PLEASE HELP!!

If $64,000 is invested in an IRA account with an annual interest rate of 8% compounded once a year, what is the value of the acc

Iteru [2.4K]

Answer: the value of the account after 6 years is $101559.96

Step-by-step explanation:

If $64,000 is invested in an IRA account, then

Principal = $64,000

So P = 64,000

The rate at which $64000 was compounded is 8%

So r = 8/100 = 0.08

If it is compounded once in a year, this means that it is compounded annually (and not semi annually, quarterly or others). So

n = 1

We want to determine the value of the account after 6 years, this means

time, t = 6

Applying the compound interest formula,

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

A = amount after n number of years

A = 64000( 1 + 0.08/1)^1×6

A = 64000(1.08)^6

A= 64000×1.58687432294

A= 101559.956668416

Approximately $101559.96 to 2 decimal places

4 0

3 years ago

Domain and range of the inequality y<√x+3 +1

Margaret [11]

The domain of the given inequality is y>1.

<h3>What is Inequality?</h3>

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here, given inequality:

y < $\sqrt{x+3}+1$

Related equation:

y = $\sqrt{x+3}+1$

The equation defined as,

x+3 > 0

x > -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

$\sqrt{x+3} \geq 0$

adding 1 on both sides, we get

$\sqrt{x+3} + 1 \geq 1$

y ≥ 1

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

Thus, the domain of the given inequality is y>1.

Learn more about Inequality from:

brainly.com/question/20383699

#SPJ1

6 0

2 years ago

PLEASE HELP ALGEBRA 2!!!

Contact [7]

Answer:

5

Step-by-step explanation:

8 0

3 years ago

1/2 x 1350 x 144 = 97200 J where did they get the 144 from?

kati45 [8]

Speed^2 or velocity^2 because 12x12=144

It's looks like the Kinetic energy equation:

KE = 1/2mv^2

Hope this helps!

7 0

2 years ago

Indicate whether the following statements are True (T) or False (F).

chubhunter [2.5K]

1. False because a rational is a fraction or part of a number ( $\frac{3}{2}, 3.2$ ). $\sqrt{49} = 7$

2. True; a real number is any number that isn't imaginary ( $i, \sqrt{-1}$ )

3. True; same reason

4. True; an integer is any number that can be wrote without a fraction or decimal (the opposite of rational).

5. True; $\sqrt{3} \approx 1.32$ and that's a decimal.

6. True; the natural number system starts from 0 and counts upwards

7. True; reason above

4 0

4 years ago