Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years

Answers

Answer 1

Answer:

Step-by-step explanation:

Complete question

A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.

For Sebastian

Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]

Substituting the given values we get

A =

[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]

For Yolanda

Amount  [tex]= P(1+rt)[/tex]

[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]

Yolanda's account will have about $28.67 less than Sebastian's account

Option C is correct


Related Questions

There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answers

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

can someone please explain i am having a hard time with the math homework​

Answers

Answer:

x= -1

Step-by-step explanation:

you have five of the bigger pieces and 6 of the smaller pieces and you have to get to a one. I plugged in the awnser choices and one worked for me

GIVE ME A SOLID ANSWER

I gain: These 2 pages answers

You gain: 25 points brainliest

Answers

Answer:

Sorry but it is really difficult to see the questions... :(

Can you zoom up on them?

Step-by-step explanation:

HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE

Answers

Answer:

1. False

2. True

3. True

Step-by-step explanation:


[tex](x + y) ^{2} [/tex]

Answers

Answer:

Step-by-step explanation:

(x + y) 2

x2 + 2xy + y2

Answer:

Step-by-step explanation:

This is an example of "the square of a binomial."  There is a formula for such cases;

(a + b)^2 = a^2 + 2ab + b^2 (worth memorizing)

Thus, our (x + y)^2 = x^2 + 2xy + y^2

Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected

Answers

Answer:

1/4 the new area

Step-by-step explanation:

Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected

Given that:

Initial dimension of patio = 5' by 10'

Initial area of patio = Area of rectangle = Length * width

Area of patio = 5 * 10 = 50 in²

If dimension is multiplied by 2

New dimension :

5* 2 by 10*2 = 10' by 20'

New area of patio :

10 * 20 = 200 in²

50 /200 = 1/4

The old area will be 1/4 the size of the new area of the patio

Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers

Answers

Answer:

A. is 4

B. is 3

C. is 1

D. is 2

Please give me the answer please

Answers

Answer:360

Step-by-step explanation:

Answer:

area =

[tex] \frac{1}{2} \times (10 + 6) \times 6 [/tex]

=

[tex]3 \times 16[/tex]

=

[tex]48 \: ft {}^{2} [/tex]

which point on the number line represents --3/4​

Answers

Answer:

D

Step-by-step explanation:

Because it is 3 tics closer to 1. which would be 3/4 of 1  

A line that includes the point (2,7) has a slope of

8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

y - 7 = -8(x-2)

Step-by-step explanation:

The point slope form is: y-y1=m(x-x1)

From the information that was given, we know our two points: (2,7)

From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)

Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.

The answer would either be: y - 7 = -8(x-2)    [if you wrote down -8 as the slope]

OR

The answer would be: y - 7 = 8(x-2)    [if you wrote down 8 as the slope]

Find the area of the figure round to the nearest tenth

Answers

Answer:

180 m

Step-by-step explanation:

what are systems of equations and inequalities definitions?

Answers

Answer:

A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.

Step-by-step explanation:

Hope this helps. :D

A car is traveling at a constant speed of 60 miles per hour. Complete the table below to the distance that the car travels in hours.

Answers

Answer:

The value for the first one is “d= 60t”
because that’s how much the car travels per hour.
The values for the second question is “450=60t” because 450 is the amount of miles the car traveled in total, and again the 60 is how many miles the car travels per hour.

Hope this helped!

Solve for angle B, then side a. Round to the nearest tenth.

Answers

Answer:

Angle B: 28 degrees

Side a: 27.6

Step-by-step explanation:

Angle B:

180-112-40=28

Side a:

sin 28/14 = sin 112/a

a = sin 112(14)/sin 28

a = 27.6

If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market

Answers

Answer:

1.96

Step-by-step explanation:

A farmer sells 9.8 kl of apples and pears

4/5 of this weight is apples, while the rest are pears

Therefore the wight of pears can be calculated as follows

Let x represent the weight of pears

9.8= 4/5×9.8 + x

9.8= 0.8×9.8+x

9.8= 7.84+x

9.8-7.84= x

x= 1.96

If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?

Answers

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The mean of the following set of fractions is D. 22/75

Answer:

22/75

Step-by-step explanation:

To find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=1/2+1/5+1/5+1/10+7/15

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

=15/30+6/30+6/30+3/30+14/30

Rewriting numerators over the common denominator,

=15+6+6+3+1430

Totaling the numerator:

=44/30

Reducing the fraction:

=22/15

Dividing by the number of values: 5

22/15÷5=22/15×15=22/75

Average of the fractions is:

Average=22/75

Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?​

Answers

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

Two-step equation
2x+5x=-1
What's the answer for x=

Answers

-1 / 7 = x

You need to combine the 2x and 5x then devise the 7x from -1

Answer:

x=-1/7

Step-by-step explanation:

Combine like terms

7x=−1

Then you divide both sides by 7 and then you get x=-1/7 (fraction)

Hope it helps :)

matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have

Answers

Matt has 17.5 dollars because Angela has 22.5 dollars and together that is 40 dollars

Find the value of x.

Answers

Answer:

16

Step-by-step explanation:

2x8

Find the volume of the cylinder.
Either enter an exact answer in terms of T or use 3.14 for T.
8

Answers

Answer: V= 100.48 m^3 or in terms of Pi V = 32 π m^3

Step-by-step explanation:

V = πr^2h

V = π(2)^2(8)

V = π(4)(8)

V = 100.48

or

V = π (4)(8)

V = 32 π m^3

For a school fundraiser, Percy bought a big box of rubber ducks and wrote prize amounts, in dollars, on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and $100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500.

Percy then put all the rubber ducks in his school’s swimming pool. At the fundraiser, participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the rubber duck, and then they threw the duck back into the pool before the next person’s turn. Since the ducks were returned to the pool after they were caught, the chances of winning any particular amount remained the same.

Amir paid $15 to play the game once. If we assume he randomly selected a du

Answers

Answer:

i dont know

Step-by-step explanation:

75250 tickets were available for an international cricket match. 62% of the tickets were sold
within a day. How many tickets are left?​

Answers

Answer:

46655

Step-by-step explanation:

[tex]75250 \cdot \frac{62}{100} = 46655[/tex]

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.

Answers

Answer:

(1/2,0) is one solution

(-4/3,0) is the other solution.

Step-by-step explanation:

i hope this helps you it might not be right

Hola me podría alguien ayudar con esto? Muchas gracias!

Answers

Answer:

Las respuestas estan a continuacion.

Step-by-step explanation:

Tres mas que un numero = a+3

La diferencia entr eun numero y 5 = a - 5

4 menos que n = 4 - n

Un numero aumenta en 1 = x + 1

Un numero disminuido en 10 = z - 10

El producto de dos numeros = x*y

Dos veces la suma de dos numeros = 2(a+b)

Doce veces un numero sumado a otro = 2a+b

El coceinte de dos numeros =  a/b

Un numero aumentado en 3 = x+3

Un numero dismunuido en 2 = a - 2

El producto de m y n = m*n

El antecesor de un numero cualquiera = n - 1

El sucesor de un numero cualquiera =  x+1

Espero te haya servido!

Chirs bought 10.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chirs bought?

Answers

Answer:

39.52

Step-by-step explanation:

just multiply 3.8 by 104 and thats how many liters

A tourist attraction experienced a 3.75% fall in visitor numbers in June, compared to the previous month due to bad weather There were 121660 visitors in June How many visitors were there in May? B) In July there were 4.5% more visitors than in May What was the percentage increase in visitor numbers from June to July?

Answers

Answer:

(A) 126400

(B) 8.57%

Step-by-step explanation:

(A) According to the scenario, calculation of the given data are as follows,

Visitors in June = 121660

Let visitors in May = X

Difference in visitors number in June = 3.75% decrease

So, we can calculate the visitors number in may by using following formula,

Number of visitors in June = X - 3.75%X

121660 = 96.25%X

X = (121660 × 100) ÷ 96.25

X = 126400

Hence, Number of visitors in may = 126400

(B). Difference in visitors in July than in May = 4.5% increase

So, Number of visitors in July = 126400 + (126400 × 4.5%)

= 126400 + 5688

= 132088

Now, we will calculate increase in percentage by using following formula,

Increase percentage = (132088 - 121660)  ÷ 121660

= 10428 ÷ 121660

= 0.0857 or 8.57%

help me pls i give brainliest

Answers

Answer:

Decreased I think because they bumped into the other person

Step-by-step explanation:

Answer:

increased

 i just heard my brother say it because he's in highschool. TwT

Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.

Answers

Answer:

1). 4.2    2). 7.65    3). 14.14

Step-by-step explanation:

1). √(y2 - y1)² + (x2 - x1)²

√[-1 - (-4)]² + [-3 - (-6)]²

√(3)² + (3)²

√9 + 9

√18

= 4.2

2). √(2.5 - 1)² + ( -4 - 3.5)²

√(1.5)² + (-7.5)²

√(2.25) + (56.25)

√58.5

= 7.65

3).√(5 - (-5)² + (-5-5)²

√(10)² + (-10)²

√(100) + (100)

√200

= 14.14

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