Answer:
C) 30.9702
Step-by-step explanation:
Take log of both sides:
In5^x = In8^x - 7
Rewrite it using the laws of log:
xIn5 = (x - 7)In8
x / (x - 7) = ln 8 / ln 5
x / (x - 7) = 1.292
x = 1.292x - 9.044
1.292x - x = 9.044
x = 9.044 / 0.292
Thus, x = 30.9702
The lines whose equations are given intersect at. (4, 0)
They are not equivalent because
4:5
x2 x2
=8:10
it does not equal 8:12
your welcome:)
Answer:
2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10
2(10 · 4 + 10 · 7 + 4 · 7)
Step-by-step explanation:
Given dimensions of the square prism:
- length = 7 units
- width = 4 units
- height = 10 units
In order to find the surface area, we must find the area of each face.
Area of a rectangle = width x length
The square prism has 3 pairs of faces:
SA of bases = 7 x 4
SA of side 1 = 4 x 10
SA of side 2 = 7 x 10
So the total surface area is
2(7 x 4) + 2(4 x 10) + 2(7 x 10) = 276 units squared
<u>Solutions</u>
2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10
2(10 · 4 + 10 · 7 + 4 · 7)
Answer:
P = 300
r = 0.15
n = 12
A(t) = 300(1.0125)^12t
Step-by-step explanation:
Given that:
Total credit taken for book purchase = $300
Annual Interest rate = 15% compounded monthly
Time or period = 4 years
P(1 + r/n)^nt
P in the expression above means the principal amount which is the total credit spent on book purchase = $300
r = annual interest rate on Emma's account = 15% = 15/100 = 0.15
n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12
Hence,
P = $300 ; r = 0.15 ; n = 12
Substituting into the equation :
P(1 + r/n)^nt
Simplified expression written in terms of t:
Final amount, A after t years
A(t) = 300(1 + 0.15/12)^12t
A(t) = 300(1 + 0.0125)^12t
A(t) = 300(1.0125)^12t