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iogann1982 [59]

3 years ago

8

Write a formula that describes the value of an initial investment of $1200, growing at an interest rate of 4%, compounded monthl

y

1 answer:

Flauer [41]3 years ago

4 0

Answer:

f(x)=1200(1.04)^n

Step-by-step explanation:

You might be interested in

Solve the differential equation. y' + 5xey = 0.

galben [10]

Answer:

The solution is $y = - ln(\frac{5}{2}x^{2} + C)$

Step-by-step explanation:

To solve the differential equation, we will find $y$

From the given equation, y' + 5xey = 0.

That is, $y' + 5xe^{y} = 0$

This can be written as

$\frac{dy}{dx} + 5xe^{y} = 0$

Then,

$\frac{dy}{dx} = - 5xe^{y}$

$\frac{dy}{e^{y}} = - 5x dx$

Then, we integrate both sides

$\int {\frac{dy}{e^{y}}} =\int {- 5x dx}$

$\int {e^{-y}dy }} =\int {- 5x dx}$

Then,

$-e^{-y} = -\frac{5}{2}x^{2} + C$

$e^{-y} = \frac{5}{2}x^{2} + C$

Then,

$ln(e^{-y}) = ln(\frac{5}{2}x^{2} + C)$

Then,

$-y = ln(\frac{5}{2}x^{2} + C)$

Hence,

$y = - ln(\frac{5}{2}x^{2} + C)$

5 0

3 years ago

anner bought 97 bottles of maple syrup. Each bottle contained 96.65 ounces of syrup. How many ounces of syrup did Tanner buy in

sergij07 [2.7K]

97·96.65 = 9375.05 ounces

5 0

3 years ago

Read 2 more answers

If the hypotenuse is c=a√2, then 6=a√2. In inches, what is the value of a?

Aloiza [94]

The value of a is 3√2 inches if it is given that the hypotenuse is c = a√2 and 6 = a√2. This can be obtained by using Pythagoras' theorem.

<h3>Calculate the value of a:</h3>

This question can be solved using Pythagoras' theorem,

If in a right angled triangle, hypotenuse is the longest side of the triangle and always opposite to the angle 90°, height and base are the two shorter sides which are adjacent to the angle 90°.

If hypotenuse = c, height = a and base = b then,

⇒ hypotenuse² = height² + base²

⇒ c² = a² + b²

Here in the question it is given that,

Hypotenuse of the triangle is c = a√2
6 = a√2 in inches ⇒ c = 6

Height and base is equal and both has the value of a ⇒ height = a and base = a

By using the Pythagoras' theorem we can write that,

⇒ hypotenuse² = height² + base²

⇒ 6² = a² + a²

⇒ 36 = 2a²

By dividing both sides of the equation by 2,

⇒ 18 = a²

⇒ a² = 18

By taking square on both side of the equation,

⇒ a = 3√2 inches

Hence the value of a is 3√2 inches if it is given that the hypotenuse is c = a√2 and 6 = a√2.

Learn more about Pythagoras' theorem here:

brainly.com/question/9005379

#SPJ1

3 0

2 years ago

Tyler painted 9/2 square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square

galben [10]

Answer:

He would need 3/4 a gallon to paint the wall

Step-by-step explanation:

6 0

3 years ago

Which expression can be used to fine the slope of a line containing the points (-3,2) and (7,-1)

Charra [1.4K]

Hello there! you can use the expression $\frac{ y_{1}-y_{2}}{x_{1}-x_{2} }$ !

To find slope, subtract the y values over the x values.

In this case:

2 - - 1 / - 3 - 7

3 / -10

So, -3/10 would be the slope of these points.

Hope this helps, have a great day!

7 0

4 years ago