Answer:
The answer to your question is $79,749, to the nearest dollar.
Step-by-step explanation:
45 thousand dollars at 4.5 percent compounded annually for 13 years?
After one year the loan would accrue 4.5% interest, which is 0.045 times $45,000 dollars. Added to the base ($45000) this is (1 + 0.045)* $45,000, or $47,025. (Just over two thousand dollars interest.)
After two years we do this again with the new base, so it is $47,025 times (1.045), or $45,000 times (1.045) times (1.045) which can be written:
45000(1.045)2=49141.125 dollars.
You can see where this is going, I hope. After the thirteenth year we get:
45000(1.045)13≏79,748.8243759089 dollars.
Answer: x < -3.5
Step-by-step explanation:
Subtract 3 from both sides and we get
-4x > 14
We divide -4 on both sides, but be careful because we have to flip the sign since it's a negative number.
x < -3.5
Answer:
<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>
Step-by-step explanation:
For a quadratic equation:

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:

Factoring by finding two numbers that add up to 18 and have a product of 80:

The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
Answer:
Step-by-step explanation: