Gregory may choose between two accounts in which to invest $5000. Account A offers 2.3% annual interest compounded monthly. Account B offers continuous compound interest. Greg plans to leave his investment untouched (no further deposits and no withdrawals) for 10 years.


need help calculating account b's balance​

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

principal = $5,000

interest rate = 2.3%

account A: compound monthly for 10 years

account B: compound continuously for 10 years

account A: compound monthly for 10 years

A = P (1 + r/12)^ r*t

 = $5,000 (1 + .023/12)^ 12(10)

= $6,291.6

account B: compound continuously for 10 years

FVn = PV * e^r*t

      = $5,000 * e ⁽⁰ ⁰²³ˣ¹⁰⁾

      = $6,293

Gregory may chose account B. (but the difference is only $1.40)

Answer 2

Gregory may choose account B.

Given that,

Principal = $5,000 .The interest rate = 2.3% .Account A: compound monthly for 10 years .Account B: compound continuously for 10 years

Based on the above information, the calculation is as follows:

For Account A

[tex]A = P (1 + r\div 12)^ {r\times t} \\\\= $5,000 (1 + .023\div 12)^ {12(10)}[/tex]

= $6,291.6

For account B

[tex]FVn = PV \times e^{r\times t}\\\\ = $5,000 \times e^ {0.023\times 10}[/tex]

= $6,293

Therefore we can conclude that Gregory may choose account B.

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Related Questions

Hey guys I need help with this im stupid i know but please

Answers

tick number 1 and 5. because if 30%=120 , therefore 100%= 100/30*120=400

What do I write????!??!!????????!!!!!

Answers

1. Do they match? No
How do you know? When substituted y = 3(2) - 4 is 2
y = 3(4) - 4 is 8
y = 3(8) - 4 is 20 not 14. So the table isn’t fully correct.

2. Do they match? No
How do you know? Because it says she walks UP the stairs not down. So -2 doesn’t make sense.

3. Do they match? Yes
How do you know? 0 means that the pile didn’t start with 6 so when you add 3 to 0, it’s 3. (duh lol)

On day 1, it starts with 6, (1)(6) = 6, and then they added 3 rocks, so it’s 9.

Day 2, twice as many rocks, so it starts with 12 now. + 3 is 15.

Day 3 starts with 18 rocks now. + 3 is 21.

Answer: Write your answers in the box, if you have spaces.

Step-by-step explanation:

A store is selling gloves for $7.50 each. Which equation represents the total
cost of gloves?
A) 7.5 # of gloves = total cost
B) # of gloves = 7.5. total cost
C) 7.5 = # of gloves = total cost
D) total cost = # of gloves = 7.5 # of gloves
Helpppp pleaseee

Answers

Answer: I’m late but A

Step-by-step explanation:

HELP ASAP PLS 20 POINTS WILL GIVE BRAINLIEST

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

What is the equation of
y=x3
with the given transformations?

vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down

Answers

Answer:

The parent function is y = x³.

After a vertical stretch by a factor of 3, obtain

y = 3x³

After a horizontal shift 4 unit to the right, obtain

y = 3(x - 4)³

After a vertical shift 3 units down, obtain

y = 3(x - 4)³ - 3

Answer:   y = 3(x - 4)³ - 3

y = 3(x - 4)³ - 3  is the equation of y=x³ with the given transformations

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

The given equation is y=x³

A translation of a graph is its rigid movement, vertically or horizontally.

From given we have,

There is a vertical stretch of 3 units, hence the function is multiplied by 3.

There is a horizontal shift of 4 units to the right, hence x -> x - 4.

There is a vertical shift of 3 units down, hence 3 is subtracted from the function.

The required equation is given by y = 3(x - 4)³ - 3.

Hence  y = 3(x - 4)³ - 3  is the equation of y=x³ with the given transformations

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Need explanation for how to find "E"(in the picture attached), and how to calculate "sin".​

Answers

Answer:

Step-by-step explanation:

E is just that Vertex/Angle.

[tex]sin[/tex] is a measure of an angle.

You should learn SOHCAHTOA

[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]

The opposite side is relative to the angle.

In this case, the opposite of E is 20

The hypotenuse is 29

so,

[tex]sin(E)= \frac{20}{29}[/tex]

Translate this sentence into an equation 20 less than Jenny's score is 66?

Answers

Answer:

x-20=66

Step-by-step explanation:

Jenny's score can be written as a variable x. 20 less than x is x-20. The answer is 66, so that will be on the other side of the equation. The equation is written as: x-20=66.

Hope this helps you!! Have a great day ^^

Mr. Morgan invested $20,000 in an account earning 4.5% annual interest. How many years would it take for him to earn 5400 in a simple interest

Answers

6 years
£20,000 x 0.045 = £900
£5,400 / £900 = 6 years

It takes Rebekka 1/2 hour to jog 1 1/4 miles.
Which calculation could be used to find her unit rate in miles per hour?

A. multiply: 1 1/4 x 1/2
B. multiply: 1/2 x 2
C. divide: 1 1/4 / 1/2
D. divide: 1/2 / 1 1/4

Answers

D because we have divide to find the unit rate.
D because it correct and I’m smart I think

How do you divide mixed fractions​

Answers

Answer:

See my explanation below.

Step-by-step explanation:

Let's start with two random mixed numbers.

[tex]4\frac{3}{5}[/tex] ÷ [tex]5\frac{1}{4}[/tex]

The first step is starting with [tex]4\frac{3}{5}[/tex]. Think about going from the denominator to the number on the left. After you remember that rule multiply 4 by 5. You should get 20. After that, you add by the numerator. 20 + 3=23

This is how it would be written.

[tex]\frac{23}{5}[/tex]

Do the same for the next mixed number. 5 x 4 = 20 and add by the numerator 21.

[tex]\frac{21}{4}[/tex]

After this is done. You will multiply by those fractions. [tex]\frac{23}{5}[/tex] x [tex]\frac{21}{4}[/tex] = [tex]\frac{483}{20}[/tex] we would write it as [tex]24\frac{3}{20}[/tex] as a mixed fraction.

I hope this helps!

Use the distributive property to write an expression that is equivalent to: 3(x + 5)

PLZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPP

Answers

Answer:

3x + 15

Step-by-step explanation:

when distributing, multiply the number outside of the parentheses by the numbers inside the parentheses.

Hey there!


3(x + 5)


DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(x) + 3(5)


= 3x + 15


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Explain why the lines are parallel given the angles shown. Assume that all tile patterns use this basic shape.

Picture provided

Answers

supplementary angles

converse of alternate interior angles theorem

ILL MARK U BRAINLIEST IF U DO THIS AND GET IT RIGHT

Answers

Answer:

Step-by-step explanation:

1.

The x's and y's will shift to the right and upward. This will make the shape larger because we are multiplying each point (x, y) by 2 [2(x, y)]. The new shape is similar since it is practically the same exact figure with a different scale. Furthermore, the angle measurements are congruent.

2. This will shift the x's and the y's upward and to the right making the shape larger although the shape will be stretched and will not be similar in terms of angle measures and other factors.

3. This will make the figure larger although the angle measurements will not be preserved and a new shape will form. This will not be similar from the original one since it will be stretched and the angles measurements are not congruent..

Subtract 7b(2a 2 +5a-7) from (7a 2 -a+3 )-3b(6a 2 -b+3)

Answers

Answer:

[tex]\huge\boxed{-32a^2b+7a^2+3b^2-35ab-a+40b+3}[/tex]

Step-by-step explanation:

[tex]7b(2a^2+5a-7)\qquad|\text{use the distributive property}\\\\=(7b)(2a^2)+(7b)(5a)+(7b)(-7)=14a^2b+35ab-49b\\\\\\(7a^2-a+3)-3b(6a^2-b+3)\qquad|\text{use the distributive property}\\\\=7a^2-a+3+(-3b)(6a^2)+(-3b)(-b)+(-3b)(3)\\\\=7a^2-a+3-18a^2b+3b^2-9b[/tex]

Substraction

[tex](7a^2-a+3-18a^2b+3b^2-9b)-(14a^2b+35ab-49b)\\\\=7a^2-a+3-18a^2b+3b^2-9b-14a^2b-35ab+49b\\\\\text{combine like terms}\\\\=(-18a^2b-14a^2b)+7a^2+3b^2-35ab-a+(-9b+49b)+3\\\\=-32a^2b+7a^2+3b^2-35ab-a+40b+3[/tex]

Solve the
9x+42=4x-13
The solution is x=

Answers

Answer:

x = -11

Step-by-step explanation:

9x+42=4x-13

(add 13 to both sides)

9x+55=4x

(subtract 9x from both sides)

55=-5x

(divide by -5)

-11 = x

You isolate the x term basically.

First you bring 4x from the right hand side to the left hand side and so the equation would be: 9x - 4x + 42 = -13

Then you bring 42 from the left hand side to the right hand side so the equation would look something like this: 9x - 4x = -13 - 42

Next subtract the x terms and the numbers on the right hand side too so you get: 5x = -55

Remove the coefficient from x and bring it to the right hand side with the operation as division. So you get: x = -55/5

Solve the division and you get: x = -11

:D

At a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box. $

Answers

Answer:

$357.5

Step-by-step explanation:

Answer:

347.50

Step-by-step explanation:

you have to put the 0 at the end i didnt and got it wrong.

Q3.
The length of a car is 3.6 metres.
Karl makes a scale model of the car.
He uses a scale of 1 cm to 30 cm.
Work out the length of the scale model of the car.
Give your answer in centimetres.

Answers

The length of the scale model of the car is 120 cm

Working out the length of the scale model of the car.

From the question, we have the following parameters that can be used in our computation:

Length of a car = 3.6 meters

We have the scale to be

Scale = 1 cm to 30 cm

This means that

Scale = 1 cm : 30 cm

using the above as a guide, we have the following:

Scale : 3.6 meters = 1 cm : 30 cm

So we have

Scale = 3.6 m * 1 cm/30 cm

Evaluate

Scale = 0.12 m

Convert to cm

Scale = 120 cm

Hence, the length of the scale model of the car is 120 cm

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Which function is nonlinear? A.9y+3=0 B. y-4x=1 C.y=2+6x4 D.x-2y=7 E.x/y+1=2

Answers

Answer:

c

Step-by-step explanation:

Answer:

9y+3=0 is linear

y-4x=1 is linear

y=2+6x4 is not linear

x-2y=7 is linear

x/y+1=2 is linear

If g(x) = 3x² – 2x–5, what is the
value of g(-1) ?

Answers

Answer:

0

Step-by-step explanation:

g(-1)=3×(-1)²-2×(-1)-5 g(-1)=3×1+2-5 g(-1)=3+2-5 g(-1)=5-5 g(-1)=0 ......

The value of g(x) = 3x² - 2x - 5, at x = -1 is g(-1) and it is equal to zero.

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, A function g(x) = 3x² - 2x - 5.

Now, The value of g(-1) is the same as x = - 1 in g(x).

Therefore, g(-1) = 3(-1)² - 2(-1) - 5.

g(-1) = 3 + 2 - 5.

g(-1) = 0.

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Is none proportional it proportional

Answers

Answer:No it is not proportional

Step-by-step explanation:

The reason non proportional is not proportional is bc it's not proportional.

Answer:

It's not proportional

Step-by-step explanation:

I can tell you that if you have, for example, 2 spring rolls and they are eaten by 4 people, then 1 spring roll is eaten by 2 people. That is proportional, becuase the amount of people is always dependened of the amount of spring rolls. But here, for 1 hour here, you get paid 52 dollars. If it was proportional, for 2 hours you'd be paid 104 dollars.

What is the result of subtracting the second equation from the first?
-2.1 + y = 0
- 7+ + 3y = 2.

Answers

it 0 i think hope it help

Find the unit rate.
8 birds in 2 nests =
birds per nest
8 birds in 2 nests =___birds per nest

Answers

Answer:

4

Step-by-step explanation:

8/2=4

hope this helps :3

if it did pls mark brainliest

Answer:

try math-way

Step-by-step explanation:

-2 (-3x + 3) + 2x = 58

Answers

Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

6x - 6 + 2x = 58

8x - 6 = 58 ( add 6 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

There are
150
150150 students in an eleventh grade high school class. There are
45
4545 students in the soccer team and
35
3535 students in the basketball team. Out of these students, there are
20
2020 who play on both teams.
Let
A
AA be the event that a randomly selected student in the class plays soccer and
B
BB be the event that the student plays basketball. Based on this information, answer the following questions.
What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the student plays soccer?

What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that the student plays basketball?

What is
P
(
A
and
B
)
P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the student plays soccer and basketball?

What is
P
(
A
|
B
)
P(A | B)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, the conditional probability that the student plays soccer given that he or she plays basketball?

Answers

Answer:

P(a)=0.3

P(b)=0.23

P(a&b)=0.13

P(a|b)=0.57

Step-by-step explanation:

Girl can I say this was very hard to read try better next time

By using a venn diagram we can figure out that out of the 150, 45 play soccer, 35 play basketball, 20 play both, 25 play exclusively soccer and 15 play exclusively basketball and 60 students in total play either

Let A be the probability of a student playing soccer and B be the probability of a student playing basketball

P(A)= 45/150

P(B)=35/150

P(A&B)=20/150

P(A|B)= 20/35

The chart shows the distances, in miles, between some towns and cities.
Toby lives in Wrexham and works in Oswestry.
Wrexham
18
Ruthin
a) Use the chart to find the road distance
between Wrexham and Oswestry.
15
21
12
Corwen
15
33
23
Oswestry
Sarah lives in Ruthin and works in Oswestry for
5 days a week. Each day she travels to and
from work using the route shown on the map.
MOLD
ROTHEN
WRESTHAM
b) How many miles, in total, does she travel to
and from work each week? 231 miles
CORNEN
OSWESTRY
Choose CI​

Answers

Answer:

part a)15

part b)330

Step-by-step explanation:

(a) The road distance between Wrexham and Oswestry is 15 miles.

(b) The number of miles Sarah travels to and from work each week is 330 miles.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Given a chart of the road distances between various towns and cities.

(a) From the chart,

Distance the corresponds to Wrexham and Oswestry = 15 miles

Road distance between Wrexham and Oswestry is 15 miles.

(b) Distance between Ruthin and Oswestry = 33 miles

Total distance travelled to and from work in a day = 33 × 2 = 66 miles

She works 5 days a week.

Total distance travelled for 5 days = 66 × 5 = 330 miles

Hence the number of miles travelled by Sarah in a week is 330 miles.

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The chart is given below.

3+x
three increased
by a number
The sum of nine
and eight
nine divided by a
number
9+8
the sum of nine
and a number
x/9
a number
divided by 9
9/x
nine less than a
number
9n
the product of 9
and a number
X-9
9+x

Please Help Me !

Answers

Answer:

1) Three increased by a number: 3+x

2) The sum of nine and eight: 9+8

3) Nine divided by a number: 9/x

4) The sum of nine and a number : 9+x

5) A number divided by 9: x/9

6) Nine less than a number: x-9

7) The product of nine and a number: 9n

Step-by-step explanation:

You have to match statements with their mathematical expressions.

I will match the statements with their mathematical forms.

1) Three increased by a number: 3+x

2) The sum of nine and eight: 9+8

3) Nine divided by a number: 9/x

4) The sum of nine and a number : 9+x

5) A number divided by 9: x/9

6) Nine less than a number: x-9

7) The product of nine and a number: 9n

Using the graph below, what is the value of f(6) ?

Answers

Polynomial mixing with Modulus. First time to see this in my life.

So from the graph it must be even-degree polynomial. It must be 4-degree polynomial judging from the x-intercepts.

There's a fraction/decimal as roots so...  Just look from the graph.

When x = 6 or f(6), y = -2 as shown in the graph.

So f(6) = -2

having trouble please help I WILL MARK BRAINLYEST

Answers

Answer:

28

Step-by-step explanation:

the pattern is 7. 35 - 7 = 28

Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on exam

Answers

Answer:

30 questions

Step-by-step explanation:

if you cross multiply and divide like this,

[tex]\frac{27}{x}= \frac{90}{100}[/tex]

27 x 100 = 2700

2700 / 90 = 30

you'll get ; 30 !

Answer:

There are 30 total questions on the exam

Explanation:

90% = 0.9

0.9 x TOTAL = 27

27/ 0.9 = TOTAL

30 = TOTAL

Henry places x marbles into an empty bucket.Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown

Answers

Complete Question:

Henry places x marbles into an empty bucket.  Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown: ​3x + 8

What does the term 8 represent in this expression?

Answer:

The weight of the bucket

Step-by-step explanation:

Given

[tex]Weight = 3x + 8[/tex]

Required

What does 8 represent?

The given expression illustrates the weight of the whole system i.e. bucket and marbles

i.e.

[tex]Weight = Weight\ of\ x\ marble + Weight\ of\ Bucket[/tex]

Since there are x marbles, by comparison:

[tex]Weight\ of\ x\ marble = 3x[/tex]

[tex]Weight\ of\ bucket = 8[/tex]

Hence, 8 represents the weight of the bucket

Passing through (-3,2) and (6,2) what is the slop intercept form of the equation of the line?

Answers

Answer:

The slope would be 0

Step-by-step explanation:

The y is the same, and it's not rising or running. The y will never change no matter what x is. Hope this helps!

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