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
Julli [10]
3 years ago
12

Stella initially put $5 into a piggy bank. Over the next few years she continued to put all of her coins in the piggy bank, such

that each year the amount of money in the piggy bank doubled. Determine the equation that represents this situation and use it to decide which of the following graphs represents the amount of money, A(x), in Stella's piggy bank after x years.

Mathematics
2 answers:
STatiana [176]3 years ago
8 0

Answer:

The equation is A(x) = 5(2)ˣ and the graph is Graph Z.

Step-by-step explanation:

Equations on compounding interest (which this essentially is) are of the form

A(x) = p(1+r)ˣ, where p is the amount of principal, r is the interest rate and x is the amount of time.

Since Stella begins with $5, the principal is 5.

Since the amount of money doubles each year, this means we add an extra 100%; this makes r equal to 1.

This gives us the equation

A(x) = 5(1+1)ˣ = 5(2)ˣ

This graph will not be linear, as there is not a constant rate of change (there are different amounts added every year).

She begins with $5.  This means the y-intercept of the graph will be 5.

After 1 year, the amount of money doubles; this makes it 10.  The only graph that is not linear and goes through (0, 5) and (1, 10) is graph Z.

levacccp [35]3 years ago
3 0

Answer: Z.


Step-by-step explanation:

They want you to figure formula then find right graph, but do it fastest way. If it doubles each year, graph can't be straight line, eliminate Y.

A(0) has to be $5, eliminate W. A(1) has to be double A(0), eliminate X. Check: Z shows A(1) is 10, A(2) is 20.

You might be interested in
Which of the following are congruence transformations? Check all that apply.
Vaselesa [24]
Congruence refers to the exact similarity in terms of the dimensions of a shape or polygon including as well as the angles of the shape. Rotating does not change the image, as well as reflecting and translating. Hence the answers that apply are A, D and E. 
5 0
3 years ago
Read 2 more answers
The null and alternative hypotheses are given. Determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tail
olganol [36]

Answer:

Two tailed test

Parameter tested= population standard deviation

Step-by-step explanation:

1) Important concepts

The chi-square test if the standard deviation of a population is equal to a given value. We can conduct the test two-side or a one-side.

For the case of two-side we want to check if the population deviation is equal to some value or no. And for the case of one-side we want to check if the population devition is higher or lower than a given value.

The system of hypothesis are:

\sigma=\sigma_o Null hypothesis

\sigma \neq \sigma_o Alternative hypothesis

That's when we use the two sided version but we can have other's alternative hypothesis if we use one-side test:

\sigma < \sigma_o Alternative hypothesis

\sigma > \sigma_o  Alternative hypothesis

The test statistic to check the hypothesis is:

t=(N-1)(\frac{s}{\sigma_o})^2

For this special case the value of \sigma_o =99

Where N represent the sample size and s is the sample standard deviation. The ratio \frac{s}{\sigma_o} is important since allows to compare the ratio of the sample standard deviation to the specified value. If this ratio is different from 1, we will have evidence that we can reject the null hypothesis.

Using a significance level \alpha we can find the critical region for the possible alternative hypothesis:

t>\chi_{\alpha,N-1}^2 for the upper one tailed option

t for the lower one tailed option

t for the two tailed option

The N-1 represent the degrees of freedom for the chi square distribution.

2) Solving the question

Based on all the info from above we can conclude that:

Type of test= Two tailed test

Parameter tested=population Standard deviation

And they want to check if the population deviation differs from 99

7 0
3 years ago
Please help will give brainliest it’s for a test<br><br> Round 29.20 to 30 <br> Show work please
djverab [1.8K]

Answer:

you cant round that to 30

Step-by-step explanation

29.20

29.2 2 is less than 5

so you cant round you can only round if the .tens place is 5 or more

4 0
3 years ago
What will raising a quantity to a negative exponent would produce?
lord [1]
If you're adding a positive, the negative value would decrease. If you're adding a negative, the negative value will increase. Hope this helps.
6 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH THIS!!! 25 POINTS ALSO PLEASE TRY TO ANSWER A AND B
professor190 [17]

Step-by-step explanation:

____________________

5 0
3 years ago
Other questions:
  • 13POINTS!!!
    13·1 answer
  • For each reaction between a ketone and an amine, draw the curved arrow(s) to show the first step of the mechanism, then draw the
    9·1 answer
  • Colin plants 12 trees in an hour. What is the dependent and independent variable?
    5·1 answer
  • When Sam simplified the expression 3.5 - (-4.1), she got -0.6.
    13·2 answers
  • How many permutations can be made from the letters m, n, o, p, and q taken 3 at a time? 6 30 60
    10·1 answer
  • Find the value of the expression: 3x0 for x=2.6
    12·1 answer
  • How are you suppose to do this?
    12·1 answer
  • Ramon earns $1,610 each month and pays $53.40 on electricity. To the nearest tenth of a percent, what percent of Ramon's earning
    15·1 answer
  • Does this represent a function?
    8·2 answers
  • What is 44÷33= please for answer​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!