Your bank give you 6% annual interest compounded quarterly on all savings account balances. Which of the following is the multiplier used when modeling this situation

A. 1.015
B. 1.02
C. 1.04
D. 1.06
E. 0.94

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. [tex]dy[/tex] with the [tex]y[/tex] term and [tex]dx[/tex] with the [tex]x[/tex] term).

[tex]\frac{dy}{dx}=\frac{x-1}{3y^2}[/tex]

[tex]3y^2dy=x-1dx[/tex]

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

[tex]y^3=\frac{1}{2}x^2-x+C[/tex]

Then here, we just solve for [tex]y[/tex] and we have our general solution.

[tex]y=\sqrt[3]{\frac{1}{2}x^2-x+C}[/tex]

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

Hope this helps!

Answer:

Area = 162.70 square centimetre.

Step-by-step explanation:

From the given question,

AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°

The area of the parallelogram can be determined by;

Area = AD x AB x Sin <BAD

        = 11.1 x 15.5 x Sin 71°

        = 172.05 x 0.94552

Area = 162.67672

        = 162.70 [tex]cm^{2}[/tex]

Therefore, the area of the given parallelogram is 162.70 square centimetre.

Answer:

May you please attach a picture of Genivieve’s data or insert it as text?

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i got 100% on edmentum

Answer:

2 /5

Step-by-step explanation:

Answer:

I think it’s a reflection followed by a transformation

Step-by-step explanation:

Answer: Hope this helps

Step-by-step explanation:

Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.

The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.

The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.

The system of equations is then { 3s+m=100 3s+2m=140  

{

3s+m=100

3s+2m=140

​

​

Part B:

The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:

3s+2m amp;= amp;140 −(3s+m amp;= amp;100)       m amp;= amp;40

3s+2m

−(3s+m

m

​

amp;=

amp;=

amp;=

​

amp;140

amp;100)

amp;40

​

​

Substitute m=40m=40 into either equation and solve for ss:

3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20

3s+m

3s+40

3s

s

​

amp;=100

amp;=100

amp;=60

amp;=20

​

The solution of the system is then (s,m)=(20,40)

(s,m)=(20,40)

​

.

Part C:

Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.

Answer:

P = I / rt is the formula we're going to use.

P is the principle (which is what we're solving for)

I = the interest accrued over the specified amount of time (2 years)

r = the interest rate (6%)

t = the time specified (2 years)

Change the percent to a decimal. Place the decimal two places to the left to make 0.06.

P = 264 / 0.06(2)

P = 264 ÷ 0.12 = 2,200

Principal borrowed would be $2,200

Answer:

AB = 5

Step-by-step explanation:

The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be  √3  times as long, and the side opposite the 90 degree angle will be twice as long.

In this case we just divide 10 by 2

Answer:

5 cm

Step-by-step explanation:

Sin 30° = opposite / hypothenus

= AB / 10cm

AB = sin 30° × 10 cm

= 5 cm

Answer:

The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

To solve this question you need the formula of hypothenuse theorem, I personally use [tex]a^{2} + b^{2} = c^{2}[/tex].

Since [tex]c^{2}[/tex] is the hypothenuse, and the hypothenuse in this case is 15, the equation will be [tex]12^{2}+ b^{2} = 15^{2}[/tex].

144+[tex]b^{2}[/tex]=225

subtract 144 from both sides

[tex]b^{2}[/tex]= 81

[tex]\sqrt{b^{} } = \sqrt{81}[/tex]

b=9

Answer:

d=6.324

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

[tex]d=\sqrt{(-5-(-3)^{2} +(2-(-4)^{2} }[/tex]

[tex]d=\sqrt{(-5+3)^{2}+(2+4)^{2} }[/tex]

[tex]d=\sqrt{(-2)^{2}+6^{2} }[/tex]

[tex]d=\sqrt{4+36}[/tex]

[tex]d=\sqrt{40}[/tex]

[tex]d=6.324[/tex]

Answer:

A = 6k(k + 6)

Step-by-step explanation:

We have to solve the given equation for the value of A,

[tex]\frac{6k^2-36k}{A}.\frac{k^2+12k+36}{k^2-36}=1[/tex]

[tex]\frac{(6k^2-36k)(k^2+12k+36)}{A(k^2-36)}=1[/tex]

(6k² - 36k)(k² + 12k + 36) = A(k² -36)

6k(k - 6)(k + 6)² = A(k - 6)(k + 6)

A = [tex]\frac{6k(k-6)(k+6)^2}{(k-6)(k+6)}[/tex]

A = 6k(k + 6)

Therefore, value of A is 6k(k + 6).

what do you mean there is no question

Answer:

Step-by-step explanation:

‎‎‎‎‎‎‎‎‎‎‎‎        

Answer:

4 meters wide and 9 meters long

Step-by-step explanation:

equation- A=wl=4·9=36

Answer:

Hi how are you doing today Jasmine

Answer:

V/2 is the answer.

Step-by-step explanation:

V2 is V * 2, which is the opposite of what you want.

Answer:

14

Step-by-step explanation:

The two triangles are similar

KN/KL = MN/JL

12/32 = (x+1)/(3x-2) multiply the fractions

36x-24 = 32x+32 export like terms to the same side

36x-32 = 32 + 24

4x = 56 divide both sides by 4

x = 14

Answer:

C.

Step-by-step explanation:

All you have to do is multiply the cookie cost by the cookies and that gives you your answer.

0.30 * 36 = 10.80

The cost of 36 cookies is $10.80

1 cookie= $0.30

36 cookies= x

Cross multiply

1x= 0.30 × 36

1x= 10.8

x= 10.8

Hence the price of 36 cookies is $10.80

Please see the link below for more information

https://brainly.com/question/23032240?referrer=searchResults

Answer:

Domain: {2, 3, 4 }

Range: {3, 5, 7, 8}

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

Answer:

12

Step-by-step explanation:

Simplify 3 log(x+7) by moving 3 inside the parentheses with 7.f(x)=log((x+7)3)−5

Step-by-step explanation:

HOLA, SOY DORA. DO YOU WANNA HELP ME AND BOOTS.

Me:heck no

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Answer:

D. (4 1/2, 2 1/2)

Step-by-step explanation:

Look for each point on the coordinate graph.

Answer:

84%

Step-by-step explanation:

21/25 = 84/100 = 0.84 = 84%

Answer: 84%

Answer:

7(6+9)

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

No x^3 times x^5 is not equal to x^15. It is equal to x^8

Step-by-step explanation:

x3x5

=x3*x5

=(x*x*x)*(x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

Answer:

See explanation

Step-by-step explanation:

[tex]x^{3} = x*x*x\\x^{5} = x*x*x*x*x\\x^{3} x^{5} = x*x*x*x*x*x*x*x = x^{8}[/tex] ≠ [tex]x^{15}[/tex]

Answer:

B

Step-by-step explanation: