Determine what type of model best fits the given situation: Principal P is invested at an annual interest of rate r, compounded k times a year for t years.
A. exponential
B. none of these
C. quadratic
D. linear

Answer:

A

Step-by-step explanation:

A percentage is the number over 100.

So to find, do 0.03 times 100 which equals 3

Answer:

D.It is a trinomial with a degree of 3.

Step-by-step explanation:

3 terms one to the power of 3

Answer:

the third one :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

slope=(11-0)/(2-0)=11/2=5.50

eq. of line through (0,0) is

y-0=5.50(x-0)

y=5.50 x

put x=b,y=p

p=5.50 b

Answer:

g = 23/16

Step-by-step explanation:

3/16 = (-5/4) + g

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

Answer:

x = 40

Step-by-step explanation:

Step 1: Write out an equation

4/5(x) = 32

Step 2: Solve by dividing both sides by 4/5

x = 32/(4/5)

Use KCF (Keep Change Flip) if you do not have a calc.

x = 40

Answer:

The answer is 40

Step-by-step explanation:

32 times 5 is 160

then: 160 divided by 4 is 40.

check the answer: 4/5 of 40 is 32

because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.

Answer:The answer 60.7371385562.

Step-by-step explanation:

The square root of 3,689 is approximately 60.74.

[tex]\sqrt{3689} = 60.74[/tex] (approx)

Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

Answer: 125

Step-by-step explanation:

4/25 = 20/Y

Cross multiply to get the equation

4Y = 500

Divide both sides by 4

Y=125

y=5 when x=20.

Given that, y is inversely proportional to x. When y = 25 , x = 4.

We need to find the y value when x=20.

Inversely proportional variables or quantities are those in which if one variable increases the other will decrease, and if one variable decreases the other increases.

Now, y∝1/x

⇒y=k/x

⇒25=k/4

⇒k=100

Thus, the y value when x=20.

y=100/20=5

Therefore, y=5 when x=20.

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Answer:

Step-by-step explanation:

Area of triangle = 1/2 × b × h

= 1/2 × 24 × 16

= 192 cm^2

Hope this helps

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Answer:

192 cm²

Step-by-step explanation:

Area of a triangle is equal to base × height × 1/2.

24 × 16 × 1/2

384 × 1/2

= 192

Answer:

We will fill 6 containers with 3/7 of another full

Step-by-step explanation:

Take the number of cups of flour and divide by the amount each container will hold

15 ÷ 2 1/3

Change to an improper fraction

15 ÷ ( 3*2+1)/3

15÷ 7/3

Copy dot flip

15 * 3/7

45/7

Change to a mixed number

6*7 = 42 with 3 left over

6 3/7

We will fill 6 containers with 3/7 of another full

Answer:

6 full and 3/7 of container

Step-by-step explanation:

15 cups divided by 2 1/3

(15) /2 1/3 =45/7=6.429  you need 7 containers

6 containers full and 3/7 of container

Answer: Y = 2 ; 3 ; 4

Step-by-step explanation:

Given the rule : y=1/4x + 1

X = 4, 8, 12

When x = 4

y = 1/4(4) + 1

y = 1 + 1

y = 2

When x = 8

y = 1/4(8) + 1

y = 8/4 + 1

y = 2 + 1

y = 3

When x = 12

y = 1/4(12) + 1

y = 12/4 + 1

y = 3 + 1

y = 4

Therefore ;

X - - - 4 - - - 8 - - - 12

Y - - - 2 - - - 3 - - - 4

Answer:

( 5 x + 3 ) ( 3 x − 4 )

A

Step-by-step explanation:

the answer is A. (5x+3) (3x-4)

I'm assuming you meant to say

P(A) = 2/3

P(A and B) = 1/3

If that is the case, then A and B are independent if and only if the following equation is true

P(A and B) = P(A)*P(B)

So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it

-------------------------

P(A and B) = P(A)*P(B)

P(A)*P(B) = P(A and B)

(2/3)*P(B) = 1/3

P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3

P(B) = (1*3)/(3*2)

------------------------

If P(B) = 1/2, then

P(A and B) = P(A)*P(B)

P(A and B) = (2/3)*(1/2)

P(A and B) = (2*1)/(3*2)

P(A and B) = 1/3

Which is the given probability for both events happening. This confirms we have the correct P(B) value.

The result is number [tex]r[/tex] where:

[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]

Hope this helps.

Answer:

Rate of power generation when the sky is cloudy= 5 watts per hour.

Rate of power generation when the sky is clear = 32 watts per hour.

Step-by-step explanation:

A large solar panel can generate power at a maximum rate of 400 kilowatts per day.

Let the number of hours when the sky is cloudy =C

Let the number of hours when the sky is clear = L

Given the inequality:

[tex]5C+32L \leq 400[/tex]

The rate at which the solar panel generates power when the sky is cloudy is 5 watts per hour.

The rate at which the solar panel generates power when the sky is clear is 32 watts per hour.

Answer:

Box one: 5

Box two: 32

Part 2 is: No

Step-by-step explanation:

Answer:

Domain:  

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

(-∞,∞),{x|x∈ℝ}

Range:  

[

−

4

,

∞

)

,

{

y

|

y

≥

−

4

}

[-4,∞),{y|y≥-4}

Step-by-step explanation:

Answer:

B. 8

Step-by-step explanation:

This is because a 6-8-10 right triangle (a variation of a 3-4-5 right triangle) is a Pythagorean Triple.

To show that the answer 8 works:

a^2+b^2 = c^2

6^2+b^2 = 10^2

36+b^2 = 100

b^2 = 64

b = sqrt64 = 8

Answer:

x=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

6^2 + x^2 = 10 ^2

36+ x^2 = 100

Subtract 36 from each side

x^2 = 64

Take the square root of each side

x = 8

the 10 th term for the sequence 1,3,5,7..... is 19

Step-by-step explanation:

n = 1; 1st = 2*1–1=1;

n= 2; 2nd =2*2–1=3;

n =3; 3rd =2*3–1=5;

n=4; 4th =2*4–1=7;

n=5; 5th =2*5–1=9;

n=6; 6th =2*6–1=11;

n=7; 7th = 2*7-1= 13

n= 8; 8th = 2*8-1 =15

n = 9; 9th = 2*9-1 = 17

n= 10; 10th = 2*10-1 =19

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).  

Answer:

-10 degree celsius

Explaination:

(-2) - 8

= -2 + -8

= -10 degree celsius

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Answer:

x+y=5a

5a is added to b which is the sum of x and y multiplied by 3. That is, b=x+y×3=5a×3=15a

Since, 5a is added to b= 5a+15a=20a,

Answer:

x = 4 2/7

Step-by-step explanation:

2/3 x= -1/2x+5

Add 1/2 to each side

2/3 x 1/2 x = -1/2x+1/2x+5

2/3 x +1/2x =5

Get a common denominator

2/3x *2/2  + 1/2 *3/3 = 5

4/6x + 3/6x = 5

7/6x = 5

Multiply each side by 6/7 to isolate x

6/7 *7/6x = 5 *6/7

x = 30/7

Change to a mixed number

x = 28/7 + 2/7

x = 4 2/7

Answer:

d

Step-by-step explanation:

only a scalence triangle has all sides with different length

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

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Answer:

In the photo

Step-by-step explanation:

Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.

Answer:

the one above me is right expet for 2 of them purple and orange

Step-by-step explanation:

it was right on edge

Answer:

x/25

Step-by-step explanation:

Answer:

Approximate answer: [tex]66.36 \ cm^2[/tex]

Step-by-step explanation:

[tex]DM = 5.66\cdot \cot(65^\circ)[/tex]

Denote the projection of point [tex]B[/tex] onto side [tex]DC[/tex] as [tex]M'[/tex].

[tex]M'C = 5.66\cot(62^\circ)[/tex]

[tex]MM' = AB = 8.9[/tex]

[tex]DC = DM + MM' + M'C[/tex].

Next we should put everything together in area formula for trapizium:

[tex]S = AM\cdot\frac{AB + DC}{2}[/tex]

Answer:

r = 5  

I just turned it in it was correct

Step-by-step explanation:

please mark brainliest

Answer:

7 = 2 + r

Step-by-step explanation:

So since we know the hanger is balanced, we can determine that r = the amt. of the other side - 2. =>

We can count the amt. of "1" on the side of the hanger with only 1 --> to get 7 "1" which is 7(1) = 7.

The other side with "r" has 2 "1" thus --> 2(1) = 2

So, 7 = 2 + r is our equation and if we were to solve for r, => r = 5

Hope this helps!

Answer:

0,.96 : 0.04 =24

Step-by-step explanation:

96 : 4 = 24 because 24 * 4 is 96

9.6 : 0.4 = 24 because 24 * 0.4 = 9.6

0.96 : 0.04 = 24 because 24 * 0.04 = 0.96

or

0.96 / 0.04 = 9.6 / 0.4 = 96 / 4 = 24