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stealth61 [152]
3 years ago
11

Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one

third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68

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Identify the vertex and the axis of symmetry of the parabola. <br><br> HELP PLEASE!!!
jeka94

We know that the graph goes in units of 1.

We know that the roots are -1 and 4. (Just assume it's accurate and not off by 0.0000000001.)


We can set it up as an equation: -1(x+1)(x-4) = y (I added -1 because there are two parabolas that go through those points on the x-axis, and since this parabola is facing down, I must add a negative a value.


Then multiply (F.O.I.L. - First, Outer, Inner, Last)


x^2 -4x + x - 4 = -(x^2 - 3x - 4) = -x^2 + 3x + 4


Then using -(b/2a) solve for vertex: -(3/-2) = 3/2


Plug 3/2 back into the equation.

-(3/2)^2 + 3(3/2) + 4 = -9/4 + (9/2) + 4 = 25/4


The vertex would be: (3/2, 25/4)

Axis of symmetry would be: x = 3/2

8 0
4 years ago
F (x) = 81 Superscript StartFraction x Over 4 EndFraction Baseline = 3 Superscript x
ella [17]

Answer:

ID

Step-by-step explanation:

5 0
3 years ago
PLEASE I REALLY NEED HELP!!! I CANT FIGURE THESE OUT.
MArishka [77]

Answer:

  1.  B. $352.19
  2.  B. $9,126.53
  3.  D. $123,866.02

Step-by-step explanation:

First of all, the formulas need to be written correctly, and you need to understand what the variables mean. Usually, the variables have these meanings:

  • A — the amount you're trying to find, often a payment or balance
  • P — the principal amount invested or borrowed
  • r — the interest rate, often annual, sometimes the rate for the interval
  • n — the number of intervals in the year for purposes of interest compounding
  • t — the number of years (or intervals)

Usually, an annual interest rate is quoted and compounding is annual (n=1), quarterly (n=4) or monthly (n=12). In some formulas, r is the monthly rate and n is the number of months (there is no "t" in such formulas).

When we say "written correctly", we mean that parentheses are needed around exponents and denominators. In the formulas you have here, necessary parentheses are missing or misplaced, so you cannot use these formulas directly in your calculator or spreadsheet. If you're copying formulas from a question where they're typeset, be aware of the grouping effect of fraction bars and superscripts and use parentheses accordingly.

In the first two problems, you're not given P directly. Rather, the principal invested is to be computed as 10% of the amount given as "earnings."

___

1. P = $147; r = 0.035; n = 12; t = 25.

  A = P(1 + r/n)^(nt) = 147·(1 + .035/12)^(12·25) ≈ 147·1.002916667^300

  A ≈ 352.19 . . . . matches choice B

___

2. P = $3600; r = 0.0625; n = 4; t = 15.

  A = P(1 + r/n)^(nt) = 3600·(1 + .0625/4)^(4·15) ≈ 3600·1.01625^60

  A ≈ 9126.53 . . . . matches choice B

___

3. P = $208; r = 0.05/12; n = 300. Here, r is the monthly rate, n is the number of months. Please note the correction of the formula. The variable "S" refers to the Sum of payments and interest. This is effectively the sum of a geometric sequence, so the formula should look familiar on that basis.

  S = P((1 +r)^n -1)/r = 208·((1.004166667^300 -1)/0.004166667

  S ≈ 123,866.02 . . . . matches choice D

7 0
3 years ago
There are two containers out of which one can hold 31/2 litres of oil while the other can hold 22/3 litres of oil. Suppose there
Pavel [41]

The volume of the oil required to fill both containers will be 128 liters.

<h3>What is volume?</h3>

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of cube or cubied.

Given that:-

  • There are two containers out of which one can hold 31/2 liters of oil while the other can hold 22/3 liters of oil.
  • Suppose there are 4 containers of the first type and 9 containers of the second type.

The volume of oil in the first container is \dfrac{31}{2} liters so for four containers the volume will be:-

V = 4 x  \dfrac{31}{2}

V = 2 x 31 = 62 liters

The volume of oil in the second container is \dfrac{22}{3} liters.

V = 9 x  \dfrac{22}{3}

V = 3 x 22 = 66 liters

So total volume of oil will be calculated as:-

Total volume = 66 + 62 = 128 liters

Therefore the volume of the oil required to fill both containers will be 128 liters.

To know more about Volume follow

brainly.com/question/1972490

#SPJ1

3 0
2 years ago
If you roll two fair six-sided dice, what is the probability that the sum is 4 or higher?
makkiz [27]
Hope this helps you.

7 0
3 years ago
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