Answer:
The first option x = y
Step-by-step explanation:
If 7x = 7y, then...
7x = 7y
7x / 7 = 7y / 7
x = y
Answer:
The interest when rate is 5.2% is $48.88
Step-by-step explanation:
if interest (I) varies directly as interest rate (R)
Then
I ∝ R
I=cR
c= constant
if interest is $47 when interest rate is 5%
47 =.05c
c = 940
if interest rate is 5.2% then
I = 940 x .052
=48.88
=$48.88
Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Answer:
m=6
Step-by-step explanation:
38+8m+4=90
42+8m=90
8m=90-42
8m=48
m=6
