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Firlakuza [10]
3 years ago
15

Expand. Your answer should be a polynomial in standard form. 3c(x2 – 5x + 6) =

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

Answer:

6cx-15cx+18c

Step-by-step explanation:

1.3c(x2-5x+6)

=6cx-15cx+18c

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A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat
fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

A=P(1+i)^n\\\\=471900\times1.1\\\\=519090

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000

Hence, the total amount of the investment after first 3 yrs is $390,000

3 0
4 years ago
Find the difference of 89,24,17
erma4kov [3.2K]
<span>Find the difference of 89,24,17 
</span>and what

8 0
4 years ago
Garrett buys a bag of cookies that contains 8 chocolate chip cookies, 6 peanut butter cookies, 7 sugar cookies and 7 oatmeal coo
Lina20 [59]

Answer:

p(chocolate chip) = 2/7

p(oatmeal) = 7/27

Step-by-step explanation:

probability = favorable outcomes/total outcomes

First, add up all the cookies in the bag.

8 + 6 + 7 + 7 = 28

Next find the probability of selecting a chocolate chip cookie. Since there are 8 chocolate chip cookies and 28 cookies in the bag, create a fraction.

p(chocolate chip) = 8/28

reduce by 4

p(chocolate chip) = 2/7

Now that the cookie was eaten that will reduce the number of chocolate chip cookies to 7 and the overall number of cookies to 27.

There are 7 oatmeal cookies and 27 total cookies, so create the fraction.

p(oatmeal) = 7/27

5 0
3 years ago
What is the distance from –8 to 4 on a number line?
nikdorinn [45]

Answer:

13 away

i used my fingers

4 0
3 years ago
Read 2 more answers
Please help me with question​
Mnenie [13.5K]

Answer:

4 hours 7 minutes

Step-by-step explanation:

Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.

Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:

.1 + .143 = .243

The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:

.243x = 1   Divide each side by .243

x = 1/.243

x ≈ 4.115

Let's convert .115 to minutes by multiplying by 60

.115 * 60 = 6.9 round to 7 for 7 minutes

It will take them around 4 hours 7 minutes to clean the attic.

7 0
3 years ago
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