MATHEMATICS HIGH SCHOOL

Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?

Answers

Answer 1
Answer:

Answer:3400

Step-by-step explanation:
Answer 2
Answer:

Final answer:

To find the amount of money in the account after 14 years with continuous compound interest, we can use the formula A = P * e^(rt), where P is the principal amount, e is Euler's number, r is the interest rate per year, and t is the number of years. Substituting the values into the formula, we find that the final amount in the account is approximately $3831.

Explanation:

To find the amount of money in the account after 14 years, we can use the formula for continuous compound interest, which is given by the formula:

A = P * e^(rt)

A is the final amount in the account (what we're trying to find)

P is the principal amount (the initial investment of $2,500)

e is Euler's number (approximately 2.71828)

r is the interest rate per year (2.1% or 0.021)

t is the number of years (14)

Substituting the values into the formula:

A = $2500 * e^(0.021 * 14)

Using a calculator, we can find that the final amount in the account is approximately $3831.

Learn more about Compound Interest here:

brainly.com/question/32594953

#SPJ2

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Does anybody know the answer to this question please I need help?!

Answers

Answer:

Juan earns 10 dollars a week at his job

Step-by-step explanation:

Debbie is making an abstract painting with two triangles. The dimensions of the painting are shown below:Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.

The total area of the two triangles is _____ square inches.

Answers

Debbie's abstractpainting are two in numbers both having the same height. since we know the area of a triangle to be

Area = 1/2*Base*Height

Total area =Area of  Triangle A+ Area of  Triangle B

= 24+40

=64 square inches

Given data

Both Triangles share the same height = 8 inches

For Triangle A

Base = 6 inches

Area = 1/2 Base*Height

Area = 1/2*8*6

Area = 24 square inches

For Triangle B

Base = 10 inches

Area = 1/2 Base*Height

Area = 1/2*8*10

Area = 40 square inches

Total = 24+40

Total = 64 square inches

Learn more about area of triangle here

brainly.com/question/2607596
The surface of the triangle count formula
A = b*h*1/2
A - area
b - base
c - height
The first triangle
A₁ = b₁*h = 6in * 8in *1/2= 24in²

The second triangle
A₂ b₂*h = 10in * 8in*1/2 = 40in²

The total area of the two triangles is 24in² + 40in² = 64 square inches

Simplify.

16.3 – (–4.2) + 15.9

Answers

The answer is 36.4.

16.3 - (-4.2) = 20.5 because a two subtraction sign will cancel out and become positive.
So 20.5 + 15.9 = 36.4

A closet contains 5 shirts, 8 skirts, and 3 pairs of shoes. How many possible outfit combinations are there?

Answers

actually the answer is 120, apex:)

Answer:

120 combos

Step-by-step explanation:

VOTE ME FOR BRAINILEST.

Which properties should you use to solve the equation4x+2= 18 ?

Answers

x=4

4x+2=18

x has to be alone, so you dived both sides by 2

4x=18-2

4x=16

divide both sides by 4

x=4

Answer:

Addition property of equality and multiplication property of equality

Step-by-step explanation:

Addition Property of Equality: This property states that you can add or subtract the same value to both sides of an equation without changing its solution.

Here's the step-by-step solution, emphasizing the properties used:

Start with the equation:

4x + 2 = 18

Use the Addition Property of Equality to isolate the variable "x." Subtract 2 from both sides to move the constant term to the other side of the equation:

4x + 2 - 2 = 18 - 2

Simplify both sides by applying the Addition Property of Equality:

4x = 16

To further isolate "x," use the Multiplication Property of Equality, which states that you can multiply or divide both sides of an equation by the same nonzero value. Divide both sides by 4 to solve for "x":

(4x) / 4 = 16 / 4

Simplify both sides using the Multiplication Property of Equality:

x = 4

So, in solving the equation 4x + 2 = 18, you primarily used the Addition Property of Equality and the Multiplication Property of Equality to isolate and solve for "x."

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True
False

Answers

It is false because stem and leaf diagrams show factors not pictures of symbols
False, pictures are used in picture graphs or pictographs
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