Answer:
$260
Step-by-step explanation:
GIven
P=$250
R=4%
T=1 year
The total amount of simple interest is
A=P(1+rt)
substitute
A=250(1+0.04*1)
A=250(1.04)
A=250*1.04
A=$260
Hence the total amount is $260
Answer:
92.4/3.3 = 28
Therefore, the number that 92.4 is 330 percent of, is 28.
Step-by-step explanation:
Answer:
15,625 feet and either 56.469 seconds or 87.719 seconds
Step-by-step explanation:
strap in because we need calculus buddy. we're given the displacement equation but we want velocity because at the bullets max height it will pause briefly before coming down and this implies zero velocity. derivative of that equation is -32t+1000. set this equal to zero and find t to see how long this takes. 31.25 seconds to reach zero velocity (the tip of the parabolic motion). now plug that t back into the displacement equation to find height after 31.25 seconds and it's like 15,625 which is ridiculously high. now it has to come down so gravity will be taking over here so it has it's own special equations and we know the equation for that is like x=1/2at^2 or something. we know x is 15,625. let's find time it takes to get down by solving that for t. 15,625÷4.9=t^2 so t=56.469 or something. now its unclear if they want the entire time elapsed from firing the gun or just the falling to ground time so if it's the entire time let's go ahead and add that initial 31.25 seconds to the 56.498 seconds so like 87.719 total seconds.
Answer:
The third answer. ( John's boat was farther from the deck at the beginning but Roberta's boat traveled more quickly)
Step-by-step explanation:
You already know that in the beginning John's boat begins 20 miles from the dock. Now you need to find Roberta! When each boat begins from the dock, it means when x=0. So lets insert that! y= 6(0)+15. You get 15. Now you know that its either the 3rd or 4th answer. The second piece of info you have for John is that it is 45 miles from the dock after 5 hours. Again, in the beginning it started with 20 miles. 45-20= 25 miles TRAVELED in 5 hours. For Roberta, we need to insert 5 in the equation for x. y=6(5)+15. You get: 45 again! But... Roberta started at 15 miles. So 45-15 is 30 miles. She traveled 30 miles in 5 hours. The only answer that is matching to our problem solving is the third answer. Hope this helps!
Answer:
x = -1/2
Step-by-step explanation:
multiply the -4 to all in parentheses
-4(3-2x) +2x =2x -8
-12+8x +2x =2x-8
isolate x by moving whole numbers to other side of equal sign and x to the other side
8x +2x -2x = -8+12
8x = -4
/8
divide by 8 to isolate x
x= -4/8
simplify
x= -1/2
