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3 years ago

How much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.

Mathematics

1 answer:

mash [69]3 years ago

3 0

Answer:

The final balance is $5,796.37.

The total compound interest is $796.37.

Step-by-step explanation:

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Write the equation of the conic section with the given properties:

timurjin [86]

Answer:

$\frac{x^2}{64} + \frac{y^2}{25} =1$

Step-by-step explanation:

An ellipse with vertices (-8, 0) and (8, 0)

Distance between two vertices = 2a

Distance between (-8,0) and (8,0) = 16

2a= 16

so a= 8

Vertex is (h+a,k)

we know a=8, so vertex is (h+8,k)

Now compare (h+8,k) with vertex (8,0) and find out h and k

h+8 =8, h=0

k =0

a minor axis of length 10.

Length of minor axis = 2b

2b = 10

so b = 5

General formula for the equation of horizontal ellipse is

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b} =1$

a= 8 , b=5 , h=0,k=0. equation becomes

$\frac{(x-0)^2}{8^2} + \frac{(y-0)^2}{5} =1$

$\frac{x^2}{64} + \frac{y^2}{25} =1$

5 0

3 years ago

1/8 the sum of 23 and 17

jok3333 [9.3K]

5 hope this helps you

6 0

3 years ago

Read 2 more answers

A comet travels at an average speed of 273,000 km/h.

vaieri [72.5K]

Answer: 52,416,000 km

Step-by-step explanation:

If a comet travels 273,000 km/hr

1) Multiply 273,000 km by 24 hours to find how far the comet travels in one day

2) multiply the answer from 1 by 8 to determine how far it travels in 8 days

1) $\frac{273,000 km}{hr}$ * $\frac{24 hr}{1 day}$ = $\frac{6,552,000km}{day}$ (hours cancel out)

2) $\frac{6,552,000km}{day}$ *8 day= 52,416,000 km in 8 days

The comet approximately travelled 52,416,000km from when it began to travel to when it reached Earth. Hope this helped :)

5 0

3 years ago

Last year Chesa made 32 one-cup servings of soup for a school party this year she will make two times the amount of soup that sh

bogdanovich [222]

So she made 32 cups last year...she made 2 times as much this year...so she made 2(32) = 64 cups this year.

1 gallon = 16 cups
64/16 = 4 gallons
The answer is Chesa made 4 gallons of soup

6 0

3 years ago

21 increased by twice Gail's height<br> Use the variable g to represent Gail's height.

dmitriy555 [2]

The expression represented by 21 increased by twice Gail's height is 21 + 2g

<h3>What are expressions?</h3>

Expressions are mathematical statements that are represented by variables, coefficients and operators

<h3>How to translate the algebraic expression?</h3>

The expression is given as

21 increased by twice Gail's height

Where

g represents Gail's height

So, we have

21 increased by twice Gail's height ⇒ 21 increased by twice g

Twice means 2*

So, we have

21 increased by twice Gail's height ⇒ 21 increased by 2g

increased by means +

So, we have

21 increased by twice Gail's height ⇒ 21 + 2g

Hence, the expression represented by 21 increased by twice Gail's height is 21 + 2g