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Citrus2011 [14]
2 years ago
11

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

Mathematics
2 answers:
umka21 [38]2 years ago
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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Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car
gulaghasi [49]

Answer:

0.80

Step-by-step explanation:

7 0
1 year ago
Ray Np is an angle bisector of angle MNQ and measure of Angle PNQ = 2x+1. Find the measure of angle MNQ. If The measure of MNQ=x
Step2247 [10]
Refer to the diagram below.

Because ray NP bisects ∠MNQ, therefore
∠MNP = ∠PNQ = 2x + 1.
Therefore
∠MNQ = 2*∠PNQ = 2(2x + 1) = 4x + 2.

Because ∠MNQ is given as x² - 10, therefore
x² - 10 = 4x + 2
x² - 4x - 12 = 0
(x + 2 )(x - 6) = 0
x = -2, or x = 6

When x = -2, 
∠MNQ = 4*(-2) + 2 = -6°
This answer is not acceptablle, therefore x = -2 should be rejected.

When x = 6,
∠MNQ = 4*6 + 2 = 26°

Answer: x = 6, and ∠MNQ = 26°

7 0
2 years ago
the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p
Luba_88 [7]

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of m miles:

f(x) = 0.45m +5

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

f(x) = 0.45m +5 can also be written as:

y = 0.45m +5

It is nothing but slope intercept form, comparing with Y = M X+ C

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

0.45m +  5+5 = 0.45m+10

Now, multiply with 1.25

Resulting function becomes:

f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }

8 0
2 years ago
If a cube has an edge of 2 feet. The edge is increasing at the rate of 6 feet per minute. How would i express the volume of the
photoshop1234 [79]

Answer:

v(m) = 8 + 48m+ 180m² +216m³

Step-by-step explanation:

Let's first of all represent the edge of the the cube as a function of minutes.

Initially the egde= 2feet

As times elapsed , it increases at the rate of 6 feet per min, that is, for every minute ,there is a 6 feet increase.

Let the the egde be x

X = 2 + 6(m)

Where m represent the minutes elapsed.

So we Al know that the volume of an edge = edge³

but egde = x

V(m) = x³

but x= 2+6(m)

V(m) = (2+6m)³

v(m) = 8 + 48m+ 180m² +216m³

8 0
1 year ago
The height h of the equilateral triangle below is given by y= 5 cot theta where theta = 30 degrees
brilliants [131]
To solve this we can take two different approaches:

1. We can substitute theta by 30° and evaluate our expression using a calculator: 
y=5cot( \alpha )
y=5cot(30)
y=8.7

2. We can use the unitary circle and the fact that cot \alpha = \frac{cos( \alpha }{sin( \alpha )}, so we can rewrite our expression as follows:
y=5cot( \alpha )
y=5 \frac{cos( \alpha )}{sin( \alpha )}
y= \frac{cos(30)}{sin(30)}
From our unitary circle we can check that cos(30)= \frac{ \sqrt{3} }{2} and sin(30)= \frac{1}{2}. 
Lets replace those values in our expression and simplify:
y= \frac{ 5(\frac{ \sqrt{3} }{2})}{ \frac{1}{2} }
y=5 \sqrt{3}
y=8.7

Either way we can conclude that the correct answer is: D)8.7

6 0
2 years ago
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