All categories

3 years ago

Albert $1000 earned 1.2% annual interest compounded monthly

Mathematics

1 answer:

mr Goodwill [35]3 years ago

3 0

Answer:

$2159.07

Step-by-step explanation:

The compound interest formula is used to find the balance for the $1000 investment:

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

A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43

For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...

A = 500(1 -.02) = 490.00

The continuous compounding formula is used for the second $500 investment.

A = Pe^(rt)

A = 500e^(.008·10) = 500e^.08 = 541.64

The total value of Albert's investments is ...

$1127.43 +490 +541.64 = $2159.07

You might be interested in

From Allen (1990, 113, 162). The interactive computer system at Gnu Glue has 20 communication lines to the central computer syst

Harman [31]

Answer:

Binomial = 0.8724

Normal approximation = 0.873

Step-by-step explanation:

Given that :

Sample size (n) = 20

p = 0.6

q = 1 - p = 1 - 0.6 = 0.4

.using normal approximation :

Mean = np

Mean (m) = 20 * 0.6 = 12

Standard deviation (s) = √npq

s = √(20 * 0.6 * 0.4) = 2.1908902

Probability of 10 or more lines in use :

p(x ≥ 10)

Applying for correction:

p(x ≥ 10 - 0.5) = p(x ≥ 9.5)

Using the z formula :

Z = (x - m) / s

Z = (9.5 - 12) / 2.1908902

Z = - 1.141

p(Z > - 1.141) = 0.87307 (Z probability calculator)

p(Z > - 1.141) = 0.873

Using the binomial distribution :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)

Using calculator :

p(x ≥ 10) = 0.87247

= 0.873

7 0

3 years ago

What percent is 12 out of 20?

Flura [38]

That would be 60%. Hope I helped : )

8 0

3 years ago

Read 2 more answers

What is x? Can you please help?

Goryan [66]

Answer:

The answer to your question is: x = 2

Step-by-step explanation:

Data

LM = 6x

MN = 10x + 4

LN = 20x - 4

x = ?

Process

LM + MN = LN

Then

6x + 10x + 4 = 20x - 4

Solve for x 16x + 4 = 20x -4

16x - 20x = -4 - 4

-4x = -8

x = -8/-4

x = 2

6(2) + 10(2) + 4 = 20(2) - 4

12 + 20 + 4 = 40 -4

36 = 36

4 0

3 years ago

Can someone help me please I will give brainleast just please help me out

galben [10]

Question 5

Flat fee = $6

Question 6

The group should charge $65 for 15 bags of leaves.

Question 7

The relationship between the amount charged and the number of bags filled is linear.

3 0

3 years ago

Leo, Bamba, and max were having a sleepover at Leo's house.they decided they'd like to have hot chocolate but the directions on

Tresset [83]

i think the answer would be (C) because the coca outweighs the milk

3 0

3 years ago

Read 2 more answers