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Evgen [1.6K]
3 years ago
10

A company deposits $25,000 in a bank account that earns interest. The value of the account can be represented as 25,000e^0.0198t

, where t represents time, in years.
The time, t, in years that it will take for the account to have a value of $30,000 can be modeled as t=ln(k)/0.0198. What is the value of k?
Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Answer:

  k = 1.2

Step-by-step explanation:

Solving for t when the account value is 30,000, we have ...

  30,000 = 25,000e^(0.0198t)

  30,000/25,000 = 1.2 = e^(0.0198t)

  ln(1.2) = 0.0198t

  t = ln(1.2)/0.0198

Matching this with the form ...

  t = ln(k)/0.0198

we see that k = 1.2.

_____

k is the multiplier of account value in time period t.

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lions [1.4K]
They are algebraic symbols or known as unknown number. There is no true value for them. The value of algebraic symbols are based on equations

ie. 1+x = 2

First, we isolate the x by canceling the +1 FROM BOTH SIDES(Balance method) by -1 ON BOTH SIDES.

1+x-1 = 2-1

So we are left with the x on the left side, and a single number on the right side. Therefore, our calculation is complete.

x = 1


More complex cases would be

2y-3 = 45

First, we need to isolate the algebraic symbol, which is 2y (yx2) by +3 ON BOTH SIDES

2y-3+3 = 45+3

2y = 48

WE ARE NOT DONE! 2y=48 is still an equation. Therefore, to isolate the y, we need to divide BOTH SIDES by 2

2y/2 = 48/2

y = 24

There is no true or absolute or definite value for algebraic symbols like x,y,z,a,c,t,h,d etc. They are used to represent unknown numbers.


Hope this helped!
8 0
3 years ago
The perimeter and area of each figure:<br> a. A square with a side length of 3.5 inches.
Anna11 [10]

3.5 \times 3.5 = 12.25 \: for \: are \\ 3.5 \times 4 = 14 \: for \: perimeter

5 0
3 years ago
A semi- circle has an area of 35cm . What is its diameter?
patriot [66]

Answer:

<h2>Area Semicircle = 1/2 πr² </h2>

where

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→ ½ * 22/7 * r² = 35

→ 11/7 * r² = 35

→ r² = 35*7/11

→ r² = 245/11

→ r² = 22.77

→ r = √22.77

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Therefore,

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= 9.54 cm

5 0
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3 0
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Vlad [161]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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rounded to three significant digits = 48.2°

7 0
3 years ago
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