Answer b
Step-by-step explanation:
b
<span>1. Two angles are complementary. One angle measures 50°. What is the measure of the other angle?
</span>complementary, sum of the angles = 90
<span>
so 90 -</span> 50 = 40
<span>
answer is
C.40°
2.Two angles are supplementary. One angle measurement is 30° more than the other. What is the measure of the smaller angle?
</span>supplementary, sum of the angles = 180
One angle measurement is 30° more than the other.
so both angles are 75 and 105
105 is 30 more than the other angel of 75
answer
measure of the smaller angle is 75
so it's D.75°
Answer:
The interest rate was of 5.5% a year.
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
In this question, we have that:
We have to find r.
Taking the square root from both sides to isolate r.
The interest rate was of 5.5% a year.
We have two formulas:
Adult tickets plus Student tickets = 550 tickets or A + S = 550
and
Adult tickets times $20 plus Student ticket times $10 = $7500 or
(A * 20) + (S * 10) = 7500
First let's get rid of one of the variables by re-balancing the simplest formula
A+S = 550
A+S-A = 550-A
S = 550-A
Now we can restate the second formula replacing "S" with it's equivalent "550-A"
(A * 20) + (S * 10) = 7500
(A * 20) + ((550-A) *10) = 7500
Then do the multiplication
20A + 5500 - 10A = 7500
and simplifiy
20A + 5500 - 5500 - 10A = 7500 - 5500
20A - 10A = 2000
10A = 2000
A = 200
S = 550 - 200 = 350
Now we should test the answers to be sure our work
is correct:
200 Adult tickets times $20 = $4000
350 Student tickets times $10 = $3500
$4000 + $3500 = 7500