Answer:
y=-3x-12
Step-by-step explanation:
Plug into equation y=mx+b
3=(-3)-5+b
Simplify
3=15+b
Subtract 15 from both sides
-12=b
Add slope and y-intercept into base equation
y=-3x-12
27/3 = 9 cm3
the pyramid is 1/3 the volume of the cube because it fits exactly inside it
Answer:
4th option
Step-by-step explanation:
Given
-
← expand denominator using FOIL
=
- 
Since the denominators are common, then subtract the numerators
= 
Answer: $15385 should be deposited.
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.8%. So
r = 7.8/100 = 0.078
It was compounded for 4 years. Therefore,
t = 4
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore
21000 = P (1+0.078/12)^12×4
21000 = P (1+0.078/12)^48
21000 = P (1+0.0065)^48
21000 = P (1.0065)^48
P = 21000/1.365
P = $15385
Answer:
2nd option on the top right
Step-by-step explanation: