Mathematics High School

Natalie invests $5,632 in a retirement account with a fixed annual interest rate of 2% compounded 12 times per year. What will the account balance be after 16 years?

A) $8,398.46

C) $7,753.92

B) $8,610.85

D) $7,910.43

Answers

Answer 1

Answer:

C) $7,753.92

Step-by-step explanation:

Given data

Principal= $5,632

Rate=2%

n= 12

Time = 16 years

The expression for compound interest is

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

substitute

A= 5632(1+0.02/12)^12*16

A=5632(1+0.02/12)^12*16

A= 5632(1+0.00166)^12*16

A= 5632(1.00166)^12*16

A= 5632(1.00166)^192

A=5632*1.375

A=$7744

Hence the approximate amount is C) $7,753.92

Related Questions

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

B. 254.3

Step-by-step explanation:

The formula for the area of a circle is:

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

and r is half the diameter.

[tex]r = 18in / 2 = 9in\\~\\A = \pi \cdot (9in)^2 \approx 3.14 \cdot 81in^2 = 254.34in^2[/tex]

Answer:

D. 254.3

Step-by-step explanation:

Use the formula pi times the radius squared to get the area.

The radius is nine because the diameter of the diagram is 18. (The radius is always half the diameter).

π[tex]r^2[/tex]

π[tex]9^{2}[/tex]

π81 ≈ 254.3 inches squared

The angle of a triangle is 44°, 44°, and x°. What is the value of x°?​

Answers

the value of x would be 92 bc the 3 angles of a triangle equal 180

After reviewing her driving record for the past 3 years, Cindy's insurance company offers her a good driver discount of 4.5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Bodily Injury $50/100,000 Property Damage $25,000 Collision $500 deductible Comprehensive $100 deductible Annual Premiums $31.75 $120.50 $275.75 $100.00 a $504.24 b. $523.50 C. $528.00 d. $551.76​

Answers

Answer:

its A

Step-by-step explanation:

I just took the test on EDGE  

The new annual premium including the discount is $504.24.

Option A is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the new annual premium with the discount, we need to find the total premium and then subtract the discount.

The total premium is the sum of the individual premiums:

Total premium.

= $31.75 + $120.50 + $275.75 + $100.00

= $528.00

The discount is 4.5% of the total premium:

So,

Discount = 0.045 × $528.00 = $23.76

The new annual premium including the discount is:

New premium = Total Premium - Discount

= $528.00 - $23.76

= $504.24

Therefore,

The new annual premium including the discount is $504.24.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Please help with this

Answers

Step-by-step explanation:

I need the graph. I'll answer if you send me the graph that is uses

A circle has a circumference of 41 centimeters . What is the circle's radius ? Use 3.14 for pi and round your answer to the nearest tenth

Answers

the circles radius is 6.5 centimeters.

Answer:

"I hope your pillow is hot on both sides"

Step-by-step explanation:

:)

Please select the best answer from the choices provided.

Answers

Answer: 34

Step-by-step explanation:

SOH-CAH-TOA

To find the angle, find the inverse cosine of the adjacent side over the hypotenuse. ArcCos(72/87)=34

A waiter receives tips from each customer. On
average the tip is 15% of the customer's bill. At this
rate, which of the following is closest to the tip the
waiter can expect when a customer has a bill that is
$78.20
A) $8.00
B) 10.00
C) $12.00
D) $14.00

Answers

Answer:

B) 10.00

Step-by-step explanation:

A right triangle has legs that measure 7 centimeters and 6 centimeters. What is the length of the hypotenuse in centimeters

Answers

Anwser Is 9.22. because A squared Plus B squared is equal to C squared.

What is the difference between 2386 and 7000 check your answer using inverse operations

Answers

Answer:

4,614

Step-by-step explanation:

7000 - 2396 = 4614

inverse operations

2396 + 4614 = 7000

The answer is 4,614 because 7000-2386=4,614 and if you do inverse operation it is 4614+2386=7000

The area of the surface of a pool table is 24 square feet. The pool table is 6 feet long. How wide is it?

No procedure

Answers

Answer: The pool table is rectangle, so we assume it with Length a feet and b feet, respectively.

 

So area=a*b=24 square feet

perimeter=2(a+b)= 22 feet

 

then we calculate with this two equation to get a and b.

 

because  a+b=11, then a=11-b, we put this into a * b=24

 

then we get (11-b)*b=24,  

b^2-11b+24=0

b=3 feet or b=8 feet

then we can get a by a=11-b, if b=3, then a=8; if b=8, then a=3.

 

so the dimension of the pool table is 3 feet and 8 feet

HOPE THIS HELPS

Camille put $1,250 in a new account at her bank. - The bank pays 2.25% interest compounded annually on this account. - Camille makes no additional deposits or withdrawals. Which amount is the closest to the balance of the account at the end of 5 years?

Answers

Answer:

FV= $1,397.1

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,250

Interest rate (i)= 2.25% compounded annually

Number of periods (n)= 5 years

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 1,250*(1.0225^5)

FV= $1,397.1

BRAINLY TO WHOEVER HELPS ASAP

Answers

Answer:

2

Step-by-step explanation:

hiiii

Need answer please ty

Answers

Answer:

More detail needed

Step-by-step explanation:

The question is not clear, therefor there is no way to solve it.

Popcorn was donated for the school fair by 3 different popcorn vendors. They donated a total of 996 bags of popcorn. Each vendor donated the same number of bags. How many bags of popcorn did each vendor donate? Each vendor donated bags of popcorn

Answers

Answer:

let the of bag of vendors be X

3donate X bag to give 996

3×x=996

3x=996

divide both side by 3

3x\3=996\3

x=332

each vendor donated 332bags of popcorn

Which pair of statements about the lengths of two sides of the triangle is true?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B  is the answer!.

A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle

Answers

The height of the triangle would be

7.2 bc

10x7.2:72

So to find the area of a triangle u have to divide by 2, so

72 divided by 2 is 36, so 7.2 is the height

Bonjour, je suis bloqué à cet exercice, à vrai je n'ai rien compris de la consigne...
On considère les nombres A=√63×11√7×2√175 et B=√63−11√7+2√175.
1) Écrire A et B sous la forme a√7 avec a un entier.
2) Simplifier A/B.
Merci d'avance

Answers

Je dois admettre que je ne suis pas français et que j'utilise un traducteur pour répondre à cette question.Je suis désolé mais je vais devoir répondre à la lettre b uniquement parce que je ne sais pas comment résoudre la lettre a: A = 3√7 x 11√70√3 b = √63 - 11 √7 + 10 √7 si c'est faux, je suis désolé j'ai juste fait de mon mieux :)

11) Original price of a lizard: $39.99 Discount: 40% Tax: 6%​

Answers

Answer:

16.9

Step-by-step explanation:

.......ur welcome..........

40% of 39.99=15.95

6% of 15.95= 0.95

15.95 × 0.95=16.9

i’m really confused 2 2/ 3 + 4 4/ 5

Answers

Answer:

7 7/15

Step-by-step explanation:

The answer is 7 7/15

A formula for finding SA, the surface area of a rectangular prism, is
SA = 2(ab + ac + bc), where a, b, and c represent the lengths of the edges of the prism. What is the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches?



A.
B.
C.
D.

Answers

Step-by-step explanation:

SA=2*(12*6+12*4+6*4)

SA=2*(72+48+24)

SA=2*144

SA=288

Parveen buys 3 small bags of peanuts she gives the shopkeeper £2 and gets 80p change what is the cost of one pag of peanuts?

Answers

Answer:

$0.4

Step-by-step explanation:

Let cost per bag = x

Number of bags purchased = 3

Amount given to shopkeeper = $2

Change gotten = $0.80

(Cost per bag * number of bags purchased) + change obtained = amount given to shopkeeper

(x * 3) + 0.80 = 2

3x + 0.80 = 2

3x = 2 - 0.80

3x = 1.20

x = 1.20 / 3

x = 0.4

$0.4

A circular plate has circumference 17.6 inches. What is the area of this plate? ​

Answers

Answer:

A≈24.65in²

Step-by-step explanation:

A=πr2

C=2πr

Solving forA

A=C2

4π=17.62

4·π≈24.64992in²

Happy Friday!

Rewrite the function in standard form.
f(x)= 3(x + 5)2 - 7

Answers

Answer: F= 29
Explanation: first use distributive property and multiplied by three with the parentheses. And then multiply to by what you just solved. Remember to keep writing everything that we haven’t used yet. Then divide both the left side and the 6X by X. Then subtract 30 by 7. And add six. I hope this helped

ILL WIN BRAINLIEST YOU IF YOU GET IT RIGHT

please help me with this questions

Answers

Answer:

x=54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

it is an alternate interior angle so those 2 angles are actually congruent and corresponding

x + 3 = 57

Subtract 3 to get x = 54

HELP!! WILL GIVE BRAINLY!

Answers

Answer:

5

Step-by-step explanation:

The answer is 5 because you subtract 125 to 45 and end up with 80. Then you divide 80 by 16 and end up with 5. Let me know if you find any faults in my answer. Thanks. Have a good day!

If you roll a single six-sided die, what is the probability of rolling an odd number?

Answers

is usually three-sixths or three out of six

I am not sure but the probability could be 50% because there are 3 odd numbers on a die out of 6 and so half would be 50/100. Or 3/6.

Help me with this please ASAP

Answers

Answer:

Hi, there your answer is [tex]8x^{6}[/tex]

Step-by-step explanation:

4*x^3*2*x^3

=8*x^6

Hope this helps :)

PLZ MARK ME BRAINIIEST :) the crown thingy if you don't know what it is

Noah has 5 cards and Sofia has 3 times that but Jack has 5 times that what is the amount that jack has

Answers

Answer:

75

Step-by-step explanation:

Please help me I’m tired of these “click the link people”

Answers

Answer:the width is 2.56

Step-by-step explanation:

How many degrees is arc KM?

Answers

Answer:

90 degree

Step-by-step explanation:

because is a lm perpendicular to kn

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