Answer:
$9.12 each
Step-by-step explanation:
15 percent of 32.20 = 4.83. 32.20 - 4.83 = 27.37.
27.37/3 friends = about $9.12 each
A linear equation in the form y = mx + c has slope m Any line parallel to 3x + 9y = 5 has the same slope 3x + 9y = 5 → 9y = -3x + 5 → y = (-3/9)x + 5/9 → y = -⅓x + 5/9 & So it’s 10 and 0
Answer:
37
Step-by-step explanation:
Given :
Sample size, n = 128
Mean, μ = 18
Standard deviation, σ = 5.4
Number of people who lost atleast 15 pounds :
The Zscore = (x - μ) / (σ)
Zscore = (15 - 18) / 5.4
Zscore = - 3 / 5.4
Zscore = - 0.5555
P(Z < - 0.555) = 0.28945
Number of people who lost atleast 15 pounds :
0.28945 * 128 = 37.0496
= 37 people
The formula for the future value A, given annual interest rate r, number of years t, and deposit amount P can be written as
... A = P(1 +r/12)((1+r/12)^(12t) -1)/(r/12)
Filling in the given numbers, you have
... A = 200(1+.0275/12)((1+.0275/12)^(12·39) -1)/(.0275/12) ≈ 167,868.30
The appropriate choice is $167,868.30.
_____
The formula is the one for the sum of a geometric series. It can be useful to consider the last deposit made as the first term of the series.
<span>The <u>correct answer</u> is:
B) 3log</span>₅<span>(x-4).
Explanation<span>:
To stretch a function by a factor of 3, we multiply the function by 3. This eliminates A and D.
To translate a function 4 units right, we add -4 to the variable before anything else is applied to it; this eliminates C.
In choice B, the log function is multiplied by 3, which gives us our vertical stretch; and the x is subtracted by 4 before anything else is applied to it, so it is translated 4 units right.</span></span>
