HELP PLEASE?!!
Taking post test: exponential and logarithmic functions

now, this is assuming there are 365 days in 1 year, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years \end{cases}[/tex]

[tex]3000=2500\left(1+\frac{0.035}{365}\right)^{365\cdot t}\implies \cfrac{3000}{2500}=\left(1+\frac{0.035}{365}\right)^{365t} \\\\\\ \cfrac{6}{5}=\left(1+\frac{0.035}{365}\right)^{365t}\implies \cfrac{6}{5}=\left(\cfrac{73007}{73000}\right)^{365t}[/tex]

[tex]\log\left( \cfrac{6}{5} \right)=\log\left[ \left(\cfrac{73007}{73000}\right)^{365t} \right]\implies \log\left( \cfrac{6}{5} \right)=t\log\left[ \left(\cfrac{73007}{73000}\right)^{365} \right] \\\\\\ \cfrac{~~ \log\left( \frac{6}{5} \right)~~}{\log\left[ \left(\frac{73007}{73000}\right)^{365} \right]}=t\implies 5.21\approx t\qquad \textit{about 5 years, 2 months and a half}[/tex]

Answer:

The Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe.

Step-by-step explanation:

11/3=

3[tex]\frac{2}{3}[/tex]

2/3

We can see that the difference is GREAT. So, now, let's subtract.

[tex]3\frac{2}{3} -\frac{2}{3} =3[/tex]

So hence, the Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe!

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The muffin recipe requires 2/3 cup more milk than the bread recipe.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

To find out how much more milk is needed for the muffin recipe than the bread recipe,

we need to calculate the difference between the amount of milk required for each recipe.

The muffin recipe calls for 1 1/3 cups of milk, which is equivalent to 4/3 cups of milk.

The bread recipe calls for 2/3 cup of milk.

To find the difference between the two amounts of milk, we can subtract the milk required for the bread recipe from the milk required for the muffin recipe:

4/3 - 2/3 = 2/3

Therefore, 2/3 is the required fraction.

To learn more about subtraction;

https://brainly.com/question/2346316

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Answer:

x=1, y=10

Step-by-step explanation:

I'm gonna use the method of substitution.

2x+3(3x+7)=32

2x+9x+21=32

11x=11

x=1

y=10

At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold .

We have to solve this question by making equation and after creating equations we have to solve them properly to get the final answer .

According to question we know that combined total of sodas and hot dogs is :

Therefore , No. of sodas sold is 119 .

Now , Hot dogs :

Therefore , No. of hot dogs sold is 78 .

We know that their combined sum is equal to 197 . So ,

Therefore , our answer is valid .

Answer:

-335670

Step-by-step explanation:

Given :

Solving :

It forms a arithmetic sequence

So

a_335:-

So

S_n

The graph that has a linear fit that is best for the data that Alex collected is the graph attached.

A linear fit that would be best for Alex's data is one that tries to get an equal number of shoe sizes on both sides of the line.

The shoe sizes should also be a roughly equal distance to the line and the line should be drawn in the middle of the data. The line that does this best is shown attached.

Find out more on linear fits at https://brainly.com/question/839548.

Answer: 26

Step-by-step explanation: Multiply first then subtract 8(4)-(6) = 32 - 6 = 26

Answer:

26

Step-by-step explanation:

8a-b

Evaluate or substitute

8(4)-6

32-6

26

Answer:

(m-3)(m-2)

Step-by-step explanation:

Here,

m^2- 5m + 6

=m^2-(3+2)m +6

=m^2 - 3m - 2m +6

=m(m - 3) - 2 (m - 3)

=(m-3)(m-2)

Step-by-step explanation:

A is adjacent angles

B is supplementary

C is 180 - 131 = 49°

Answer:

6/5 or A. 1 1/5

Step-by-step explanation:

Hey there!

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

6/5 or 1 1/5 or A

Step-by-step explanation:

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

x < - 2

Step-by-step explanation:

7 < 3 - 2x ( add 2x to both sides )

2x + 7 < 3 ( subtract 7 from both sides )

2x < - 4 ( divide both sides by 2 )

x < - 2

the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45

A circle is a 2-dimensional shape with no edges.

The standard equation of a circle with centre (a, b) and radius "r" is given as:

(x-a)^2 + (y-b)^2 = r^2

Given the diameter of circle with coordinate  (2,2) and (8,14), the diameter is expressed as:

D = √12² + 6²

D = √144+36
D = √180

For the radius

r = √180/2

r² = 180/4

r² = 45

Determine the centre (a, b)
(a, b) = (2+8/2 2+14/2)
(a, b) = (5, 8)

Substitute

(x-5)^2 + (y - 8)^2 = 45

Hence the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45

Learn more on equation of a circle here: https://brainly.com/question/1506955

Answer:

264.54 cm

Step-by-step explanation:

Multiplying

Answer:

D

Step-by-step explanation:

Answer:

245-x

Step-by-step explanation:

Since x is the anount fewer than the mount Andrea picked, to get Julio's amount you would subtract x from 245.

Answer:

9.7

Step-by-step explanation:

sqrt(12^2-7^2) = sqrt(95) or 9.7

Answer:

1. 10

2. 4

3. 8

Step-by-step explanation:

You have to fill in the given values for y and undo in reverse order to find x.

1. y = 6

6 = x - 4

6 (+ 4) = x - 4 (+ 4)

10 = x

2. y = 0

0 = x - 4

0 (+ 4 ) = x - 4 (+ 4)

4 = x

3. y = 4

4 = x - 4

4 (+ 4) = x - 4 (+ 4)

8 = x

I hope this helps! Have a lovely day!! :)

Answer:

y

Step-by-step explanation:

bc I told u to ..............

Answer:

B and C

Step-by-step explanation:

The point where (-2,5) is located is also a intersection between the line B and C.

Answer:

76 in^2

Step-by-step explanation:

2 rectangles on the sides: 64 in^2

8x4 = 32

32x2 = 64

rectangle in the middle: 12 in^2

4x3 = 12

altogether area: 76 in^2

64+12 = 76

Answer:

Rectangle

Solve for length

l=4cm

w Width

7

cm

P Perimeter

22

cm

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=22

2﹣7=4cm

Based on the mean from the sample, I would expect that the number of guests that will stay at the small hotel than at the bed and breakfast would be 4.50.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

The number of guests at the small hotel in excess of those at the bed and breakfast = 7.75 - 3.25 = 4.50

To learn more about mean, please check: https://brainly.com/question/25842202

Answer:

315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

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At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:

S = 7.75 x 70 = 542.5

At the bed and breakfast, the mean was of 3.25 guests per night, hence:

B = 3.25 x 70 = 227.5.

The difference is given by:

S - B = 542.5 - 227.5 = 315.

Therefore, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

Answer:

Hope the picture will help you

Step-by-step explanation:

oh, come on ! you really cannot figure that one out ?

as there are 3 ft in 1 yd, 6 yd are then 6×3 = 18 ft.

so, 18 ft cost $2.88

1 ft costs then 2.88/18 = $0.16

Answer:

D

Step-by-step explanation:

The equation is 4πr²

The radius is half the diameter so divide the diameter by 2

40÷2=20

4π(20)²=5026.55mm

Rounds to 5027

Answer:

1) SAS

2) ASA

3) SSS

4) AAS

Answer:

B

Step-by-step explanation:

(a^3/2) / a

= a^(1/2)

= √a

= B

Answer:

D. A ( a-1/2)

Step-by-step explanation:

Hello!!

You must cancel out the common factor or in this case, ( a3/2) on the top.

You will now have ( 3/2) which should then be simplified to ( 1 1/2) or in this case ( A- 1/2)

Hope this helped!. :)

Answer:

or, x^2-14x-51=0

or, x^2-(17-3)x-51=0

or, x^2-17x+3x-51=0

or, x(x-17)+3(x-17)=0

or, (x-17)(x+3)=0

Either, x-17=0. Or, x+3=0

x=17. x= -3

Hence,x=17, -3

[tex]x^2-51=14x\\\\\implies x^2-14x = 51\\\\\implies x^2 -2\cdot 7\cdot x+7^2-7^2 =51\\ \\\implies x^2 -2\cdot 7 \cdot x +7^2 = 51 +49\\\\\implies (x-7)^2=100\\\\\implies x-7 = \pm\sqrt{100}\\\\\implies x =\pm10+7\\ \\\text{Hence,}~ x=17, ~x=-3[/tex]

Answer:

630

Step-by-step explanation:

1st = 3

2nd = 6

3rd = 9 ...

20th = 60

Súmalos todos juntos para encontrar la suma.

3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 + 33 + 36 + 39 + 42 + 45 + 48 + 51 + 54 + 57 + 60 = 630

La suma de los primeros 20 múltiplos de 3 es 630

¡Espero que esto ayude!