Given:
y varies directly with x
y = 8 when x = -6
what is the value of y when x = -2?
y = kx
we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3
y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67
The correct answer is Choice B. y = -1.33x ; 2.67
Answer:
The probability that this occurs is 25%, as 3/6 (chance to roll an odd number) multiplied by 1/2 (chance to flip a head) is .25.
Step-by-step explanation:
Answer:
The midpoint between A(-7, 5) and B (7, 3) is: (0, 4)
Step-by-step explanation:
Given the points
Determining the midpoint between A(-7, 5) and B (7, 3)
Therefore, the midpoint between A(-7, 5) and B (7, 3) is: (0, 4)
Compound Interest is the interest that is <em>compounded on a particular sum of money or investment over a given period of time.</em>
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
- Step 1: Find the interest for the first year.
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $10,000
R = Rate = 5%
n = 1
t = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 10,000(1 + 0.05/1)^(1)(3)
A = 10,000.00(1 + 0.05)^(3)
A = $11,576.25
I = A - P
Hence:
I = $11,576.25 - $10,000.00
I (interest) = $1,576.25
-
Step 2: Add the interest to the original amount.
$10,000 + $1,576.25
= $11,576.25
-
Step 3: Determine interest in the new total
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $11,576.25
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 11,576.25(1 + 0.05/1)^(1)(3)
A = 11,576.25(1 + 0.05)^(3)
A = $13,400.96
Therefore,
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
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brainly.com/question/16020930
