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Inga [223]
3 years ago
5

An antique clock cost £540. its price is increased by 18% in a year. what is it now worth?

Mathematics
1 answer:
Natalka [10]3 years ago
7 0
Well, we don't know how many years we're talking about?

Let's say we want to know the prize after one year: it's 540 +540 * 18%.

another way of writing it is 540* 118%. (this is 637.2)

after two years it will be:

540*118%*118%

we can also write it without =%: (as 100 % is always 1, 101% is 1.01 etc)

540*1.118*1.118

we can also make a more general statement:

n=number of years that have passed:

prize of the clock now=540*1.18^{n}
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4x+17/8-13x-2/17x-32+x/3=7x/12-x+16
Dahasolnce [82]

Answer:

4063/1274

Step-by-step explanation:

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6 0
3 years ago
The following graph represents the hourly commission of a home appliance salesperson, y, based on the number of salespeople that
grandymaker [24]

We have been given graph of a downward opening parabola with vertex at point (6.5,42.25). We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is f(x)=ax^2+bx+c.

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is y=a(x-h)^2+k, where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

0=-a(0-6.5)^2+42.25

0=-a(42.25)+42.25

-42.25=-a(42.25)+42.25-42.25

-42.25=-42.25a

a=1 Divide both sides by -42.25

So our equation in vertex form would be f(x)=-(x-6.5)^2+42.25.

Let us convert it in standard from.

f(x)=-(x^2-13x+42.25)+42.25

f(x)=-x^2+13x-42.25+42.25

f(x)=-x^2+13x

Therefore, the equation of function is standard form would be f(x)=-x^2+13x.

3 0
3 years ago
Im really struggling. please help me <br>​
Wittaler [7]

Answer:

A. x=6   B. x=4.5   C. x-35   D. x=13

Step-by-step explanation:

For A and B, divide the numbers you have. For C and D, multiply the numbers you have.

5 0
3 years ago
Read 2 more answers
Does it make sense? In my data set of 10 exam scores, the mean turned out to be the score of the person with the third highest g
san4es73 [151]

Answer:

Yes

Step-by-step explanation:

Given that  In my data set of 10 exam scores, the mean turned out to be the score of the person with the third highest grade.

No two people got the same score.

Let the scores be a,b,c,d,e in ascending order where no two scores are equal

If a+b=d+e =2c then we can have c as the mean of the scores of 5 persons

This is because

Total sum = a+b+c+d+e = (a+b)+c+(d+e)

= 2c+c+2c=5c

Average= 5c/5 = c

It makes sense and there are chances as long as the above condition is satisfied.

8 0
3 years ago
Select one:<br> a. 4<br> b.5<br> c. 6<br> d. 7
tino4ka555 [31]

Answer:

C

Step-by-step explanation:

Given 2 secants intersect a circle from a point outside the circle, then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

x(x + 10 + x) = 6(6 + 10 + x)

x(2x + 10) = 6(16 + x) ← distribute parenthesis on both sides

2x² + 10x = 96 + 6x ← subtract 96 + 6x from both sides

2x² + 4x - 96 = 0 ← in standard form

Divide through by 2

x² + 2x - 48 = 0 ← factor the left side

(x + 8)(x - 6) = 0

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

However x > 0 ⇒ x = 6 → C

7 0
3 years ago
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