What is the simple interest if
you borrow $200 for 3 years
at an interest rate of 10
percent?

\(1\frac{11}{12}\)

\(\frac{2}{3}+1\frac{1}{4}=\frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\\ \\=\frac{8+15}{12}=\frac{23}{12}=1\frac{11}{12}\)

9514 1404 393

Answer:

  (x, y) = (40, 2)

Step-by-step explanation:

Taking the antilog of the second equation, we have ...

  x/y^2 = 10

  x = 10y^2

Substituting this into the first equation gives ...

  (10y^2)y = 80

  y^3 = 8 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . cube root

  x = 10·2^2 = 40

The solution is (x, y) = (40, 2).

Answer:

Step-by-step explanation:

12

Answer:

get help from a tutor if you need help really fast :)

Step-by-step explanation:

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

Answer:

2/3 x 45 < 4/5 x 45

Step-by-step explanation:

Rearrange from smallest to largest:

2/3 x 45 < 4/5 x 45

I hope this helps!

The number of tiles required to completely cover the floor is approximately 1673 tiles

Let find the area of the floor . Therefore,

where

l = length

w = width

Therefore,

let's convert ft to inches.

9 ft = 108 inches

8 ft = 96 inches

area = 108 × 96

area = 10, 368 inches²

Number of tiles to completely cover the floor = 10368 / 6.2

Number of tiles to completely cover the floor = 1672.25806452

Number of tiles to completely cover the floor ≈ 1673 tiles

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The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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\(6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120\)

ok done. Thank to me :>

Answer:

function

Step-by-step explanation:

im not 100% sure

The two z values are -1.96 and +1.96 this means that option A is the correct choice.

From the given information we know that P(-z<Z or Z>z) = 5% = 0.05.

Then the table (area under the normal curve) the probability of values smaller than a certain z-score of the standard normal distribution.

Now the standard normal distribution is symmetric about 0.

P(-z<Z)=P(-z<Z or Z>z)/2

P(-z<Z)=0.05/2

P(-z<Z)=0.025

Here we have to determine the corresponding z-score in area under the normal curve table.

The corresponding z-score z is then given in row/column title of area under the normal curve table which corresponding to a probability of 0.025 or the probability closest.

-z = -1.96

Two z -values , positive and negative that are equidistance from the mean so that the area in two tailed total 5% are,

= ±1.967 = ±1.96

z=-1.96,+1.96

Therefore, the correct option is A.

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The term that can be used by the person to compute the interest in the investment will be simple interest.

It should be noted that simple interest simply means the interest that is charged on a loan.

The simple interest is gotten by multiplying the daily interest rate by the principal. When one borrows money.

Also, the type of interest that would save you more money if the interest rate and time for loans are exactly the same is a compound interest.

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Answer: x = - 10

Step-by-step explanation:

    We will use the equation given, substitute -1,000 in for y, and solve.

y = x³

(1,000) = x³

\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)

- 10 = x

x = - 10

In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2

The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.

Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.

Secondly, by close inspection we can see that it was dilated by a scale factor of 2.

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Answer:

D. all real numbers where x ≤ –1 or x ≥ 1.

Step-by-step explanation:

The graph of the function  f(x) = (1/x)cos √(x² - 1) is continuous for all real numbers, where - 1 ≤ x ≤ 1. The correct is option C.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

f(x) = (1/x)cos √(x² - 1)

To prove continuous function:

At that value, the limit must exist.

At that value, the function must be defined, and.

And at that point, both the limit and the function must have equal values.

In mathematics, a continuous function is one where a continuous variation of the argument results in a continuous variation of the function's value (i.e., a change without a leap).

As you can see in the attached image.

Function is not defined in between (-1, 1)

And function have a leap in between (-1, 1).

Therefore, the function is continuous for all real numbers, where - 1 ≤ x ≤ 1.

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The solution to the problem when \(46.3\) divided by \(1.5\)  the result of the division is \(30.8666667\) in decimal form.

When a large number is distributed into small numbers of equal parts is called division.

The number \(1.5\) is not a factor of \(46.3\) ,  on dividing them the remainder is not zero.

Therefore,  first convert \(1.5\) it into a whole number by multiplying it  \(10\) so it becomes \(15\) .

Then convert \(46.3\)  it into a whole number by multiplying it by \(10\) so it becomes \(463\)

Here,  \(\dfrac{463 \times 10}{15 \times 10}\) which results in \(\dfrac{463}{15}\).

Now, divide \(\dfrac{463}{15}\) ,  the result will be \(30.8666667\).

The solution to the problem when \(46.3\) divided by  \(1.5\) the result is \(30.8666667\).

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Using the vertical motion model equation, the maximum height in feet is 130 feet.

Given that:

a = -16.1 , b = 137 and c = -298

Now,

 -16.1t²+137t + 3 = 301

⇒ -16.1t² +137t -298 = 0

We know that:

ax²+bx + c = 0

Discriminant b²-4ac , we know:

(a) Δ < 0 , which has no solution

(b) Δ > 0 , which has 2 solution

(c) Δ = 0, which has 1 solution.

    y = a(x-300) (x+100)

Or, 30 = a (200-300) (200+300)

Or, a = -1/100

Or, y = -1/100(x²-200x + 300)

Or, y = -1/100 x² +2x +30

Therefore the maximum height is :

-1/100(100)² +2×100 +30 = 130

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The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

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Let's do

#a

\(\\ \rm\Rrightarrow 3^{-3}\times 3^{-2}\)

\(\\ \rm\Rrightarrow 3^{-3-2}\)

\(\\ \rm\Rrightarrow 3^{-5}\)

\(\\ \rm\Rrightarrow \dfrac{1}{3^5}\)

\(\\ \rm\Rrightarrow \dfrac{1}{243}\)

#b

\(\\ \rm\Rrightarrow \dfrac{-3}{(-3)^2}\)

\(\\ \rm\Rrightarrow \dfrac{-3}{9}\)

\(\\ \rm\Rrightarrow \dfrac{-1}{3}\)

\(\mathbb{PROBLEM:}\)

Evaluate:

a. 3 to the -3 power x 3 to the -2 power

b. -3/(-3) to the 2 power

\(\mathbb{SOLUTION:}\)

a. 3 to the -3 power x 3 to the -2 power

\( \tt \: {3}^{ - 3} \times {3}^{ - 2} \)

\( \tt \: {3}^{ - 3 - 2} \)

\( \tt {3}^{ - 5} \)

\( \tt \frac{1}{3.5} \)

\(\underline \bold\green{ \frac{1}{243} }\)

b. -3/(-3) to the 2 power

\( \tt \: \frac{ \: \: - 3}{ \: ( - 3) {}^{2} } \)

\( \tt \: \frac{ \: \: - 3}{ 9} \)

\( \underline \bold \green{ \frac{ \: - 1}{3 \: } }\)

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Answer:

y = 4 sin(π x) + 5

Step-by-step explanation:

A sine function with a midline of y=5, an amplitude of 4, and a period of 2 can be written in the following form:

y = A sin(2π/ x) +

where A is the amplitude, is the period, is the vertical shift (midline), and x is the independent variable (usually time).

Substituting the given values, we get:

y = 4 sin(2π/2 x) + 5

Simplifying this expression, we get:

y = 4 sin(π x) + 5

Therefore, the sine function with the desired characteristics is:

y = 4 sin(π x) + 5

Answer:

F

Step-by-step explanation:

Answer:

8 raspberries

Step-by-step explanation:

Answer:

You can start by changing 12 3/4 into a decimal, which would be 12.75.

The formula for perimeter of a rectangle is (l + w) x 2, so you could write it like this:

(12.75 + 6.4) x 2

Then solve the question in the parenthesis...

19.15 x 2 = 38.30

Now, the question says to write the perimeter into simplest fraction form.

38.30 = 38 3/10.

So, there you have it!

38 3/10 meters

If this helped mark me as brainliest!

Answer:

4/3/2/7-8= -7

Step-by-step explanation:

Step-by-step explanation:

\((9\pi \frac{2}{2} )\div 3\pi \\ \)

\( \frac{9\pi}{3\pi} \\ \)

\(3\pi\)

3π is the answer

Answer

x = 1, y = -3

Explanation

Given system of equations:

Using the elimination method, add (i) and (ii) together:

To solve for x, put y = -3 into (i)

The solution to the system of equations is x = 1 and y = -3

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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The value of variable x is,

⇒ x = 42

We have to given that;

In a right triangle,

⇒ sin (x + 10)° = cos (4x - 4)°

Now, We can simplify as;

⇒ sin (x + 10)° = cos (4x - 4)°

⇒ cos (90 - (x + 10))° = cos (x - 4)°

⇒ 90 - (x + 10) = x - 4

⇒ 90 - x - 10 = x - 4

⇒ 80 + 4 = 2x

⇒ 2x = 84

⇒ x = 42

Thus, The value of variable x is,

⇒ x = 42

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Answer:

18

Step-by-step explanation:

bc it is asking for the absolute value