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GREYUIT [131]
3 years ago
12

Peter buys a camper van costing £35000+ 20% VAT he pays a 50% deposit and then arranged to pay the remaining balance in 20 equal

monthly instalments calculate the amount paid each month by Peter
Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0
35,000 + 20% VAT....
35,000 * 1.20 = 42,000

he paid a 50% deposit......0.50(42,000) = 21,000
leaving : 42,000 - 21,000 = 21,000

he paid remaining balance is 20 equal monthly installments..
21,000 / 20 = $ 1050 per month <===
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The distance between -2 and 4 on the number line can be found by which expression
Dahasolnce [82]
4 - -2

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3 years ago
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For fun question
ZanzabumX [31]
Consider the function f(x)=x^{1/3}, which has derivative f'(x)=\dfrac13x^{-2/3}.

The linear approximation of f(x) for some value x within a neighborhood of x=c is given by

f(x)\approx f'(c)(x-c)+f(c)

Let c=64. Then (63.97)^{1/3} can be estimated to be

f(63.97)\approxf'(64)(63.97-64)+f(64)
\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375

Since f'(x)>0 for x>0, it follows that f(x) must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function f(x). This means the estimated value is an overestimation.

Indeed, the actual value is closer to the number 3.999374902...
4 0
3 years ago
G(x)=3^x +1 and f(x)=3x+1 which values of x makes f(x) =g(x) true
fomenos

Answer:

x=1

Step-by-step explanation:

3^x +1

f(x)=3x+1

f(x) =g(x)

3x +1 =3^x +1

Subtract 1 from each side

3x = 3^x

Let x =1

3*1 = 3^1

3=3

5 0
3 years ago
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Find the x and y intercepts of the quadratic equation<br> f(x)=-x^2+4x-4
earnstyle [38]
<u>X - Intercept</u>
f(x) = -x² + 4x - 4
   0 = -x² + 4x - 4
   x = <u>-(4) +/- √((4)² - 4(-1)(-4))</u>
                         2(-1)
   x = <u>-4 +/- √(16 - 16)</u>
                    -2
   x = <u>-4 +/- √(0)
</u>               -2<u>
</u>   x = <u>-4 +/- 0
</u>              -2<u>
</u>   x = <u>-4 + 0</u>      x = <u>-4 - 0</u>  
            -2                 -2
   x = <u>-4</u>             x = <u>-4</u>
         -2                   -2
   x = 2               x = 2

The solution to the problem is {2, 2}, or {2}. The x - intercept of the problem is (2, 0).

<u>Y - Intercept</u>
f(x) = -x² + 4x - 4
f(x) = -(0)² + 4(0) - 4
f(x) = -(0) + 0 - 4
f(x) = -0 + 0 - 4
f(x) = 0 - 4
f(x) = -4

The y - intercept of the problem is (0, -4).
<u />
8 0
3 years ago
A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?
Ugo [173]

The density of the gold sample is 19.3g/cm³

Let the mass of the gold sample be represented by m

m = 579 g

Let the volume of the gold sample be represented by V

V = 30 cm³

Let the density of the gold sample be represented by ρ

The formula for the density is:

Density = \frac{Mass}{Volume}

\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3

The density of the gold sample is 19.3g/cm³

Learn more here: brainly.com/question/17780219

3 0
2 years ago
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