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3 years ago

Adam and his dad share the cost of the meal in the ratio of 2:3. Adam’s dad pays £52.20. What is the total cost of the meal

1 answer:

6 0

We have to calculate the total cost of the meal. We know that Adam ( A ) and his dad ( D ) share the cost of the meal in the ratio 2 : 3 and that Adam`s dad pays 52.20 Pounds. So A : D = 2 : 3; A : 52.20 = 2 : 3. Using the cross products, A * 3 = 2 * 52.20; A * 3 = 104.40; A = 104.40 : 3; A = 34.80 Pounds. Finally, A + D = 34.80 + 52.20 = 87.00. Answer: The total cost of the meal is 87 Pounds<span>. </span>

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My question is what is 4-5h how do you solve this problem

ioda

Let us assume that 4 - 5h = 0

we need to the value of h.

4 - 5h = 0
-5h = -4
-5h/-5 = -4/-5
h = 4/5

To check: substitute h by its value.
4 - 5h = 0
4 - 5(4/5) = 0
4 - 20/5 = 0
4 - 4 = 0
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3 years ago

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3 years ago

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What is the completely factored form of f(x)=x3+5x2+4x−6?

Gre4nikov [31]

$f(x)=x^3+5x^2+4x-6$
$f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)$

Synthetic division yields

-3 | 1   5   4   -6
.    |      -3 -6    6
- - - - - - - - - - - - -
.    | 1   2 -2    0

which translates to

$\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2$

with remainder 0. Now by the quadratic formula,

$x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3$

and so

$f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))$

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3 years ago

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

alina1380 [7]

Answer:

$138,345

Step-by-step explanation:

This is a compound decline problem, which will be solve by the compound formula:

$F=P(1-r)^t$

Where

F is the future value (value of house at 2030, 14 years from 2016)

P is the present value ($245,000)

r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)

t is the time in years (2016 to 2030 is 14 years, so t = 14)

We substitute the known values and find F:

$F=P(1-r)^t\\F=245,000(1-0.04)^{14}\\F=245,000(0.96)^{14}F=138,344.96$

Rounding it up, it will be worth around $138,345 at 2030

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3 years ago