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

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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.
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Step-by-step explanation:

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

SA=2*(72+48+24)

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

Answers

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Step-by-step explanation:

Answer:

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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:

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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

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Answers

Answer:

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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.

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π[tex]r^2[/tex]

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Answers

Answer:

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Step-by-step explanation:

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C=2πr

Solving forA

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4·π≈24.64992in²

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Let cost per bag = x

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Step-by-step explanation:

A waiter receives tips from each customer. On
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waiter can expect when a customer has a bill that is
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Answer:

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Step-by-step explanation:

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Answers

Answer:

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On considère les nombres A=√63×11√7×2√175 et B=√63−11√7+2√175.
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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 :)

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SOH-CAH-TOA

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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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

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Answers

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