Answer:
x = 10
Step-by-step explanation:
Solve for x:
2 (x + 2) - 7 + x = 27
2 (x + 2) = 2 x + 4:
2 x + 4 + x - 7 = 27
Grouping like terms, 2 x + x - 7 + 4 = (2 x + x) + (4 - 7):
(2 x + x) + (4 - 7) = 27
2 x + x = 3 x:
3 x + (4 - 7) = 27
4 - 7 = -3:
3 x + -3 = 27
Add 3 to both sides:
3 x + (3 - 3) = 3 + 27
3 - 3 = 0:
3 x = 27 + 3
27 + 3 = 30:
3 x = 30
Divide both sides of 3 x = 30 by 3:
(3 x)/3 = 30/3
3/3 = 1:
x = 30/3
The gcd of 30 and 3 is 3, so 30/3 = (3×10)/(3×1) = 3/3×10 = 10:
Answer: x = 10
Answer: she will have $2042.4 have in the account after 1 year.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 2.1% = 2.1/100 = 0.021
n = 12 because it was compounded 12 times in a year.
t = 1 year
Therefore,
A = 2000(1 + 0.021/12)^12 × 1
A = 2000(1 + 0.00175)^12
A = 2000(1.00175)^12
A = $2042.4
Answer:
The formula is:
Step-by-step explanation:
The geometric sequences are those in which the division between the terms 
and 
of the sequence are equal to a constant common reason called "r"
The geometrics secencias have the following form:
Where 
is the first term of the sequence
In this sequence we have the following terms
1.2, 3, 7.5, 18.75
Then notice that:
Then:
and 
Finally the formula is:
Answer:
X > -3, 0.28, 4
Step-by-step explanation:
x - 7 > -12 - To solve add 7 to both sides
x > -5 Which means every number GREATER but not EQUAL to 5 will count as a solution to the equation, therefore 5 is not a correct answer. -3 is greater then -5, and any positive number is greater then any negative number.
Therefore the Correct Answer is : -3. 0.28, 4
Answer:
C zero
Step-by-step explanation:
-9×(0/(-3))= (-9)×0
=0
