What is the value of x and y?

The principal amount, $4200, earns 3.6% interest compounded monthly.

svlad2 [7]

Answer:

a)

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

b)

The total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

where

P represents the principal amount

r represents Annual Rate

n represents the number of compounding periods per unit t, at the end of each period

t represents the time Involve

b) What will the value be after 10 years?

Given

The principal amount P = $4200

Annual Rate r = 3.6% = 3.6/100 = 0.036

Compounded monthly = n = 12

Time Period = t

To Determine:

The total amount A = ?

Using the formula

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

substituting the values

$A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}$

$\:A\:=\:4200\left(1.0025\right)^{120}$

$A=5667.28$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.

6 0

3 years ago

Maria wraps the gift she is taking to a friend’s birthday party. She doesn’t have much paper, so she does not overlap any of the

Elina [12.6K]

Answer:

Total paper required to wrap the gift without any overlaps: $2700\ cm^{2}$

Step-by-step explanation:

Here, we need to find the total paper required without any sides overlapping to wrap the gift.

The gift is of cuboid type.

Given the following:

Length = 15 cm

Width = 30 cm

Height = 20 cm

Please refer to the attached figure.

We can infer that to find the paper required, we actually need to the find the total surface area of the cuboid.

Because the gift wrap will be done on the faces of gift (which is of cuboid shape).

Formula for Surface Area of Cuboid:

$\text {Area = } 2 \times (\text{Length}\times \text{Width} + \text{Width}\times \text{Height} + \text{Length}\times \text{Height} )\\\\\Rightarrow 2 \times (15 \times 30 + 30 \times 20 + 15 \times 20)\\\Rightarrow 2 \times (450 + 600 + 300)\\\Rightarrow 2 \times (1350)\\\Rightarrow 2700 cm^{2}$