Alberto invests $4,571 in a retirement account with a fixed annual interest rate of 3% compounded 6 times per year. What will the account balance be after 18 years?

A) $7,833.32

B) $7,162.06

C) $7,602.38

D) $6,985.59

Answers

Answer 1

Answer:

A) $7,833.32

Step-by-step explanation:

Given data

Principal= $4,571

Rate=3%

n= 6

Time = 18 years

The expression for compound interest is

A=P(1+r/n)^nt

substitute

A= 4571(1+0.03/6)^6*18

A= 4571(1+0.03/6)^6*18

A= 4571(1+0.005)^6*18

A= 4571(1.005)^6*18

A= 4571(1.005)^108

A=4571*1.7136

A=$7832.86

Hence the approximate amount is A) $7,833.32


Related Questions

Use the following information to answer the question.
Maggie draws a coordinate plane of various locations in town. Each unit on the plane equals 1 block


What is the distance between Maggie's home and the school?
2 blocks
3 blocks
5 blocks
8 blocks

Answers

Answer:

8 blocks because if you count it there are 8 boxes there

LCM of 12, 8, 24 i need helppp

Answers

Answer:

24 is the LCM

Step-by-step explanation:

{ 12 , 24 , 36 , 48 }

{ 8 , 16 , 24 , 32 }

{ 24, 48 }

PLS GIVE BRAINLIST IF HELPFUL <33

There are 300 calories in three ounces of a certain ice cream. How many calories are there in two pounds?

Answers

Answer:

3200

Step-by-step explanation:

1 pound = 16 ounces.

300 = 3 ounces.

2 pounds = 32 ounces.

If 300 calories are in 3 ounces, how many are in 32 ounces?

32 / 3 = 10 2/3

300 * 10 2/3 = 3200

Hope this helps!

Use the distributive property to simplify the expressions.

1. b(6 + 5b)
2. 4( n + 5)

Answers

Answer:

Step-by-step explanation:

Ok i can help

1. Step 1

b(6 + 5b)  Apply distributive property

b*6+b*5b

Step 2

b*6+b*5b  Multiply

6b+5bb

Step 3

6b+5bb

6b+5b^2

Answer

6b+5b^2

2 Step 1

4( n + 5)  Apply distributive property

4n+4*5

Step 2

4n+4*5  Multiply the numbers

4n+20

Answer

4n+20

hope this helps

Please help I will give brainliest

Answers

Answer:

option 1 is equivalent to 3^2.3^5

Answer: A.) 3^10 / 3^3

Which statement best describes what is happening to cause the boy to hear sound

Answers

Answer:

The last one I think

Step-by-step explanation:

I’m not 100% sure

Answer:

The correct answer is C

Step-by-step explanation:

Hope this helps!

What is the value of CA?
15


9
18
30
15

Answers

15 because The value of CB=CA
And CB=CA because the there are 2 dashes on the lines, which mean they are equal

This might be a little confusing, hope this helps :D

easy algebra question below first correct answer gets brainliest, if you put one of those links you will get reported and blocked

Answers

Answer:

15^2 = 8^2 + x^2 = 12.69.

Step-by-step explanation:

Round to the nearest tenth. Use 3.14 or 22/7 for π.​

Answers

Note: Consider we need to find the circumference and area of the given circle.

Given:

A circle with radius 7.1 m.

To find:

The circumference and area of the given circle.

Solution:

Circumference of a circle is:

[tex]C=2\pi r[/tex]

Putting [tex]r=7.1,\pi=3.14[/tex], we get

[tex]C=2(3.14)(7.1)[/tex]

[tex]C=44.588[/tex]

[tex]C\approx 44.6[/tex]

Therefore, the circumference of the circle is 44.6 m.

The area of the circle is:

[tex]A=\pi r^2[/tex]

Putting [tex]r=7.1,\pi=3.14[/tex], we get

[tex]A=3.14(7.1)^2[/tex]

[tex]A=158.2874[/tex]

[tex]A\approx 158.3[/tex]

Therefore, the area of the circle is 158.3 sq. m.

this one actually has the equations

Answers

Answer:

X/4 = 2

Step-by-step explanation:

x/4 = 2

X = 8

explain the difference between 10°C and -10°C on a Thermometer​

Answers

Answer:

10°C is above ice point while -10°C is below ice point

Using the function g(x) = -2x + 5, what would the input need to be for an output of -5?

5

0

15

Will mark

Answers

Step-by-step explanation:

Out put = g(x) = -5 ==> -5 = -2x + 5 ==> x = input = 5

Answer:

5

Step-by-step explanation:

g(x) = - 2x + 5

Then

g(x) = - 5

- 2x + 5 = - 5

- 2x = - 5 - 5

- 2x = - 10

x = 10 / 2

x = 5

The number of blueberry muffins made is 40% of the total number of total muffins they make daily.

On tueday, the baker makes 60 muffins. How many miffins does the Baker bakes on Tuesday?​

Answers

The answer to your question is:

24

Answer:

probably 24

Step-by-step explanation:

Which statement describes the relationship between x and y? O As x increases, y decreases. O As x increases, y increases. O As x increases, y increases and then decreases. O As x increases, y decreases and then increases. X х​

Answers

Answer:

d

Step-by-step explanation:

The value of the modulus function is y = | x | - k , and as x increases , the value of y decreases and then increases

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as A

Now , the value of A is

y = | x | - k

where k is the factor of diminish

Now , when k = 4

The value of the modulus function is y = | x | - 4 and the graph is plotted

And , as x increases , the the value of y decreases and then increases

So , If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Hence , the modulus function is y = | x | - k

To learn more about modulus function click :

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The area of a right triangle is 12 cm2. Which of the following could be the lengths of the legs of the triangle?

2 cm and 6 cm
4 cm and 6 cm
3 cm and 2 cm
3 cm and 4 cm

Answers

Answer:

6 and 4

Step-by-step explanation: since it is "cm2" it means it was already halved. This means that the answer was originally 24, 6x4 is the only one that equals 24.

What’s the answer towards this question ?

Answers

Step-by-step explanation:

hope this help have a great day

The regular pentagon shown has an apothem with a length of 2 centimeters. To the nearest tenth, what is the area of the regular pentagon in square cintimeters

Answers

Answer:

11.8cm²

Step-by-step explanation:

The area of the regular pentagon is expressed as;

A = pa/2

p is the perimeter of the pentagon

a is the apothem

Since p = 5s

s is the side length, hence;

A = 5sa/2

Get the side length s;

central angle = 360/5

central angle = 72degrees

angle in the right angle triangle =72/2 = 36degrees

Using SOH CAH TOA

sin 36 = x/2

x = 2sin36

x = 1.1755

s = 2x

s = 2.35cm

Get the area

A = 5(2.35)(2)/2

A = 5(2.35)

A = 11.8cm²

Hence the area of the regular pentagon is 11.8cm²

Answer:

11.8cM

Step-by-step explanation:

8 yd
6 yd
15 yd
10 yd
Answer:




please help!:)

Answers

Answer:

What's the question???

Step-by-step explanation:

How do I find the next four of the sequence?

Answers

Step-by-step explanation:

In this arithmetic sequence, the common difference d is 7. You can find this by subtracting a term from the consecutive term: 16 - 9 = 7, 23 - 16 = 7. In order to find the next four terms, keep adding 7 to the previous term. The next four terms are 30, 37, 44, and 51.

Answer:

Step-by-step explanation:

[tex]a_{1}[/tex] = [tex]\frac{3}{4}[/tex]

d = - [tex]\frac{1}{4}[/tex]

[tex]a_{2}[/tex] = [tex]\frac{3}{4}[/tex] + ( - [tex]\frac{1}{4}[/tex] ) = [tex]\frac{1}{2}[/tex]

[tex]a_{3}[/tex] = [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

[tex]a_{4}[/tex] = - [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex] = - [tex]\frac{3}{4}[/tex]

[tex]a_{5}[/tex] = - [tex]\frac{3}{4}[/tex] - [tex]\frac{1}{4}[/tex] = - 1

Simplify: -(14x)0y(-7)z

Answers

-14x*0*-7z

0y=0
-(14x)=-14x

Which value of x makes the inequality -* < 8 true?
A
X = 32
B
X = 35
x = 34
D
= 2

Answers

Answer:

D: x = 2

Step-by-step explanation:

Go down the multiple choices answers and plug each value in for x until the inequality is true:

A:

1/4(32) < 8

1/4 × 32/1 < 8

32/4 < 8

8 < 8

8 is not less than 8 so this is false (8 = 8).

B:

1/4(35) < 8

35/4 < 8

8 3/4 < 8

8 3/4 is not less than 8 so this is false (8 3/4 > 8).

C:

1/4(34) < 8

34/4 < 8

8 2/4 < 8

8 2/4 is not less than 8 so this is false (8 2/4 > 8).

D:

1/4(2) < 8

2/4 < 8

2/4 is less than 8 so this is true (2/4 = 1/2 = 0.5 > 8).

Please please help me with this ASAP ASAP please

Answers

Answer:

Volume: 762 in³

LA: 448 in²

SA: 544 in²

Step-by-step explanation:

So first, the volume, the formula to find the area is base x height, so we have to find the base first:

8 x 12 ÷ 2 = 48

48 x 14  = 672

So the volume of the prism is 762 in³

Now, the lateral area, which is basically the surface area without the bases, or, in this case, the triangles:

10 x 14 = 140 x 2 = 280

12 x 14 = 168

168 + 280 = 448

So the LA = 448 in²

Now, for the surface area:

12 x 8 = 96 (usually, it would then be ÷ 2, but because there are two triangles, it isn't necessary)

96 + 448 (the LA) = 544

So the SA = 544 in²

hope this is right:)

3 Which ordered pair is the solution for this
system of linear equations?
2x + y = 6
5x + 3y = 14

A (-2, 10)
B (4,-2)
C (1,3)
D (3,0)

Answers

Answer is : B (4,-2) .

What is i30
A. 1
B. -i
C. -1
D. i

Answers

c) -1 is the answer to this question
C.-1 is the correct answer :)

( YOU’LL GET MARKED BRAINLIEST !! )
The topping dispenser at the frozen yogurt bar contains gummy bears 15 blue, 17 yellow, 28 red. With a turn of the handle, the dispenser randomly sends one gummy bear to garnish your frozen yogurt. Determine the probability of selecting a blue gummy bear.

A. 28/60

B. 15/60

C. 3/20

D. 1/4

Answers

Answer:

1/4

Step-by-step explanation:

The answer to this question is the amount of blue gummy bears over the total amount of gummy bears. This is 15/60 or 1/4.

Answer:

Depending on if you simplify it, it could be B or D

Step-by-step explanation:

You need to add all the gummies together, so 15+17+28. It would equal 60. Take out the blue and you get the fraction:

[tex]\frac{15}{60}[/tex]

You can simplify this to

[tex]\frac{1}{4}[/tex]

Good Luck!!!!

Which of the following choices are binomial random variables?

Answers

Answer: Diane flips a fair coin 10 times and counts how many times it lands showing “heads.” Let H = the number of heads.

Step-by-step explanation: If the answer choices are:

- Lulu rolls a pair of fair dice until she gets a sum 10. Let T = the number of rolls it takes.

- Diane flips a fair coin 10 times and counts how many times it lands showing “heads.” Let H = the number of heads.

- Anna asks a random sample of 10 people how many siblings they each have. Let S = the average number of siblings in the sample.

Solve for x


5(3+x)=5+7x

Answers

The answered the question is X=5
The answer to this question is X=5

Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the approximate diagonal length of the table top? Round to the nearest tenth.

Answers

Answer:

8.5 ft = length of diagonal

Step-by-step explanation:

If A = 36 ft^2, then s (length of one side) = 6 ft.

The diagonal and any one side create a 45 degree angle.  

sin 45 degrees = (length of side opposite the 45 degree angle)/hypotenuse

                                                          6 ft            6√2 ft          

Then (length of hypotenuse) = ------------------ = ---------------

                                                      sin 45 deg            1

This works out to 8.5 ft = length of diagonal

Help? I need the right answer

Answers

Answer:

A,B,C,D all have lines of symmetry

Step-by-step explanation:

Each letter listed above has one line of symmetry

Answer:

Its the 4th answer

False) S,T,U,V

False) L,M,N,O

False) W,X,Y,Z

True) A,B,C,D

hassan and eva rode their bikes from the same starting point. Hassan rode his bike 5/6 of a mile, while eve rode hers 4/7 of a mile. which equation shows the mileage difference D in the distance they rode

Answers

Answer:

A

Step-by-step explanation:

5/6 > 4/7 so you'd have to subtract from 5/6 to even get to 4/7.

The equation for the mileage difference is 5/6 - d = 4/7.

What are expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

(Mathematical Operator, Number/Variable, Expression)

Given the distance covered by Hassan = 5/6 of mile

distance covered by Eva = 4/7 of mile

5/6 = 0.833

4/7 = 0.57

since Hassan has covered more distance than Eva

so  equation is 5/6 - d = 4/7

Hence option A is correct.

Learn more about expression;

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