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
Y_Kistochka [10]
3 years ago
14

How much money would you need to deposit today at 5% annual interest compounded monthly to have $20000 in the account after 9 ye

ars?
Mathematics
2 answers:
mario62 [17]3 years ago
7 0
20000=p(1+0.05/12)^12*9
Solve for p
P=20,000÷(1+0.05÷12)^(12×9)
P=12,764.49
Nana76 [90]3 years ago
5 0
$12,764.49 because 9 yrs = 108 months
<span>5% annual = (5/12)% per month = 5/1200
</span><span>FV = PV*(1 + 5/1200)^108 = 20000
PV = 20000/(1 + 5/1200)^108
PV = $12,764.49</span>
You might be interested in
To make 5 apple pies, you need 2 pounds of apples. How many pounds of apples would you need to make 20 pies?
Dmitrij [34]
10 pounds use division , 20/2=10 pounds of apples total
8 0
3 years ago
Half an hour after leaving her house Beverly was 20 miles from home. At this point she merged onto the highway and was traveling
N76 [4]

Answer:

1. 45.71 miles

2. 10 miles

3. 89.43 miles

4. 0.79 hr

5. 0.025 hr

Step-by-step explanation:

speed = distance/time

After 4 hrs Beverly was 200 miles from home , however she had spent 0.5hr travelling for 20 miles prior to getting to the highway.

Therefore;

Constant speed before Highway = 20/0.5 = 40 miles/hr

Constant speed at Highway = \frac{(200-20)}{(4-0.5)} = 51.43 miles/hr

1. in 1 hr beverly will have travelled;

⇒ (20 miles in 0.5 hr ) + (0.5 hr  at speed 51.43 miles/hr)

⇒ 20 + (0.5 x 51.43) = 45.71 miles

2. In 0.25 hr beverly had not reached the highway

⇒ distance = speed x time

⇒ distance = 40 x 0.25 = 10 miles

3. in 1.85 hrs beverly will have travvelld;

⇒ (20 miles in 0.5 hr ) + (1.35 hr at speed 51.43 miles/hr)

⇒ 20 + 69.43 = 89.43 miles

4. Time taken to get to 35 miles

⇒ (20 miles in 0.5 hr ) + (15 miles  at speed 51.43 miles/hr)

⇒ 0.5hr + (15/51.43) hr = 0.79 hr

5. Time taken to travel 1 mile

 ⇒ time = distance / speed = 1 mile  / 40 miles/hr

⇒ time = 0.025 hr

8 0
3 years ago
Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu
olchik [2.2K]

Answer:

a) s^2 =30^2 =900

b) \frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

c) 23.818 \leq \sigma \leq 41.112

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

s^2 =30^2 =900

Part b

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom are given by:

df=n-1=20-1=19

Since the Confidence is 0.90 or 90%, the significance \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

\chi^2_{\alpha/2}=30.144

\chi^2_{1- \alpha/2}=10.117

And replacing into the formula for the interval we got:

\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

Part c

Now we just take square root on both sides of the interval and we got:

23.818 \leq \sigma \leq 41.112

5 0
3 years ago
What is one light year in seconds need it to written out in the conversion format
ra1l [238]

In one year there are 365 days of 24 hours. Each hour has 60 minutes and each minute is 60 seconds long. So, 60s/min x 60 min/hr x 24hr/day x 365 days equals 31,536,000s.


Hope this helps you with your answer. If it is incorrect, then I am sorry.

8 0
3 years ago
Read 2 more answers
The scale on a drawing is 2:in:5yd. If a length on the drawing is 6 inches, what is the actual length.
Svetach [21]

Answer:

15 yards

Step-by-step explanation:

proportion:

2/5:6/X

2x=30

x=15

3 0
3 years ago
Other questions:
  • Name the property used to make the conclusion. If 4(x+5) , then 4x+20
    5·2 answers
  • A supermarket charges $4.50 for 8 cans of cat food. At the same rate, how much would the supermarket charge for 28 cans of cat f
    14·2 answers
  • Answer of this question​
    15·1 answer
  • Marta has $840 in her savings account. She earns $15 per hour working at a food truck and puts all of her earnings into the bank
    11·1 answer
  • How many times does 20 go into 110
    13·1 answer
  • in a petting zoo 1/4 of the animals are goats. 2/3 of the goats are white. what fraction of the petting zoo is white goats?in a
    15·1 answer
  • 10 Pts + Brainliest for the best answer
    8·1 answer
  • Mei and Brenda each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Mei spen
    8·2 answers
  • If the perimeter of the regular decagon shown above is 136 1/4 inches, what is the length of each side?
    6·1 answer
  • I have no idea.... please help. And explanation would be me most helpful thing at this point
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!