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lyudmila [28]
3 years ago
11

Yet another question.

Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

t= 3 years

Step-by-step explanation:

So far we have 2 useful relationshipsP_{t}= P_{o} e^{r*t} and P_{t}=2P_{0}

Now, clearing t

P_{t}= P_{o} e^{r*t} \\\frac{ P_{t}}{P_{o}} = e^{r*t}\\\frac{2 P_{0}}{P_{o}} = e^{r*t}\\2 = e^{r*t}

I apply logarithm

log(2)=r*t\\ t=\frac{log(2)}{r}\\t=\frac{0.3}{0.1} \\ t=3 years

Done

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A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat
fredd [130]

Answer: approximately 24

Step-by-step explanation:

We need to plot a regression line.

So we fit a model using the regression of Y on X, that an equation that predict Y for a given X using:

(Y -mean(Y ))= a(X-meanX)...........1

Where the formular of a is given the attachment.

N= the of individuals = 5

Y = amount of fat

X = time of exercise

mean(X )= sum of all X /N

= 131/5 = 26.2

mean(Y) = sum of all Y/N

= 104/5 = 20.8

a = N(SXY) - (SX)(SY)/ NS(X²) -(SX)²......2

SXY = Sum of Product X and Y

SX= sum of all X

SY = Sum of all Y

S(X²)= sum of all X²

(SX) = square of sum of X

a = -0.478

Hence we substitute into 1

Y-20.8 = -0.478 (X-26.2)

Y -20.8 = -0.478X - 12.524

Y = -0.478X + 33.324 or

Y = 33.324 - 0.478X (model)

When X = 20

Y = 33.324 - 0.478 × 20

Y = 33.324 - 9.56

Y = 23. 764

Y =24(approximately)

Carefully meaning of formula used in attachment to the solution they are the same.

4 0
3 years ago
What is the solution of this system of linear equations?
Allisa [31]

Answer:

(O,2)

Step-by-step explanation:

So I signed in to iReady did the question and got it right.

7 0
3 years ago
Find three consecutive odd integers so that the sum of twice the first, the second
netineya [11]

Answer: 23, 25, 27

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2 and x+4.

So

2x+(x+2)+3(x+4)=152

2x + x + 2 + 3x + 12 = 152

6x+14=152

6x = 152 - 14

x=138/6

x=23

So, the numbers are 23, 25 and 27.

7 0
3 years ago
A side of the triangle below has been extended to form an exterior angle of 164". Find
Arada [10]

Given:

Measure of exterior angle = 164°

The measure of opposite interior angles are x° and 53°.

To find:

The value of x.

Solution:

According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.

Using Exterior Angle Theorem, we get

x^\circ+53^\circ=164^\circ

x^\circ=164^\circ-53^\circ

x^\circ=111^\circ

x=111

Therefore, the value of x is 111.

3 0
2 years ago
Your family is planning a vacation for spring break and want to get the best deal. Option
marshall27 [118]

Answer:

Step-by-step explanation:

5 nights

5 0
3 years ago
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