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Vesna [10]
3 years ago
9

A quantity with an initial value of 8100 decays continuously at a rate of 0.95% per year. What is the value of the quantity afte

r 96 months, to the nearest hundredth?
Mathematics
2 answers:
aliina [53]3 years ago
7 0

Answer:

7507.21

Step-by-step explanation:

mafiozo [28]3 years ago
6 0

Answer:

20163.299

Step-by-step explanation:

Initial value = 8100

Rate r = 0.95% = 0.0095

t = 96 month

Therefore, Value of the quantity after 39 decades = Initial value*e^(rt)

= 8100*e^(0.0095*96)

= 8100*e^(0.912)

= 8100*2.48929615041

= 20163.298818321

= 20163.299

So, the value of the quantity after 96 months is 20163.299

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In the following picture, (QS) ̅ and (PR) ̅ are chords of the circle. Find the length of QS. (Remember to show formulas/equation
Inessa [10]
<h3>Answer: QS is 37 units long</h3>

=========================================

Explanation:

PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.

PN*NR = QN*NS

24*14 = 21*(2x-4)

336 = 42x-84

336+84 = 42x-84+84 .... add 84 to both sides

420 = 42x

42x = 420

42x/42 = 420/42 ...... divide both sides by 42

x = 10

We know that x = 10 so we can use it to find the length of NS

NS = 2x-4

NS = 2*10-4

NS = 20-4

NS = 16

Therefore,

QS = QN + NS

QS = 21 + 16

QS = 37

--------

note: as a check,

PN*NR = QN*NS

24*14 = 21*16

336 = 336

we get a true equation, so we have the proper values

4 0
3 years ago
8. What happens to acceleration when the velocity changes by the same<br> amount over time?
Nookie1986 [14]

Answer:

The acceleration will also be uniform when velocity changes by the same amount over time.

Step-by-step explanation:

Acceleration is defined as a rate of change of velocity per unit time.

Unit of the acceleration is m/s^{2}

So,here when the velocity changes by the same amount over time, the change here will be <u>UNIFORM</u>.

Hence, the acceleration will also be uniform when velocity changes by the same amount over time.

3 0
3 years ago
What is the simple interest rate <br>​
postnew [5]

Answer:

Uhh maybe 20284646392

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ME ASAP!!
Dmitry_Shevchenko [17]
13 cm+ 13 cm= 26 cm, 26 cm is the answer to Part B.
3 0
4 years ago
18.96 x 2.03 correct to 2 significant figures equals what?
Andreas93 [3]

9514 1404 393

Answer:

  38

Step-by-step explanation:

The product of the given numbers is 38.4888. Rounding this to two significant digits gets you 38.

6 0
3 years ago
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