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
torisob [31]
3 years ago
14

HELP i’m having trouble with my homework assignments

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0

Answer:

Collin: about $401 thousand

Cameron: about $689 thousand

Step-by-step explanation:

A situation in which doubling time is constant is a situation that can be modeled by an exponential function. Here, you're given an exponential function, though you're not told what the variables mean. That function is ...

P(t)=P_0(2^{t/d})

In this context, P0 is the initial salary, t is years, and d is the doubling time in years. The function gives P(t), the salary after t years. In this problem, the value of t we're concerned with is the difference between age 22 and age 65, that is, 43 years.

In Collin's case, we have ...

P0 = 55,000, t = 43, d = 15

so his salary at retirement is ...

P(43) = $55,000(2^(43/15)) ≈ $401,157.89

In Cameron's case, we have ...

P0 = 35,000, t = 43, d = 10

so his salary at retirement is ...

P(43) = $35,000(2^(43/10)) ≈ $689,440.87

___

Sometimes we like to see these equations in a form with "e" as the base of the exponential. That form is ...

P(t)=P_{0}e^{kt}

If we compare this equation to the one above, we find the growth factors to be ...

2^(t/d) = e^(kt)

Factoring out the exponent of t, we find ...

(2^(1/d))^t = (e^k)^t

That is, ...

2^(1/d) = e^k . . . . . match the bases of the exponential terms

(1/d)ln(2) = k . . . . . take the natural log of both sides

So, in Collin's case, the equation for his salary growth is

k = ln(2)/15 ≈ 0.046210

P(t) = 55,000e^(0.046210t)

and in Cameron's case, ...

k = ln(2)/10 ≈ 0.069315

P(t) = 35,000e^(0.069315t)

You might be interested in
Witch one of these is correct
Lady bird [3.3K]
42:105 is the answer
4 0
3 years ago
Read 2 more answers
Solve for a in terms of b and c:3a+4b=c
MariettaO [177]
We want a in terms of b and c:     <span>3a+4b=c

Isolate 3a on the left side:  3a = c - 4b
Divide all terms by 3:

                                             a = c/3 - 4b/3           (answer)</span>
8 0
3 years ago
a triangle pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square meters. find
sweet [91]
Area of the base = 1/2 * 10 *  5sqrt3 =  25 sqrt3

Total surface area = 25 sqrt3 + 3 *  1/2 * 10 * slant height = 214.5

25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3

h =   (214.5 - 25sqrt3() / 15

=  11.41 cm to nearest hundredth
6 0
3 years ago
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the
Gekata [30.6K]

Equation (B) "y = 3x + 10" represents the growth of the puppy.

<h3>What are equations?</h3>
  • An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
  • Like 3x plus 5 equals 15, for example.
  • Different types of equations exist, such as linear, quadratic, cubic, and others.
  • The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.

So, the equation that represents the situation:

  • The weight increase is: (10, 13, 16, 19, 22, 25)
  • We can observe that every time, there is a rise of 3lbs of weight.
  • Now, let 10 be a constant as the weight is starting from 10 lbs.
  • And 'x' be the number of time Salomon tracks the weight.

Then:

  • y = 3x + 10

For example, Salomon checks the weight for the 6th time then:

  • y = 3x + 10
  • y = 3(5) + 10
  • y = 15 + 10
  • y = 25

So, the equation is correct.

Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.

Know more about equations here:

brainly.com/question/28937794

#SPJ13

The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}

Which equation represents the growth of the puppy? Select one:

A. y = x + 3

B. y = 3x + 10

C. y = 10x + 3

D. y = x + 10

8 0
1 year ago
(3x+1)^1/3=4. How to solve?
xz_007 [3.2K]

Answer:

exact form: 11/3

decimal form: 3.6666...

Mixed number form: 3 2/3

8 0
3 years ago
Other questions:
  • Suppose a horse is galloping at 19 mph toward a clown, and the clown is racing toward the horse on an ATV which can sustain a sp
    8·1 answer
  • Qué fuerza necesitamos para levantar un peso de 300kg con una polea fija o simple​
    11·1 answer
  • Mrs. Herring buys a car for $28,750 and the value of the car decreases at 12.5% each year. How much is her car worth after 5 yea
    15·1 answer
  • I need help on this please some one can help me solve this p4
    5·2 answers
  • The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which p
    7·1 answer
  • A hiking trail is 150 miles long directional signs are posted along the trail every 1/3 mile how many signs are posted along the
    11·2 answers
  • A milk tank at a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of its
    6·1 answer
  • Each serving of the fruit soda she makes. Gabi has 2/3 cup of pineapple juice and 1/2 cup of cranberry juice. How many cups of f
    9·1 answer
  • Add 35kg 15g and 17.05kg​
    6·1 answer
  • Which has both 4 &amp; -4 as possible values of y? <br><br> A.) 8<br> B.) 64<br> C.) 16
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!