 degrees.

a° = b° + c°

180° =  b° + c°

Given  b° =  82°

c° = 180° -  b°

z° = 180° -  82°

z° = 98°

The measure of its supplement is 98°.

Find out more information about complementary and supplementary angles here

brainly.com/question/2882938

#SPJ2

The object fell from a height of approximately 7.057 meters above the ground.


We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:

H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.

Learn more about Acceleration here: brainly.com/question/29761692
#SPJ11

Step-by-step explanation:

I got 47.5 for this, not sure if its right though.

Answer/Step-by-step explanation:

Travis =Divide 12/0.75 = 16

Heidi = Divide 11/0.8=13.75

16-13.75=2.25

Hence, Heidi Drove faster and faster by 2.25

Answer: Travis, he rode 9 miles

Step-by-step explanation: This was my answer on my end.

The dividend discount model calculates the cost of common equity based on the present value of expected future dividends .the cost of common equity is 9.68% (rounded to two decimal places)

The cost of common equity can be calculated using the dividend discount model. The dividend discount model is a technique that values the stock price based on the present value of expected future dividends. The formula for the dividend discount model is:

\($$P_0 = \frac{D_1}{r-g}$$\)

where P0 is the current stock price, D1 is the expected dividend for next year, r is the required rate of return, and g is the dividend growth rate. To calculate the cost of common equity, we need to solve for r.

Given:Shares of Sarah Corporation pay an annual dividend of $1.25, D1.This dividend grows at a rate of 4% per year.If the shares trade at $22, what is the cost of common equity?Solution:From the given information,

D1 = $1.25, g = 4%, and P0 = $22.Substituting the values into the dividend discount model formula, we get:\($$22 = \frac{1.25}{r - 0.04}$$\)

Multiplying both sides by r - 0.04, we get:

\($$22(r - 0.04) = 1.25$$$$22r - 0.88\)

\(1.25$$$$22r = 2.13$$$$r\)

\(= \frac{2.13}{22}$$$$r = 0.0968$$\)

Therefore, the cost of common equity is 9.68% (rounded to two decimal places).

To know more about present value Visit:

https://brainly.com/question/28304447

#SPJ11

Answer:

Yesss, that's correct!

Step-by-step explanation:

Good luck!!!!

Answer:

25

Step-by-step explanation: