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ipn [44]
3 years ago
5

2a2 - ab - 3b2 + 9 when a = 3 and b = 2​

Mathematics
1 answer:
Maslowich3 years ago
6 0

2(3^2)−(3)(2)−3(2^2)+9

2(3^2)−(3)(2)−3(2^2)+9

= 9

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Amy has 20 coins in her bank. The coins are all dimes and quarters. The total amount of money in her bank is $4.25 how many of e
solong [7]
16 qauters, 3 nickels, and 1 dime.
6 0
3 years ago
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
A deadly bacteria doubles in size every 3 hour. If there were initially 14 spores present, how long will it take for the number
Len [333]
1792=3x+14
I’m not sure that’s all the way correct
7 0
3 years ago
Your patience while we update our system.
Masja [62]

Answer:

equation: 320+x=360, answer: 40

Step-by-step explanation:

add 100,200 and 100 to get 320

360-320=40

x=40

8 0
3 years ago
Segu
Lynna [10]

Answer:

The formula is 10 - 3n

Step-by-step explanation:

For an nth term in an arithmetic sequence

U( n ) = a + ( n - 1)d

Where n is the number of terms

a is the first term

d is the common difference

From the sequence above

a = 7

d = 4 - 7 = - 3

The formula for an nth term is

U(n) = 7 + (n - 1)-3

= 7 - 3n + 3

The final answer is

= 10 - 3n

Hope this helps you.

3 0
3 years ago
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