Answer:
−9⋅(5j+k) = -45j -9k.
Step-by-step explanation:
Given : −9⋅(5j+k)
To find : distributive property.
Solution : −9⋅(5j+k)
By distributive property a( b +c ) = a*b + a*c.
Then −9⋅(5j+k) = -9 *5j + (-9 *k)
−9⋅(5j+k) = -45j -9k.
Therefore, −9⋅(5j+k) = -45j -9k.
Answer:
a) T = ln2/ln[(100+r)/100]
b) 10.2 years (3 sf)
c) 9.05% (3 sf)
Step-by-step explanation:
r% return: amount is (100+r)%
S = S0 × [(100+r)/100]^T
S = 2S0
2S0 = S0×[(100+r)/100]^T
2 = [(100+r)/100]^T
ln(2) = T ln[(100+r)/100]
T = ln2/ln[(100+r)/100]
b) r = 7
T = ln2/ln[(100+7)/100]
T = ln2/ln1.07
T = 10.24476837 years
T = 10.2 years (3 sf)
c) T = 8
8 = ln2/ln[(100+r)/100]
ln[(100+r)/100] = ln2/8
1 + r/100 = 1.090507733
r/100 = 0.090507733
r = 9.0507733%
r = 9.05% (3 sf)
Assuming you are given a standard form equation, you should convert it to vertex format. If you are given root equation form, you would have to convert to standard form.
Assuming you have;
ax²+bx+c=y
a(x²+b/ax)+c=y
a(x²+b/ax+(b/2a)²-(b/2a)²)+c=y
a(x²+b/ax+(b/2a)²)+c-a(b/2a)²=y
a(x+b/2a)²+c-a(b/2a)²=y
Try to use this format to solve the problems.
Hope I helped :)
This kind of problem assumes that the two people working together work for the same amount of time.
Renee can sew a quilt in 16 hours, so she can sew 1/16 of a quilt each hour. Gerena sews a quilt in 12 hours, so she can sew 1/12 of a quilt each hour.
Use the variable t represent the time Renee and Gerena work together (measured in hours). The part of a quilt Renee sews is
. the part of the quilt that Gerena sews is ![\frac{1}{12}t](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B12%7Dt%20)
Together, they sew one quilt, so
![\frac{1}{16}t + \frac{1}{12}t = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B16%7Dt%20%2B%20%5Cfrac%7B1%7D%7B12%7Dt%20%3D%201%20)
Multiply all the terms by 48 (the Least Common Multiple of 16 and 12).
hours.