Last year, Dan opened an investment account with $7800. At the end of the year, the amount in the account had increased by 29.5%. How much is this increase
In dollars? How much money was in his account at the end of last year?

Answers

Answer 1

Answer:

10,101

Step-by-step explanation:

Percent (%) means 'out of one hundred'

29.5%= 29.5/100 'out of one hundred'

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

How to increase the number 7,800

by 29.5% of it's value?

1.) Calculate the new value of the number increased by the percentage of it's initial value

The new value=

7,800+ The value of the percentage increase=

7,800 + (29.5% x 7,800) =

7,800 + 29.5% x 7,800=

(1 + 29.5%) x 7,800=

(100% + 29.5%) x 7,800=

129.5% x 7,800

129.5 ÷ 100 x 7,800=

129.5 x 7,800 ÷ 100=

1,010,100 ÷ 100=

10,101

-••-••-••-••-••-••-••-••-••-••-••-••-••-••-••-••-••-••-••-••-••-

I hope this was helpful!


Related Questions

a rectangular garden has a length that is six feet more than twice its width. it takes 120 feet of fencing to completely enclose the garden's area. write an equation that could be used to find the width of the garden. clearly define your variable.

Answers

Length (L) = 42

Width (W) = 18

and the equation which helps to find the width of the garden is

                       L = 6 + 2W

Now, we have to find the length and width of the garden area.

It is given that,

we know that the Length is 6 feet more than twice the width, this in other words, it means that:

                                         L = 6 + 2W       -------------------------(1)

So, let's denote W as X

The perimeter of the garden is 120 and the expression to calculate is:

                                         P = 2W + 2L      ------------------------(2)

Replacing all the values in the above expression we have the following:

                                     120 = 2x + 2(6 + 2x) ---------------------(3)

Solving for x from the above equation (3), we have:

⇒120 = 2x + 12 + 4x

⇒120 - 12 = 6x

⇒108 = 6x

⇒x = 108/6

⇒ x = 18

So the Width is 18, therefore the Length from equation (1):

                L = 6 + 2(18)

             ⇒L = 6 + 36

             ⇒L = 42

Learn more about  Perimeter:

https://brainly.com/question/6465134

#SPJ4

Cora is playing a game that involves flipping three coins at once. Let the random variable hhh be the number of coins that land showing "heads". Here is the probability distribution for hhh:.

Answers

Cora is flipping three coins at once. The probability that the number of landed coins showing "heads" is less than 3 is 0.875

Probability is a measure how likely an event occurs. Probability of an event A is calculated as:

P(A) = number of ways A can occur / total possible outcomes

Let A and B be independent events, then the followings hold:

P (A and B) = P (A∩B) = P(A) + P(B)

P (A or B) = P (A∪B) = P(A) · P(B)

P (not A) = P(Ā) = 1 - P(A)

In the given problem, H is an event where the number of landed coins showing heads.

The probability distribution for H is:

P(H = 0) = 0.125

P(H = 1) = 0.375

P(H = 2) = 0.375

P(H = 3) = 0.125

The probability of three coins show heads less than 3 is:

P(H < 3) = 1 - P(H=3)

             = 1 - 0.125 = 0.875

It can also be obtained using:

P(H<3) = P(H=0) + P(H=1) + P(H=2)

           = 0.125 + 0.375 + 0.375

           = 0.875

Hence, the probability of three coins show heads less than 3 is 0.875.

Complete question:

Cora is playing a game that involves flipping three coins at once. Let the random variable H be the number of coins that land showing "heads". Here is the probability distribution for H:

P(H = 0) = 0.125, P(H = 1) = 0.375, P(H = 2) = 0.375, P(H = 3) = 0.125. What is the probability H is less than 3.

Learn more about probability here:

https://brainly.com/question/29313728

#SPJ4    

September 2022 1 Thursday Twelve large bottles of water cost $9 . What is the cost per bottles of water

Answers

Answer:

75 cents

Step-by-step explanation:

If 12 bottles cost $9, in order to find the cost of one bottle we must divide the cost by the number of bottles.

[tex] \frac{9}{12} = 0.75[/tex]

therefore the cost of one bottle is 75 cents

~Hi ❣️ -----------The black graph is the graph of y=f(x). Choose the equation for the red graph. First correct answer gets brainliest!

Answers

Answer:

ummm im going to guess c.

Step-by-step explanation:

Help fast pleaseee thank u

Answers

The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow is 57%.

What is relative frequency?

This refers to how many times a particular type of occasion takes place within the total number of observations. This type of frequency uses percentages, fractions, and proportions.

Formula for calculating Relative Frequency:

Relative Frequency =         Count of event

                                   Total number of Observation

From the question:

No of students that like Gym Juice in Elim School =5

No of students that like Energy Flow in Elim School =10

Total Number of students in Elim School =15

No of students that like Gym Juice in Cook Middle School =15

No of students that like Energy Flow  in Cook Middle School =20

Total Number of students in  Cook Middle School  =35

Calculating The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow:

Relative Frequency =         Count of event

                                   Total number of Observation

Relative Frequency =       20

                                          35

                                    =0.57 or 57%

Learn more about the relative frequency on

https://brainly.com/question/24231107

#SPJ1

A rival company offers you an annual salary of $36,000. Except for the pay, everything is identical between the companies. Do you accept or reject the rival company's offer, and why?

Answers

I will have to reject the offer of the rival company since it's lesser than $40560.

How to calculate the amount

From the information, the person works a basic week of 40 hours and the basic rate is $19.50 per hour. It should be noted that there are 52 weeks in a year. The total amount will be:

= 40 × 19.50 × 52

= $40560

The rival company offers you an annual salary is $36000.

I'll reject the rival company's offer since it's lower.

Learn more about salary on:

brainly.com/question/25273589

#SPJ1

Complete question

You work a basic week of 40 hours and your basic rate is $19.50 per hour. A rival company offers you an annual salary is $36.000. Except for the pay, everything is identical between the conpanies. Do you accept or reject the rival company's offer, and why?

a car travels a distance of 60 miles at an average speed of 30 mph. how fast would the car have to travel for the same 60 mile distance home to average 60 mph over the entire trip?

Answers

It is impossible to travel for the same 60-mile distance home to average 60mph over the entire trip.

car travels a distance of 60 miles long and averages 30 miles per hour. As a result,

time = distance/speed = 60/30 = 2

the car traveled for 2 hours.

The car would have to travel for exactly 2 hours (120/60) to average 60 mph over 120 miles.

Because the car has already traveled for two hours, it is impossible for it to average 60 mph for the duration of the journey.

To learn more about averages:

https://brainly.com/question/24057012

#SPJ4

I don't know what I'm suppose to do.

Answers

The equation of a line is y = mx +b

m = slope - which is equal to 1

x = x coordinate

b = y intercept (where the line hits the y axis)

y = y coordinate.

The point (2, 0) shows that when x = 2, y = 0. So we can plug that into the equation:

0 = 1(2) + b

0 = 2 + b

0 - 2 = 2 -2 +b

-2 = b

So the equation of the line is y = x - 2

I hope this helps!

a study was made on the effects of several health additives for a number of elite runners, the results of a one-way anova are presented in the following table. how many additives were in the study? source df sum of squares ms between 3 55.00 within 15 450.50 total 18 505.50

Answers

A total of 14 additives were included here in a study of the effects of various health additives on various top runners.

One-Way ANOVA Test :;Uses one-way analysis of variance (ANOVA) to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups.

Need of One way ANOVA :

When working with individuals, this situation can be encountered using two different types of study designs group. Then have each group perform a different task and measure the outcome/response to the same dependent variable. In the given problem, the term "Between" in the source table refers to processing. The term "within" refers to the error term. The inner term represents the variability that exists between runners. The total number of

additives is one more than his total number of

degrees of freedom (df). Total degrees of freedom for = N – 1. Total degrees of freedom = 18,so N= 19

Hence, total additives for given study is 19.

To learn more about One way ANOVA test , refer:

https://brainly.com/question/24304095

#SPJ4

Complete Question:

study was made on the effects of several health additives for a number of elite

runners. The results of a One-Way ANOVA are presented in the following table.

how many additives were in the study?

Source। Df Sum of Squares MS

Between 3 55.00

Within 15 450.00

Total 18 505.50

A. 18

B. 19

C. 7

D. 8

Simplify:1/6x+42+2/5x-8/3x-19

Answers

Answer:

C; -21/10X + 23

Step-by-step explanation:

Combine like terms and simplify


An old-fashioned gardener measures the height of a plant as 6 3/8 inches. A week later the height is measured as 8 3/5 inches. How much did the plant grow during the week?​

Answers

The plant grew by 2 9/40 inches during the week.

What is mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Initial height of plant = 6 3/8 inches

Final height = 8 3/5 inches

Difference in height = 8 3/5 inches - 6 3/8 inches

converting the mixed fraction to improper fraction

8 3/5 = 43/5

6 3/8 = 51/8

43/5 - 51/8

multiply 43/5 by 8/8 and 51/8 by 5/5 so that both fractions have common denominator, it becomes

344/40 - 255/40

Collect only the numerator we have,

344- 255 = 89 which is no 89/40

divided by 40, we have 2 9/40 inches

In conclusion, the plant grew by 2 9/40 inches

Learn more about mixed fraction: https://brainly.com/question/21610929

#SPJ1

               

23. Triangle ABC with vertices A(-7, 1), B(-5, 6), and C(-1, 2): k = 2​

Answers

The coordinates after scaling of triangle ABC will become -

A'(- 14, 2)

B'(-10, 12)

C'(-2, 4)

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle ABC with vertices A(-7, 1), B(-5, 6), and C(-1, 2) and

K = 2​

After scaling, the coordinates will become -

A(x, y) ⇒ A'(Kx, Ky)

The coordinates after scaling of triangle ABC will become -

A'(- 14, 2)

B'(-10, 12)

C'(-2, 4)

Therefore, the coordinates after scaling of triangle ABC will become -

A'(- 14, 2)

B'(-10, 12)

C'(-2, 4)

To solve more questions on triangles, visit the link below-

brainly.com/question/25950519

#SPJ1

In AMNO, o = 9.4 inches, n = 1.8 inches and ZN=39°. Find all possible values of 20,
to the nearest 10th of a degree

Answers

Answer:

No Possible Triangle

Step-by-step explanation:

Sine cannot be greater than 1

No Possible Triangles

Someone please help also can someone tell if the second one is right

Answers

a. g(x) is a function that is an output multiple of 3 of f(x), g(x) is {(1, 6), (3, 15), (5, 3)}.

b. g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(x) that is {(1, 2), (3, 5), (5, 1)}.

Now g(x) is a function that is an output multiple of 3 of f(x).

∴ g(x) is {(1, 2×3), (3, 5×3), (5, 1×3)}.

g(x) is {(1, 6), (3, 15), (5, 3)}.

g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3 so it is stretched 3 times of the f(x).

learn more about functions here :

https://brainly.com/question/12431044

#SPJ1

If the figures below are similar, find the ratio of the sides of Figure B to Figure A.

Answers

1:3 because the hypotenuse on A is 60 and on B is 20 so 6:2=3:1 but it asking for figure b to a and a is bigger so it’s going from 1:3

Select the correct answer from each dropdown menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator?

Answers

The simplest form of the expression has 4 in the numerator and (x-2) in the denominator.

What are numerator and denominator?

The numerator indicates the total number of selected equal parts. Whereas, the denominator indicates the total number of equal parts.

       We have the expression

     3/(x-2) + (x-2) / (x²-4x+4)

Simplifying   x²- 4x +4  gives (x-2)².

Therefore, we can write the expression as

  3/(x-2) + (x-2)/(x-2)² = 3/(x-2) + 1/(x-2)  

          = 4/(x-2).

Therefore, the simplest form of the expression has 4 in the numerator and (x-2) in the denominator.

To know more about fractions, visit

https://brainly.com/question/17220365

#SPJ1

 

Use the order of operations to evaluate 14+13(10 − 1).

Answers

Answer:

131

Step-by-step explanation:

14+13(10-1)

14+13(9)

14+117

131

Answer:

The solution is 131

Step-by-step explanation:

I think we must prioritize multiplication

14+13(10-1)

= 14+13(9)

= 14+117

= 131

PLS HELP

1) What is the value of x?5(4x+8)=85+5x

2) What is the value of x?x+3x+2x+3(x+1)=30

3)What is the value of x?
3/2-7/4= -9/8

Answers

hiya!

1) Expand to get 20x + 40 = 85 + 5x
Take 5x from both sides, gives 15x + 40 = 85
Take 40 from both sides, gives 15x = 45
Divide both sides by 15, gives x = 3

2) Group like terms to get 6x + 3(x + 1) = 30
Expand the brackets, gives 6x + 3x + 3 = 30
Group again gives 9x + 3 = 30
Take 3 from both sides, gives 9x = 27
Divide by 9 on both sides, gives x = 3

3) Is there supposed to be an x-term in this one?

PLEASE HELP

2. Given AKMN APRT, then answer the following questions. Show all work.

Answers

a.

The congruence statement:

ΔNKM ≅ ΔTPR.

since given ΔKMN ≅ ΔPRT.

KM = PR

MN = RT

KN = TP.

b.

The side is congruent to TR is MN.

TR = MN.

c.

TR = MN

4x - 3 = 25

4x = 25 + 3

4x = 28

divide by 4 on both sides

4x/4 = 28/4

x = 7.

Learn more about the congruence here:

https://brainly.com/question/7888063

#SPJ1

Use the arithmetic sequence 12,15,18,21...
what is the equation of the nth term of the sequence

Answers

Answer:

The equation of the nth term of the sequence is 3n+9.

Step-by-step explanation:

In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are , , .

Answers

In the triangle ABC, the side lengths, in order from the greatest to the least, are : AC > AB > BC.

We are given a triangle. The vertices of the triangle are A, B, and C. The measures of the angles ∠A, ∠B, and ∠C are 36°, 84°, and 60°, respectively. We need to arrange the side lengths in order from the greatest to the least.

The side lengths are proportional to their opposing angles in a triangle. It means that the side opposite the largest angle is the largest side, and vice versa. The angles arranged in descending order are : 84° > 60° > 36°. The angles arranged in descending order according to the vertices are : B > C > A. The order of the lengths of the opposite sides must be the same.

Hence, the side lengths, in order from the greatest to the least, are : AC > AB > BC.

To learn more about triangles, visit :

https://brainly.com/question/2773823

#SPJ1

9a-b-2a-10b simplify this expression
A. -7a+11b
B. 11a+9b
C. -11a-9b
D. 7a-11b
please solve with explanation Q^Q

Answers

Step-by-step explanation:

answer is D

if u like it mrk me as brainliest

Answer: d) 7a-11b

Step-by-step explanation:

First collect all like terms

9a - 2a - 10b - b

= 9a - 2a = 7a

= -10b - b = -11b

Therefore the answer is 7a - 11b (D)

Identity the domain and the range of each function

Answers

a) The domain of the function is {2,3,4,5,6},

The range of the function is {0,1,2,3,4}

b) The domain of the function is {-3,-1,1,3,4}

The range of the function is {1,3,-2,2,6}

Given,

Domain and Range;-

The domain of a function is the set of values that we are allowed to enter into our function. This collection represents the x values in a function like f. (x). A function's range is the set of possible values that it can accept. This collection contains the values that the function returns when we enter an x value.

Here,

a) Domain is the set of x values:

x={2,3,4,5,6}

The range is the set of y values:

y={0,1,2,3,4}

b) Domain is the set of x values:

x={-3,-1,1,3,4}

The range is the set of y values:

y={1,3,-2,2,6}

Learn more about domain and range here;

https://brainly.com/question/29396058

#SPJ1

if you can buy three loaves of bread for 5 dollars, how many loaves can you buy with 12 dollars?

Answers

Answer: 20 loaves

Step-by-step explanation:

3/5 = .6

12/.6 = 20

I’m not 100% sure but this is what I believe is the answer

20 Loaves

61.92x5.50 what is it??????????brguquwdw

Answers

Answer:

Step-by-step explanation:

340.56

Answer:

61.92 x 5.50 = 340.56

Jerry's seed palace claims that 80% of its lima bean seeds will germinate. Suppose the company's claim is true. Callie buys a packet with 20 lima bean seeds from jerry's seed palace and plants them in her garden. What is the probability that exactly 14 seeds will germinate?.

Answers

The probability that exactly 14 seeds will germinate is 0.109

According to the company, 80% of lima bean seeds germinate.

Callie purchases 20 lima beans.

To determine: the likelihood that exactly 14 seeds will germinate.

We use the binomial distribution to obtain the required probability when we need to track the success and failure of multiple objects (multiple Bernoulli trials)

Let X be the random variable that tracks the number of seeds that germinate out of a total of 20 seeds. The success rate is 80%, or 0.8.

Thus X ~ B(20,0.8)

The probability of X = x is given by:

P(X=x) = 20[tex]C_{x}[/tex][tex](0.8)^{x}[/tex][tex](1-0.8)^{20-x}[/tex]

Thus

P(X=14) = 20[tex]C_{14}[/tex][tex](0.8)^{14}[/tex][tex](1-0.8)^{20-14}[/tex]

P(X=14) = 38760 × 0.04398 × 0.000064 = 0.109

The probability that exactly 14 seeds will germinate is 0.109

To learn more about binomial distribution:

https://brainly.com/question/10741251

#SPJ4

1.
Which set of ordered pairs does not represent
a function?
B
A) (4, 1), (6, 2), (7, 5), (9, 2)
(0, 5), (1, 7), (2, 9), (3, 11)
(-2, 5), (0, 2), (9,-6), (8, 7)
D (5, 5), (6, 10), (10, 15), (5, 20)

Answers

D set of ordered pairs does not represent a function.

In the given question we have to check which set of ordered pairs does not represent a function.

The given set of ordered pair

(A) (4, 1), (6, 2), (7, 5), (9, 2)

(B) (0, 5), (1, 7), (2, 9), (3, 11)

(C) (-2, 5), (0, 2), (9,-6), (8, 7)

(D) (5, 5), (6, 10), (10, 15), (5, 20)

As we know that in the function a x value always have only one corresponding y value which means for a value of x have only a y value.

But when we see in the ordered pair D. In this pair have pair (5, 5) and (5, 20). This shows different value of y in same value of x.

So, D set of ordered pairs does not represent a function.

To learn more about ordered pair of function link is here

brainly.com/question/28931422

#SPJ1

how many t-shirts and shorts might dalton have bought? select all that apply.
a- 6 t-shirts and 6 pairs of shorts
b- 7 t-shirts and 5 pairs of shorts.
c- 2 t-shirts and 1 pair of shorts.
d- 2 t-shirts and 0 pairs of shorts.
e- 3 t-shirts and 2 pairs of shorts.

Answers

Answer:

a.

b.

e.

I think I hope this helps

Evaluate Expressions
Nov 12, 10:01:46 AM
Watch help video
What is the value of the expression below when y = 8?
Answer:
2y - 3
Submit Answ

Answers

Answer:

13

Step-by-step explanation:

2y - 3;

y = 8;

 ---> 2*8 - 3 =

16 - 3 = 13

Write equations for lines a, b, c, d, and e.
PLEASE HURRY! I'll give you brainiest pleaseee.

Answers

The equations of lines are given below.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The equation for line a is,

x=-5.

The equation for line b is,

x=5.

The equation for line c is,

y=5.

The equation for line d is,

y=-2.

The equation for line e is

x+y=1

The equations of lines are given above.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ1

Other Questions
3. An inference isA. a guess based on the reader's experience.B. a conclusion based on knowledge.C. a conclusion based on both evidence and reasoning.D. explicitly stated in the text. Parallel structure rewrite 2. Amanda woke up, got dressed, and ran down the street to catch the bus. sauk leader who, with 1,000 followers, attempted to reclaim ancestral lands in illinois in the last indian resistance to the advance of white settlement in the old northwest airlines that offer lower fares on seats shortly before the flights departure date to fill empty seats are utilizing what type of pricing tactic? the gas in a 250.0 ml piston experiences a change in pressure from 1.00 atm to 2.80 atm. what is the new volume (in ml) assuming the moles of gas and temperature are held constant? students were asked which night they planned on attending the book fair. the results of the survey are shown in the table.monday= 55 studentstuesday= 80 studentswednesday= 70 studentsthursday= 112 studentsfriday= 65 students 20% of the students who planned to attend on Wednesday attended on Thursday instead. 25% of the students who planned to attend on Thursday attended on Wednesday instead. which day, Wednesday or Thursday, had a greater actual attendance? by how many students? suppose the price elasticity of supply for crude oil is 0.6. how much would price have to rise to increase production by 12 percent suppose that the world price of steel is $500 per ton. now suppose that the united states imposes a 20% tariff on imported steel (as it did in 2002). what is the u.s. domestic price of steel after the 20% tariff is imposed (rounded to the nearest dollar) if exporters bear two-thirds of the tariff? Details1. 2HCl(aq) + Zn(s) H(g) + ZnCl(aq)You have 100. mL of a .300 M solution of HCI. As the reaction occurs, the volume of solution is unchanged.1. How many grams of Zn were used up?2. How many liters of hydrogen gas at STP were formed?3. What is the molar concentration of the zinc chloride formed?k Consider a circle whose equation is x2 + y2 2x 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x 1) + y = 3. The radius of this circle is the same as the radius of the circle whose equation is x + y = 9. Britton is starting a new internet business by himself. Which of the following business organization formats will he most likely use to start the business? A) Sole proprietorship B) Limited partnership C) Limited liability partnership D) Corporation E) Limited liability company Which of the following is true about filling out a job application? Select all that apply. O do not leave any blank spaces 0 exclude information about being fired from a job O only submit handwritten job applications Ouse neat handwriting Owrite in a list of references How are rigid transformations used to justify the SAS congruence theorem?(Need it right now fr fr) Please answer all of section 4! (In french)! The Fertile Crescent was an area of great technological development in ancienthistory. How did technology advance the Cradle of Civilization? How is technologycurrently impacting the region? What are the costs and benefits of technology? Which of the following best describes the electoral college?a. A group of electors who represent each state c. A group of electors who represent each stateand meet every two years to elect membersof the House of Representatives and theSenate.and meet every four years to vote for thePresident and Vice President.b. A group of electors who represent each state d. A group of electors who represent each stateand meet every seven years to elect theSupreme Court Justices.and meet every six years to vote for thegovernor of each state. Which equation represents the same line as the points in the table?y=4x+6y is equal to 4 x plus 6y=2/3x4y is equal to 2 thirds x minus 4y= 2x+6y is equal to negative 2 x plus 6y= 4x+2/3 PLEASE HURRY!!The two figures are similar. Find the ratios (shaded to nonshaded) of the perimeters and of the areas. although average salaries for teachers in georgia are $3,000 less than the salaries for teachers in hawaii, based on the cost of living index, teachers in georgia rank 4th in the nation compared to hawaii (which ranks 50th). what might cause this to happen? oint c is the center of the circle above. what fraction of the area of the circle is the area of the shaded regio