Sophia currently has an account balance of $1,347.11. her initial deposit on the account was $843 and earns 2.3% simple interest. how long has Sophia held the account?

Answers

Answer 1

Answer:

69 years

Step-by-step explanation:

Trust me 69

Related Questions

A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?"

Let c represent the number of cows.

Which equation represents the situation?

c + 2 = 16

2c−2=16

2c + 2 = 16

2(c+2)=16

Answers

Answer: 2c + 2 = 16

Step-by-step explanation:

One group has 2 more than the other.

That means in total, they are the same but + 2.

Only 2c + 2 = 16 represents this.

PLEASE ANSWER THE FOLLOWING 4 QUESTIONS PLEASE BE HONEST

Answers

Answer: Answer

Step-by-step explanation:

The Blue One- 85

The Red One- 47

The Green One- 48

The Pink One- There were 6 penguins swimming in the sea. Two left, then 5 joined. How many penguins are there swimming in the sea now?

6 - 2 + 5 = x

Please let me know if my Math is correct!

4(3x-1) = 5x+66 show all of your work

Answers

X=10 dslslxlxoxoxolzlzlclcoxlzzl

if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?

Answers

Answer:

If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.

Hope this helps!

If 17% of gummy bears are red then how many red gummy bears will be red out of 300?

Answers

Answer: 51

Step-by-step explanation:

17% of 300 is 51

300 x .17 =51.

3) A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients. A) 34 clients B) 41 clients C) 73 clients D) 36 clients

Answers

Answer:

A) 34 clients

Step-by-step explanation:

From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:

75*45%= 33.75→ 34

According to this, the answer is that the number of business clients is 34.

jon used 64.6 of fower to make 8 loafs bread. how much flower did he use to make each loaf of bread

Answers

Answer:

8.075

Step-by-step explanation:

Since john used the flour on 8 different loafs, the best way to solve this would be to use division. You did not specify lbs or any other weight so that's the only answer I can provide.

For a right triangle with coordinates (1,4),(4,4),(1,8), explain why both the distance formula and the Pythagorean Theorem can be used to find the length of the hypotenuse.

Answers

You can use the distance formula to find the length of the hypotenuse which is the distance between the points (4,4) and (1,8). You can also use the Pythagorean theorem by subtracting 8 from 4 to get 4. Points used are (1,8) and (1,4). You then find the difference between the x values of the points (1,4) and (4,4) which is 3 so now you can solve for the hypotenuse C since you have the lengths of the two legs which are 4 and 3. So you could then use a^2+b^2=c^2 which would then turn into 4^2+3^2=c^2 and you just solve that out to get the length of your hypotenuse.

Order these numbers from least to greatest. 37.5%, 1/3, 0.3, 40%, 3/5.

Answers

Answer:

0.3, 1/3, 37.5%, 40%, 3/5

Step-by-step explanation:

Given the numbers 37.5%, 1/3, 0.3, 40%, 3/5, before we can order the numbers from the least to greatest, we need to first express al the values in percentage.

For 1/3;

= 1/3 * 100

= 100/3

= 33.3%

For 0.3:

= 0.3 * 100

= 3/10*100

= 30%

for 3/5;

= 3/5 * 100

= 300/5

= 60%

Hence the numbers in percentage are . 37.5%, 33.3%, 30%, 40%, 60%

The values from the least to the greatest in terms of percentage is 30%, 33.3%, 37.5%, 40%, 60%

In term of the given values from least to greatest is;

0.3, 1/3, 37.5%, 40%, 3/5

Simplify the problem using the distributive property.
2(3x-5)
4- 3(x+1)

Answers

Answer:

2(3x−5)(4)−3(x+1)

Distribute:

=24x+−40+(−3)(x)+(−3)(1)

=24x+−40+−3x+−3

Combine Like Terms:

=24x+−40+−3x+−3

=(24x+−3x)+(−40+−3)

=21x+−43

Answer:

=21x−43

2(3x-5)

6x-10

4-3(x+1)

4-3x+1

-3x+1+4

-3x+5

6x-10-3x+5

6x-3x+5-10

3x-5

hope it helps!

easy - lots of points!!
For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)

Answers

Answer:

2x² + 9x + 9

Step-by-step explanation:

To evaluate f(x + 3) substitute x = x + 3 into f(x), that is

f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL

= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis

= 2x² + 12x + 18 - 3x - 9 ← collect like terms

= 2x² + 9x + 9

Answer: f(5) = 14 should be the answer

A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the
function f(x) = - x4 + 3x3 + 5x2 + 20x + 1.
What is the least number of bouquets that must be sold for the store to make a profit?
3
4
5
6

Answers

Answer:

Step-by-step explanation:

Edgunity

Answer:

5 C

Step-by-step explanation:

even though the zeros are .401 and 4.819 its a real world problem and would only make sense to round. Once u round you have 1 and 5, and since 5 is greater, it must be 5.

5x - 9 = 7x + 6 - 2x

Answers

Answer:

Step-by-step explanation:

−

Since

is on the right side of the equation, switch the sides so it is on the left side of the equation.

−

Subtract

from

−

Move all terms containing

to the left side of the equation.

Tap for more steps...

−

Since

≠

−

, there are no solutions.

No solution

Answer:

x=15

Step-by-step explanation:

5x-9=7x+6-2x

7x-2x=5x

5x-9=5x+6

5x-5x=x

x-9=6

9+6=15

x=15

Prompt: What does Lincoln hope to gain by using the statement, "let us judge not, that we be not
judged"? Justify your answer and support it with information from the source.
Help!!!!!

Answers

Possible Answer:

"Let us Judge not, that we be not judged" I belive it means to not judge others by there Race, Relgion, or Color.

Do not judge people by there races or where they come from .

angle a measure 28 measure and angle b measure 74 what is is the measure of angel F

Answers

Answer:

78 degrees

Step-by-step explanation:

Assuming you are talking about a triangle, you would add 28 and 74 to get 102. Then subtract from 180.

28+74=102

180-102=78

Hope this helps :-)

Answer:

Assuming these are angles of a triangle, angel F should equal 78.

Step-by-step explanation:

All angles of any triangle add up to 180 degrees. 180-28-74=78.

If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.

Answers

7 = 14.70

15= X

so : X = 15*14.70 /7 = 31.5

15 liters of petrol cost 31.5

The cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50

To calculate the cost of 15 liters of petrol if 7 liters of petrol cost $14.70,

First, we will determine the cost of 1 liter of petrol.

From the question,

7 liters of petrol cost $14.70

That is,

7L = $14.70

Then,

1 L = $14.70 ÷ 7

1 L = $2.10

∴ The cost of 1 liter of petrol is $2.10

Now, for the cost of 15 liters of petrol, we will multiply the unit price ($2.10) by 15

That is,

The cost of 15 liters of petrol = 15 × $2.10

∴ The cost of 15 liters of petrol = $31.50

Hence, the cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50

Learn more here: https://brainly.com/question/23804367

How many solutions are there to the equation below? -46 = 3x + 7 x

Answers

Answer:

One

Step-by-step explanation:

7x+3x= - 46

10x= - 46

x= - 4.6

one answer

Solve for x. Show steps.

1. 3x = 2x + 2

2. 3x + 5 = 4x + 1

3. 6x + 3 = 3x + 12

Answers

Answer:

1: x=2, 2: x=4, 3:x=3

Step-by-step explanation:

They are correct because i checked them

determine the domain and the range of the relation.
(-3,1), (4,2), (-3,6), (5,6)

Answers

Answer:

Domain (-3, 4, 5)

Range (1, 2, 6)

Step-by-step explanation:

Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).

Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).

So, basically you just look at all the number that come first so say you have

(1,2), (2,3), (3,4)

Your first numbers to each point are (1, 2, 3) which is your Domain

then look at the second number which are (2, 3, 4) which is your Range.

Hope this helps!

The lines shown below are parallel. If the green line has a slope of -17, what is the slope of the red line?

Answers

Answer:

it would be 17

Step-by-step explanation:

48/16 divided by 18/24

Answers

Answer:

Step-by-step explanation:

3/.75=4

Answer:

Step-by-step explanation:

48/16 equals to 3. 18/24 equals to 3/4 or 0.75. 3 divided by 0.75 equals to 4

An airline charges $150 for a ticket and $20 for each bag. Which equation shows the relationship between the number of bag, b , and the total cost, c , for flying with this airline?

Answers

Answer:

c = 150 + 20b

Step-by-step explanation:

Given:

Ticket charges = $150

Each bag carry cost = $20

Find:

Relationship between bag(b) and cost(c)

Computation:

⇒ Total cost = Ticket charges + $20(number of bags)

⇒ c = 150 + 20(b)

⇒ c = 150 + 20b

A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6 LaTeX: 7\:=\:t\:+37 = t + 3 Justification: ? like terms

PLEASE ANSWER!!

Answers

Answer:

t + 3

Step-by-step explanation:

Calculate the number of latex

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What is the final point of (-2,1) Up 4, right 6 then reflect across the x-axis

Answers

The final point would be ( 4,-5)

explain how to factorise i,j and n

Answers

Answer:

Explanation:

I).
(x+5)^2 - 16 = 0

It’s in a form of: a^2 - b^2 = (a-b)(a+b)

(x + 5)^2 - 4^2 = 0
(x + 5 - 4)(x + 5 + 4) = 0
(x + 1)(x + 9) = 0

J.
(x - 4)^2 - 9 = 0

Same form: a^2 - b^2 = (a-b)(a+b)

(x - 4)^2 - 3^2 = 0
(x - 4 - 3)(x - 4 + 3) = 0
(x - 7)(x - 1) = 0

n).
(2y + 7)^2 - y^2 = 0
(2y + 7 - y)(2y + 7 + y) = 0
(y + 7)(3y + 7) = 0

Answer:

see explanation

Step-by-step explanation:

A difference of squares is factored in general as

a² - b² = (a - b)(a + b)

(i)

(x + 5)² - 16 ← is a difference of squares, that is

(x + 5)² - 4²

= (x + 5 - 4)(x + 5 + 4)

= (x + 1)(x + 9)

(j)

(x - 4)² - 9 ← is a difference of squares, that is

(x - 4)² - 3²

= (x - 4 - 3)(x - 4 + 3)

= (x - 7)(x - 1)

(n)

(2y + 7)² - y² ← is a difference of squares

= (2y + 7 - y)(2y + 7 + y)

=(y + 7)(3y + 7)

what is the answer (2x + 6) = c

Answers

Answer:

X=3

C=12

Step-by-step explanation:

(2x+6)=c

2x+6

x=2/6

x=3

2x3+6=c

c=12

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x= c/2-3

Cynthia Besch wants to buy a rug for a room that is 29 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 756 square feet of carpeting. What dimension should the rug have?

Answers

Answer:

Dimensions of rug:

Length = 28 ft

Width = 27 ft

Step-by-step explanation:

The given dimensions of the room is:

Length = 30 ft

Width = 29 ft

Area of carpeting = 756 sq ft

Kindly refer to the attached image.

Let the uniform strip around floor is of length = [tex]x[/tex] ft

This [tex]x[/tex] feet will be 2 times along the length and

2 times along the width of room.

So, length of rug = 30 -2 [tex]\times[/tex] [tex]x[/tex] and

Width of rug = 29 -2 [tex]\times[/tex] [tex]x[/tex]

It will be rectangular in shape.

Area of a rectangle is given as:

[tex]A = Length\times Width[/tex]

[tex]756 = (30-2x) (29-2x)\\\Rightarrow 756 = 870 - 118x+4x^2\\\Rightarrow 4x^2-118x+114=0\\\Rightarrow 2x^2-59x+57=0\\\Rightarrow 2x^2-57x-2x+57=0\\\Rightarrow x =1, -\dfrac{57}{2}[/tex]

Negative length not possible.

So,Length of strip, [tex]x = 1\ ft[/tex]

Dimensions of rug:

Length = 30 -2 = 28 ft

Width = 29 -2 = 27 ft

can y’all please help meeeee
i would really appreciate it :)

Answers

Answer:

its 10

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )

y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )

(y - 2)² = x + 6 ( subtract 6 from both sides )

(y - 2)² - 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

please help, it’s a test and i don’t understand PLSPLS I HAVE LESS THAN AN HOUR!!!!

Answers

Answer:

1. obtuse

2. straight

3. acute

4. 62°

5. 72° ( I think, I'm not too sure on this one)

A book store sells 10 cookbooks, 18 novels, and 25 children's books on
Saturday. The store sells 6 cookbooks, 12 novels, and 15 children's books on
Sunday. Which ratio is the smallest?
A. Number of novels to children's books sold on Sunday
B. Number of cookbooks to novels sold on Sunday
O C. Number of cookbooks to novels sold on Saturday
D. Number of novels to children's books sold on Saturday

Answers

Answer: d

Step-by-step explanation:

A = 18:25 = 1:1.39

B = 6:12 = 1:2

C = 10:18 = 1:1.8

D = 12:15 = 1:1.25

The smallest ratio is D.

sorry if it's wrong!

Answer:

Step-by-step explanation:

Other Questions

FUN WRITING PROMPT TO EXERCISE YOUR BRAIN!! Looking back, I now see that Pebbles never gave up, he never lost hope after I had gotten him, he hadnt lost his hope even when he was going through pain. He was strong and he made me realize that you should never give up hope when you most want to. Which body system is most closely associated with transport and delivery? Hey guys since nobody ever helps me and my mom doesnt I need help on this assiment thanks :) Suppose that an investor with a 5-year investment horizon is considering purchasing a 7-year 9% coupon bond selling at par. The investor expects that he can reinvest the coupon payments at an annual interest rate of 9.4% and that at the end of the investment horizon 2-year bonds will be selling to offer a yield to maturity of 11.2%. What is the total return for this bond describe the elements of society Which organelle is responsible for packaging and sending out proteins to their proper destinations? Choose 1 answer: (Choice A) A Mitochondria (Choice B) B Golgi body (Choice C) C Nucleus (Choice D) D Lysosome Read this excerpt from a personal narrative. That will be $7.50, the cashier said after ringing up the groceries I hoped to purchase. I looked in my wallet and saw only a $5 bill. My face flushed as I realized I would have to put a few things back. Um . . . sorry. I thought I had more money with me, I replied. What if I put back the bottle of juice? How much will that be? Immediately, the woman standing in line behind me reached into her purse, pulled out $2.50, and handed it to the cashier. Oh, thanks, I said, surprised and relieved at the same time. This is so generous of you. How can I repay you? Dont thank me, the woman replied. Im no saint. I just dont want to wait in line any longer. Now you can go, and I can finally buy my groceries and get out of here. How does the dialogue in the paragraph help develop the narrative? It explains why the narrator does not have enough money to buy groceries. It explains how the experience in the store has shaped the identity of the author. It provides background information that helps the reader get to know the characters. It reveals the characters thoughts and feelings about their experiences in the store. Find the length of side AB.Give your answer to 1 decimal place.12 cm62B I need help graphing this what type of quantity is frequency The height of a door is 1.4 feet more than 2.3 times its width. If the height of the door is 8.5 feet, which equation can be used to determine x, the width of the door. Is 1.875 and rational number A rental company rents big-screen televisions for $22 down plus $4 a day. If the final bill is $46, how many days did you rent the television for? Question 5 of 10What could a human living now and a horse living thousands of years agohave in common?A. They are made of some of the same matter.B. They both get their energy directly from the sun.C. They need the same amount of energy to survive.D. They have the exact same DNA.SUBMIT Lipids, like those in butter, can be broken down into the simple substance that make them up called? A.starches B.amino acidsC. Carbohydrates D.fatty acids In one to two sentences, explain how consumption is determined in a market economic system. [tex] \sqrt[3]{8 \times 10 {}^{15} } [/tex]I'm not really sure how to start. Plants and ____, like bacteria, work together in a symbiotic relationship to transform nitrogen into a usable forn for plants and, eventually, other organisms. What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to 0all real numbers greater than or equal to -2 all real numbers greater than or equal to -3 14. 2^2+ + 5x = 5x + 50