Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
Answer:
Step-by-step explanation:
The answer is where the graph cuts the x-axis.
I can't see it very well but it looks like x = -0.4 and 2.3.
Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?
Answer: Brian invested $16000 in Fund B .
Step-by-step explanation:
Let x be the amount Brian invested in Fund B.
Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.
i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320
Profit on Fund B = 1% of x = 0.01x
Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)
= 0.02(8000+x)
As per question,
Combined profit=Profit on Fund A+Profit on Fund B
[tex]\Rightarrow\ 0.02(8000+x) =320+0.01x\\\\\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\\\\\Rightarrow\ 160+0.02x=320+0.01x\\\\\Rightarrow\ 0.02x-0.01x=320-160\\\\\Rightarrow\ 0.01x=160\\\\\Rightarrow\ x=\dfrac{160}{0.01}\\\\\Rightarrow\ x=16000[/tex]
Hence, Brian invested $16000 in Fund B .
Graphically, a point is a solution to a system of two inequalities if and only if the point lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality. lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality. lies in the shaded regions of both the top and bottom inequalities. does not lie in the shaded region of the top or bottom inequalities.
Answer:
lies in the shaded regions of both the top and bottom inequalities
Step-by-step explanation:
For a point to be a solution of two inequalities, it must lie in both solution sets. It ...
lies in the shaded regions of both the top and bottom inequalities
We want to define when a point is a solution of a system of inequalities, we will see that the correct option is: "lies in the shaded regions of both the top and bottom inequalities."
Just like in a system of equations, a solution of the system is must be a solution of both equations.
Here, a solution ot the system of inequalities must be at the same time a solution of each inequality.
Remember that the solutions of the inequalities are represented by shaded regions, so the point must belong to the intersection of the two shaded regions.
So the correct option is:
"lies in the shaded regions of both the top and bottom inequalities."
If you want to learn more, you can read:
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using the property of squares find the value of the following 24 square - 23 square
Answer:
47
Step-by-step explanation:
Using the follwing property
[tex]x^{2} -y^2=(x+y)(x-y)[/tex]
in which x=24 and y=23
so
[tex]24^2-23^2=(24-23)(24+23)\\=1(47)\\=47[/tex]
Answer:
47
Step-by-step explanation:
Lets say 24 is x and 23 is y.
the equation would be x^2 - y^2
this is = to (x-y)(x+y)
substitute the numbers in
(24-23)(24+23)
which simplifies to
(1)(47)
which equals 47
761.8 x 10^-8 Express the number in scientific notation. A) 7.618 x 10^-6 B) 7.618 x 10^-8 C) 7.618 x 10^2 D) 7.618 x 10^6
Answer:
[tex]\huge\boxed{A)\ 7.618\times10^{-6}}[/tex]
Step-by-step explanation:
The scientific notation:
[tex]a\cdot10^n[/tex]
where
[tex]1\leq a<10;\ n\in\mathbb{Z}[/tex]
We have
[tex]761.8\times10^{-8}[/tex]
We need to move the decimal point two places to the left.
[tex]\underbrace{(7.618\times10^2)}_{=761.8}\times10^{-8}=7.618\times(10^2\times10^{-8})[/tex]
use
[tex]a^n\cdot a^m=a^{n+m}[/tex]
[tex]=7.618\times10^{2+(-8)}=7.618\times10^{-6}[/tex]
Answer:
a
Step-by-step explanation:
how many 4 digit numbers can be formed if repetitions are not allowed and the numbers always end with 3?
- 405
- 450
- 540
- 504
Answer:
448
Step-by-step explanation:
we have four spaces
_ _ _ _ but we know that they end in 3
_ _ _ 3 so the question changes how many 3 digit numbers can be formed without repetion and 3
so the first one has 8 options 1,2,4,5,6,7,8,9 we can have 0 here.
the second one 8 we count 0
the third 7 so we have
8*8*7*1=448
dont know why it doesn't fit.
Astrid is in charge of building a new fleet of ships. Each ship requires 40 4040 tons of wood, and accommodates 300 300300 sailors. She receives a delivery of 4 44 tons of wood each day. The deliveries can continue for 100 100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 21002100 sailors.
Answer:
10 ships
Step-by-step explanation:
did it on Khan and
There can be many ways to solve this problem. Here, we will do this by thinking about units.
Let's say that Astrid can build
x
ships
xshipsx, start text, s, h, i, p, s, end text if she receives deliveries of wood for the maximum possible number of days, which is
100
days
100days100, start text, d, a, y, s, end text. How can we relate these two quantities with an equation?
100
days
⋅
y
ships
day
=
x
ships
100days⋅y
day
ships
=xships
So in order to find the number of ships
x
xx, we need to figure out the value of
y
yy, which is the rate of ships per day.
Hint #22 / 4
Notice what other information we are given:
40
tons
ship
40
ship
tons
40, start fraction, start text, t, o, n, s, end text, divided by, start text, s, h, i, p, end text, end fraction
300
sailors
ship
300
ship
sailors
300, start fraction, start text, s, a, i, l, o, r, s, end text, divided by, start text, s, h, i, p, end text, end fraction
4
tons
day
4
day
tons
4, start fraction, start text, t, o, n, s, end text, divided by, start text, d, a, y, end text, end fraction
2100
sailors
2100sailors2100, start text, s, a, i, l, o, r, s, end text
Which of these quantities can help us calculate a rate whose units are
ships
day
day
ships
start fraction, start text, s, h, i, p, s, end text, divided by, start text, d, a, y, end text, end fraction?
Hint #33 / 4
We can combine the following quantities:
4
tons
day
40
tons
ship
=
4
40
tons
day
⋅
ships
ton
=
0.1
ships
day
=
40
ship
tons
4
day
tons
=
40
4
day
tons
⋅
ton
ships
=0.1
day
ships
Now we can plug that in the original equation:
100
days
⋅
0.1
ships
day
=
x
ships
10
ships
=
x
ships
100days⋅0.1
day
ships
10ships
=xships
=xships
Hint #44 / 4
In conclusion, assuming Astrid receives the maximum possible amount of wood, she can build
10
1010 ships.
what is 136 1/50% of 231
Answer:
Step-by-step explanation:
136 1/50 % of 231 = 6801/50 % * 231
[tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]
= 314.2062
Please help me answer I need an answer asap:3
Answer:
please mark my answer brainliest
Step-by-step explanation:
it's 115
Answer:
115 degrees.
Step-by-step explanation:
< DBC = (180 - 40) / 2 = 70 ( as it is a base angle of an isosceles Δ)
< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).
So < EBC = 70 + 45 = 115 degrees.
How do we solve 56x + 79 if x = 23? (30 points!) GIVE A GOOD EXPLANATION, NOT JUST AN ANSWER, WHO EVER DOES IT FIRST GETS BRAINLIEST.
Hello friend!
The answer is: 1367
First, since x = 23, we rewrite the problem.
56(23) + 79 = ?
Now we need to figure out 56 time 23
56 times 23 = 1288
Now we have 1288 + 79.
1288 + 79 = 1367
Answer:
1,367
Explanation:
Step 1 - Input the value of x in the given expression
56x + 79
56(23) + 9
Step 2 - Multiply fifty six by twenty three
56(23) + 79
56 × 23 + 79
1,288 + 79
Step 3 - Add
1,288 + 79
1,297
Therefore, the answer to the given expression is 1,367.
Mr Lim, Mr Tan and Mr Chan have $8650 altogether. Mr Lim has $450 more than Mr Tan. Mr Chan has twice as much money as Mr Tan. How much money does Mr Lim have?
Answer:
Mr. Lim will have $2500
Step-by-step explanation:
Given:
The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;
Mr. Lim has $450 more than what Mr. Tan has;
Mr. Chan has double the amount of money than what Mr. Tan has.
Therefore, if we assume that the amount of money Mr. Tan has as x, then...
Total money = Mr. Tan + Mr. Lim + Mr. Chan
therefore,
8650 = x + (x + 450) + 2x
8650 = x + 2x + x + 450
8650 = 4x + 450
8650 - 450 = 4x
8200 = 4x
8200/4 = x
2050 = x
As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.
I hope this helped you :)
Select the correct answer. Frank created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Frank drew?
The equation of the line of best fit that Frank drew will be y = -(1/3) x + 16. Then the correct option is D.
What is the equation of a line passing through two points?Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]
Frank created a scatter plot and drew a line of best fit, as shown.
From the graph, the two points are taken that are (0, 16) and (3, 15).
(x₁, y₁) → (0, 16)
(x₂, y₂) → (3, 15)
Then the equation of line will be
y – 16 = -1/3(x – 0)
y = -(1/3) x + 16
Then the correct option is D.
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A piece of aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. What is its density of the aluminum rounded to the nearest hundredth? Only enter numerical values, which can include a decimal point.
Answer:
6.87 g/mL
Step-by-step explanation:
The density of an object can be found by dividing the mass by the volume.
[tex]density=\frac{mass}{volume}\\\\ d=\frac{m}{ v}[/tex]
We know that the aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. Therefore, the mass is 87.3 g and the volume is 12.7 mL.
[tex]m= 87.3 g\\\\v=12.7 mL[/tex]
Substitute the values into the formula.
[tex]d= \frac{87.3 g}{12.7 mL}[/tex]
Divide 87.3 g by 12.7 mL
[tex]d=6.87401575 g/mL[/tex]
Round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.
[tex]d= 6.87 g/mL[/tex]
The density of the aluminum is about 6.87 grams per milliliter.
2x.tg60= 10+csc30 plis
Answer:
[tex]2\sqrt{3}[/tex]
Step-by-step explanation:
I'm assuming the angles are in degrees.
[tex]2x \tan(60\º)=10+\csc(30\º)[/tex]
[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\sin(30\º)} $[/tex]
[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\frac{1}{2} } $[/tex]
[tex]$2x\cdot \sqrt{3}=10+2} $[/tex]
[tex]$x=\frac{12}{2\sqrt{3}} $[/tex]
[tex]$x=\frac{6}{\sqrt{3}} =\frac{6\sqrt{3}} {3} }=2\sqrt{3} $[/tex]
If a box of cat food can feed 5 cats for 4 days how long can a box of cat food & cat?
Answer:
HOME CARE & WELLNESS BASIC PET CARE HOW LONG CAN YOU SAFELY LEAVE A CAT ALONE?
BASIC PET CARE
How Long Can You Safely Leave a Cat Alone?
How Long Can You Safely Leave a Cat Alone?
People who live with cats know that they're not nearly as aloof or independent as alleged. Although cats don't require daily walks like dogs, your presence matters to them… and not only because you have the ability to open a can, fill a water bowl and clean a litter box.
Still, there may be times when you must leave your adult cat for overnight or longer. (Kittens younger than four months should not be left alone for more than four hours. Older than that, they can handle another hour or so. When they reach six months, they can tolerate an eight-hour day without company.)
The length of time you can leave a grown-up cat alone depends on the cat, his diet and your environment. Cats who eat dry food that you can make readily available may be left on their own for 24-48 hours as long as fresh water is accessible as well. Beyond that time frame, water may get too dirty to drink and the litter box full.
To prepare for leaving your cat alone, take steps to make your absence as low‐stress on him as possible. This should include a conversation with your veterinarian.
Answer:
31
Step-by-step explanation:
multiple 5 into 7 that is equal to I week than find the answer that is equal to 35 and minas it by 4 that is equal to 31
Solve the system of equations algebraically. 5x-3y=6 and 6x-4y=2 a. many solutions c. no solution b. (8,14) d. (9,13)
Answer:
d. (9, 13)
Step-by-step explanation:
5x-3y=6 /*6
6x-4y=2 /*(-5)
30x - 18y = 36
-30x +20y = - 10
2y = 26
y = 13
5x-3y=6
5x - 3*13 = 6
5x - 39 = 6
5x = 45
x = 9
(9, 13)
Select the correct answer. For what purpose are goods and services produced in a socialist economy? A. profits B. their usefulness C. to create demand D. to meet all consumer needs
Answer: B. their usefulness
Step-by-step explanation: A socialist economy may be described as a system whereby factors of production including goods and services are generally explored and processes in other to serve and benefit the people. In socialism, resources are deemed to be owned by all members of the public and as such total control resides with the government who makes decision on production, processing and sales of the resources to serve useful benefit for the people. The socialist econmoy opposes the capitalist form of government whereby goods and services are generated in other to yield profit.
PLZ HELP!!!! ASAP !!!!
Answer:
(A)
Sin á = a/c
Cos ∅ = a/c
Tan á = a/b
(B)
Sin á = a/c
Cos á = b/c
Tan á = a/b
Therefore á=
(inverse sin) a/c
Or
(Inverse cos) b/c
Or
(Inverse tan) a/b
(C)
If b = 12 and c = 13
then a =√(c²-b²)
= 5
Hence 5/13 = a/c
Therefore sin á = cos ∅ = a/c = 5/13
Pls answer this urgently
Answer:
The pic there has a step by step explanation
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]
[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]
[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]
[tex]= \frac{992640625^t6}{1265625}[/tex]
[tex]= \frac{922640625tttttt}{1265625}[/tex]
[tex]= 729t^6[/tex]
Answer : [tex]729t^6[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
What is the missing reason in the proof?
Statements
Reasons
1. AB / CD; BC // DA 1. given
2. Quadrilateral ABCD 2. definition of parallelogram
is a
3. AB CD; BC = DA 3. opposite sides of a
parallelogram are >
4. AC AC
4. reflexive property
5. AABC 2 ACDA 5. ?
perpendicular bisector theorem
Pythagorean theorem
HL theorem
SSS congruence theorem
Answer:
The correct option is;
SSS congruency theorem
Step-by-step explanation:
Given that opposite sides of a parallelogram are equal, whereby side AB is congruent to side CD and side BC is congruent to side DA and also that side AC is congruent to side CA, we have;
Triangle ABC with sides AB, BC, and AC is congruent to triangle CDA with corresponding sides CD, DA, and CA, by the Side-Side-Side (SSS) rule of congruency (two or more triangles that have all three sides of one triangle congruent to the three sides of the other triangle are congruent).
The missing reason in the proof is: SSS Congruence Theorem.
What is the SSS Congruence Theorem?SSS means side-side-side, meaning two triangles have three pairs of congruent sides.According to the SSS Congruence Theorem, two triangles with three pairs of congruent sides must be congruent to each other.Thus, ΔABC and ΔCDA has been shown to have three pairs of congruent sides, therefore, the missing reason in the proof is: SSS Congruence Theorem.
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Can guys please help me, please solve E
Answer:
Step-by-step explanation:
h(x)=12/x
h(a)= 12/a ( a is a variable number just replace x with a)
If an octagon is 24, how many is a pentagon?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
If an octagon is 24, how many is a pentagon?
Ans : Pentagon has 5 sides.
( A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides. The names of polygons are derived from the prefixes of ancient Greek numbers. )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
The pentagon is 15, when octagon is 24.
What is Polygon?
A polygon is a figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides).
Polygon with 8 sides known as Octagon and polygon with 5 sides known as Pentagon.
Here, given that, Octagon = 8 sides = 24
So, 1 side= 3
Then, we get, pentagon = 5 sides = (5×3) = 15
Hence, the pentagon is 15.
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Can someone tell me if this is correct? I said neither is correct.
Answer:
Neither is correct
Answer:
You are right.
Step-by-step explanation:
Neither transformation gives the triangle FGE.
If you invest $600 at 5% interest compounded continuously, how much would you make after 6 years?
Answer:
809.915$
Step-by-step explanation:
Amount of money = Principal x e^(rate x year)
= 600 x e^(0.05 x 6)
= 809.915$
Answer:
$809.92
Step-by-step explanation:
(see attached for reference)
Recall that the formula for compound interest (compounded continuously) is
A = P e^(rt)
where,
A = final amount (we are asked to find this)
P = principal = given as $600
r = interest rate = 5% = 0.05
t = time = 6 years
e = 2.71828 (mathematical constant)
Substituting the known values into the equation:
A = P e^(rt)
= 600 e^(0.05 x 6)
= 600 (2.71828)^(0.30)
= $809.92
Solve the inequality for x.
7 > 2x+9
Answer:
x<-1Step-by-step explanation:
[tex]7 > 2x+9\\\\\mathrm{Switch\:sides}\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\2x+9-9<7-9\\\\2x<-2\\\\\frac{2x}{2}<\frac{-2}{2}\\\\x<-1[/tex]
Question 5 of 5
Select the correct answer.
Which of these tables represents a function?
Answer:
the answer is w
Step-by-step explanation:
the answer to that question is w
Answer: y
Step-by-step explanation:
there can not be two of the same number in the x row
Someone pls help & at least try to show a little work . I will be marking someone brainliest ! & thank you sm i appreciate you !
Answer:
4+7x=32
7x=32-4
7x=28
x=4
Step-by-step explanation:
Answer:
This is how I calculated it.
If the total is $912
And the equipment costs $612.
I did $912- 612= $300 (There's only $300 remaining after purchasing the equipment)
Each uniform costs $25
So I did $300:25= 12
The School purchased 12 uniforms.
Have a nice day.
help help help me plZZZZZ ill give you brainly ;DDD
Answer:
the answer is 60.7
Step-by-step explanation:
60 to has a between numbers like given in the picture
so as number line it's
60.1 . 60.2 60.3 60.4 60.5 60.6 60.7 60.8 and continue
if u get any 3 digit number like 600 to 650 in number line
u do it like it the same 600.1 600.2.... and go on
Answer:
63½ or 63.5
Step-by-step explanation:
65-60=5
10points=5
1point=?
1×5/10= ½
that means the sequence continues after adding ½ i.e
60..60½...61...61½...62...62½...63...63½...64..64½...65
you have been asked the 8th number which is 63½
If f(x) = 2(x − 5), find f(8). 4 6 8 16
Answer:
f(8) = 6
Step-by-step explanation:
Plug in 8 as x in the function:
f(x) = 2(x − 5)
f(8) = 2(8 - 5)
f(8) = 2(3)
f(8) = 6
Answer:
[tex]\large \boxed{\mathrm{6}}[/tex]
Step-by-step explanation:
[tex]f(x)=2(x-5)[/tex]
Replace x with 8 to find f(8).
[tex]f(8)=2(8-5)[/tex]
Evaluate.
[tex]f(8)=2(3)[/tex]
[tex]f(8)=6[/tex]
A hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead before she realizes that she hasn't reset her pedometer. From the Chupacabra Trailhead she hikes for 8 miles along a bearing of N27°W which brings her to the Muffin Ridge Observatory. From there, she knows a bearing of S38°E will take her straight back to Sasquatch Point. How far will she have to walk to get from the Muffin Ridge Observatory to Sasquach Point, to the nearest tenth of a mile?
Answer:
9.05 mile
Step-by-step explanation:
From the information given :
Let represent S for Sasquatch Point
Let C represent Chupacabra Trailhead
Let M represent Muffin Ridge Observatory
The diagram for the bearing of the information given can be seen in the attached file below.
At angel C = 90° -27° = 63°
The Alternate angles are shown in the second diagram below.
In order to determine the distance she will have to walk from the Muffin Ridge Observatory to Sasquatch Point, we use the sine formula:
[tex]\mathtt{\dfrac{sin \ C }{c} = \dfrac{sin \ S}{s}}[/tex]
[tex]\mathtt{\dfrac{sin \ 63 }{c} = \dfrac{sin \ 52}{8}}[/tex]
By cross multiply
8 × sIn 63 = c× sin 52
[tex]\mathtt{c = \dfrac{8 \times Sin 63}{Sin \ 52}}[/tex]
[tex]\mathtt{c = \dfrac{7.1281}{0.7880}}[/tex]
c = 9.0458 mile
c [tex]\simeq[/tex] 9.05 mile to the nearest tenth
A man bought a car for 15000GH cedis . He later sold it at a profit of 25% .What was his selling price.
Answer:
3750 GH cedis
Step-by-step explanation:
Step-by-step explanation:
100%=15000GH cedis
125%=?
125×15000/100
18750GH cedis