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lianna [129]
2 years ago
8

a bug travels up a tree, from the ground, over a 30-second invertal. It travels fast at first, and then it slows down. It stops

for 10 seconds, then proceed slowly, speeding up it goes. Which sketch best illustrates the bugs distance (d) from the ground over the 30-second interval (t)? Please do not send me a link because it doesn't work.​

Mathematics
1 answer:
svetoff [14.1K]2 years ago
7 0

Answer: The answer is the first one in the second row

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B. 2 Points determine a unique line
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2 years ago
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You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu
krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

x+y=250,000.

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then x\cdot 0.012=0.012x is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then y\cdot 0.062=0.062y is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

0.012x+0.062y=8,000.

3. Solve the system of equations:

\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.

Express x from first equation x=250,000-y and substitute it into the second equation

0.012(250,000-y)+0.062y=8,000.

Multiply this equation by 1000:

12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000

Then

x=250,000-100,000=150,000.

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.


8 0
2 years ago
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at
netineya [11]

Answer:

  f(x) = 4.35 +3.95·sin(πx/12)

Step-by-step explanation:

For problems of this sort, a sine function is used that is of the form ...

  f(x) = A + Bsin(2πx/P)

where A is the average or middle value of the oscillation, B is the one-sided amplitude, P is the period in the same units as x.

It is rare that a tide function has a period (P) of 24 hours, but we'll use that value since the problem statement requires it. The value of A is the middle value of the oscillation, 4.35 ft in this problem. The value of B is the amplitude, given as 8.3 ft -4.35 ft = 3.95 ft. Putting these values into the form gives ...

  f(x) = 4.35 + 3.95·sin(2πx/24)

The argument of the sine function can be simplified to πx/12, as in the Answer, above.

8 0
3 years ago
PLZ HELP WILL NAME BRIANLIEST
Kamila [148]

Answer:

SORRY IF IM WRONG BUT I THINK ITS C

Step-by-step explanation:

PLEASE MARK BRAINLIEST REMOVE MY ANSWER IF WRONG!!!!!!!!

3 0
3 years ago
Solve and recieve brain list ​
Mashutka [201]

Answer:

-x -7y=-15

y=3x-1

-x-7(3x-1)=-15

-x-21x+7=-15

-22x+7=-15

-22x=-15-7

-22x=-22

x=-22/-22

x=1

y=3x-1

y=3(1)-1

y=3-1

y=2

(1, 2)

4 0
2 years ago
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