Answer:
x=-7
Step-by-step explanation:
7x2-x=7
7x2=14.
14-x=7
When you finished the last step, you will subtract 14 to both sides.
14-x=7
14-14-x=7-14
this will cancel out the 14 on the left.
And will leave you with:
-x=7-14
7-14 is -7.
and this will get you to
-x=-7
To finish this off, you have to turn the negative x/variable, into a positive x/variable.
So, you will divide both sides of the equation by the same term.
-x = -7
into

and it will be -7.
I hope this helps :)
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Step-by-step explanation:
The given is,
Compounds money quarterly
Double your money in 10 years
Step:1
Formula to calculate future investment with compounded quarterly,
...............................(1)
Where, A - Future amount
P - Initial investment\
r - Rate of interest
n - No. of compounding in a year
t - No. of years
Step:2
Let, P = X
A = 2X ( Double your money )
From given, n - 4 ( for compounding quarterly )
t - 10 years
From equation (1)



Take root
root on both side,
![\sqrt[40]{2} = (1+\frac{r}{4} )](https://tex.z-dn.net/?f=%5Csqrt%5B40%5D%7B2%7D%20%3D%20%281%2B%5Cfrac%7Br%7D%7B4%7D%20%29)





r = 6.992 %
Result:
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Answer:
x≥1 or x≤−3
Step-by-step explanation:
x+1≥2 possibility 1
x+1−1≥2−1 Subtract 1 from both sides
x≥1
x+1≤−2 Possibility 2
x+1−1≤−2−1 Subtract 1 from both sides
x≤−3
Answer:
a) 6 ways
b) 6 ways
Step-by-step explanation:
a) for all of the letters
for the first letter, we have 3 options
for the second, we have 2 options
for the third, we have 1 option
So the number of options will be;
3 * 2 * 1 = 6
b) for the first, we have 3 options, for the second, we have 2 options
so the number of options will be 3 * 2 = 6 options
To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon. (which is the same as the number of sides). There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon ...