Find the Principal when the Interest is $200, the Rate is 3%, and the time is 18 months.

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

[tex]f(x)=(x-2)^{2}+1[/tex]

45)

The function g(x) is given by:

[tex]g(x)=f(x-1)[/tex]

using f(x) we can find f(x-1)

[tex]g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1[/tex]

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

[tex]g(x)'=2(x-3)[/tex]

[tex]2(x-3)=0[/tex]

[tex]x=3[/tex]

Puting it on g(x) we will get y value.

[tex]y=g(3)=(3-3)^{2}+1[/tex]

[tex]y=g(3)=1[/tex]

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

[tex]g(x)=f(x+2)[/tex]

[tex]g(x)=((x+2)-2)^{2}+1[/tex]

[tex]g(x)=(x)^{2}+1[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2x[/tex]

[tex]0=2x[/tex]

[tex]x=0[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(0)=(x)^{2}+1[/tex]

[tex]g(0)=1[/tex]

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

[tex]g(x)=f(x)+2[/tex]

[tex]g(x)=(x-2)^{2}+1+2[/tex]

[tex]g(x)=(x-2)^{2}+3[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2(x-2)[/tex]

[tex]0=2(x-2)[/tex]

[tex]x=2[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(2)=(2-2)^{2}+3[/tex]

[tex]g(2)=3[/tex]

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

[tex]g(x)=f(x)-3[/tex]

[tex]g(x)=(x-2)^{2}+1-3[/tex]

[tex]g(x)=(x-2)^{2}-2[/tex]

Let's find the first derivative and equal to zero to find x and y minimum value.

[tex]g'(x)=2(x-2)[/tex]

[tex]0=2(x-2)[/tex]

[tex]x=2[/tex]

Evaluatinf g(x) at this value of x we have:

[tex]g(2)=(2-2)^{2}-2[/tex]

[tex]g(2)=-2[/tex]

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

Answer: -8.5

Step-by-step explanation:

I got it right on edg

Answer -8.5

Step-by-step explanation:

Given:

The relation is:

(-3,1),(-2,3),(-1,5),(0,7),(1,9),(2,11)

To find:

The slope and y-intercept for the given relation.

Solution:

Consider any two points from the given relation.

Let the two points are (0,7) and (1,9). So, the slope of the given relation is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{9-7}{1-0}[/tex]

[tex]m=\dfrac{2}{1}[/tex]

[tex]m=2[/tex]

The slope of the given relation is 2.

A point of relation is (0,7). It means the value of relation is 7 at x=0.

So, the y-intercept is 7.

Therefore, the correct option is D.

Answer:

1. P= 12

2. A=6

3. 3.75

Step-by-step explanation:

Hope This Helped

Answer:

Undefined

Step-by-step explanation:

Answer:

you cant divide by 0

Step-by-step explanation:

no solution

Answer: $43.20

Step-by-step explanation:

First, we are going to take the price of the box lunch ($6.50)

Now we are going to multiply it by 5

$6.50x5=$32.50

Now we take the total cost of the trip and subtract it by $32.50

$248.50-$32.50=216

now divide 216 by 5

216/5

$43.20

Answer:

y = -2/3x + 3

Step-by-step explanation:

Parallel lines have the same slope so we already know

y = -2/3x + b

Solve for b using the point given

-1=-2/3(6)+b

-1+4=b

b=3

y = -2/3x + 3

Answer:

Step-by-step explanation:

Please clarify the Question

Answer:hey cuz that bum is wrong answer is not measurement

Step-by-step explanation:

Answer:

11cm

Step-by-step explanation:

Given data

Volume of cuboid =385 cm^3

Base area= 35cm^2

We know that

Volume = Area* Height

substitute and solve for Height

385=35*H

H= 385/35

H= 11cm

Hence, the height is 11cm

9514 1404 393

Answer:

  a. The value of A₀ changes from 10 to 20

  b. t is replaced by (t-5)

Step-by-step explanation:

a. The given formula comes with a description that says A₀ is the initial dose in mg. If the initial dose changes from 10 mg to 20 mg, then A₀ changes from 10 to 20. The function becomes ...

  A = 20·0.97^t

__

b. Shifting the graph of the function to the right by 5 minutes is accomplished by replacing t with (t-5). At the same time, the domain changes from t ≥ 0 to t ≥ 5. The function becomes ...

  A = A₀·0.97^(t-5) . . . . . . . . for t ≥ 5

Answer:

D

1710(1+0.05)²⁰=4537.14

Answer:

(0,0)

Step-by-step explanation:

Required

Determine the coordinates of the origin

In geometry, the coordinates of the origin is the point where x and y are 0.

i.e.

[tex]x = 0[/tex] and [tex]y = 0[/tex]

So, the coordinate (x,y) is (0,0)

Answer:

No

Step-by-step explanation:

Three segments 4cm, 6cm, and 11cm cannot form a right triangle because if they could, then by Pythagorean theorem, 4^2 + 6^2 = 11^2, which is not true.

Moreover, the three segments cannot form an acute or obtuse triangle because by Triangle Inequality Theorem, the sum of two sides has to be greater than the third side. Here, (4cm + 6cm) is NOT larger than 11cm, and thus you cannot form a triangle.

Hope it helps,

Please mark me as the brainliest

Thank you

Answer:

No

Step-by-step explanation:

6^2+4^2=52

7^2=49

49 is not equal to 52, so no it is not a right triangle

Answer:

Step-by-step explanation:

yes yes i can i just need you pitcher the one u put dose not work

Answer: 18.25

Step-by-step explanation:

The arrow reaches its highest point at the y-value of the turning point. Thus, we need to find the maximum quadratic function.

-16x^2+20x+12

We know that the maximum( or minimum) of a parabola is reached at x= -b/(2a)= -20/ 2(-16)= 18.25

Showing that the object will reach a maximum height of 18.25 feet

Answer:

A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

95% CI from a sample of 50 students is (6.73, 7.67).

This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.

By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.

confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.

Here given that  95%  confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct

By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.

To learn more about confidence interval visit :

https://brainly.com/question/15712887

Answer:

520 miles

Step-by-step explanation:

65 mph * 8 hours = 520 miles

I hope this helps :)

Answer:

B, C, E, and F

Step-by-step explanation:

Recall the acronym for trigonometric functions: SOHCAHTOA

Thus:

B = 180 - (48 + 90) = 42°

Let's find the trigonometric functions using 42° as the reference angle:

Opp = b

Hyp = c

Adj = a

Applying SOH:

Sin 42 = opp/hyp

✅Sin 42 = b/c (option C is correct)

Applying CAH:

Cos 42 = adj/hyp

✅Cos 42 = a/c (option A is incorrect)

Applying TOA:

Tan 42 = opp/adj

✅Tan 42 = b/a (option E is correct)

Using 48° as reference angle:

Opp = a

Hyp = c

Adj = b

Applying SOH:

Sin 48 = opp/hyp

✅Sin 48 = a/c (option D is incorrect)

Applying CAH:

Cos 48 = adj/hyp

✅Cos 48 = b/c (option B is correct)

Applying TOA:

Tan 48 = opp/adj

✅Tan 48 = a/b (option F is correct)

Answer:

(-1,-1)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I am assuming you mean about the origin in that case it would be 3,2

because it is quad. 1 where both x and y are pos

if my answer helps please mark as brainliest.

Answer:

i think this is the anwer 100

Answer:11.1 feet

Step-by-step explanation:

Answer:

=415

Step-by-step explanation:

The girl in that picture is so pretty oml so if its you then you pretty a.ff

Answer:

The area of the shape is 126 cm.

Step-by-step explanation:

6 + 3 + 3 = 12 cm, all sides

12 * 12 = 144

3 * 3 = 9 / 2 = 4.5

4.5 * 4 = 18

144 - 18 = 126cm

Step-by-step explanation:

-6( 3c + 5)

Distributing

= - 18c - 30