Answer:
20a (less than or equal to) 28a
Step-by-step explanation:
PEMDAS
2a + 3= 5a
4*5a=20a
2. a+1=1a
-3*1a=-3a
-3a+31= 28a
Answer:
He spent around $ 52.17 in each month.
Step-by-step explanation:
Last year the power bill price = $ 626.14 ≈ $ 626
We know that in a year 12 months. so power bill of each month in last year is calculated as follows


$ 52.17
Therefore he spent around $ 52.17 in each month.
For this problem, we can assume the total money is X, than we can get the equation of: 0.08*X*12=7680, than we can know X=8000, therefore, Mike's grandmother deposit 8000 in the account.
Answer:
3. 37°, 37°, and 106°
Step-by-step explanation:
I am doing #3 as shown in the picture.
Isosceles triangle is a triangle with 2 sides same and their opposite angles same. Those angles are congruent and called base angles. The remaining angle is the vertex angle.
We let each of the base angles as "b" and the vertex angle as "v".
Now,
Vertex Angle is 5 less than 3 times one of the base angles, we can write:

We also know that 3 angles in a triangle add up to 180 degrees, so we can write:
v + b + b = 180
v + 2b = 180
(3b - 5) + 2b = 180
We have replaced "v" with the first equation and created an equation in "b". So now we can solve for b:

Now, finding v:
v = 3b - 5
v = 3(37) - 5
v = 106
Thus, the three angles of the triangle are:
37°, 37°, and 106°
Answer:
256
Step-by-step explanation:
Using the recursive formula and a₁ = 2, then
a₂ = a₁² = 2² = 4
a₃ = a₂² = 4² = 16
a₄ = a₃² = 16² = 256
Thus the 4 th term is 256