Answer:
c. 30.0 minutes
Step-by-step explanation:
Max mows 1/45 lawns per minute.
Jan takes twice as long (90 minutes per lawn), so mows 1/90 lawns per minute.
Working together, they mow ...
(1/45 + 1/90) lawns per minute = (2/90 +1/90) lawn/min = 3/90 lawn/min
= 1/30 lawn/min
Then for one lawn, it takes ...
(1 lawn)/(1/30 lawn/min) = 30 min
We are given the inequality,

Now let us simplify this to get the value of a,
Adding 15 to both the sides,


So we have a>10 and a<17
One more thing that we need to look at is whether we will have close dots or open dots at 10 or 17.
If we have "=" sign along with inequality sign (≤ or ≥) then we use closed dot.
If we dont have "=" sign along with inequality sign (< or >) then we use open dot.
In our case we use open dot , since we dont have "=" sign.
So Answer will be option third, line starting from 10 to 17 with open dots at 10 and 17.
Answer:
A
Step-by-step explanation:
The segment BC joining the midpoints of 2 sides of the triangle is
Half the length of the third side, that is
x + 31 = 2(x + 19)
x + 31 = 2x + 38 ( subtract x from both sides )
31 = x + 38 ( subtract 38 from both sides )
- 7 = x → A
Answer:
$69,408.17 = $69,410 rounded
Step-by-step explanation:
Final investment value
$69,408.17
Total interest earned
$19,408.17
Initial balance
$50,000.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
4.185%
The formula used in the compound interest calculator is A = P(1+r/n)^(nt)
A = the future value of the investment
P = the principal investment amount
r = the interest rate (decimal)
n = the number of times that interest is compounded per period
t = the number of periods the money is invested for
8(-m+3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
0 - 8 • (3 - m)
Step 2 :
Final result :
-8 • (3 - m)