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brilliants [131]
2 years ago
14

2. Ella invests $2,000 in an account that pays a 4% annual interest rate, compounded continuously. What is the value of her acco

unt after 5 years? Round your answer to the nearest dollar . Show your work.
Mathematics
1 answer:
Mademuasel [1]2 years ago
7 0

Answer: $2,442

Step-by-step explanation:

P=2000

r= 4%= 4/100= 0.04

t= 5 years

A is therefore 2000e0.04(5)

=2000e0.2

=$2,442.8

To the nearest dollar will give $2,442

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On a coordinate plane, triangle L M N is shown. Point L is at (2, 4), point M is at (negative 2, 1), and point N is at (negative
Crank

Perimeter is  8 + √(10) units.

<u>Step-by-step explanation:</u>

First we have to find the distance between the all the 3 points and then using the distances, we can find the sum of it, so that we will get the perimeter of the triangle.

The points are L(2,4) , M(-2,1) and N(-1,4)

Distance between the points can be found as,

√((x₂-x₁)² + (y₂-y₁)²)

Plugin the values in the given point, we will get LM as,

LM = √((-2-2)² + (1-4)²)

    = √((-4)² + (-3)²)

   = √(16 + 9) = √(25) = 5 units.

MN = √((-1-(-2))² + (4-1)²)

     = √((-1+2))² + (4-1)²)

    = √((1))² + (3)²)

    = √(1 + 9) = √(10)

 NL = √((2-(-1))² + (4-4)²)

      = √((3)² + 0²) = √(9) = 3 units

Perimeter = LM + MN + NL = 5+ √(10) + 3 = 8 + √(10) units.

6 0
2 years ago
Read 2 more answers
Paul joins a gym that has an initial membership fee and a monthly cost. He pays a total of $295 after three months, and $495 aft
Harrizon [31]

Answer:

a

Step-by-step explanation:

6 0
1 year ago
I see that your new product is available for 412.50 on the website. How much is it if I buy it in the store? The website is a 25
OverLord2011 [107]

Answer with explanation:

Price of Product on the Website = $ 412.50

It is given that, product is offered at a discount of 25% on the website.

Let actual price of product on the store = $ x

Writing the above statement in terms of equation

→Price at store - Discount= Price at Website

x-\frac{25\times x}{100}=412.50\\\\ \frac{75 x}{100}=412.50\\\\x=\frac{41250}{75}\\\\x=550

Price at store of that Product = $ 550

3 0
2 years ago
Which are linear pairs? Check all that apply.
boyakko [2]

Answer:

Options B, C and D

Step-by-step explanation:

Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.

In other words, pair of supplementary angles is the linear pair.

From the figure attached,

Pair of the linear angles are,

1). ∠BAC and ∠CAD

2). ∠BAE and ∠EAD

3). ∠EAD and ∠DAC

Therefore, Options B, C and D are correct.

5 0
2 years ago
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Find the value of a/b when a = $13.93 and b= 0.07
lara [203]

Answer:

If you divide the numbers you should get 199.



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1 year ago
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