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Agata [3.3K]
3 years ago
7

Which of the following graphs is described by the function given below?

Mathematics
1 answer:
dusya [7]3 years ago
6 0

Step-by-step explanation:

D. Graph D the answer is D

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Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
3 years ago
Which of the following statements is true for the logistic differential equation?
solong [7]

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

8 0
3 years ago
On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.
ivolga24 [154]

Answer:

If point C represents -1, then each space is 1 unit.

So, A = -10

B = -4

D=2

E=9

Let me know if this helps!

3 0
3 years ago
At 7pm last night ,the temperature was 10 degrees Fahrenheit. At 7am the next morning the temperature was negative 2. By how muc
stepladder [879]
The tempature decreased by 12, because 10-12= -2
6 0
3 years ago
Read 2 more answers
Two paths in a park intersect so that one of the angles at the intersection is 75°.What are the three other angle measurements f
oksian1 [2.3K]

Answer:

105°, 75°, and 105°.

Step-by-step explanation:

If two straight paths intersect at a point , four angles will be formed.

These are pairs of vertical angles.

The adjacent angles add up to 180°

If one of the angles is 75°, the supplement will be

180 - 75 = 105 \degree

Therefore the three other angles will be , 105°, 75°, and 105°.

5 0
3 years ago
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