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
mart [117]
3 years ago
9

Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5

15 Which investment will be worth more at the end of the investment period?
Mathematics
2 answers:
OverLord2011 [107]3 years ago
8 0

Answer:

investment A will be worth than investment B at the end of the investment period.

Step-by-step explanation:

lana [24]3 years ago
3 0
To solve this we are going to use the simple interest formula: A=P(a+rt)
where
A is the final amount.
P is the initial investment. 
r is the interest rate in decimal form.
t is the time in years. 

Investment A. We know that the initial investment is $10,000, so P=10000. We also know that the number of years is 5, so t=5. To convert the interest rate to decimal form, we are going to divide the rate by 100%
r= \frac{3}{100} =0.03
Lets replace those values in our formula to find A:
A=P(a+rt)
A=10000(1+0.03*5)
A=11500

Investment B. P=8000, t=15, and r= \frac{2.8}{100} =0.028.
A=P(a+rt)
A=8000(1+0.028*15)
A=11360

We can conclude that investment A will be worth than investment B at the end of the investment period.
You might be interested in
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specime
MrRissso [65]

Answer:

We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

Step-by-step explanation:

We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;

1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.

Let \mu = <u><em>true average percentage of organic matter</em></u>

So, Null Hypothesis, H_0 : \mu = 3%      {means that the true average percentage of organic matter in such soil is 3%}

Alternate Hypothesis, H_A : \mu \neq 3%      {means that the true average percentage of organic matter in such soil is something other than 3%}

The test statistics that will be used here is <u>One-sample t-test statistics</u> because we don't know about the population standard deviation;

                         T.S.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean percentage of organic matter = 2.481%

             s = sample standard deviation = 1.616%

            n = sample of soil specimens = 30

So, <u><em>the test statistics</em></u> =  \frac{2.481-3}{\frac{1.616}{\sqrt{30} } }  ~ t_2_9

                                     =  -1.76

The value of t-test statistics is -1.76.

(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics doesn't lie within the range of critical values of t, so we have <u><em>sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have <u><em>insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

8 0
4 years ago
The higher interest rate of a cash advance on a credit card with an existing balance can be eliminated by paying the cash advanc
finlep [7]

The answer is False.

8 0
3 years ago
Read 2 more answers
What is slope-intercept form
mario62 [17]
The slope intercept form is y=mx+b. m is the slope, b is the y intercept,
7 0
3 years ago
Read 2 more answers
Which expression represents the series 1+5+25+125+625
tankabanditka [31]
a_n=5^n
where n starts at 0.

a_n=5^{(n-1)}
where n starts at 1.
7 0
3 years ago
What is 5(2 + x) = 5 ?
Alex787 [66]

5(2+x)=5

or, 10+5x=5

or, 5x= -5

or, x= -1

Hope it helps

8 0
3 years ago
Read 2 more answers
Other questions:
  • Start at 158. Create a pattern that adds 8. Stop when you have 5 numbers
    9·2 answers
  • Can someone Help me pls
    6·2 answers
  • Matthew bought 4 new compact discs at $16.99 each and a carrying case for $35.89. He paid 2007-03-04-00-00_files/i0250000.jpg% s
    12·2 answers
  • For a loan of $40,000 at 12% for 10 years, how much do you wind up paying back?
    13·1 answer
  • What is the correct answer?
    9·1 answer
  • for 15 hours of work a plumber charges $330 if he charges the same amount for each hour of work which table shows the correct re
    6·2 answers
  • Studies have shown that passengers in a vehicle increase
    15·1 answer
  • What is the value of m in this proportion?<br><br> 1/5/2/3=1/4/m
    11·1 answer
  • How would I solve this problem???
    10·1 answer
  • If f(x) = 3x² and g(x)=2x-3, find f(g(x)).
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!