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2 years ago

if 5000000 invested at 4% interest compounded continuously how much will the investment be worth in 30 years

2 answers:

8 0

For this you use A=Pe^(rt)
A=furutre amount
P=present amount
e=natural base
r=rate in decimal
t=times in years

A=?
P=5000000
r=0.04
t=30

A=5,000,000e^(0.04*30)
A=5,000,000e^(1.2)
A=16600584.613683

Anna35 [415]2 years ago

6 0

The required formula is:
$A=Pe^{rt}$
where A is the amount after t years, e is the exponential number and r is the annual interest rate expressed as a decimal:
Plugging in the given values into the formula:
$A=5000000\times e^{(0.04\times 30)}=16,600,584.61\ currency\ units$

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On Saturday, Craig rode his bike 5/8 of a mile. On Saturday, he rode his bike 1/2 of a mile. Craig added 5/8+1/2=6/10and plotted

VashaNatasha [74]

* Craig's answer is not reasonable because to add fractions the denominators must be the same.

** Total distance = 5/8 + 1/2 = 5/8 + 4/8 = 9/8 miles

*** Using the line number to prove the answer:
The line number that represents the problem is in the attached figure.
while the distance between 0 and 1 divided to 8 sections
to represent (5/8) count 5 sections from zero ⇒⇒⇒ point (a)
and to represent (1/2) it is the midpoint between 0 and 1 which mean it is 4 sections but it will be counted from point (a) so, adding 4 sections to point (a) the result will be the point (b)
So, counting from 0 to point (b) will give us 9 sections
and while one section represents (1/8)
So the total distance will be 9 * (1/8) = 9/8 which is agree with the result obtained before

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2 years ago

You work two jobs. You earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. Your combined earnings this m

andreev551 [17]

11.90y+10.50x=178.50 is the equation

5 0

2 years ago

Cindy found a collection of baseball cards in her attic worth $8,000. the collection is estimated to increase in value by 1.5% p

Sergio [31]

A]
Exponential function is given by the form:
y=a(b)ˣ
where:
a=initial value
b=growth factor
From the question:
a=$8000, b=1.015,
thus the exponential growth function of this situation is:
y=8000(1.015)ˣ

b] The value of the collection after 7 years will be:
x=7 years
Using the formula:
y=8000(1.015)ˣ
plugging the values we get:
y=8000(1.015)⁷
y=8,878.76

Answer: $8,878.76

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2 years ago

If container a holds 8 gallons of water and container b holds 12% more than container a, how many gallons of water does containe

frosja888 [35]

Answer: 8.96 gallons of water

To answer this question you need to multiply the container b: container a ratio with the container a volume.
Since container b has more volume than container a, the ratio should be >1. In this case, the ratio is 100%+12%= 112%
Then the volume of container b is= 112% x 8 gallons= 8.96 gallons

3 0

2 years ago

Rumor of the cancellation of final exams began to spread one day on a college campus with a population of 80 thousand students.S

Nikolay [14]

Answer:

P(t) is directly proportional to N and N'.

Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;

N is numbers of students who have heard the rumor of the exam's cancellation;

N' is numbers of students who have not heard the rumor of the exam's cancellation;

N' = (80 - N). Since the total number of students is 80;

K is the constant of the proportionality.

K is calculated to be 9/700

Therefore,

P(t) = KNN'

P(t) = (9/700) x N x (80 - N)

Step-by-step explanation:

The total number of students is 80. For N, N' = 80 - N.

Initially, 1 thousand people heard the rumor.

Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9

P = 9 = K x 10x (80-10)

9 = K x 10 x 70 = 700K.

Divide both sides by 700,

9/700 = (700/700)K

K = 9/700

Subtitle K into the equation P(t) = KNN'

P(t) = (9/700) x N x N'

P(t) = (9/700) x N x (80 - N), where N' = 80 - N

4 0

2 years ago