The measure of the intercepted arc is twice the measure of the tangent-chord angle:
2×74° = 148°
The measure of the intercepted arc is 148°.
Answer:
See below
Step-by-step explanation:
is the average
is the variance
is the standard deviation
Answer:
Marcos Should invest with the first bank
Step-by-step explanation:
Formula for finding compound interest is: A = p(1+\frac{r}{n})^{nt}
where
A = the future value of the investment
P = the principal investment amount (the initial deposit)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = the time the money is invested
If marcos choose to invest with the first bank
A = 15000(1+\frac{0.025}{12})^{12*3} = £16166.81
If he choose to invest with the second bank
His principal become 15570 in the first year because of the 3.8% offer from the bank and t becomes 2.
A = 15570(1+\frac{0.01}{12})^{12*2} = £15884.27
Comparing the future value of his investment from both bank, Marcos will get more interest from investing with the first bank.
Answer:
$17.5
Step-by-step explanation:
The operator, for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
Therefore, for $x dollars increase in fare, 20x less people will take the trip and at that time the total fare F is given by
F(x) =(20 + x)(500 - 20x) = 10000 + 100x - 20x²
For F(x) to be maximum, the condition is
Hence, 100 - 40x = 0
⇒ x = 2.5
Therefore, the fare of $(20 - 2.5) = $17.5 will maximize the total fare. (Answer)
P=1.25x + 80
p is the pay and the 1.25 depends on how much computers he sells but he gets at least 80$ for his paycheck