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fenix001 [56]
3 years ago
15

If $396 is invested at an interest rate of 13% per year and is compound continuously, how much will the investment be worth in 3

years?
Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0

Answer:

The investment at the end of the period will be $584.89.

Step-by-step explanation:

FV = PV e⁽ⁿˣ⁾

FV = Future Value = ?

PV = Present Value = $396

n = Interest Rate = 13%

x = time in years = 3

e = mathematical constant = 2.7183

FV = 396 x 2.7183⁽⁰°¹³ ˣ ³⁾

FV = 396 x 1.4770

FV = $584.89

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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 p
boyakko [2]

Answer:

  • large: 40 lbs
  • small: 20 lbs

Step-by-step explanation:

A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.

Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...

  L + S = 60 . . . . . . combined weight is 60 lbs

  70L +60S = 4000 . . . . weight of boxes in the truck

__

We can solve this by substituting for s in the second equation.

  70L +60(60 -L) = 4000

  10L = 400 . . . . . . . . . subtract 3600, simplify

  L = 40

  S = 60 -L = 20

A large box weighs 40 pounds; a small box weighs 20 pounds.

7 0
2 years ago
[SCREENSHOT INCLUDED] Which of the following is the best estimate of f '(2) based on this table of values?
mel-nik [20]

Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.

The rate of change <u>from x = 0 to x = 2</u> is given by:

r_1 = \frac{2 - (-16)}{2 - 0} = \frac{18}{2} = 9

From <u>x = 2 to x = 4</u>, it is given by:

r_2 = \frac{24 - 2}{4 - 2} = \frac{22}{2} = 11

The average of these rates is:

A = \frac{r_1 + r_2}{2} = \frac{9 + 11}{2} = 10

Hence, the best estimate of f '(2) based on this table of values is of 10.

To learn more about derivatives, brainly.com/question/18590720

6 0
2 years ago
What is the formula to find radius of the circle
klio [65]

Answer:

R= diameter ÷ 2

Step-by-step explanation:

the radius is half the diameter.

7 0
2 years ago
4 tomatoes cost $3.40 what is the unit rate
IRINA_888 [86]
The unit rat is the cost per 1 unit
cost per 1 tomatoe

3.4/4=1.7/2=0.85/1

unit rate is $0.85 per tomatoe
7 0
3 years ago
General term for -13, -11, -9, -7
timurjin [86]

The general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.

<h3>Arithmetic progression</h3>

-13, -11, -9, -7

  • First term, a = -13
  • Second term = -11

Common difference, d = Second term - first term

= -11 - (-13)

= -11 + 13

= 2

Therefore,

Tn = a + (n - 1)d

Where,

  • n = number of terms

Tn = a + (n - 1)d

= -13 + (n - 1)2

= -13 - 2n - 2

Tn = -15 - 2n

So therefore, the general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.

Learn more about arithmetic progression:

brainly.com/question/6561461

#SPJ1

5 0
2 years ago
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