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Sveta_85 [38]
3 years ago
10

Find the future value and interest earned if $8906.54 is invested for 9 years at 6% compounded continuously 

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0
To find the future value the formula is
A=p e^rt
A future value?
P present value 8906.54
R interest rate 0.06
T time 9 years
E constant
A=8,906.54×e^(0.06×9)
A=15,283.68

To find the interest earned the formula is
I=A-p
I=15,283.68−8,906.54
I=6,377.14
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In the year 2000, the United States had a population of about 281.4 million people; by 2010, the population had risen to about 3
IgorC [24]

Answer:

Part 1. 0.9259 % per year

Part 2. P = 281.4e^(0.009 259t); 338.6 million  

Step-by-step explanation:

Data:

P₀ = 281.4 million

P  = 308.7 million

Part 1. Growth rate

t = 2010 - 2000 = 10 yr

        P = P₀e^(rt)

308.7 = 281.4e^(10r)

e^(10r) = 1.0970

     10r = ln1.0970

        r = (ln1.0970)/10 = (0.092 59)/10 = 0.009 259  

        r = 0.9259 % per year

The 10-year continuous growth rate is 0.9259 % per year.

Part 2. Population model

The population model is

P = 281.4e^(0.009 259t)

where P is in millions and t is the number of years since 2000.

By 2020,

P = 281.4e^(0.009 259 × 20) = 281.4e^0.1852 = 281.4 × 1.203

P = 338.6 million

The estimated population in 2020 is 338.6 million.

8 0
3 years ago
Joel and two friends went to the movies. They each spent $5.50 on a medium popcorn and also had to buy a ticket. Altogether, the
irina1246 [14]
The answer is $9.50 because you need to take the total of the popcorn which is $16.50. Then subtract that from $45 and get $28.50. The last step to do is divide $28.50 by three to get your final answer= $9.50

The answer is= $9.50
8 0
3 years ago
Read 2 more answers
Would the answer be <br> 40, 10 ?
Eduardwww [97]

Answer:

yeah the answer is (40,10)

6 0
2 years ago
Plz help me i have to have this done by 5pm today
katen-ka-za [31]

Answer:

C it wasnt hard

Step-by-step explanation:

6 0
3 years ago
When i was 18 years old, my sister was half my age. Now I am 82 years. How old is my sister now?​
iVinArrow [24]

Answer:

41 \:  \:  \: years \:  \:  \: old

Step-by-step explanation:

me \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: sis \\ 18 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 9 \\ 82 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  x \\  \\ use \:  \: cross \: \\  multipaction \\ \\  18x = 82 \times 9 \\ 18x = 738 \\  \frac{18x}{18}  =  \frac{738}{18}  \\ x = 41

4 0
3 years ago
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