Answer:
Option C. 
Step-by-step explanation:
we know that
![A=\frac{P[(1+r)^{n} -1]}{r(1+r)^{n}}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7BP%5B%281%2Br%29%5E%7Bn%7D%20-1%5D%7D%7Br%281%2Br%29%5E%7Bn%7D%7D)
we have
substitute in the formula
![A=\frac{400[(1+0.00625)^{72} -1]}{0.00625(1+0.00625)^{72}}\\ \\A=\frac{226.446972}{0.009788}\\ \\A=\$23,134.61](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B400%5B%281%2B0.00625%29%5E%7B72%7D%20-1%5D%7D%7B0.00625%281%2B0.00625%29%5E%7B72%7D%7D%5C%5C%20%5C%5CA%3D%5Cfrac%7B226.446972%7D%7B0.009788%7D%5C%5C%20%5C%5CA%3D%5C%2423%2C134.61)
Answer:
Step-by-step explanation:
The first three options are correct.
The last option is incorrect as same side interior angles are supplementary, so they should sum to 180° but in the given option their sum is 100°.
When two lines are parallel they have the same slope
slope of this line y=-5\4x is -5\4
Slope of the parallel line is also -5\4
Answer:
-4u -5v
Step-by-step explanation:
Let the sum be ...
<3, -27> = a<3, 3> +b<-3, 3>
This resolves to two equations
3 = 3a -3b
-27 = 3a +3b
Adding these together, we get
-24 = 6a
a = -4
Substituting into the second equation gives ...
-27 = 3(-4) +3b
-15 = 3b
-5 = b
The desired linear combination is ...
<3, -27> = -4<3, 3> -5<-3, 3> = -4u -5v
Answer:
1 6/8 is a mixed number. To turn it into a fraction which is called an improper fraction you have to multiply the denominator by the whole number which is 1, then add the numerator which is 6. Your answer should be 14/8 or simplified to be 7/4.
Step-by-step explanation: Step 1: Multiply the denominator and the whole number. In this case it's 1 and 8. 1x8.
Step 2: Once you get the answer to 1x8 which is 8, you add the numerator to the product. 8+6=14.
Step 3: Since we now know the answer is 14/8 we need to simplify it. We find the greatest common factor between numerator and denominator which is 2. Then divide both 14 and 8 by 2.
Step 4: 1 6/8 as a fraction is 14/8 which simplifies to 7/4.
Hope this helped.
