A. Joshua puts $8,765 in a
10-year 5.28% savings
certificate in which interest is
compounded quarterly. How
much total interest has he
earned at the end of the ...
a) second year?
b) fourth year?
c) seventh year?
d) tenth year?

A. Joshua Puts $8,765 In A10-year 5.28% Savingscertificate In Which Interest Iscompounded Quarterly.

Answers

Answer 1
C. Seventh year because that’s how much he will earn from the interest
Answer 2

The amount at the end of the second year is $9,734.49.

The amount at the end of the fourth year is $10,811.22.

The amount at the end of the seventh year is $12,653.68.

The amount at the end of the tenth year is $14,810.14.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

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

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $8765

r = 5.28%

n = 4 (quarterly)

Amount after 2 years.

A = 8765 [tex](1 + 0.0131)^2[/tex]

A = $9,734.49

Amount after 4 years.

A = 8765 [tex](1 + 0.0131)^4[/tex]

A = $10,811.22

Amount after 7 years.

A = 8765 [tex](1 + 0.0131)^7[/tex]

A = $12,653.68

Amount after 10 years.

A = 8765 [tex](1 + 0.0131)^{10}[/tex]

A = $14,810.14

Thus,

The amount at the end of the second, fourth, seventh, and tenth year is given above.

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Related Questions

Can you prove that 4+2=5+1 is true without solving both sides of equation?

Answers

Answer:

Here you go...

Step-by-step explanation:

You have 4, and you have 5.

You have 4+2 and you have 5+1

So, you take a 1 from the 2 in the first problem, which gives u 4+1 that equals 5.

Therefore, if u put the first equation in a simpler form then you get 5+1 with the other equation. So it would look like 5+1=5+1.

FURTHERMORE, 4+2= 5+1 (because you simplify 2 into a 1).

So. 5+1 equals 5+1. (which is common sense... 5+1= 6.)

Which numbers are irrational numbers?
Select each correct answer.

Answers

the correct answer is B

Answer

Well pi is an irrational number because it can't be simplified into a fraction. And from what I can see neither can the sqaure root of 10/49. So I believe it would be both of them. But if there is only one answer than i'm not sure sorry. But it also says each so maybe there is more than one answer.

Step-by-step explanation:

estimate the line of best fit using two points on the line

Answers

Answer: The answer is Y = - 2/3x + 12

Step-by-step explanation: The line goes through point A

Answer:

[tex]y=-8x+80[/tex]

Step-by-step explanation:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{32-64}{6-2}=\frac{-32}{4}=-8[/tex]

[tex]y=mx+b[/tex]

[tex]y=-8x+b[/tex]

[tex]64=-8(2)+b[/tex]

[tex]64=-16+b[/tex]

[tex]80=b[/tex]

Therefore, the estimated line of best fit is [tex]y=-8x+80[/tex]

I cannot figure this out. Any help would be appreciated.

Answers

so you are finding M
90+x+15+3x+15=180
4x=60
X = 15
LMN = 15+15
LMN = 30
hopefully this is correct :)

1. Classify the following polynomials as monomial, binomial trinomial and polynomial:
i) 2x + y

Answers

Answer:

binomial

Step-by-step explanation:

a monomial has 1 term

a binomial has 2 terms

a trinomial has 3 terms

2x + y has 2 terms and so is a binomial

Answer is binomial step-by-step-equation

Find the roots 3x^3-13x^2-26x-24

Thank you

Answers

Answer:

31781715561888155919761999

X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a few days​

Answers

The given equation

x/2 = y/3 = z/4

can be broken into three separate equations which I'll call equations (A), (B) and (C)

x/2 = y/3 ..... equation (A)y/3 = z/4 .... equation (B)x/2 = z/4 .... equation (C)

We'll start off solving for z in equation (C)

x/2 = z/4

4x = 2z ... cross multiply

2z = 4x

z = 4x/2 ... divide both sides by 2

z = 2x

Now let's solve for y in equation (A)

x/2 = y/3

3x = 2y

2y = 3x

y = 3x/2

y = (3/2)x

y = 1.5x

The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.

We won't be using equation (B) at all.

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

The key takeaway from the last section is that

z = 2xy = 1.5x

Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:

(2x-y+5z)/(3y-x)

(2x-y+5(2x))/(3y-x) ..... plug in z = 2x

(2x-y+10x)/(3y-x)

(12x-y)/(3y-x)

(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x

(12x-1.5x)/(4.5x-x)

(10.5x)/(3.5x)

(10.5)/(3.5)

3

We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.

The forecast for Monday shows an 80% chance of rain. What is the probability that it will not rain on Monday?

Answers

Answer:

20%

Step-by-step explanation:

100%-80%=20%

....... .

20% js use multiplication ( 100-20 = 20 )

in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?

A) 60cm³

B) 84cm³

C) 72cm³

D) 98cm³​

Answers

Answer:

84cm cubic.

Step-by-step explanation:

That is how it is done.Hope it will help.

CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU
m > 17.2
What word sentence represents this inequality?

1: A number is less than 17.2
2: A number is greater than 17.2
3: A number is at most 17.2

Answers

Answer:

2:A number is greater than 17.2

Step-by-step explanation:

the ">" in the inequality represents is greater

so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.

Answer:

2

Step-by-step explanation:

Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are

Answers

Answer:

0 ≤  x ≤ 20.

Step-by-step explanation:

-10≤2x – 10 ≤30

2x - 10 ≤ 30

2x ≤  40

x ≤ 20.

2x - 10  ≥ -10

2x ≥  0

x ≥ 0.

For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.

For Example:

-10 ≤2x-10 Would be 0 ≤x

Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x

2x-10 ≤30 Would be x ≤20

Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20

So the answer would be 0 ≤ x ≤  20

Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3

Answers

9.5 i believe, 9 x 9 = 81
3 x 3 = 9
81 + 9 = 90
square root of 90 = 9.5

The length of x is 3√10 units.

What is Pythagoras Theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.

As per the given data:

Perpendicular = 9 units

Base = 3 units

Using Pythagoras theorem to find x (hypotenuse):

[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units

Hence, the length of x is 3√10 units.

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Zero is a solution for which inequality?
4.1m > -16.4
4.1m > 16.4
-4.1m > 16.4
4.1m < -16.4

Answers

Since 0 is greater than -4 in the expression 4.1m >-16.4, hence zero is a solution to this inequality

Given the following inequality, we are to check which of them has zero as a solution.

For the expression

4.1m >-16.4

m > -16.4/4.1

m > -4

Since 0 is greater than -4, hence zero is a solution to this inequality

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8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.

Which property is used in the last step to find that x = 10?

Answers

Answer:

Inverse Property of Multiplication

Step-by-step explanation:

Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.

help pls!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Name:

Grade & Section:

Date Submitted: 12/14/2021

Advent: Use it

Christmas: Open gifts under the tree left by Santa

Ordinary Time:

Lent: Celebrate Jesus.

Paschal Triduum: The Proper day to Celebrate Jesus

Easter: It is a Holiday where you celebrate a bunny and get candy.

Step-by-step explanation:

So is what you do here is you enter your Name, Grade & Section, and Date which i've already given you. So your assignment is about how you will participate in the seasonal activity. So Advent looks like it would be a Advent Calendar.

Christmas You wanna open gifts

Now I left Ordinary Time blank because you need to put what time you would regularly open gifts or if you do not celebrate Christmas put what time you'd like to open gifts at.

Lent: is where you celebrate Jesus and what he did on his time being on Earth.

Paschal Triduum is basically the same as Lent but it is the proper day you celebrate Jesus Which starts April 13 & Ends Saturday, April 16

Easter: Is where you usually get candy but it is in a hunt form

The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)

Answers

Answer:

rectangle

Step-by-step explanation:

u can use a graph paper

Can someone please help me with this one? :D ty!

Answers

2,000 Sorry That Was I Know #carryonlearning

can someone help me. these are due tonight.

Answers

Answer:

x = 4

Step-by-step explanation:

3x-4 = 8

3x = 12

x = 4

good luck

Answer:

x = 4

Step-by-step explanation:

3x - 4 = 8

3x = 8 + 4

3x = 12

x = 4

A veterinarian is trying to decide which website to use for her office. She gathers information on the customer ratings for each website and constructs a boxplot of each. There are the same number of ratings for each website. The results are shown in the following boxplots:

Based on these boxplots, which of the following is true?

The interquartile range for website A is greater than for website B.
The range for website B is greater than for website A.
The median ratings for the two websites are the same.
The interquartile ranges for the two websites are the same.

NO LINKS TO ANSWERS PLEASE ONLY RESPONSES BELOW QUESTION!!!

Answers

Based on the boxplots, it can be stated that the interquartile ranges for the two websites are the same.

This is so for the following reasons:

Website A has a range that goes between 10 and 65, that is, 55 points (65 - 10). Website B has a range that goes between 20 and 75, whose difference is also 55 (75 - 20).

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How many solutions does this system have?

y=2/3x + 32x - 3y = -9

A. One Solution

B. Two Solutions

C. No Solutions

D. Infinitely Many Solutions

Answers

Answer:

No solutions since they are two variables and it supposed to be solved simultaneously

y=
4
5
x+1
y=

3
5
x–6

Answers

Answer:

   

Step-by-step explanation:

Answer:

So, yea i cant get you an exact answer but... i can tell you howto solve it.

Step-by-step explanation:

IN this case you would need to rewrite it so it is on the left side!

Bye friend! :)

you have also wasted your time by going down heere so, YOUR FAULT

Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill
was $60.
What is Emika's monthly budget?

Answers

Emika's monthly budget is $60.

A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.

Let Emika's cell phone bill budget be represented with x.

In order to determine his monthly budget, divide $60 by 120%

x = $60 / 120%

x = $60 / 1.20

x = $50

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A copy machine makes 32 copies per minute. How long does it take to make 144 copies?

?????

Answers

4mins and 30seconds is the correct answer

What do u get after dividing the sum of 352 and 698 by 5

Answers

Answer:

the answer to the question is 210

Part A: Find the LCM of 7 and 8. Show your work. (3 points)

Part B: Find the GCF of 54 and 81. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 54 + 81 as an expression of two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show and explain your work.

Answers

Answer:

Part A:

LCM of 7 and 8 is 56.

7*8 = 56

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

Part B:

GCF of 54 and 81 is 27.

54: 1, 2, 3, 6, 9, 18, 27, 54.

81: 1, 3, 9, 27, 81.

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

Part C:

GCF of 54 and 81 is 27.

54 / 27 = 2

81 / 27 = 3

Final expression: 27(2 + 3)

Answer:

Part A: 56

Work:

7: 7, 14, 21, 28, 35, 42, 49, 56

8: 8, 16, 24, 32, 40, 48, 56, 64

Part B: 27

Work:

54: 54, 27, 9, 3, 1

81: 81, 27, 9, 3, 1

Part C: 27(2+3)

Work:

27×2 = 54    

27×3 = 81

(27×2)+(27×3) = 54+81

(27×2)+(27×3)=27(2+3)

Explaining work:

First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).

4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?

Answers

Answer:

Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.

As shown in the illustration, Alexa had a negative balance in her checkdng account before depositing a $47.00 check. What is the new balance of Alexa's checking account?​

Answers

Answer:jjjjjjjjjjjjjjjjjjjj

jjjjjjjjjjjjjjjjjjjjjjjjjj

jjjjjjjjjjjj

jjjjjjjj

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

helppppppppp[pppppp[pppppppppp

Answers

Answer:A

Step-by-step explanation:i mean that sound logiclity correct

Determine the equation of the line.

Answers

Answer:

Y = 5x - 10

Step-by-step:

Leave a brainliest if this helped!

(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12

Answers

Step-by-step explanation:

Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.

(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)

or, 6x - 21 = 12x - 54

or, 12x - 6x = - 21 + 54 = 33

or, 6x = 33

or, 2x = 11

∴ x = 11/2

∴2x + 23 = 2 × 11/2 + 23 = 34

8x + 2 = 8 × 11/2 + 2 = 46 and

20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58

34, 46 and 58 are three consecutive terms of an arithmetic sequence.

∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.

Hence, the common difference of the sequence is 12.

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