what is ST? *with picture*

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

Answer:

try 7

Step-by-step explanation:

Answer:

A) A history book about pirates that has at least one character about female pirates

Explanation:

A history book about pirates will probably have educated views on a female pirate's life, as it's purpose is to inform.

The article about a female pirate's three-times-great grandchildren will likely not be specific and unbiased enough to have an educated answer to our question.

A movie about a female pirate will likely be dramatized and not have adequately expert ideas on the pirate's life.

A how-to-be-a-pirate guide will not accurately portray a 1600-1800 pirate woman's life. Because it's aimed at young girls, this is not a reliable source either.

So, our best answer should be A.

Good luck ^^

Answer:

a history book about pirates that has at least one chapter about female pirates

Step-by-step explanation:

Using an exponential function, it is found that the video got 8,314 total views over the course of the first 12 days.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

On the first day it was posted online, a music video got 250 views, and the number increased by 16% a day, hence the A(0) = 250, r = 0.16, and the equation is given by:

[tex]A(t) = 250(1.16)^t[/tex]

The total amount over the first 12 days is given by:

[tex]T = \int_{0}^{12} A(t) dt[/tex]

[tex]T = \int_{0}^{12} 250(1.16)^t dt[/tex]

[tex]T = 250\frac{(1.16)^t}{\ln{1.16}}|_{t = 0}^{t = 12}[/tex]

Applying the Fundamental Theorem of Calculus:

[tex]T = 250\frac{(1.16)^{12}}{\ln{1.16}} - 250\frac{(1.16)^0}{\ln{1.16}}[/tex]

T = 8314.

The video got 8,314 total views over the course of the first 12 days.

More can be learned about exponential functions at https://brainly.com/question/25537936

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Answer:

[tex]x=\dfrac{2}{5}\times (2+3)-3[/tex]

Step-by-step explanation:

The given ratio is 2:3.

x₁ = -3, x₂ = 2

We need to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio. The formula is as follows :

[tex]x=\dfrac{a}{a+b}(x_2-x_1)+x_1[/tex]

Put all the values,

[tex]x=\dfrac{2}{2+3}(2-(-3))+(-3)\\\\=\dfrac{2}{5}\times (2+3)-3[/tex]

Hence, the correct option is (d).

Answer: D

Step-by-step explanation:

I got it right on edge trust me :)

Answer:

37 degrees

Step-by-step explanation:

1. m∠CBA = 71+45 = 116 degrees

2. m∠CBA = m∠CDA because of the quadrilateral property of opposite sides.

3. m∠CBA + m∠CDA = 2*116 = 232.

4. Total angle measure of a quadrilateral is 360 degrees, so m∠BAD + m∠BCD = 360-232 = 128 degrees.

5. m∠BAD = m∠BCD = 128/2 = 64 degrees

6. m∠BAC = m∠BAD - m∠CAD = 64 - 27 = 37 degrees

Answer:

28.26

Step-by-step explanation:

3.14 x (3x3) = 28.26

Answer:

0.523

Step-by-step explanation:

Let :

New car = N

Sunroof = S

P(N) = 0.86

P(N n S) = 0.45

Recall :

P(A|B) = p(AnB) / p(B)

Therefore ;

P(S|N) = P(SnN) / p(N)

P(S|N) = 0.45 / 0.86

P(S|N) = 0.523

Answer:

74

Step-by-step explanation:

its easy

Answer:

2/3

Step-by-step explanation:

Have a good day :)

Answer:

p + 0.07p

Step-by-step explanation:

tax is a compulsory sum levied by the government on goods and services. taxes increases the price paid for products

If sales tax = 0.07p, total price paid increases by 0.07p

total price paid = price of the good + tax

total amount spent by Jonathan's mom = p + 0.07p

Answer:

C not sure if its correct

Step-by-step explanation:

I need points

Answer:

A chemical reaction happens when substances break apart or combine to form one or more new substances.

Step-by-step explanation:

New substances form when bonds break and new bonds form. The chemical properties of the new substances are different from those of the original substances

Answer:

25.136 in

Step-by-step explanation:

Given data

Adult bicycle wheel

Diameter= 26in

Radius= 26/2= 13in

Circumference= 2πr

Circumference= 2*3.142*13

Circumference= 81.692 in

Child's bicycle

Diameter= 18in

Radius= 18/2= 9in

Circumference= 2πr

Circumference= 2*3.142*9

Circumference= 56.556 in

Hence the difference in the distance traveled in one revolution is the difference in their circumference

Distance=  81.692 -56.556

Distance=  25.136 in

Answer:

D.

Step-by-step explanation:

Have a Nice Day

Answer:

it's D.

Step-by-step explanation:

Answer:

X=7 Y=5

Step-by-step explanation:

Answer:

First Question - c. 320

Second Question - b. 5

Third Question - a. 8

Answer:

33=k-15

Step-by-step explanation:

I hope this helps:)

Answer:

Step-by-step explanation:

the answer is b

Answer:

Step-by-step explanation:

5^4 = 625. I hope your calculator will do this.

625 / 5 = 125

There is a more general way to do this which will be in harmony with the rest of the question.

5^4 / 5^1 = 5^(4 - 1) = 5^3 = 125

b^4 / b2 = b^(4 - 2) = b^2

a remains as it is at a^3

So the answer is 125 a^3 b^2

Answer:

132 children and 88 adults

Step-by-step explanation:

let x represent the amount of kids and y represent the amount of adults.

since the problem says there was a total of 220 people at the fair an equation can be made

x+y=220

the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:

1.5x + 4y = 550

using the equations we can make this systems of equations:

1.5x + 4y =550

x + y =220

solve the systems of equations by subracting y on both sides of th bottom equation:

x=220-y

since x is equivant to 220-y it can be substitued for x in the first equation to make this:

1.5(220-y)+4y =550

--solve for y--

y=88  - there were 88 adults

substute 88 for y in the second equation

x+88=220

--solve for x--

x=138 - there were 132 children

Answer:

57/100

Step-by-step explanation:

look it up

Answer:

$5 ( sorry if it is incorrect)

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]x = 5[/tex] ---- 5-hour shift

Required

The expected earnings

The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.

Take for instance, the equation is:

[tex]y = 10x + 2[/tex]

The expected earnings will be:

[tex]y = 10*5 + 2[/tex]

[tex]y = 50 + 2[/tex]

[tex]y = 52[/tex]

Expected Earnings = $52

Answer:

third bubble, y = (1/3)^x

Step-by-step explanation:

Answer:

Irrational

Step-by-step explanation:

Answer: YES

Explanation: 3.65028 is a terminating decimal, or decimal that ends, and all terminating decimals are rational numbers.

Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.

How to determine this

Mode is the value that has the highest frequency in a given data set.

So,

8.75 the highest frequency in the data set

Mode = 8.75

Median is the middle of a sorted list of numbers when arranged in ascending order.

So,

4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order

Median = 7

Mean is the average or the most common value in a given set of values.

Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9

Mean = 61.75/9

Mean = 6.8611

Mean = 6.86 to 2 decimal place

Range is the difference between the highest value and lowest values.

Range = Maximum value - Minimum value

Range = 8.75 - 4.25

Range = 4.5

Read more about Central Tendency

https://brainly.com/question/542771

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Answer:

16

Step-by-step explanation:

Answer:

ther overall average would be 36

Step-by-step explanation:

Answer:

numbers are fun

Step-by-step explanation: teacher