60 = 5(1.07)^x

initial value:

a. 7%

b. 1.07%

c. 9.3%

d. 5

e. 60


growth or decay?


growth/decay rate?

a. 7%

b. 1.07%

c. 9.3%

d. 5

e. 60

Answers

Answer 1

Given:

The given equation is

[tex]60=5(1.07)^x[/tex]

To find:

The initial value and growth/decay factor.

Solution:

The general exponential growth/decay model is

[tex]y=a(1+r)^x[/tex]     ...(i)

where, a is initial value, if r>0, then |r| is growth factor, if r<0, then |r| is decay factor and x is time.

We have,

[tex]60=5(1.07)^x[/tex]

It can be written as

[tex]60=5(1+0.07)^x[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]a=5\text{ and }r=0.07[/tex]

Here, initial value is 5 and growth factor is 0.07, i.e., 7%.

Therefore, the correct option for first question is d and correct option for second question is a.

Answer 2

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

60 = 5(1.07)^xinitial Value: A. 7%b. 1.07%c. 9.3%d. 5 E. 60growth Or Decay?growth/decay Rate?a. 7%b.

Related Questions

The population of London is currently estimated at 8.156 million.
What is the value of the 5?
I​

Answers

Answer:

The value of 5 is fifty thousand (50,000)

Step-by-step explanation:

8.156 million = 8,156,000

hope this helps!

The value of 5 is 50, 000.

What is place value?

In mathematics, place value refers to the relative importance of each digit in a number. These locations begin at the unit's location (ones place). The place values of a number's digits are expressed in the following order: ones/units, tens, hundreds, thousands, ten thousands, and so on.

Given:

The population of London is currently estimated at 8.156 million.

Expanding 8.156 million.

= 8.156,000

Here the place value of 5 is ten thousand.

Hence, the value of 5 is 50, 000.

Learn more about place value here:

https://brainly.com/question/27734142

#SPJ2

Find the system of inequalities which represents the shaded region on the coordinate plane.

A)y> 2x² + x and y> 1 + x

B)y > 2x² + x and y> 1 - x

C)y> 2x²- x and y> 1 + x

D)y > 2x² - x and y > 1 - x

Answers

Answer:

given, y≥2x+1 and

y>

2

1

x−1

first, draw the graph for equations y=2x+1 and y=

2

1

x−1

for y=2x+1

substitute y=0 we get, 2x+1=0⟹x=−0.5

substitute x=0 we get, y=1

therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.

Hence, y≥2x+1 includes the region above the line.

for y=

2

1

x−1

substitute y=0 we get,

2

1

x−1=0⟹x=2

substitute x=0 we get, y=−1

therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.

Hence, y>

2

1

x−1 includes the region above the line.

the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.

Therefore, quadrant IV has no solution please make as brainlelist

-9 = a - 3 - a

Solve the equation

Thanks

Answers

Answer:

No solution

Step-by-step explanation:

-9 = a - 3 - a

-6 = a - a

-6 [tex]\neq[/tex] 0, -6 doesn't equal 0 so no solution

No possible solution.

2.Marino paid a total of $706 for his accommodation in Seoul, South Korea. He will be spending 7 nights at his hotel.
a) Write an equation to help Marino figure out how much money he was charged in fees.
b) Determine the amount of money he was charged for fees.

Answers

Answer:

$4942

Step-by-step explanation:

a.A day accommodation=$706

7 days accommodation=$706x7days

Answer=$4942

b

What is the slope of the line? i-Ready Lesson Linear Equations and Slope Level H

Answers

Answer:

Slope of the line = 2

Step-by-step explanation:

Slope of a line through two points lying on the line [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the figure attached,

Given line is passing through two points (0, 1) and (1, 3).

Therefore, slope of the line will be,

Slope = [tex]\frac{3-1}{1-0}[/tex]

          = 2

The slope of the line given in the graph is -0.5.and this can be determined by using the point-slope form and slope-intercept form.

Given :

The graph of the line.Points - (0,1) and (0.5,0)

To determine the slope of the line, the point-slope form can be used. The point-slope form is given by:

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Now, put the values of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation.

[tex]\dfrac{y-1}{x-0}=\dfrac{0-1}{0.5-0}[/tex]

0.5(y - 1) = -x

[tex]y = -\dfrac{1}{2}x +1[/tex]

Now, compare equation (1) with the slope-intercept form of the line.

m = -0.5

c = 1

So, the slope of the line is -0.5.

For more information, refer to the link given below:

https://brainly.com/question/2263981

Which of the following is not a reason used in this proof?

A) Definition of perpendicular

B) Vertical angles are equal

C) Reflexive

Answers

Answer:

Reflexive

Step-by-step explanation:

Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof

Answer:

Reflexive

Step-by-step explanation:

Mother had 2/3 of a pound of sugar. She used ¼ of it to make a cake. How much sugar did she use?

Answers

Answer:

1/6 lb

Step-by-step explanation:

2/3 * 1/4 = 2/12 = 1/6

suppose an egyptian mummy is discovered

Answers

It haunts every last one of us so it Can time travel back to the time where it’s from and bring it’s population to fill earth and they live happily ever after ...


Until ...


A group of 5 high school students, Emily, Valeria, John, Jaden, and a nerd named James were hiding in the high school basement while the mummy haunted everybody and after it did and left to bring its ancestors ... they all came out ... saw that the world was ruined ... they knew what was coming ... can they stop it? They wondered. “We shall try” said Jaden. The team sets out to find a way to save their people and end this Egyptian, time traveler, wrapped in toilet paper mummy.


Haha sorry ...

Find the sum 5.5+7.25-5.5+(-7.25)

Answers

Answer:Can you find the sum [5.5 + (-2.3)] + (-5.5 + 2.3) without performing any additions? - Slader.

1 answer

Missing: 7.25-5.5 ‎7.25)

Step-by-step explanation:

subtracting 1 to the product of 5 and x gives the same value as adding 10 to the product of 3 and x. what value of x makes the statement true ?

Answers

Answer:17

Step-by-step explanation: You just follow the steps.

A 0.30 kg bird flies in a horizontal curve of radius 20 m at 15 m/s. The force exerted by the air on the bird is about

Question 3 options:

a)

1.7 N

b)

3.48 N

c)

zero

d)

2.9 N

e)

4.5 N

Answers

Answer:

b)  3.48 N approx.

Step-by-step explanation:

The bird will experience a centripetal force, this is the force exerted on a body that moves through a curve path.

[tex]F_c = \frac{mv^2}{r}[/tex]

Fc=centripetal force

m=mass

v=velocity

r=radius

Step one:

given data

mass of bird m=0.3kg

the radius of curve r= 20m

velocity v= 15 m/s

Substituting we have

[tex]F_c = \frac{0.3*15^2}{20}\\\\F_c= \frac{0.3*225}{20}\\\\ F_c=\frac{67.5}{20}\\\\F_c=3.37N[/tex]

The force is 3.37N

2. The hypotenuse of a right triangle

has length 50 cm. One leg has

length 20 cm. To the nearest

tenth, what is the length of the

other leg?

A 30.0 cm

B 45.8 cm

© 49.8 cm

0 539 cm

Answers

9514 1404 393

Answer:

  B.  45.8 cm

Step-by-step explanation:

The Pythagorean theorem is helpful. For legs a, b, and hypotenuse c, it tells you ...

  c² = a² +b²

  50² = 20² +b²

  b² = 2500 -400 = 2100

  b = √2100 ≈ 45.8

The length of the other leg is about 45.8 cm.

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x2 − y2 in the first octant.

Answers

Answer:

hi I don't know the answer but really sorry I did because I needed some points so that I can ask my questions from another people and thank you for free points

there are 18 people at the party. some are boys and some are girls. the number of boys is the same as the number of girls​

Answers

Answer:

9 boys 9 girls

Step-by-step explanation:

18 = 2x

9

What is the smallest possible real value of x^2+8x?

Answers

Answer:   -16

========================================================

Explanation:

Let's complete the square

y = x^2 + 8x

y + 16 = x^2 + 8x + 16 .... adding 16 to both sides

y + 16 = (x+4)^2

y = 1(x+4)^2 - 16

We added 16 to both sides to allow the right hand side to factor into a perfect square.

The last line shown above is in the form y = a(x - h)^2 + k where

a = 1

h = -4

k = -16

Note the positive 'a' value indicates we have a minimum.

The vertex is (h,k) = (-4, -16)

The lowest y value possible is at the vertex.

So the smallest y value is y = -16.

This means the smallest possible value of x^2+8x is -16.

A group of individuals containingbboys andggirls is lined up in a randomorder; that is, each of the (g+b)! permutations is assumed to be equally likely.What is the probability that the person in theithposition (1≤i≤b+g) isa girl?

Answers

Answer:

g/(b + g)

Step-by-step explanation:

We are told the group of individuals contain b number of boys and g number of girls.

Now the number of ways of selecting 1 girl out of g number of girls is;

gC1 = g!/(g - 1)! = (g × (g - 1)!)/(g - 1)!

(g - 1)! will cancel out to give;

gC1 = g

Now, since total number of boys and girls is b + g, and we have chosen one girl out, the remaining number of people will be; b + g - 1.

Thus, number of ways to arrange the remaining people will be;

(b + g - 1)!

Now, the probability that the person in the ith position (1 ≤ I ≤ b+g) is a girl will be;

(gC1 × (b + g - 1)!)/(b + g)!

We know that gC1 = g from earlier derivation.

Expanding this gives;

[g(b + g - 1) × (b + g - 2)!]/[(b + g) × (b + g - 1) × (b + g - 2)!]

(b + g - 1) × (b + g - 2)! will cancel out to give;

g/(b + g)

If 2 pounds of grapes cost $6. 1 pound cost $3. How many pounds will equal $1?

Answers

Answer:

.5 pounds I believe

Step-by-step explanation:

I hope this helps!!!

If 2 pounds = $6
And 1 pound = $3

1/3 of a pound would =$1

List all 6 Congruence statements for the following triangles.

Answers

Answer:

Put the segment mark above each set.

fe is congruent to Rs (do the opposite rs is congruent to fe)

Rs congruent to fe (opposite)

fd is congruent to rt (opposite) I think

Before he started washing windows on weekends, Rob had $20. He earned $60 over each of the first three weekends that he spent washing windows. So far, Rob has not spent any of his money.


If n represents a whole number less than or equal to 3, which function shows the total amount of money Rob had after n weekends of washing windows?


answer choices

A. t(n) = 20 + 60n

B. t(n) = 60 + 20n

C. t(n) = 200n

D. t(n) = 200

Answers

Answer:

A. t(n) = 20 + 60n

Step-by-step explanation:

Since Rob already had $20, the equation should have +20 to represent the money he already had.

60n can represent how much money Rob gets after washing windows, since he earned $60 from each weekend he washed windows.

So, A is the correct answer, t(n) = 20 + 60n

Kaitlin earns $16 per hour tutoring students after school. If Kaitlin tutored for 19.5 hours this month, how much money did she earn this month?

Answers

Answer: Kaitlin earned $312 this month.

Step-by-step explanation:

since it says $16 per hour and she has tutored for 19.5 hours you just simply multiply the two to get your answer because it wants to know how much she earned this month.

Subtract (3x + 5) - (x + 2)?

Answers

Answer:

2x+3

Step-by-step explanation:

Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?

Answers

Answer: 65 people completed graduate school.

Step-by-step explanation:

25% of 260 is 65.

Answer:

is 65

Step-by-step explanation:

Got 26 wrong on test

Graph the inequality below on the number line.
x ≥ -9

Answers

<-----------------------●-->

1-2-3-4-5-6-7-8-9

go to the right

Answer:

-9------------>       (the circle would be filled in, too)

____._____

        0

Step-by-step explanation:

FINANCE

2. Which of the following statements is FALSE?

A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are

Answers

Answer: I think its C

Step-by-step explanation:

What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?

Answers

Complete Question

The proportion of adult women in the United States is 51% (p=0.51).What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?

Answer:

The probability is  [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex]  or  [tex]P( 0.48 < p < 0.54 ) = 77\%[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  400

    The population proportion is  p = 0.51

Generally the standard deviation of this sampling distribution is mathematically represented as

          [tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]

=>      [tex]\sigma = \sqrt{\frac{0.51(1-0.51)}{400} }[/tex]

=>      [tex]\sigma = 0.02499[/tex]

Generally the lower limit for the range of the population proportion within 0.03 is

    [tex]a = p - 0.03[/tex]

=>[tex]a = 0.51 - 0.03[/tex]

=>[tex]a = 0.48[/tex]

Generally the  upper  limit for the range of the population proportion within 0.03 is

    [tex]b = p + 0.03[/tex]

=>[tex]a = 0.51 + 0.03[/tex]

=>[tex]a = 0.54[/tex]

Generally the  probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p) is mathematically represented as

     [tex]P( a < p < b) = P( \frac{a - p }{\sigma } < \frac{\^ p - p }{\sigma} < \frac{b - p}{\sigma } )[/tex]

=>   [tex]P( 0.48 < p < 0.54 ) = P( \frac{0.48 - 0.51 }{0.02499 } < \frac{\^ p - p }{\sigma} < \frac{0.54 - 0.51}{0.02499 } )[/tex]

[tex]\frac{\^ p -p }{\sigma }  =  Z (The  \ standardized \  value\  of \  \^ p )[/tex]

=>   [tex]P( 0.48 < p < 0.54 ) = P( -1.2 < Z < 1.2 )[/tex]

=>   [tex]P( 0.48 < p < 0.54 ) = P( Z < 1.2) - P(Z < -1.2 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.2 and  -1.2  is

     [tex]P( Z < 1.2) =0.88493[/tex]

and  

    [tex]P( Z < -1.2) =0.11507[/tex]

So

   [tex]P( 0.48 < p < 0.54 ) = 0.88493 - 0.11507[/tex]

=>  [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex]

A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

Answers

Answer:

[tex]Distance = 880ft[/tex]

Step-by-step explanation:

Given

[tex]Speed = 20\frac{miles}{hour}[/tex]

[tex]Time = 30\ seconds[/tex]

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

[tex]Speed = \frac{Distance}{Time}[/tex]

Make Distance the subject

[tex]Distance = Speed * Time[/tex]

[tex]Distance = 20 miles/hour * 30 seconds[/tex]

Convert seconds to hour

[tex]Distance = 20 miles/hour * \frac{30}{3600} hour[/tex]

[tex]Distance = 20 miles * \frac{30}{3600}[/tex]

[tex]Distance = \frac{20 miles * 30}{3600}[/tex]

[tex]Distance = \frac{600\ miles}{3600}[/tex]

[tex]Distance = \frac{1}{6} miles[/tex]

Convert to foot

[tex]Distance = \frac{1}{6} * 5280\ ft[/tex]

[tex]Distance = \frac{1* 5280\ ft}{6}[/tex]

[tex]Distance = \frac{5280\ ft}{6}[/tex]

[tex]Distance = 880ft[/tex]

12. What is the value of x ?

Answers

Answer: 4.5

Step-by-step explanation:

Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.

The cat has a mass of 4 kilograms. How many grams is that?
1 kilogram= 1000 grams
4 kilograms= grams

ANSWER: 4000 grams
why: if 1 kilogram is 1000 grams then 4 kilograms is 4000 grams because 4 times 1000= 4000. All you have to do is multiply the 1000 grams and the 4 kilograms, and that’s your answer!!

Answers

Answer:

ummm did you need help or....

Step-by-step explanation:

cause you got the answer right....

Write these numbers from least to greatest.

0.8
0.9
7/8
5/6

Answers

Answer:

0.8 5/6 7/8 0.9

Step-by-step explanation:

5/6 is 0. 83

7/8 is 0.875

Answer: 0.9,0.8,7/8 , 5/6

What is 15% of 40?
02
О 4
05
06

Answers

Answer:

6

Step-by-step explanation:

Multiply 40 by 15%, or 0.15.

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[tex] \frac{15}{100} \times 40 = \\ [/tex]

[tex] \frac{15 \times 40}{100} = \\ [/tex]

[tex] \frac{600}{100} = 6 \\ [/tex]

Thus 15% of 40 is 6 .

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