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3 years ago

A garden table and a bench cost $1049 combined. The garden table cost $99 more than the bench. What is the cost of the bench?

Mathematics

1 answer:

slega [8]3 years ago

7 0

Answer:

475

Step-by-step explanation:

To find the cost of the bench, subtract 99 from 1049, then divide by 2. Add 99 to the answer(475) to get the cost of the garden table(574).

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two bird populations were studied and formulas were developed for each populations growth. the populations p1 and p2 are given b

STatiana [176]

Answer:

$20 e^{k*10} = 60 e^{0.2*10}$

We can divide both sides by 20 and we got:

$e^{10k}= 3 e^{2}$

Now we can appply natural log on both sides and we got:

$10 k = ln(3e^2)$

Now we can divide both sides of the equation by 10 and we got:

$k = \frac{ln(3e^2)}{10}= 0.30986$

So then the aproximate value of k is 0.30986 and rounded would be 0.31

Step-by-step explanation:

We have the following two expression:

$p_1 = 20 e^{kt}$

$p_2 = 60 e^{0.2t}$

We know that the two populations were equal 10 years after the start of the study, so then we can create the following equation:

$20 e^{k*10} = 60 e^{0.2*10}$

We can divide both sides by 20 and we got:

$e^{10k}= 3 e^{2}$

Now we can appply natural log on both sides and we got:

$10 k = ln(3e^2)$

Now we can divide both sides of the equation by 10 and we got:

$k = \frac{ln(3e^2)}{10}= 0.30986$

So then the aproximate value of k is 0.30986 and rounded would be 0.31

6 0

3 years ago

Which value is a solution to the inequality x – 4 > 15.5? A. X = 17.3 B. X = 21.4 C. X = 15.5 D. X = 19.3

Dvinal [7]

x-4>15.5

x>15.5+4

x>19.5

i suppose the answer is D since it is the closest to ^.

8 0

3 years ago

Martina begins a dive at sea level. She dives down 20 feet, and then rises 7 feet.

klasskru [66]

Answer:

martina is 22 feet below sea level

Step-by-step explanation:

Marina goes down 20 feet

then rises 7 feet which is 20 - 7 = 13

then goes down 9 more feet which is 13 + 9 = 22 feet

20 - 7 + 9 =22

Martina is 22 feet below sea level.

3 0

2 years ago

A new car dealer offered to sell her demonstrator model for 90% of the retail price. If the sale price was $9,750, what was the

Rainbow [258]

The answer would be 10833.3

4 0

3 years ago

Read 2 more answers

Choose the system of equations that matches the following graph:

Vilka [71]

One of the lines passes through points (0, 6) and (-4, 3). Hence the equation is given by:

(y - 6)/(x - 0) = (3 - 6)/(-4 - 0)

(y - 6)/x = -3/-4 = 3/4

4(y - 6) = 3x

4y - 24 = 3x

3x - 4y = -24

The other line passes through points (0, -3) and (1, 0). Hence the equation is given by:

(y - (-3))/(x - 0) = (0 - (-3))/(1 - 0)

(y + 3)/x = (0 + 3)/1

y + 3 = 3x

3x - y = 3

Therefore, the system of equations representing the graph is:

3x - 4y = -24

3x - y = 3

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3 years ago