Answer:
B. 1/m¹⁸
Step-by-step explanation:
To simplify the equation, we start with the values inside the brackets.
Therefore m⁻¹m⁵ results to m⁴.
This is because the sign between the m⁻¹ and m⁵ is multiplication, and when multiplying figures that have a similar base, we add the indices.
that is, -1+5=4
then we divide m⁴ by m⁻², that is, m⁴/m⁻²=m⁶
To divide figures that have the same base we subtract the powers.
That is, 4-(-2)=6
the resulting expression from inside the brackets will be (m⁶)³ which results to m⁻¹⁸ which is the same as 1/m¹⁸
Answer:
C
Step-by-step explanation:
If you add the first equation up you get 2z+6 by combining like terms
if you see A a is equal to 3z+6 so a doesn’t work
If you look at B b is equal to z+12 so b doesn’t work
finally C if you distibute it out you get 2(z)+2(3) which equal 2z+6 which works
C
The answer to this question is 6 1/4. This is because the vertex of this function has a y-coordinate of 6.25, which is 6 1/4 in mixed fraction form.
To find the account balance for this question you have to use the formula of a compound interest and the formula of the future value of an annuity ordinary.
The formula of a compound interest is
A=p (1+r/k)^kt
A future value?
P present value 3500
R interest rate 0.0065
K compounded quarterly 4
T time 10 years
Also the formula of the future value of an annuity ordinary is
Fv=pmt [(1+r/k)^(kt)-1)÷(r/k)]
Fv future value?
PMT since the payment per year is 2400 so you should find the payment per quarter which is 600 (2400÷4) because the interest is quarterly.
R interest rate 0.0065
K compounded quarterly 4
T time 10 years
The sum of those two formulas is the answer.
The balance is
3,500×(1+0.0065÷4)^(4×10)
+600×(((1+0.0065÷4)^(4
×10)−1)÷(0.0065÷4))
=28,511.25.....answer
Answer:
Step-by-step explanation:
<em>1).</em> (40, 60)
m = 2
y - 60 = 2( x - 40 )
<em>2).</em> (5, - 1)
m = - 3
y - ( - 1) = - 3( x - 5 )
<em>3).</em> m = 2
y - 1 = 2( x + 2 )
y = 2x + 5
