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Katarina [22]
3 years ago
9

How to write 1.07 as a equivalent percent?

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0
The decimal goes right 2 times so your answer would be 107.
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Solve the equation for <img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-fo
riadik2000 [5.3K]
X = 35


Step 1: Multiply both sides of the equation by seven thirds

Step 2: Reduce sides

Step 3: Multiply the numbers
4 0
3 years ago
Read 2 more answers
hat is the area of one base of the triangular prism? 24 square units 48 square units 160 square units 200 square units
Tems11 [23]

Answer:

24 a.)

Step-by-step explanation:

the base is a triangle

3 0
2 years ago
The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model
Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$  in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

                    $=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

                   $=10,000[e^{0.4}-1]$

                    $=10,000[0.49]$

                    =4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

   $=10,000e^{0.02(5)}$

   $=11051$

In 2000,

$P=10,000e^{0.02(10)}$

   =12,214

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0
3 years ago
Tom bought one third pickles as many pickles as alexa. Together their pickles cost 56p. How many pickles did they each buy?
nordsb [41]

Answer:

Step-by-step explanation:

let    pickle bought by alexa =x

then according to given condition ,

pickle bought by Tom= (1/3) of Alexa

pickle bought by Tom= (1/3) x

hence also given

totall pickle cost = Tom cost + alexa cost = 56p

(1/3)x+x=56

taking L.C.M

(4/3)x=56

x=56*3/4

x=42 p

so it means,

<h2>Alexa cost = x = 42p</h2><h2>Tom cost = (1/3)x= (1/3)*42 = 14 p</h2>
7 0
3 years ago
In Example 3, the track has 6 lanes that are each 1 meter in width. a. What is the outer perimeter of the track? Round your answ
son4ous [18]

Answer:

Incomplete question, check attachment for the necessary diagram

Step-by-step explanation:

Note in the attachment,

We have two identical straight line of lenght

L1 = L2 = 84.39m

We also have two identical semicircle or radius 36.5m to the first track lane

But this is not the radius of the circle, the radius of the circle will now be 36.5 plus the 6 track lane and we are told that one track lane is 1m, then, the track lane is 6m

So, radius = 36.5+6

r = 42.5m

Then, we need to calculate the perimeter of the semicircle using the formula of perimeter of a circle and dividing by2

P = 2πr/2

P =πr

P = 22/7 × 42.5

P = 133.57 m

Then, the arc 1 is equal to arc 2 which is equal to 133.57 m

A1 = A2 = 133.57 m

Now we have all the dimensions,

Then, the perimeter can be calculated by adding the length of the sides

The perimeter of the field = Lenght of the two straight lines plus the length of the two semicircle arc

P = L1 + L2 + A1 + A2

P = 84.39 + 84.39 + 133.57 + 133.57

P =435.923 m

So, to the nearest meter

P ≈ 436m

The perimeter of the track is 436m

5 0
3 years ago
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