Please help (Determine the slope of the line. Show the work you did to find the slope.)
1 answer:
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Answer:
$5225
Step-by-step explanation:
Use the formula for the amount after simple interest:
"A" is the final amount, or balance.
"P" is the principal, or the starting amount.
"r" is the rate of interest in decimal form.
"t" is the time.
What we know:
P = 5000
t = 3
r = 1.5%
Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.
1.5% => 0.015 = r
Substitute what we know into the formula:
A = P(1 + rt)
A = 5000(1 + (0.015)(3)) <=simplify
A = 5000(1 + 0.045)
A = 5000(1.045)
A = 5225 <= new balance
The new balance of an account is $5225.
G(x) = 3x² - 5x + 7
g(-x) = -(3x² - 5x + 7)
g(-x) = -3x² + 5x - 7
This equation cannot be solved because of a few reasons,
1. This equation didn't show that it equals to 0.
2. Even if it equals to zero, square root of a negative number cannot be solved.
(I will show you what I mean)
-3x² + 5x - 7
is the same as
3x² - 5x + 7
by shifting the equation,
for example,
1 - 3 = -2
shifting other side
2 = -1 + 3
using 3x² - 5x + 7 to solve,
a = 3
b = -5
c = 7
∴This equation cannot be solved.
g(-x) = -(3x² - 5x + 7)
g(-x) = -3x² + 5x - 7
This equation cannot be solved because of a few reasons,
1. This equation didn't show that it equals to 0.
2. Even if it equals to zero, square root of a negative number cannot be solved.
(I will show you what I mean)
-3x² + 5x - 7
is the same as
3x² - 5x + 7
by shifting the equation,
for example,
1 - 3 = -2
shifting other side
2 = -1 + 3
using 3x² - 5x + 7 to solve,
a = 3
b = -5
c = 7
∴This equation cannot be solved.
Answer:
see explanation
Step-by-step explanation:
Given M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition r = 4 when M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
(a)
when r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
when M = 540 , then
540 = 2.5r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
= r , thus
r = 6