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3 years ago

$8000 invested at an APR of 6% for 10 years.

Mathematics

1 answer:

Olenka [21]3 years ago

4 0

The formula in finding the maturity value is the following:

A = P (1 + r) ^t

Where A = Maturity value

P = principal amount

r = Annual percentage rate

t = time in years

Substituting the given amount to the formula:

A = $8,000 (1 + 6%) ^10

= $8,000 (1.7908)

= $14,326.40

Therefore, the amount of $8,000 after 10 years compounded annually at 6% is $14,326.40

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A circular pond is to be surrounded by a gravel path. Use the diagram to find the square feet of gravel needed if we know the po

zzz [600]

Hey, I think an image is needed to answer this question.

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3 years ago

consider a sequence of independent tosses of a biased coin at times k=0,1,2,…,n. On each toss, the probability of Heads is p, an

omeli [17]

Answer:

1. p*(1-p)

2. n*p*(1-p)

3. p*(1-p)

4. 0

5. p^2*(1-p)^2

6. 57/64

Step-by-step explanation:

1. Let Ik denote the reward (possibly 0) given at time k, for k∈{1,2,…,n}. Find E[Ik].

E[Ik]= p*(1-p)

2. Using the answer to part 1, find E[R].

E[R]= n*p*(1-p)

The variance calculation is more involved because the random variables I1,I2,…,In are not independent. We begin by computing the following values.

3. If k∈{1,2,…,n}, then

E[I2k]= p*(1-p)

4. If k∈{1,2,…,n−1}, then

E[IkIk+1]= 0

5. If k≥1, ℓ≥2, and k+ℓ≤n, then

E[IkIk+ℓ]= p^2*(1-p)^2

6. Using the results above, calculate the numerical value of var(R) assuming that p=3/4, n=10.

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3 years ago

What is the sum of the polynomials?

ASHA 777 [7]

Answer:

$- 4 {x}^{2} - 11x + 13$

Step-by-step explanation:

$( - {x}^{2} + 9) + ( - 3 {x}^{2} - 11x + 4)$

$- {x}^{2} + 9 - 3 {x}^{2} - 11x + 4$

$- 4 {x}^{2} - 11x + 13$

6 0

1 year ago

A discount voucher offering 15% off is used to pay a bill. After using the voucher, the bill is reduced to £36.72.

Elena-2011 [213]

We can use the is/of=p/100 method for this problem. Since it's 15% off, this would mean that the bill is 85% of what it was initially. Plug the values into the is/of=p/100 formula.

36.72/x = 85/100

Solve for x.

x=36.72/0.85

x=43.2

So, the bill was $43.20 before applying the voucher discount of 15% off.

3 0

3 years ago

Read 2 more answers

Find the area of the rhombus.<br> 4.32 m2<br> 2.16 m2<br> 1.08 m2<br> 1.05 m2

S_A_V [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The part of the diagonals are given as 0.9 m and 1.2 m.

The diagonals of rhombus intersect each other.

Hence the length of diagonals will be : $0.9*2=1.8$ and $1.2*2=2.4$

The formula of area of rhombus is : $\frac{pq}{2}$ where p and q are the length of diagonals.

So plugging the values of diagonals in formula, the area will be :

Area = $\frac{1.8*2.4}{2}$

Area = $\frac{4.32}{2}$

Area = $2.16 \ m^2$ ................. Answer

Hope it will help :)

6 0

3 years ago