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skelet666 [1.2K]
2 years ago
9

Some banks now use continuous compounding of an amount invested. In this case, the equation that models the value of an initial

investment of P dollars in t years at an annual
interest rate of r is given by A = Pelt. Using this equation, find the value in 5 years of an investment of $2000 that earns 7% annual interest. (Round your answer to the nearest cent.)
Mathematics
1 answer:
Komok [63]2 years ago
4 0

Answer:

In this case, the equation that models the value of an initial investment of P dollars in t years at an annual interest rate of r is given by A = Pert.

Step-by-step explanation:

You might be interested in
For a horizontal demand curve
kkurt [141]

Answer:

d. both the slope and price elasticity of demand are equal to 0.

Step-by-step explanation:

In order to graph the demand curve, the quantity demanded is plotted along x-axis and the price is plotted along y-axis. An image attached below shows the horizontal demand curve.

Horizontal demand curve, as its name indicates, is a horizontal line which is parallel to x-axis. Since, the slope of any line parallel to x-axis is 0, we can conclude that the slope of Horizontal demand curve is 0.

A horizontal demand curve can be observed for a perfectly competitive market. Since, its a perfect competition, the price of a product by all competitors will be the same. In this case, if a firm decides to increase the price, he will loose his market share as no customer will buy the product at increased price. They will rather go with the other competitor who is offering a similar product at lower price.

On the other hand, if a competitor decides to lower his price in such case, he will experience loss. Therefore, the competitors do not have the option to change the price. Therefore, we can say the price elasticity of demand in this case is 0.

So, option D describes the horizontal demand curve correctly.

3 0
2 years ago
Which of the following could be its equation?
mrs_skeptik [129]

So to solve problems like these you can work out each equation by substituting the x and y with the coords from the vertex (2,-4) and which ever one is true is the corresponding equation.

Lets try the first one

A) y = 2( x-2)^2-4    this would become

  -4 = 2(2-2)^2-4    we solve this and get

   -4 = 2(0)-4

   -4 = -4  

so it seems like A is the correct answer, of course we'd wanna check out the other answers just to be sure.

Lets try one and do C

C)  -2 = 2(-4-2)^2+2  

    -2 = 2(-8)^2+2

    -2 = 130

These aren't equal so this can't be our equation


So you can also do one more just to be super sure you have the right answer but I think A is the correct one :)



5 0
3 years ago
Find the nth term of a gp with (a. find term = 5, common ratio = 2​
Rina8888 [55]

Step-by-step explanation:

we know,

tn= a {(r)}^{n - 1}  \\ T5 = a {(2)}^{5 - 1}  \\ t5 = a \times  {2}^{4}  \\  = 16a

Therefore, nth term of a given gp is

16a

7 0
3 years ago
The total mass of Sandeep and his sister, Leela, is 54.75 kg. The total
krok68 [10]
He is 38 kg.


I'll use only the first letters of their names, to make it simpler:

S+L=54.75
S+M=105
M=4L

S+4L=105
105-54.75=4L-L=3L
L=50.25/3=16.75
S=54.75-16.75=38
6 0
3 years ago
Read 2 more answers
Maria invested $450 in a savings account and earned $126 in interest at the end of 7 years.
Brut [27]
The interest rate is B. 4%

Given:
Principal = 450
Interest = 126
term = 7 
rate = ?

Simple Interest is computed by multiplying the Principal, rate, and term.

Interest = P × r × t

126 = 450 × r × 7
126 = 3150r
r = 126/3150
r = 0.04 x 100% = 4%

To check:

I = 450 
× 0.04 x 7
I = 18 × 7
I = 126
5 0
3 years ago
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