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
fredd [130]
3 years ago
6

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0

.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.
Mathematics
2 answers:
fenix001 [56]3 years ago
8 0

Answer:

8

Step-by-step explanation:

edg

Nuetrik [128]3 years ago
4 0

Answer:

8 years

Step-by-step explanation:

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^{0.05t} = 150 represents the situation, where t is the number of years the money has been invested.

To find out how long has the money invested we need to find out 't'

100e^{0.05t} = 150 , solve for t

divide both sides by 100

e^{0.05t} = 1.5

Now to remove 'e' we take ln on both sides

ln(e^{0.05t) = ln 1.5

the value of ln(e)= 1

0.05t = ln 1.5

Now divide by 0.05 on both sides

t = 8.10930

The money is invested for 8 years

You might be interested in
Please show the steps taken to complete the problem
prisoha [69]

Answer:

24501.42 cubic meters

Step-by-step explanation:

Volume of a cylinder

= pi r^2 h

Given diameter = 34

radius r = diameter/2

= 34/2 = 17

So radius r = 17

Height h = 27

Pi = 3.14

Volume = 3.14 x (17)^2 x 27

= 3.14 x 17 x17 x 27

Multiply through

= 24501.42 cubic meters

8 0
4 years ago
What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ
Sonbull [250]
If we convert the given in its mathematical form, we have,

                      (30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

                      ((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,
  
                               <em>5x²/2y³

</em>
<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
6 0
3 years ago
How many significant figures are in the number 0.3368?​
Nadya [2.5K]

Answer:

4 significant figures are in the number 0.3368

3 0
2 years ago
Find the angle of RMQ.
faust18 [17]

Answer:

22

Step-by-step explanation:

since there is a bisector that makes the two angles equal. you first need to find x then with x you can add the angles to get the biggest angle witch is RMQ

2x+1 = 4x-9

1=2x-9

10=2x

5=x

x=5

RMQ=2x+1+4x-9

RMQ=2(5)+1+4(5)-9

RMQ=10+1+20-9

RMQ=11+11

RMQ=22

RMQ=16

8 0
3 years ago
Jackson is 5 years old. His brother Micah is 20 years older than him. Which equation represents Micah's age in comparison with J
mina [271]

Answer:

M=5+20

Step-by-step explanation:

I’m using M for representing Micah’s age.

This would represent Micah’s age because it says that Micah is 20 years older than Jackson, who is 5. Therefore, you would just need to add 5 and 20 together. Micah is 25 years old.

8 0
3 years ago
Other questions:
  • What is, x increased by 6?
    8·1 answer
  • Which graph shows the following:
    14·1 answer
  • I’m confused please help and thanks
    6·1 answer
  • Octavia is asking about her age. My brother is 7 years older than I am. Our ages add up to 39. How old are Octavia and her broth
    10·1 answer
  • 7.9y-2-3.2y-10=2.8+y
    11·1 answer
  • he daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function T(x)=94−10cos[π12(x−2)], wher
    13·1 answer
  • Susan is searching for a new apartment. Her monthly salary is $1,800, and she wants to spend no more than 35% of her budget on r
    8·1 answer
  • Is this correct? p=10 q=110 r=70
    15·2 answers
  • If EF is the perpendicular bisector of CD, find x.
    8·2 answers
  • Every morning Halie goes to school
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!