Answer:
a.$7,096
Step-by-step explanation:
- total amount A = s(\frac{(1+\frac{r}{n}) ^{n*t}-1 }{\frac{r}{n} } )[/tex]
[this is the formula used when certain amount is added at regular intervals and if the interest is COMPOUNDED]
(here,
s=deposit added at the end of each quarter= $500
n= number of times interest is compounded per unit 't'=4
t=total time = 3 years
r=interest rate ( expressed in decimal or fraction not in %) = 12/100 = 0.12 )
- A= 500(\frac{(1+\frac{0.12}{4}) ^{4*3}-1 }{\frac{0.12}{4} } )[/tex]
A 
( [1.03]^12= 1.42576 ( approximately) { use calculator for exact values})
Answer: 0.271
Step-by-step explanation:
Probability of complement of an even is 1 decreased by the probability of the event
P(At least one) =1 - P(none)
The probability that of testing negative is 0.9 because the probability of testing positive is 0.1
P( at least one) = 1 - P(none) = 1 - (0.93^3) = 0.271
Angle 12 it means next to or closest so it’s in the same line as 12
Let C₀ be current consumption. Then consumption (C) after t years is:
<span>C(t) = C₀ * (1 + 0.1)^t </span>
<span>C(t) = C₀ * (1.1)^t </span>
<span>After 10 years, consumption will be: </span>
<span>C(10) = C₀*(1.1)^10 </span>
<span>C(10) = 2.5937424601 C₀ </span>
<span>Total percentage increase after 10 years: </span>
<span>(2.5937424601 C₀ - C₀) / C₀ = 1.5937424601 C₀ / C₀ = 1.5937424601 = 159.37% </span>
<span>Utility company will have to increase generating capacity by 159.37%</span>
Answer: -3
Step-by-step explanation:
13−2x+V1−x
Combine −2x and −x to get −3x.
13−3x+V
1
The 1 is supposed to be under the V
