1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
konstantin123 [22]
3 years ago
13

A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

r 4 years, to the nearest hundredth?
Mathematics
2 answers:
Oliga [24]3 years ago
5 0

Answer:

442.44

Step-by-step explanation:

ELEN [110]3 years ago
4 0

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, q_1 = Q- r \times Q

q_1 = Q(1-r)\cdots(i)

The value of quantity after 2 months, q_2 = q_1- r \times q_1

q_2 = q_1(1-r)

From equation (i)

q_2=Q(1-r)(1-r)  \\\\q_2=Q(1-r)^2\cdots(ii)

The value of quantity after 3 months, q_3 = q_2- r \times q_2

q_3 = q_2(1-r)

From equation (ii)

q_3=Q(1-r)^2(1-r)

q_3=Q(1-r)^3

Similarly, the value of quantity after n months,

q_n= Q(1- r)^n

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

q_{48}=Q(1-r)^{48}

Putting Q=6200 and r=5.5%=0.055, we have

q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32

Hence, the value of quantity after 4 years is 410.32.

You might be interested in
What is the measure of angle A?
ValentinkaMS [17]

Answer:

A = 29

Step-by-step explanation:

a triangle is equal to 180 so the bottom triangle you add 34 + 26 = 60 --> 180-60 = 120  ---> the triangle on top is 120 + 31 = 151 -----> 180-151 = 29

6 0
3 years ago
During the holiday sale at blooming department store all sweaters are discounted 30% on blockbuster Saturday the store discounts
RSB [31]

Answer: He would pay $62.37 for it on blockbuster Saturday.

Step-by-step explanation:

Since we have given that

Original price of sweater = $99

Discount on blockbuster Saturday = 30%

Additional discount on sweater = 10%

So, According to question,

Net\ Price=Price\times \frac{100-Discount}{100}\\\\\text{As there are 2 successive discounts }\\\\So,\\\\Net\ Price=Price\times \frac{100-D_1}{100}\times\frac{100-D_2}{100}

99\times \frac{100-30}{100}\times \frac{100-10}{100}\\\\=99\times \frac{70}{100}\times \frac{90}{100}\\\\=\$62.37

Hence, he would pay $62.37 for it on blockbuster Saturday.

3 0
3 years ago
You are going to visit a relative out of town and want to go to the gym while visiting. Hunkey Heros charges a registration fee
iragen [17]

The number of months when the gyms cost the same is 5 months.

<h3>When would the cost be the same?</h3>

Total cost of joining the gym = registration fee + (cost per month x number of months)

  • Hunkey Heros = $50 + $20m
  • Zipity-zapity- zap-that-fat = $70 + $10m

When the gyms costs are the same, the two above equations would be equal to each other:

50 + 20m = 70 + 10m

20m - 10m = 70 - 20

10m = 50

m = 50 / 10

m = 5

To learn more about costs, please check: brainly.com/question/25879561

#SPJ1

4 0
2 years ago
You move left 4 units and right 3 units. You end at (-2, -1). Where did you start?
Evgesh-ka [11]

Answer:

-2 y

Step-by-step explanation:

6 0
3 years ago
According to this diagram, what is tan 62 degrees ?
sammy [17]
Check the picture below

in case you want to know how to get who's the adjacent or opposite, notice in the picture, if you put your eye on the angle itself, what you'd be facing is the opposite side, the adjacent is the side touching the angle.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Given:An = [6 n/(-4 n + 9)]For both of the following answer blanks, decide whether the given sequence or series is convergent or
    15·1 answer
  • Please Help! Will give brainliest to first correct answer.
    12·2 answers
  • -4(8n-3)=84 how do i do this
    9·1 answer
  • I need help with this
    13·1 answer
  • Find the intercepts of the line that contains each pair of points <br> (-1,-4) (6,10)
    15·2 answers
  • To which graph does the point (2, 4) belong?
    10·2 answers
  • You are skiing down a mountain with a vertical height of 1800 feet. the distance from the top of the mountain to the base is 360
    13·1 answer
  • A store is having a 20% off sale. The final sale price of the items will include 5% sales tax.
    6·2 answers
  • Water tank A has 480 gallons of water in it and is leaking 40 gallons per minute. After how many minutes will both tanks be hold
    7·1 answer
  • What is the area of a picture with side<br> lengths that are 12 inches?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!