All categories

2 years ago

Ashley plants a tree 45cm tall it grows by 10 cm each year. Find the amount ashley gets in the 5th year?

Mathematics

1 answer:

Genrish500 [490]2 years ago

4 0

Answer:

95cm

Step-by-step explanation:

45cm is the initial height

each year grow 10cm

growing time 5 years

45+(10 × 5)=95 cm

You might be interested in

Simplify the following expression

inysia [295]

The simplified form of given expression is $\frac{z^{3}}{x y^{2}}$

Answer: Option B

<u>Step-by-step explanation:</u>

Given expression:

$\frac{4 x^{0} y^{-2} z^{3}}{4 x}$

To find the simplified form of the given expression

We know, x to the power 0 is equal to 1. i.e. $x^{0}=1$ . Therefore, it gets removed in the given expression.

$\frac{4 y^{-2} z^{3}}{4 x}$

As common ‘4’ in numerator and denominator also gets cancelled in the given expression

$\frac{y^{-2} z^{3}}{x}$

Bring negative exponents (in numerator) down (to denominator) to form positive exponents, we get the simplified form of given expression as below,

$\frac{z^{3}}{x y^{2}}$

8 0

1 year ago

Harry took a loan from the bank.

Pie

Answer:

The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months that is given by :

$D(t) =-200t+ 9000$

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

$D(t)=-200(0)+9000$

So, $D(t) =9000$

Hence, the size of Harry's loan is $9000.

6 0

1 year ago

How do you find the volume of compound shapes

ioda

so in this case, we have a rectangular prism, a box, at the bottom, and a cone on top.

the prism is just a 17x9x5, and its volume is just that product.

the cone uses the short side of 9 for its diameter, so the diameter of the cone is 9, meaning its radius is half that or 4.5, whilst its height is 10.

$\bf \stackrel{\textit{volume of the prism}}{(17\cdot 9\cdot 5)}~~+~~\stackrel{\textit{voume of the cone}~~\frac{\pi r^2 h}{3}}{\cfrac{\pi (4.5)^2(10)}{3}}\implies 765+\cfrac{202.5\pi }{3}~\approx~977.0575$

7 0

1 year ago

What is AE ?

natulia [17]

The answer is 10 units. This is because you have to find X where 2x+10 just the same with the other side of the triangle.the triangle is also known as isosceles triangle in which two sides are equal to each other. You just have to equate it to the x+3. So 4x+30=2x+10 so x=10 units.

5 0

2 years ago

Read 2 more answers

Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv

Ira Lisetskai [31]

Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3

= (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = $\dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}$

Let dD/dT = 0 to find the critical value we will get

$\dfrac{70000000\left(291T^2-24298T+91800\right)}$ = 0

Using formula of quadratic, we get the roots:

T = 79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

$-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}$

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8) a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

3 0

2 years ago

Ashley plants a tree 45cm tall it grows by 10 cm each year. Find the amount ashley gets in the 5th year?​

Ashley plants a tree 45cm tall it grows by 10 cm each year. Find the amount ashley gets in the 5th year?