MATHEMATICS HIGH SCHOOL

A shipping company charged $15 to ship a package and 5% of the shipping charge for insurance on thepackage. What was the total cost to ship this particular item?
A. $22.50
B. $25.20
C. $15.75
D. $90.00

Answers

Answer 1
Answer: Since we have a 5% shipping charge, the total cost will be the price of shipping + the shipping charge... so how do we find the shipping charge.  Well in math the word "of" means times, so to find 5% OF 15 we multiply...

5% x 15

We need to convert the percent to decimal in order to do the multiplication so divide it by 100 (move the decimal twice to the left)

.05 x 15 = .75

So the shipping charge is .75 or 75 cents.  We need to add it in to the original cost to find the total...

$15 + $0.75 = $15.75

Your answer is C

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Which is a factored form of 8x^3+1?

Answers

in factor form (2x+1)(4x^2-2x+1)

Your bank balance is $102.35 and you've just made purchases for $20, $33.33, and $52.80. You then make deposits of $25 and $24.75. What's your new balance?

Answers

Answer:

The new balance is $45.97 .

Step-by-step explanation:

As given

Your bank balance is $102.35 and you've just made purchases for $20, $33.33, and $52.80.

Bank balance after the purchase = $102.35 - $20 -$33.33 - $52.80

                                                       = $102.35 - $ 106.13

                                                       = - $3.78

As given

You then make deposits of $25 and $24.75.

Total deposit money = $25 + $24.75

                                  = $49.75

Thus

New balance = Bank balance after the purchase + Total deposit money

                      = - $3.78 + $49.75

                      = $ 45.97

Therefore the new balance is $45.97 .
$102.35 - $20 = $82.35
$82.35 - $33.33 = $49.02
$49.02 - $52.80 = $-3.78
$-3.78 + $25 = $21.22
$21.22 + $24.74 = $45.97
so $45.97 is your answer

Seth receives 100$ from his grandmother for his birthday he also saves 20$ every month tell whether the equation is linear or non-linear

Answers

Linear y=mx+b
100 is y intercept (b)
20 is your slope (m)
X would be equal to however many moths he saves

Simplify 3j - {2k - [5h - (3j + k)]}.-3h - 5k
3h - 5k
5h - 3k
-5h - 3k

Answers

If you would like to simplify 3j - {2k - [5h - (3j + k)]}, you can do this using the following steps:

3j - {2k - [5h - (3j + k)]} = 3j - {2k - [5h - 3j - k]} = 3j - {2k - 5h + 3j + k} = 3j - 2k + 5h - 3j - k = - 3k + 5h = 5h - 3k

The correct result would be 5h - 3k.

Answer:

to simplify 3j - {2k - [5h - (3j + k)]}, you can do this using the following steps:

3j - {2k - [5h - (3j + k)]} = 3j - {2k - [5h - 3j - k]} = 3j - {2k - 5h + 3j + k} = 3j - 2k + 5h - 3j - k = - 3k + 5h = 5h - 3k

The the answer is 5h - 3k.

Step-by-step explanation:

Which of the following are solutions to the equation below?check all that apply. x^2+6x+9=6
A. x=3+√6
B. x=3-√6
C. x=3
D. x=0
E. x=-3+√6
F. x= -3-√6

Answers

make it equal to zero
minus 6 from both sides
x^2+6x+3=0
quadratic formula
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}


x=\frac{-6+/- \sqrt{6^(2)-4(1)(3)} }{2(1)}
x=(-6+/- √(36-12) )/(2)
x=(-6+/- √(24) )/(2)
x=(-6+/- 2√(6) )/(2)
x=-3+/- √(6)


E and F are answer

If there is 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left after 32 hours and is the radioactive decay modeled by a linear function or an exponential function?A. 22.5 grams; linear

B. 22.5 grams; exponential

C.45 grams; linear

D. 45 grams; exponential

Answers

B.) 22.5 GRAMS, EXPONENTIAL

32 hours ÷ 8 hours = 4

The radioactive material will half 4 times.

360 x (1/2)⁴ = 22.50

360 x 1/2 = 180
180 x 1/2 =   90
  90 x 1/2 =   45
  45 x 1/2 =   22.50

Answer:

B. 22.5 grams; exponential .

Step-by-step explanation:

We have been given that there is 360 grams of radioactive material with a half-life of 8 hours.

As amount of radioactive material remains 1/2 of the amount after each 8 hours, therefore, our function will be an exponential decay function.

We will use half-life formula to solve our given problem.          

y=a*((1)/(2))^{(t)/(b)}, where,

a=\text{Initial value},

t=\text{Time},

b=\text{Half life}.

Let us substitute a=360 and b=8 in half life formula to get half life function for our given radioactive material.

y=360*((1)/(2))^{(t)/(8)}, where y represents remaining amount of radioactive material after t hours.

Therefore, the function y=360*((1)/(2))^{(t)/(8)} gives the half-life of our given radioactive material.

Let us substitute t=32 in our half life function to find the amount of material left after 32 hours.

y=360*((1)/(2))^{(32)/(8)}

y=360*((1)/(2))^(4)

y=360*(1^4)/(2^4)

y=360*(1)/(16)

y=22.5

Therefore, the radioactive material will be left 22.5 grams after 32 hours and the radioactive decay is modeled by an exponential function and option B is the correct choice.

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