The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
The amount of money gained after an investment is compounded is given by:
Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time
Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:
The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
Find out more at: brainly.com/question/14295570
The simplified value of the exponential expression is 2.
<h3>
How to get the simplified expression?</h3>
Here we need to simplify the expression:
First, you need to remember that:
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
Then we can just write:
![16^{1/4} = \sqrt[4]{16}](https://tex.z-dn.net/?f=16%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7B16%7D)
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
![2^4 = 16\\\\\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=2%5E4%20%3D%2016%5C%5C%5C%5C%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
So we conclude that the simplified value is 2.
If you want to learn more about exponential expressions:
brainly.com/question/11464095
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3384 because .88 times 1800 is 1584 and you have to add that to 1800 making it 3384 (or the questions is really easy and its just 1800.88)
22.
pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse
if the hypotenuse is 4 meters long, c = 4.
if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.
if we have c²=a²+b², we can solve for b.
subtract a² both sides to get c²-a²=b², and then square root both sides to get
b = √(c²-a²)
plugging in our info we get
b = √(4²-3²) = √(16 -9) = √7
so the answer is √7 meters for 22
23
two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.
notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.
x = 6 and y = 8
25.00
-2.65
That is how you subtract 25 from 2.65
