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Gemiola [76]
2 years ago
11

Consider these functions:

Mathematics
1 answer:
Lana71 [14]2 years ago
7 0

Answer:

Answer is 12

Step-by-step explanation:

f(g(-2))

=f((-2)^2+2)

=f(6)

=-1/2×6^2+5×6

=12

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Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Paul’s typing speed compare to Jennifer’s
yan [13]
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Another answer could be Paul's typing speed is 3/4ths of Jennifer's typing speed.

Feel free to ask any further questions.
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You invested money in two funds. Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you receiv
Angelina_Jolie [31]

You invested 11000 in in 2st fund and 9000 in 2nd fund

<h3><u>Solution:</u></h3>

Given that, You invested money in two funds.  

Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.  

This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.

Let the amount in Fund I be $x and amount in Fund II be $ y

Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)  

And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)  

Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660  

Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500

Subtract the two equations  

(2) ⇒ 0.6x + 0.1y = 7500

(1) ⇒ 0.16x + 0.1y = 2660

(-) --------------------------------

0.44x + 0 = 4840

x = 11000

Now, from eqn (2)  

0.12(11000) + 0.02y = 1500  

0.02y = 1500 – 1320  

0.02y = 180  

y = 9000

Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund

5 0
2 years ago
Samantha soends 45 minutes at the gym for 6 days a week. how many hours does she spend at the gym
Alexxx [7]

45 minutes * 6 days = 270 minutes at the gum

but we need to change minutes to hours

1 hours = 60 minutes

270 minutes * 1 hr/60 minutes =

270/60 hours

divide top and bottom by 10

27/6

divide top and bottom by 3

9/2

4.5 hours



7 0
2 years ago
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