Step-by-step explanation:
step 1. 3(sqr(27) - 16) sqr is the square root
step 2. 3(3sqr3 -16)
step 3. 9sqr3 - 48.
We need to write the linear equation that is satisfied by (20,13) and (30,18).
$18 - $13 $5
The slope is m = --------------- = -------- = $0.50/mile
30 - 20 10
We need to find the y-intercept of this function. To do that, start with the slope-intercept form y = mx + b
and subst. the y and x values from one of the two given points. Suppose we choose (20,$13):
$13 = ($0.50/mile)(20 miles) + b
Then $13 = $10 + b, and b = $3.
There's an up-front charge of $3 just to step into the taxi.
The equation in question is y = ($0.50/mile)x + $3.00 (answer)
Answer:
5.5%
Step-by-step explanation:
Given data
Simple interest = $137.50
Principal= $500
time = 5 years
We want to find the rate R
Simple interest= PRT/100
137.50 = 500*R*5/100
137.50=2500R/100
cross multiply
137.5*100= 2500R
13750= 2500R
divide both sides by 2500
R= 13750/2500
R=5.5%
Hence the rate is 5.5%
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
About 55.8 (i suggest rounding up to 56) are packed in 480 seconds. just divide 480 by 8.6 to get the answer 55.8
