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miv72 [106K]
3 years ago
6

James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha

red between James and Dan in the ratio of 2:3. In 1996 the profit was $ 20000. Show that Dan’s share was $3000.
Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

Dan part =3x

Dan value=( 5000/5)*3=3000

Step-by-step explanation:

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Ghella [55]

Answer:

x² +18x +81

Step-by-step explanation:

(a+b)²=a²+b²+2ab

(x+9)² = x²+9²+2*x*9= x² +18x +81

4 0
3 years ago
H(n) = 3^n+3; Find h (3n)
olya-2409 [2.1K]

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

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Step-by-step explanation:

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Determine the period of this function​
Salsk061 [2.6K]
<h3>Answer:  C) 6</h3>

Explanation:

The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.

Let's start at the top at the left most corner. This point has x coordinate of x = 1.

The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.

Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).

5 0
3 years ago
2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.
vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

a_1 = 2.8

a_2 = 3.4

Common difference = a_2 - a_1 = 3.4 - 2.8 = 0.6.

Expression for the nth term:

a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n

n = 50 for the fiftieth term. Therefore

a_{50} = 2.2 + 0.6 \times 50 = 32.2.

6 0
3 years ago
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