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

Answers

Answer 1

Answer:

22 years approx.

Step-by-step explanation:

Step one

Given data

Principal P= $850

final amount A= $1125

rate r= 12.6%

Calculate time, solve for t

t = ln(A/P) / r

Step two:

Substitute

t= ln (1125/850)/0.0126

t=ln 1.32/0.0126

t= 0.277/0.0126

t=21.9

t= 22 years approx.


Related Questions

Emelina loaded 96 trucks in 8 hours. At that rate, how many trucks
would she load in 15 minutes?

Answers

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

find the equivalent expression for (x + 7)(x + 1)​

Answers

Answer:

x² + 8x + 7

General Formulas and Concepts:

Algebra I

Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(x + 7)(x + 1)

Step 2: Expand

Expand [FOIL]:                    x² + x + 7x + 7Combine like terms:           x² + 8x + 7

Answer:

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

Please help, find the measure of angle 1 (geometry)

Answers

The angle is 40 degrees

Determine if the following
is a function

Answers

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? :)

Find the angle represented by x. (rounded to the nearest tenth of a degree)

Answers

X=.5 digressed bsquare +.2= 11.23987

How should an online components be delivered?

Answers

Answer:

By mail

Step-by-step explanation:

by mail

HAVE A NICE DAY!!!!!!

Work out the value of (6.8 x 10^2) x (1.3 x 10^-3)

Answers

Answer:

worked it out.

Step-by-step explanation:

0.884

8×84×10-1

Write an equation to find x by substituting.
3. What does it mean to substitute here?
5x - 2 = 3x +4

Answers

Answer:

3

Step-by-step explanation:

5x-2=3x+4

5x-3x=4+2

2x=6

x=3

Use the figure at the right to answer questions 9-12.

Answers

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°.

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Which of the following is equal to [(x^2 y^3)^-2/x^6 y^3 z)^2]^-3

Answers

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.

Determine the circumference of a circle with a radius of 4 in. Use 3 as a estimate for \PiΠ

Answers

Answer:

24

Step-by-step explanation:

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

2pi*r

2*4*3 = 24

Translate the word phrase into a math expression.

11 fewer than the quotient of 2 and a number


11−(n÷2)

11−n÷2

11−(2÷n)

2÷n−11

Answers

answer
11-(2 divided by n)
sorry i don’t have that symbol
hope this helps and have a wonderful day :)

A granola recipe calls for 2 1/3 (mixed number 2 and 1/3) cups of almonds. A bag of almonds contains 2 cups. To make 2 1/2 (mixed number 2 and 1/2) batches of granola, Ali buys 5 bags of almonds. How many cups of almonds will he have left over?

Answers

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

Hi, I need help with the EXPLANATION of this question. I have the right answer, but I am unsure why. 50 POINTS

Answers

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)

evaluate the following:

csc(0)=

sec(0)=

cot(0)=

Answers

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:

I am three years younger than my brother and I am two years older than my sister my mom's age is 1 less than three times my brothers age when you add all these ages up you get 87 what are our ages

Answers

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

In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.

Answers

The answer is Stan twice ZG=30

Solving One Step Equations. SHOW YOUR WORK
x - 7 = 13 solve to find x

Answers

Answer:I'm guessing 2

Step-by-step explanation:

Answer:

X=20

Step-by-step explanation:

x-7=13

x=13+7

X=20

Does this problem have a solution yes or no?

Answers

No that is the answer

Answer:

Yes.

Step-by-step explanation:

Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.

b. 2x - 7 and the opposite of 2x

Answers

Answer:

-70x

Step-by-step explanation:

Complete this table

3
32
38
34
35
36
1
3
9
27
729

Answers

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

The numbers 20 through 30 are written on cards and placed in a box. Explain whether the events of choosing a number that is a multiple of 3 or choosing a number that is a multiple of 4 are mutually exclusive.

A. Mutually Exclusive
B. Not Mutually Exclusive

Answers

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.

What is Mutually Exclusive ?

Mutually Exclusive means when two sets have no common elements.

What is Not Mutually Exclusive ?

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

https://brainly.com/question/12947901

#SPJ2

If the area of a circle is 25pi (n), what is the radius of the circle

Answers

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

Is the expression 2(5-4) numerical or algebraic


Please help asap

Answers

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.

100 POINTS plus a Brainiest
The table represents an exponential function.

What is the ratio of outputs for any two inputs that are two values apart?

Divide the larger output by the smaller output.



Enter your answer, as a decimal to the nearest hundredth, in the box.

Answers

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:

Use the diagram below to solve for x and y. Please help! Fast if possible.

Answers

Answer:

x = 27

y = 29

Step-by-step explanation:

Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. A 4-column table with 4 rows. The first column has no label with entries county 1, county 2, county 3, total. The second column is labeled Democrat with entries 4,050; 3,925; 2,100; 10,075. The third column is labeled Republican with entries 2,470; 6,010; 5,950; 14,430. The fourth column is labeled total with entries 6,520; 9,935; 8,050; 24,505. Find the following relative frequencies to the nearest tenth of a percent. Republican residents of County 1: % Democratic residents of County 1: % Total Republican residents: % Total Democratic residents: %

Answers

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

Republican residents of County 1: 37.9%.Democratic residents of County 1: 62.1%.Total Republican residents: 58.9%.Total Democratic residents: 41.1%.

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

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! :)

solve: x2 + 8x - 9 = 0
please i need it urgently​

Answers

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

You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the given dimensions. 8 ft $\times$ 5 ft

Answers

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

Given: f(x) =x-7 and h(x)=2x+3
Write the rule for h(f(x))

Answers

Answer:

I think it is c I hope at least

Answer:

2x-11

f(x)= x-7

h(x)= 2x+3

Step-by-step explanation:

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

      = 2x -14 +3

      = 2x - 11

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