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castortr0y [4]
2 years ago
15

Suppose you invest $1700 at an annual interest rate of 8.8% compounded continuously. How much will you have in the account after

7.5 years?
Mathematics
2 answers:
Fittoniya [83]2 years ago
8 0

Answer:

after 7.5 years you will have: 3200.11

The total compound interest is 1,447.56.

Step-by-step explanation:

\frac{8.8}{100} =  0.088\\1700(1+0.088)^{7.5} = 3200.11\\

shepuryov [24]2 years ago
4 0
After 7.5 years, you will have $3,200.12
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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)
malfutka [58]

Answer:

The magnitude is  \Delta f(0,8)  =  72

The  direction  is  i i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

   The function is  f(x, y) =  9sin(xy) \ \ \

    The point considered is  (0,8 )

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

            \Delta f(x,y) =  [\frac{\delta  f(x,y)}{\delta x } i + \frac{\delta  f(x,y)}{\delta y } j  ]

             \Delta f(x,y) =  [\frac{\delta  (9sin(xy))}{\delta x} i  + \frac{\delta  (9sin(xy))}{\delta y} i   ]

            \Delta f(x,y) = [9y cos (x,y) i +  9xcos (x,y) j]

At  (0,8 )

            \Delta  f (0,8) =  [9(8) cos(0* 8)i  + 9(8) sin(0* 8)j  ]

            \Delta  f (0,8) = 72 i

3 0
2 years ago
You need to buy 5 notebooks for your classes at school.Each notebook costs $2.79. What is the total cost before tax?
lesya692 [45]

Answer:

$13.95

Step-by-step explanation:

You need to multiply the 5 notebooks with the costs of each notebook, which gives you the total costs before tax.

7 0
3 years ago
If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?
muminat

Answer:

The expression represents JL is<u> 3x - 2</u>.

Step-by-step explanation:

Given:

JM = 5x – 8 and LM = 2x – 6.

Now, to find expression represents JL.

JM = JL + LM

<em>Subtracting both sides by LM we get:</em>

JM - LM = JL.

JL = JM - LM

Now, putting the expression to get JL:

JL=5x-8-(2x-6)

JL=5x-8-2x+6

JL=3x-2.

Therefore, the expression represents JL is 3x - 2.

8 0
3 years ago
Sam bought some toys. He bought a baseball for $5.88, and paid $8.41
myrzilka [38]

Answer:

$5.71

Step-by-step explanation:

20-5.88=14.12

14.12-8.41=5.71

6 0
2 years ago
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What is the Graph y=x+4
Marizza181 [45]

Answer:

It is a line with a positive slope and positive intercept

Step-by-step explanation:

If you want it in SF, -x + y = 4

3 0
2 years ago
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