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sdas [7]
3 years ago
9

3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually.(a) Write a

n equation to represent the amount of money in the account as a function of time in years.(b) Find the amount of time it takes for the account balance to reach $900. Show your work.
Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

$900 = $500 * 0.015 * B

Step-by-step explanation:

Intrest = Principal * Rate * time

Total Amount= Principal + Intrest

B = years

$500 = Principal

1.5% = Rate (0.015)

$900= Total amount

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Auntie Anne's Pretzel pays $9,275 as a monthly fee to rent space in the mall and costs $0.50 to make each pretzel. The expenses
Gala2k [10]

Answer:

4123 or 4122 somewhere around that.

Step-by-step explanation:

4 0
3 years ago
What is 17.5 of 50???
ValentinkaMS [17]
17.5% of 50 = 0.175×50 = 8.75
 = 8 3/4
 = 35/4
7 0
4 years ago
Question 5 Multiple Choice Worth 1 points)
Inessa05 [86]

Answer:

Bunny Hill Ski Resort:

y = 10x + 35

Diamond Ski Resort:

y = 5x + 40

Point where the cost is the same:

(1, 45)

Step-by-step explanation:

The question tells us that:

$35 and $40 are initial fees

$10 and $5 are hourly fees

This means that x and y will equal:

x = number of hours

y = total cost of ski rental after a number of hours

So we can form these 2 equations:

y = 10x + 35

y = 5x + 40

Now we are going to use System of Equations to find what point the cost of both ski slopes is the same.

Because they both equal y, we can set the equations equal to each other:

10x + 35 = 5x + 40

And we use basic algebra to solve for x:

10x + 35 = 5x + 40

(subtract 5x from both sides)

5x + 35 = 40

(subtract 35 from both sides)

5x = 5

(divide both sides by 5)

x = 1

Remember, x equals the number of hours.

That means when your rent out the skis for 1 hour, you will get the same price of $45 (you find the price by plugging in 1 into both of the equations)

Hope it helps (●'◡'●)

6 0
3 years ago
Let x be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by f(x)=⎧⎩⎨⎪⎪⎪
sattari [20]

Option a is correct. The calculated answer is 0.150

<h3>How to get the value using the cdf</h3>

In order to get  P(0.5 ≤ X ≤ 1.5).

This can be rewritten as

p = 0.5

and P = 1.5

We have the equation as

\frac{1}{16} x^{2}

This would be written as

1.5²/16 - 0.5²/16

= 0.1406 - 0.015625

= 0.124975

This is approximately 0.1250

Read more on cdf here:

brainly.com/question/19884447

#SPJ1

<h3>complete question</h3>

Use the cdf to determine P(0.5 ≤ X ≤ 1.5).

a) 0.1250

b) 0.0339

c) 0.1406

d) 0.0677

e) 0.8750

f) None of the above

4 0
2 years ago
Could someone explain this to me?
Ilya [14]
This is a simple differentiation problem. Let's start by taking the derivative of both sides (with respect to x):
5y^4\frac{dy}{dx}+6y^2x+6x^2y\frac{dy}{dx}+20x^3 = 0

Simplify:
\frac{dy}{dx} (5y^4+6x^2y) + 6y^2x+20x^3 = 0

Solve for dy/dx:
\frac{dy}{dx} = \frac{-6y^2x-20x^3}{5y^4+6x^2y}

Now, plug in the given points:
\frac{dy}{dx} = \frac{-6(2)^2(-1)-20(-1)^3}{5(2)^4+6(-1)^2(2)} = \frac{24+20}{80+12}

Further simplification gives:
\frac{dy}{dx}|_{(2,-1)} =\frac{44}{92} =  \frac{11}{23}

So, your answer is 11/23 or B.
7 0
4 years ago
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