V = 1/3Bh Solve for b

You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounde

Mademuasel [1]

Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

$A= P(1+t)^t$

Inserting our values to solve for A we have

$A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70$

5 0

3 years ago

You roll a red-sided die and a white-sided die. Find the probability. P(red is less than 3 and white is less than 3) Simplify th

goldfiish [28.3K]

Answer:

1 on 3

Step-by-step explanation:

The red dice has 6 faces. The number you have to obtain is less than 3. So your answers must be 1 and 2. The numbers 1 and 2 are two solutions out of six. Now the same goes with the white dice. Two solutions out of six. You combine them and obtain 4 on 12. Then, you reduce the answer in minimal terms and finally obtain 1 on 3.

4 0

3 years ago

Solve the quadratic equation: 3x2 − 2x − 8 = 0

astra-53 [7]

Solutions

Factor 3x²−2x−8

1. Multiply 3 by -8, which is -24.

2. Ask: Which two numbers add up to -2 and multiply to -24?

3. Answer: 4 and -6

4. Rewrite −2x as the sum of 4x and −6x:

$3x^2+4x-6x-8=0$ 

Factor out common terms in the first two terms, then in the last two terms

$x(3x+4)-2(3x+4)=0

 
$

Factor out the common term 3x+4

 $(3x+4)(x-2)=0$

Solve for x

1. Ask: When will (3x+4)(x−2) equal zero?

2. Answer: When 3x+4=0 or x−2=0.

3. Solve each of the 2 equations above:

x = −4 / 3,2

8 0

3 years ago

Read 2 more answers

The length of a rectangle is twice its width The perimeter of the rectangle is 43cm

boyakko [2]

Answer:

7.17 cm

Step-by-step explanation:

If the width is x, the length is twice this = 2x

And

Perimeter = 2 (W + L)

so

Perimeter = 2 ( x + 2x)

Perimeter = 2 (3x)

Perimeter = 6x

43 = 2 ( x + 2x )

43= 2 ( 3x)

43 = 6x

= 7.17 cm

Hope this helps i'm pretty sure this is how you do it :-)

6 0

3 years ago

Your gas tank holds 13.5 gallons of gas your fuel gauge shows that your tank is one quarter full your car gets an average of 25

Gekata [30.6K]

Answer:

The brother is likely wrong.

Step-by-step explanation:

The range of the vehicle with a full tank is ...

(13.5 gal/tank)(25 mi/gal) = 337.5 mi/tank

You have 1/4 tank, so your range is ...

(337.5 mi/tank)(1/4 tank) = 84.375 mi

If you make the 85 mile distance, it will be because you achieved gas mileage better than average and/or your gas gauge gives you some cushion.

Unit analysis says you do not have the necessary range.

7 0

3 years ago