1.
you want to make an investment in a continuously compounding account over a period of 20 years. what interest rate is required for your investment to double in that time period? round the logarithm value to the nearest hundredth and the answer to the nearest tenth. you want to make an investment in a continuously compounding account over a period of 20 years. what interest rate is required for your investment to double in that time period? round the logarithm value to the nearest hundredth and the answer to the nearest tenth.
3.5%
28.9%
2.89%
35%
2.
you want to make an investment in a continuously compounding account earning 12.6% interest. how many years will it take for your investment to double in value? round the natural log value to the nearest thousandth. round the answer to the nearest year.
5 years
1 years
18 years
6 years
3.
the long jump record in feet at a particular school can be modeled by f(x)=18.4+2.5in(x+1) , where x is the number of years since the school was opened. what is the record for the long jump three years after the school opened? round the logarithm value to the nearest thousandth. round the answer to the nearest tenth.
20.1 ft.
21.1 ft.
20.9 ft.
21.9 ft.

Part 1)  

Part 2)

Part 3)

Step-by-step explanation:

Part 1) we know that

The formula to calculate continuously compounded interest is equal to

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

Let

x -----> amount of money to be invested

2x ---> Final Investment Value

we have  

substitute in the formula above  

Apply ln both sides

Part 2) we know that

The formula to calculate continuously compounded interest is equal to

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

Let

x -----> amount of money to be invested

2x ---> Final Investment Value

we have  

substitute in the formula above  

Apply ln both sides

Part 3) we have

where

f(x) -----> is the long jump record in feet

x -----> the number of years since the school was opened

so

For x=3 years

substitute

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: