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givi [52]
2 years ago
15

You deposit 2000 in an account earning 3% interest compounded monthly.

Mathematics
1 answer:
s2008m [1.1K]2 years ago
5 0

Answer:

  a. 3641.51

  b.  1641.51

Step-by-step explanation:

The future value formula will tell you the amount in the account in 20 years.

<h3>Formula</h3>

  FV = P(1 +r/n)^(nt)

Principal P is compounded n times per year at annual rate r for t years.

<h3>Application</h3>

The future value of the account with P=2000, r=0.03, n=12, and t=20 will be ...

  FV = 2000(1 +0.03/12)^(12·20) = 2000(1.0025^240) ≈ 3641.50999

<h3>a.</h3>

The account value in 20 years will be 3641.51.

<h3>b.</h3>

The first 2000 of account value is the principal, so the interest is ...

  interest = 3641.51 -2000

  interest = 1641.51

__

<em>Additional comment</em>

Many calculators and all spreadsheets have built-in capability for making this calculation.

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Match each polynomial expression to its additive inverse.
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Answer:

Step-by-step explanation:

To find the additive inverse of polynomial expression, flip the sign of each term.

6x² ----> -6x²

-x ----->  +x

-2 -----> +2

Additive inverse:

-6x² + x + 2

6 0
4 years ago
Help would be appreciated.<br><br>Find the value of each variable​
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Step-by-step explanation:

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2 years ago
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The time, t, required to travel a fixed distance varies inversely as the
Lemur [1.5K]

You must travel at 42 mph for 4 hours

<em><u>Solution:</u></em>

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1

Where, "k" is the constant of proportionality

<em><u>You travel 3 hours at a rate of 56 mph</u></em>

Substitute t = 3 and r = 56 in eqn 1

3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168

<em><u>Find the  rate you must travel for 4 hours</u></em>

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42

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4 0
4 years ago
Solve = 3/5k + 7/10 = 11/15k – 2/5​
adoni [48]

i get 11/2 is this wright answer??

3 0
3 years ago
What is the slope of the line?
suter [353]

Answer:

m=-3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (2, 3)

Point (3, 0)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. Substitute [SF]:                    m=\frac{0-3}{3-2}
  2. Subtract:                              m=\frac{-3}{1}
  3. Divide:                                 m=-3
3 0
3 years ago
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