Answer:
x = 4
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 9²
x² + 1 = 81 ( subtract 1 from both sides )
x² = 80 ( take square root of both sides )
x = 
= 
= 
× = 4
Answer:
Step-by-step explanation:
Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate and she gets a loan payoff of 60 months,
We know that,
![\text{PV of annuity}=P\left[\dfrac{1-(1+r)^{-n}}{r}\right]](https://tex.z-dn.net/?f=%5Ctext%7BPV%20of%20annuity%7D%3DP%5Cleft%5B%5Cdfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%5Cright%5D)
Where,
PV = Present value of annuity = 25000,
r = rate of interest of each period = 
% monthly
n = number of periods = 60 months,
Putting the values,
![\Rightarrow 25000=P\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]](https://tex.z-dn.net/?f=%5CRightarrow%2025000%3DP%5Cleft%5B%5Cdfrac%7B1-%281%2B%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B-60%7D%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D)
![\Rightarrow P=\dfrac{25000}{\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Cdfrac%7B25000%7D%7B%5Cleft%5B%5Cdfrac%7B1-%281%2B%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B-60%7D%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D%7D)
Hence total amount paid is,
Therefore interest amount is,
Answer:
I believe it would be A bc
Step-by-step explanation:
A= 42
B= 32
C= 20
D= 36
Substitution
-2x+8=x^2-9x+18
x^2-7x+10=0
Factoring, we get
(x-5)(x-2)=0
x=5, x=2
If x equals 5,
y=-2(5)+8=
-10+8=
-2
Therefore, we derive our first solution:
<h2><u><em>
x=5,</em></u></h2><h2><u><em>
y=-2</em></u></h2>
Now we solve for our second x
If x=2,
y=-4+8=
4
Therefore, we derive our second solution:
<h2><u><em>
x=2</em></u></h2><h2><u><em>
y=4</em></u></h2>
<u><em></em></u>
-Hunter
Answer:
S.A = 730mm²
Step-by-step explanation:
Since the solid is made up of two rectangles. Then the surface area (S.A) would be
S.A = area of first rectangle + area of second rectangle
Since the first rectangle has it's base to be 25mm and height to be 21mm, then it's area is
25mm x 21mm = 525mm²
Since the second rectangle has it's base to be 41mm and height to be 5mm, then it's area is
41mm x 5mm = 205mm²
Therefore
S.A = 525mm² + 205mm² = 730mm²
