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
lianna [129]
3 years ago
9

Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What mul

tiplicative rate of change should Hal use in his function?
Mathematics
2 answers:
Vitek1552 [10]3 years ago
3 0

P(1) = P(0) [exp (rt)]
9,800 = 10,000 (0.98)^1

r = loge<span> (0.98)  = ln (0.98) = -0.0202
</span>
<span>P(t) = P(0)[exp(-0.0202t)]</span>
fgiga [73]3 years ago
3 0
His function should look like
M=10000*(1.00-0.02)^{y}
or
You might be interested in
What are all the exact solutions of 2 sin^2 x- sin x = 0
alexandr1967 [171]
Factor:

2sin^2x-sinx = 0

sinx(2sinx - 1) = 0

Therefore the solutions are when:

sin x = 0
And
sinx = 1/2

So sinx = 0
is true when x = 0 and pi  and all the angles coterminal with these points.  Thus, the answer is x = pi*n, (where n is some integer)

sinx = 1/2
is true when x = pi/6 and 5pi/6 and the angles coterminal with these points.
Thus, the answer is x = pi/6 + 2pi*n (where n is some integer)
and x = 5pi/6 + 2pi*n (where n is some integer)
7 0
3 years ago
Read 2 more answers
The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h
DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

<em>Let X = lifetime of a battery in a certain application</em>

So, X ~ N(\mu=16,\sigma^{2} =2^{2})

The z-score probability distribution for normal distribution is given by;

               Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean lifetime = 16 hours

            \sigma = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

  P(X > 19) = P( \frac{  X -\mu}{\sigma} > \frac{19-16}{2} ) = P(Z > 1.50) = 1 - P(Z \leq 1.50)

                                              = 1 - 0.9332 = 0.0668

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0
3 years ago
288 miles on 12 gallons of fuel; 240 miles on 10 gallons of fuel
Arisa [49]
288 divided by 12 = 24
240 divided by 10 = 24
6 0
3 years ago
For the pair of points, find the slope of the line that passes through both points. (1,1) and (5,7)
zvonat [6]

Answer: 3/2

Step-by-step explanation:

\frac{7-1}{5-1}=\frac{6}{4}=\frac{3}{2}

5 0
2 years ago
How do I prove that a quadrilateral is a rectangle?
maw [93]
I think you want to prove that a rectangle is a quadrilateral. You can prove this with definitions. The definition of a quadrilateral is that it is a shape with four sides. Since a rectangle has four sides, that proves that a rectangle is a quadrilateral. 
7 0
2 years ago
Read 2 more answers
Other questions:
  • I need help with What is 1.8÷2.40
    7·2 answers
  • A foul tip of a baseball is hit straight upward from a height of 4 feet with an initial velocity of 88 feet per second. The func
    7·1 answer
  • How do you write the equation in slope intercept form given (2,2) and (0,-2)?
    5·1 answer
  • Joseph tweets 13 times a day.What defines each variable and write an algebraic expression to describe the number of post after a
    7·1 answer
  • Which unit is the best for measuring the distance between two cities?
    14·2 answers
  • Can someone help?????
    8·1 answer
  • there are 15 pieces of fruit in a bowl and 6 are them are apples. what precentage of pieces of fruit in the bowl are apples
    15·2 answers
  • Stella buys 5 pineapples for $4.50. How much would she pay if she bought 7 pineapples? (hint: find the unit rate first then mult
    7·2 answers
  • If I am 165 centimeter tall. And Roberto is 1.7 meters tall who is taller?
    13·2 answers
  • A newspaper article claimed: "the average cost of weekly groceries is $124.50." what statistical measurement are they most likel
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!