solve for "r"
notice, the "r" value, goes in the equation as a decimal, so 5% is really 5/100 or 0.05 25% is 0.25 and so on
so... the "r" that you'll get, will be a decimal value, multiply that by 100, and you'll get the percentage notation of it
![\bf 6,000=2,500\left(1+\frac{r}{4}\right)^{4\cdot 10}\implies\cfrac{6000}{2500}=\left(1+\frac{r}{4}\right)^{40} \\ \quad \\ \cfrac{12}{5}=\left(1+\frac{r}{4}\right)^{40}\impliedby \textit{now, taking root }\sqrt[40]{\qquad } \\ \quad \\ \sqrt[40]{\cfrac{12}{5}}=\sqrt[40]{\left(1+\frac{r}{4}\right)^{40}}\implies \sqrt[40]{\cfrac{12}{5}}=1+\cfrac{r}{4} \\ \quad \\ \sqrt[40]{\cfrac{12}{5}}-1=\cfrac{r}{4}\implies 4\left( \sqrt[40]{\cfrac{12}{5}}-1 \right)=r \\ \quad \\ ](https://tex.z-dn.net/?f=%5Cbf%206%2C000%3D2%2C500%5Cleft%281%2B%5Cfrac%7Br%7D%7B4%7D%5Cright%29%5E%7B4%5Ccdot%2010%7D%5Cimplies%5Ccfrac%7B6000%7D%7B2500%7D%3D%5Cleft%281%2B%5Cfrac%7Br%7D%7B4%7D%5Cright%29%5E%7B40%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Ccfrac%7B12%7D%7B5%7D%3D%5Cleft%281%2B%5Cfrac%7Br%7D%7B4%7D%5Cright%29%5E%7B40%7D%5Cimpliedby%20%5Ctextit%7Bnow%2C%20taking%20root%20%7D%5Csqrt%5B40%5D%7B%5Cqquad%20%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Csqrt%5B40%5D%7B%5Ccfrac%7B12%7D%7B5%7D%7D%3D%5Csqrt%5B40%5D%7B%5Cleft%281%2B%5Cfrac%7Br%7D%7B4%7D%5Cright%29%5E%7B40%7D%7D%5Cimplies%20%5Csqrt%5B40%5D%7B%5Ccfrac%7B12%7D%7B5%7D%7D%3D1%2B%5Ccfrac%7Br%7D%7B4%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Csqrt%5B40%5D%7B%5Ccfrac%7B12%7D%7B5%7D%7D-1%3D%5Ccfrac%7Br%7D%7B4%7D%5Cimplies%204%5Cleft%28%20%5Csqrt%5B40%5D%7B%5Ccfrac%7B12%7D%7B5%7D%7D-1%20%5Cright%29%3Dr%20%5C%5C%20%5Cquad%20%5C%5C%0A)
Answer:
x = - 2
Step-by-step explanation:
Givens
(2,5)
(x,3)
m = 1/2
Formula
m = (y2 - y1)/(x2 - x1)
Solution
y2 = 3
y1 = 5
x2 = x
x1 = 2
1/2 = (3 - 5)/(x - 2) Cross multiply
1*(x - 2) = 2 (-2) Combine and remove the brackets.
x - 2 = - 4 Add 2 to both sides
x = - 4 + 2
x = - 2
Answer:
- The diagonals of a parallelogram bisect each other.
Step-by-step explanation:
If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle.
The diagonals of a parallelogram bisect each other.
If a quadrilateral has four right angles, then it is a square.
Answer:
x=-6, y=1
Step-by-step explanation:
Let's solve your system by substitution.
y=x+7;−2x−11=y
Step: Solve y=x+7 for y:
y=x+7
Step: Substitute x+7 for y in −2x−11=y:
−2x−11=y
−2x−11=x+7
−2x−11+−x=x+7+−x(Add -x to both sides)
−3x−11=7
−3x−11+11=7+11(Add 11 to both sides)
−3x=18
−3x/
−3
=
18/
−3 (Divide both sides by -3)
x=−6
Step: Substitute−6 for x in y=x+7:
y=x+7
y=−6+7
y=1 (Simplify both sides of the equation)
Answer:
x=−6 and y=1
Answer:
.46 x 14 = 6.44
46 x 1.4 = 64.4
46 x 14 = 644
4.6 x 14 = 64.4
46 x .14 = 6.44
Step-by-step explanation:
