if $850 grows to $1125 at an interest rate of 12.6% compounded continuously, how long has the money been in the account?

Answer:

3

Step-by-step explanation:

5x-2=3x+4

5x-3x=4+2

2x=6

x=3

Answer:

A. Mutually Exclusive is the correct answer

The events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.

Mutually Exclusive means when two sets have no common elements.

Not Mutually Exclusive means when two sets share common elements.

We have,

Cards numbered [tex]20[/tex] to [tex]30[/tex].

Let's

Set [tex]A =[/tex] Multiple of [tex]3[/tex]

i.e. Set [tex]A = \ \{ 21, 24,27,30\}[/tex]  

Set [tex]B =[/tex] Multiple of [tex]4[/tex]

i.e. Set [tex]B = \{20,24,28\}[/tex]

So, Set [tex]A[/tex] and Set [tex]B[/tex] have common element [tex]24[/tex], so we call them Not Mutually Exclusive, from the mentioned definition we find out this.

Hence, we can say that the events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.

To know more about Not Mutually Exclusive click here

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Answer:

-70x

Step-by-step explanation:

Answer:

Step-by-step explanation:

we need that theta angle .. soooo.... use SOH CAH TOA  to remind yourself how the trig functions fit on the triangle.....

since we have all 3 side any one of the above trig functions would work.  as a side note.. Tan is limited to the 1st quadrant on a calculator.. so maybe Cos is a good choice. although it would work in this case....

sooo ....

Cos(Ф) = Adj / Hyp

Ф = arcCos( 24 /25)

Ф ≈16.26°

I don't have csc on my calculator but I know that  1/sin  = csc  sooo

csc(16.26)=1/sin(16.26) ≈ 3.57

sec(16.26)= 1/cos(26.26) ≈ 1.041

cot(16.26) = cos(16.26) / sin(16.26) ≈3.476

Answer:

csc(0)= 25/7

sec(0)= 25/24

cot(0)= 24/7

Step-by-step explanation:

Answer:

4 1/6 cups of almonds left

Step-by-step explanation:

Granola recipe = 2 1/3 cups of almonds

2 1/2 batches of granola = 2 1/3 cups of almonds × 2 1/2

= 2 1/3 × 2 1/2

= 7/3 × 5/2

= (7*5)/(3*2)

= 35/6

= 5 5/6 cups of almonds

A bag of almonds = 2 cups

5 bags of almonds = 10 cups

Cups of almonds left = 10 cups - 35/6 cups

= 60-35/6

= 25/6

= 4 1/6 cups

Answer:

I think it is c I hope at least

Answer:

f(x)= x-7

h(x)= 2x+3

Step-by-step explanation:

h(fx)= 2(x-7)+3

      = 2x -14 +3

      = 2x - 11

Answer:

it's A,B and D , Edge 2021

Step-by-step explanation:

Answer:

The person over me is right, the correct answers are A,B and D.

Step-by-step explanation: I got them right. Edge 2021.

Answer:

x = 27

y = 29

Step-by-step explanation:

Answer:my age = 13years,My brother's age =16years,My sister's age=11years,my mom's age =47years

Step-by-step explanation:

Step 1

Let my age be represented as x

My brother's age be represented as x+3

My sister's age =x-2

and my mum's age be 3(x+3)-1  with the total of all our ages = 87 Giving us the equation

x+ x+3+ x-2+ 3(x+3)-1 = 87

Step 2 ---Solving

x+ x+3+ x-2+ 3(x+3)-1 = 87

x+ x+3+ x-2+ 3x+9 -1 = 87

6x + 9= 87

6x= 87-9

6x= 78

x =78/6 = 13

Therefore my age = 13years

My brother's age = x+ 3 = 13+3= 16years

My sister's age = x-2 =13-2 = 11years

my mom's age = 3(x+3)-1= 3(13+ 3)- 1= 3 x 16 - 1 = 47years

Answer:

3

Step-by-step explanation:

60 × 8 = 480 (mins)

96 (trucks) = 480 (mins)

÷32 (I got this number by dividing 480 by the desired amount of mins which was 15)

3 = 15

So 3 trucks would have been loaded in 15 mins

Answer:

Yes.

Step-by-step explanation:

Step-by-step explanation:

Using Pythagoras' Theorem, we have

x² + 10² = (12√3)²

Therefore x² = (12√3)² - 10²

= (144)(3) - (100) = 332.

=> x = √332 = 2√83. (B)

Answer:

x² + 8x + 7

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(x + 7)(x + 1)

Step 2: Expand

Answer:

[tex](x + 7)(x + 1) = {x}^{2} + 7x + x + 7 \\ = {x}^{2} + 8x + 7 \\ Answer:\: \: \: \: \: \: \boxed{{x}^{2} +8 x + 7}[/tex]

3⁴= 3×3×3×3= 81

3⁵= 3×3×3×3×3= 243

hope it helps! please mark me brainliest

thank you!! have a good day ahead..

Answer:

this is 3⁴= 81 and 3⁵= 243

Answer:

Numerical

Step-by-step explanation:

This is a numerical expression because there are no variables; there are only numbers.

Answer:

The expression is numerical.

Step-by-step explanation:

It is numerical because it contains numbers and operations. Algebraic expressions contain variables.

Answer:

5

Step-by-step explanation:

the are is pi times radius times radius

so do the square root of 25, which is 5.

this means that the radius is 5

Answer:

five (5).

Step-by-step explanation:

Area of circle =pi r^2

given that area is 25pi

now equate both .....we get

25pi=pi r^2

25=r^2

r=5

This is not a function because the numbers show no pattern and are very inconsistent. You can see if there is a pattern after the second line; you can see if the third line follows the pattern from the 1st and 2nd line, which it does not in this case.

May I have brainliest please? :)

Answer:

24 minutes

Step-by-step explanation:

The Dimensions of the wall are given as:

8ft × 5ft = 40ft² or 40 square feet

We are told that: You can paint 75 square feet of a surface every 45 minutes.

Hence:

75 ft² = 45 minutes

40 ft² = x minutes

Cross Multiply

75 ft² × x = 40 ft² × 45 minutes

x = 40 ft² × 45 minutes/75 ft²

x = 24 minutes

Therefore, It will takes you 24 minutes to paint a wall with dimensions 8ft × 5 ft

Answer:

9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°

Step-by-step explanation:

9. & 10.)

∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.

5x - 18 = 4x + 7 (Given)

x - 18 = 7 (Subtract 4x on both sides)

x = 25 (Add 18 on both sides)

Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.

Now we can solve for the angles.

11.)

5(25) - 18

125 - 18 = 107

Therefore, m∠MNQ = 107°.

12.)

∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°

∠MNR + 107 = 180

∠MNR = 73

Therefore, m∠MNR = 73°.

Answer:

x = 1 or x = -9

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 8 x - 9 = 0

Hint: | Solve the quadratic equation by completing the square.

Add 9 to both sides:

x^2 + 8 x = 9

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 16 to both sides:

x^2 + 8 x + 16 = 25

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 4)^2 = 25

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 4 = 5 or x + 4 = -5

Hint: | Look at the first equation: Solve for x.

Subtract 4 from both sides:

x = 1 or x + 4 = -5

Hint: | Look at the second equation: Solve for x.

Subtract 4 from both sides:

Answer: x = 1 or x = -9

Answer:

0. (45) 1. (51.71) 2. (48.24) 3. (55.44) 4. (59.43)

Step-by-step explanation:

Ill be so sorry if I get it wrong I did the math and this is what I got so if I get it wrong tell me ;w;

Answer: 1.15

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

im not sure why 3 is estimat efor pi, usually 3.14

2pi*r

2*4*3 = 24

Answer:I'm guessing 2

Step-by-step explanation:

Answer:

X=20

Step-by-step explanation:

x-7=13

x=13+7

X=20

Answer:

By mail

Step-by-step explanation:

by mail

HAVE A NICE DAY!!!!!!

Answer:

worked it out.

Step-by-step explanation:

0.884

8×84×10-1

Using the concept of relative frequency, it is found that:

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

A relative frequency is the number of desired outcomes divided by the number of total outcomes.

To find it as a percentage, we multiply by 100%.

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

The table used is the image at the end.

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

County 1 has 6,520 residents, out of which 2,470 are Republican.

2470*100%/6520 = 37.9%

Thus:

Republican residents of County 1: 37.9%.

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

County 1 has 6,520 residents, out of which 4,050 are Democratic.

4050*100%/6520 = 62.1%

Thus:

Democratic residents of County 1: 62.1%.

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

Total of 24,505 Residents, 10,075 Democrats and 14,430 Republicans.

10075*100%/24505 = 41.1%

14430*100%/24505 = 58.9%

Thus:

Total Republican residents: 58.9%.

Total Democratic residents: 41.1%.

A similar problem is given at https://brainly.com/question/20630951

Answer:

Find the following relative frequencies to the nearest tenth of a percent.

Republican residents of County 1: 10.1%

Democratic residents of County 1:  16.5%

Total Republican residents: 58.9%

Total Democratic residents: 41.1%

Correct on Edge! :)