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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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a port and a radar station are 2 mi apart on a straight shore running east and west. a ship leaves the port at noon traveling no
Rom4ik [11]

Answer:

The rate of change of the tracking angle is 0.05599 rad/sec

Step-by-step explanation:

Here the ship is traveling at 15 mi/hr north east and

Port to Radar station = 2 miles

Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles

Therefore the ship, port and radar makes a triangle with sides

2, 7.5 and x

The value of x is gotten from cosine rule as follows

x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04

x = 6.25 miles

By sine rule we have

\frac{sin A}{a} = \frac{sin B}{b}

Therefore,

\frac{sin 45}{6.25} = \frac{sin \alpha }{7.5}

α = Angle between radar and ship α

∴ α = 58.052

Where we put

\frac{sin 45}{6.25} = \frac{sin \alpha }{x} to get

\frac{x}{6.25} = \frac{sin \alpha }{sin 45} and differentiate to get

\frac{\frac{dx}{dt} }{6.25} = cos\alpha\frac{\frac{d\alpha }{dt}  }{sin 45}

\frac{15sin45 }{6.25cos\alpha } =\frac{d\alpha }{dt}  }= 3.208 degrees/second = 0.05599 rad/sec.

6 0
3 years ago
You watch x minutes of television on monday the same amount on Wednesday and 30 minutes on Friday
finlep [7]

Answer:

x+x+30 is the required expression.

Step-by-step explanation:

You watch x minutes of television on Monday

An since, the same amount on Wednesday that means x minutes on Wednesday

And 30 minutes on Friday

Since,  we have to tell the expression that represents the total amount in the given situation that means

x+x+30 is the required expression.

6 0
3 years ago
Read 2 more answers
Can you help me , would this answer be 1 ?
lidiya [134]

Step-by-step explanation:

Y=90° as its a right angled triangle

3 0
3 years ago
Read 2 more answers
A ski resort charges a fee for renting skis or snowboards that is proportional to the cost of admission. The admission cost for
Softa [21]

The total cost for snowboarding is $124 because: 32 + 54 + 38 = 124

7 0
3 years ago
Which is bigger, 12.5 miles or 25 kilometers?
sp2606 [1]
25 kilometers would be bigger because 12.5 miles is 20.1168 kilometers. 25 kilometers is 15.5343 miles.


6 0
3 years ago
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