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Lady_Fox [76]
1 year ago
7

For a luxury doughnut producer the average selling price is £2. The average variable cost is 40% of the selling price and its fi

xed cost per day is £300. Calculate total costs per day assuming it produces 400 doughnuts per day.
Mathematics
1 answer:
Cerrena [4.2K]1 year ago
6 0

Answer:

620

Step-by-step explanation:

selling 400 doughnuts means selling 800 £ worth of doughnuts. 800 x 0.4 ( to find 40 percent) = 320, + 300 because the the fixed cost = 620. :)

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A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how
sweet [91]

Answer:

4.9 years

Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

Future value = $12,600

To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

r = interest rate = 5.75%

n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

1.3263 = 1.014375^n

Log 1.3263 = n log 1.014375

n = Log 1.3263 / log 1.014375

n = 19.7856 Quarters

n = 4.9 years

6 0
2 years ago
In PQR, point S lies on QR. If PS is perpendicular to QR, which term describes PS?A. Perpendicular bisector
nikitadnepr [17]
It can't be for sure a perpendicular bisector cuz you don't know what kind of triangle you are dealing with so that one's out.  It's not necessarily an angle bisector either for the same reason. A median means that PS will go through the opposite side right in the center, and again, depending upon what type of triangle you have, this could be true...So it is an altitude, which is like a height of a triangle. It drops down from a vertex and forms a right angle with wherever it goes through. So D.
3 0
2 years ago
Read 2 more answers
11. S(-4,-6) and T(-7, -3); Find R.<br> What is the missing endpoint if S is the midpoint of RT
Nezavi [6.7K]

answer is (-7,-9)

step by step:-

S is the midpoint of RT so ,

s=\frac{R+T}{2 }

-4=\frac{x-7}{2}  ,     -6=\frac{y-3}{2}

-14=x-7  ,   -12=y-3

x=-7          ,    y=-9

R= (-7,-9)

5 0
2 years ago
phan fills the tank of her car with gasoline before starting her road trip. the table below shows the amount of gas left in her
liq [111]
G(h)    h
12      3
8        5
4        7
0        9

Equation of the line:

slope = [12-0]/[3-9] = 12 / -6 = -2

g / [h - 9] = -2

g = -2(h-9)

g = -2h + 18

g = 18 -2h

Filling the tank ==> h = 0

g = 18 - 2(0) = 18

Answer: first option g = 18 -2 h; 18
8 0
2 years ago
Read 2 more answers
Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit. (Hint: Assume that
Vadim26 [7]
So... if you notice the picture below

each circle, has their central angle at the vertex of the triangle
that simply means, 3 circles with a radius of 3, overlapping the triangle

now, the area in the middle, the shaded one, will be, the whole area of the triangle MINUS those 3 circle sectors

hmmmm each sector has 60°, that means, all three of them will then be 60+60+60 or 180°, so the area of those three sectors, can be combined into a 180° sector, well, hell, 180° is really half a circle

so.... the area of those three sectors of 60° each, all three combined, is the same area of half a circle with a radius of 3

so    \bf \textit{area of an equilateral triangle}\\\\&#10;A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{length of one side}\\\\&#10;-----------------------------\\\\&#10;\textit{area of a circle}\\\\&#10;A=\pi r^2\qquad r=radius\\\\&#10;\textit{area of half a circle}\\\\&#10;A=\cfrac{\pi r^2}{2}\\\\&#10;-----------------------------\\\\

\bf \textit{now, let us use the side of 6, and radius of 3}&#10;\\\\\\&#10;&#10;\begin{array}{clclll}&#10;\cfrac{6^2\sqrt{3}}{4}&-&\cfrac{\pi 3^2}{2}\\&#10;\uparrow &&\uparrow \\&#10;triangle's&&semi-circle's&#10;\end{array}\impliedby \textit{area of shaded area}\\\\&#10;-----------------------------\\\\&#10;\boxed{\cfrac{36\sqrt{3}}{4}-\cfrac{9\pi }{2}}

you can, add the fractions if you want, or leave them like that, or get their difference by using their decimal format

8 0
2 years ago
Read 2 more answers
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