Answer:
Total gas used = 3/2 of a tank of gas
Step-by-step explanation:
Visit to friend = 6/8 of a tank of gas
Commute to work = 1/2 of a tank of gas
Weekend trip = 1/4 of a tank of gas
Total gas used = Visit to friend + Commute to work + Weekend trip
= 6/8 + 1/2 + 1/4
= 6+4+2/8
= 12/8
= 3/2
Total gas used = 3/2 of a tank of gas
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $470
r = 6% = 6/100 = 0.06
n = 1 because it was compounded once in a year.
Therefore, the equation used to determine the value of his bond after t years is
A = 470(1 + 0.06/1)^1 × t
A = 470(1.06)^t
Answer:
The measure of 
is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
<em>"On a unit circle, the terminal point of </em><em> is </em>
<em>. What is </em><em>?"</em>
The measure of the angle (), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form 
is determined by the following inverse trigonometric function:
(1)
If we know that 
and 
, then the measure of is:
The measure of is 30°.
Answer:
The playground covers 
of a square mile
Step-by-step explanation:
The playground is a rectangular ground. The area of a rectangle is given by legth * width, hence,
The area of the playground is length * width
Area = 
sq. mi
Hence the playground cover of a square mile
X = number of DVDs
1 DVD costs $1.95 to rent
x DVDs cost 1.95x dollars to rent
tack on the membership fee of 4.95 and the total cost is 1.95x+4.95
set this equal to 42 and solve for x
<span>1.95x+4.95 = 42
</span>1.95x+4.95-4.95 = 42<span>-4.95
</span>1.95x = 37.05
<span>1.95x/1.95 = 37.05/1.95
</span>x = 19
So Shanti can rent 19 DVDs
