MATHEMATICS HIGH SCHOOL

Simplify 2a2b3(4a2 + 3ab2 – ab) = ? A. 8a4b3 + 6a3b5 + 2a3b4
B. 8a4b3 + 6a3b5 – 2a3b4
C. 8a4b5 + 3a3b5 – 2a3b4
D. 8a4b5 + 3a3b5 + 2a3b4

Answers

Answer 1
Answer: 2a²b³(4a² + 3ab² - ab)
2a²b³(4a²) + 2a²b³(3ab²) - 2a²b³(ab)
8a⁴b³ + 6a³b⁵ - 2a³b⁴

The answer is B.

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What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below.

Can anyone answer this PLSSSSSSS I NEED IT!!!

Answers

Answer:

3

Step-by-step explanation:

What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months? ( I hate asking for help, but I am very bad at math... Could someone possibly help me figure it out? By going through the steps)a.
$25.47
b.
$202.55
c.
$611.20
d.
$4,861.20

Answers

There is a formula for a loan : A = P * r * ( r + 1 ) ^n / (( r + 1 ) ^n - 1 ), where P is the loan and A is the monthly payment. So P = $4,250 and r = 0.1325 : 12 = 0.011. ( 13.25 % = 0.1325 and we divide it by 12, because the interest is compounded monthly ). A = 4,250 * 0.011 * 1.011^(24) / ( 1.011^(24) - 1 ) = 4,250 * 0.11 * 1.3 / 0.3 = 4,250 * 0.0477; A = $202.55. Finally we have to multiply this sum by 24 : the total finance charge: $202.55 * 24 = $ 4,861.20. Answer: D ) $4,861.20

the correct answer is c

An investment club invested part of $8000 at 10% annual interest the rest at 12%. If the annual income from these investments is $900, how much was invested at each rate

Answers

let x be the amount invested  at 10%
so the amount invested at 12 % =  (8000-x)
   0.1x + 0.12(8000-x) = 900
   0.1x - 0.12x = 900- 960
   0.02x = 60
     x   =  3000      @ 10%
              8000 - 3000    =    5000     @ 12%

Allison has worked these times this week: 8:03 am 5:13 pm
7:58 am 4:49 pm
7:46 am 4:41 pm
8:23 am 4:50 pm
7:31 am 4:32 pm
How many hours did she work?



44.25

45

50

55.25

Answers

8:03 am 5:13 pm = 9 hrs 10 mins
7:58 am 4:49 pm = 8 hrs 51 mins
7:46 am 4:41 pm = 8 hrs 55 mins
8:23 am 4:50 pm = 8 hrs 27 mins
7:31 am 4:32 pm = 9 hrs 01 mins

Total = 44 mins 24 mins

Answer:

the Answer is 44.25

Step-by-step explanation: took the test

Which mathematical terms are necessary to form a precise definition of a line segment

Answers

Two points OR
One point, a line, and a length

How many milliliters of a 15% saline solution and how many milliliters of a 40% saline solution must be mixed to produce 10 milliliters of a 30% saline solution?Volume of 15% solution= ____
Volume of 40% solution = ____

Answers

x - volume of 15% saline solution. Theres is 15% x = 0,15 x saline solution
y - volume of 40% saline solution. There is 40% y = 0,4y saline solution

You want to produce 10 mililiers  so x+y= 10 

And this saline has to be 30%, so you've got  30 % * 10 = 0,3 * 10 = 3 ml saline. So:
0,15x + 0,4y = 3
And you've got system of equations:
\begin{cases} x+y=10 \n 0,15x+0,4y=3\end{cases} \n \begin{cases} x=10-y \n 0,15x+0,4y=3\end{cases} \n \hbox{Substitute value from first equation to second:} \n 0,15(10-y)+0,4y=3 \n 1,5-0,15y+0,4y=3 \n 0,25y=1,5 \qquad /:0,25 \n y=(1,5)/(0,25)=(150)/(25)=6 \n \hbox{Then:} \n x=10-y=10-6=4

So answer:
Volume of 15% saline solution : 4 mililiters
Volume of 40% saline solution: 6 mililiters. 
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