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nordsb [41]
2 years ago
6

If leticia invested $12,000 in an account in which the interest earned is continuously compounded at a rate of %2.5 find the tot

al amount after 15 years
Mathematics
1 answer:
Luda [366]2 years ago
6 0

Given:

Principal value = $12000

Rate of interest = 2.5%

To find:

Total amount after 15 years.

Solution:

Formula for amount discontinuously compounded interest is

A=Pe^{rt}

where, P is principal, r is rate of interest and t is time in years.

Substitute P=12000, r=0.025 and t=15 in the above formula.

A=12000e^{0.025(15)}

A=12000e^{0.375}

A=12000(1.45499141462)

A=17459.8969754

A\approx 17459.897

Therefore, the amount after 15 years is $17459.897.

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You are moving and need a rental truck. The rental company you have chosen charges a
Westkost [7]

Answer:

Step-by-step explanation:

This is a linear equation of the form y = mx + b, where m is the rate of change and b is the y-intercept, also known as the value of y when x = 0.  Our independent variable is the number of miles we travel, and we will call that x.  If we pay .20 per mile, and miles is "x", we represent that as .20x.  The 70 is the amount we will pay per day even if we drive 0 miles.  Therefore, the equation is:

y = .20x + 70.

I cannot graph this for you here.

We can choose a number of miles, say 100, and solve for our cost:

y = .20(100) + 70

y = 20 + 70

y = 90

We can expect to pay $90 if we drive 100 miles in a day.

6 0
2 years ago
Read 2 more answers
A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39)
borishaifa [10]
To solve this problem you must apply the proccedure shown below:

 1. The vertex i at <span>(0, 36) and a focus at (0, 39), then you have:

 a=36
 a^2=1296

 2. The directrix is:

 y=a^2=c
 c=39
 y=1296/39
 </span>y=432/13<span> 

 Therefore, the answer is the option D, which is: </span><span>D. y=± 432/13</span>
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2 years ago
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The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its s
lisabon 2012 [21]

The equation for the situation is 5x+6(0.95)=11.95

The solution to the equation is x=1.25

First, you must set up the equation.

5x+6(0.95)=11.95

Then, you must simplify the terms.

5x+5.7=11.95

Next, subtract 5.7 on both sides.

5x=6.25

Finally, divide 5 on both sides

x=1.25

6 0
2 years ago
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and
Black_prince [1.1K]

Answer:

0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

Step-by-step explanation:

The random variable X is normally distributed with a mean of 21 and standard deviation of 7

;

X ~ N(μ = 21 ; σ = 7)

X ~ N(21, 7)

Probability that a trial lasted atleast 24 days :

P(X ≥ 24) :

The standardized score :

Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286

Hence,

P(Z ≥ 0.4286) = 0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

6 0
2 years ago
You have decided to purchase a new Toyota 4Runner for $25,635. You have promised your daughter that the SUV will be hers when th
-Dominant- [34]

Ok so our two variables will be:

x=age y=price

Our equation is:

y= -3000x + $25,635


5 0
2 years ago
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