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lorasvet [3.4K]
3 years ago
13

Colin buys a tv for £800. It depreciates at a rate of 4% per year. How much will it be worth in 3 years? Give your answer to the

nearest penny where appropriate
Mathematics
1 answer:
Burka [1]3 years ago
5 0

Answer:

£707.8

Step-by-step explanation:

Given data

Price=  £800

Rate= 4%

Time= 3 years

Let us apply the compounding formula

A=P(1-r)^r-------------Note the negative sign is because of depreciation

substitute

A= 800(1-0.04)^3

A= 800(0.96)^3

A=800*0.884736

A=  £707.8

Hence the value will be £707.8

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Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. How many gallons can Joe's tank hold?
Korolek [52]

Answer:

Amount of gas that can be hold by Joe's tank = 16 gallons.

Step-by-step explanation:

Given that Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. Now we need to find about how many gallons can Joe's tank hold.

So let's find change that happened after filling the gas.

Change = (5/8 full) - (1/4 full)

Change = (5/8 - 1/4)  full

Change = (5/8 - 2/8)  full

Change = (5 - 2)/8  full

Change = 3/8  full

So that means 3/8 full happens in 6 gallons

then 1 full will happen in 6/(3/8) gallons = 6*(8/3) gallons = 48/3 gallons = 16 gallons

So the amount of gas that can be hold by Joe's tank = 16 gallons.

3 0
3 years ago
determine the maximum or minimum of the quadratic function. express your answer in the form (x,y) and using decimals rounded to
kolezko [41]

We are given the following quadratic equation

f(x)=2x^2+7x-10

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

h=-\frac{b}{2a}

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75

The y-coordinate of the vertex is given by

\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is

(-1.75,-16.13)

7 0
11 months ago
Read 2 more answers
I need help with that plz got it rong it’s not 4
stepan [7]

Answer:

3

Step-by-step explanation:

x = 3

3 0
3 years ago
Read 2 more answers
PLZ ANSWER THIS<br> thanksssss
just olya [345]

Answer:

It should be C) 11+ 3 5/8

Step-by-step explanation:

5 0
2 years ago
Pls help i’m failing rn
Valentin [98]

Answer:

The answer is letter D.

Step-by-step explanation:

-2(4x+8)+3(5x-1)

=-8x-16+15x-3

=-8x+15x-16-3

=7x-19

4 0
3 years ago
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