A simple interest loan is taken for $5000 at 4% interest for 3 years. What
will the balance of the loan be after the three years?

Answer:

35.8

Step-by-step explanation:

                \(\frac{340.1}{9.5}\)  = 358

 We know that our answer can never be greater than 358 since the dividend

is 340.1 and the divisor is 9.5;

  Also,

  Both values are to one decimal places and we can use this to solve the problem;

  9 can divide 340 in about 37 place with a remainder of 7,

    So, it is appropriate to make the solution 35.8

Given:

P = $10000

r= 5%

Find:

we have to find the time for which initial bank deposit of $10,000 grow to $23,750 at 5% annual compound interest.

Explanation:

The formula for compound interest is

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(23,750.00/10,000.00) / ( 1 × [ln(1 + 0.05/1)] )

t = ln(23,750.00/10,000.00) / ( 1 × [ln(1 + 0.05)] )

t = 17.729 years

Summary:

The time required to get a total amount of $23,750.00 with compounded interest on a principal of $10,000.00 at an interest rate of 5% per year and compounded 1 times per year is 17.729 years.

(about 17 years 9 months)

Let's order from least to greatest:

• 100% = 1

• 17/16 = 1.0625

• 9/8 = 1.125

• 1.22

• 5/4 = 1.25

We ordered from least to greatest converting all the numbers and expressions given to decimals for an easier comparison.

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

The answer to 2 divided by 177 is approximately:

0.01129943503

However, if you need to give an exact answer, you can write it as a fraction:

2/177

This fraction cannot be simplified any further, so it is already in its simplest form.

Step-by-step explanation:

Answer:

the answer of your question is 0

Step-by-step explanation:

the answer is 0

Answer:

Step-by-step explanation:

Answer: 10

Hope this helps :)

Step-by-step explanation:

29b = 290

/29     /29

b = 10

Answer:

b = 10

Step-by-step explanation:

29b = 290

-----     ------

29        29

b = 10

The following is the scatter plot of Price ($) vs Number:

Notice that this scatter plot is congruent with Plot C

Now, a situation that could be modeled by this data could be the following:

A store keeps track of the products sold by transaction and the total cost of such transaction, resulting in the given table and scatter plot of Price vs Number of items.

To solve a quadratic equation means to determine the values of x that are solution to such equation.

In the case of a quadratic equation you have two solutions for x.

Other two words for a solution of a quadratic equation, are roots and zeros of the equation.

The rule of the quadratic function that satisfies the given conditions is f(x) = (x + 3)² - 3.

We have,

To find the rule of a quadratic function, we can use the standard form of a quadratic equation:

f(x) = a(x - h)² + k

where (h, k) represents the vertex of the parabola.

Given that the vertex is (-3, -3), we have h = -3 and k = -3.

Substituting these values into the standard form equation:

f(x) = a(x - (-3))² - 3

Simplifying further:

f(x) = a(x + 3)² - 3

Now, we need to find the value of 'a' in order to determine the specific quadratic function.

We can use the additional point (2, 22) that the graph passes through.

Substituting x = 2 and f(x) = 22 into the equation:

22 = a(2 + 3)² - 3

Simplifying:

22 = a(5)² - 3

22 = 25a - 3

25a = 22 + 3

25a = 25

a = 25 / 25

a = 1

Therefore, the value of 'a' is 1.

Substituting this value back into the equation:

f(x) = 1(x + 3)² - 3

Simplifying further:

f(x) = (x + 3)² - 3

Thus,

The rule of the quadratic function that satisfies the given conditions is f(x) = (x + 3)² - 3.

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The slope-intercept form is written as:

y = mx + b

So, we need to rewrite the given equation in this form:

x - y = 10

x - y - x = 10 - x

-y = 10 - x

(-1) * (-y) = (-1) * (10 - x)

y = -10 + x

y = x - 10

Now, we can graph the equation. In order to do so, we can plot two points that satisfy this equation and join them with a line.

Notice that, for x = 0:

y = 0 - 10 = -10

For x = 10:

y = 10 - 10 = 0

Thus, the points (0, -10) and (10, 0) satisfy the equation:

................b = 17...............

The requried measure of angle BOC (m BOC) is 7/5π radians (rounded to two decimal places). Option A is correct.

To find the measure of angle BOC (m BOC) in radians, we can use the formula:

Arc Length = Radius * Angle in Radians

Given:

The radius of the circle (OB or OC) = 15 units

Length of arc BC = 21π units

Let m BOC be the measure of angle BOC in radians.

We can rearrange the formula to solve for the angle:

Angle in Radians = Arc Length / Radius

Angle in Radians = 21π / 15

m BOC = 7/5π radians

So, the measure of angle BOC (m BOC) is 7/5π radians (rounded to two decimal places). Option A is correct.

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The questions seem to be incomplete, the complete question for the same has been attached in the image below:

Answer:

A. X=22

Step-by-step explanation:

x - 5 = 17

x =17 + 5

x = 22

Answer:

y=3x-2

Step-by-step explanation:

Answer:

\(y=3x-2\)

Step-by-step explanation:

points: (0, -2)((1, 1)

\(slope=\frac{1-(-2)}{1-0} =\frac{1+2}{1} =3\)

the ordered to the origin (intercepts the "y" axis): -2

\(y=mx+b\)   m=3, b=-2

\(y=3x-2\)

I hope this help you

Answer:

25%

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

12*28

Answer:

x+y=4

Step-by-step explanation:

hello :

note :  by identity  you have   x²-y² = (x-y)(x+y)

in this exercice : 2x²-2y² = 2(x²-y²) = 2 (x-y)(x+y)

means :   2 (x-y)(x+y) = 40

but x-y = 5

so : 2(5)(x+y) =40

x+y=40/10

x+y=4

The work done in stretching the spring from its natural length to 0.9 feet beyond its natural length is 3 foot-pounds.

This can be calculated using the equation W = F * d, where W is the work done, F is the force applied, and d is the distance the spring is stretched. In this case, F is 6 pounds and d is 0.5 feet (0.9 feet - 0.4 feet). Thus, W = 6 * 0.5 = 3 foot-pounds.

Force is a concept in physics that describes the influence that can change the motion of an object. Work done is the amount of energy transferred to or from an object when a force acts on it and causes it to move through a distance.

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Correct question:

A force of 6 pounds is required to hold a spring stretched 0.4 feet beyond its natural length.

How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?

Answer:30

Step-by-step explanation: jus subtract total number by 45 to c what u missin

Given: \(\textsf{45 + x = 75}\)

Need:  \(\textsf{The value of the unknown x}\)

Solution:  In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.

Subtract 45 from both sides

After simplifying the expression we were able to determine that x is equal to 30.

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

Two tangent segments both have a length of 12 and form a 60° angle where they meet at P and the distance of point P from the circle is 24 units.

When two tangent segments meet at a point P, they form a right angle. A segment from the center of the circle to the point of intersection is perpendicular to the tangent lines. So, in the present scenario, the angle between the two tangent segments is 60°. Therefore, the angle that each of these tangent segments makes with the line joining the center of the circle to P is 30° (as per the properties of 30-60-90 triangles).

Consider the below figure for reference. Let the center of the circle be O, and the point of intersection of the two tangent segments be P. Join OP. Now, the line OP is perpendicular to the tangent lines since it is drawn from the center of the circle to the point of intersection. We can divide the right-angled triangle OPB into two 30-60-90 triangles by drawing a perpendicular line from point P to line OB. Since OB is 12, then OP is twice as long, i.e. 24.

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Parent function is represented by the graph is

B. The quadratic parent function

What is Parent function?

A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family. For instance, displaystyle y=x2 is the simplest function in the family of quadratic functions with the general form displaystyle y=ax2+bx+c.

A parent function is an equation in the simplest form of a family of functions. There are many forms of parent functions such as: Linear functions: f(x)=x f ( x ) = x , where the degree of the function is 1 and represents a straight line.

The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

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Answer:

-2/5

Step-by-step explanation:

2/5 + -4/5 becomes 2/5-4/5

2/5-4/5= -2/5

Answer:

It’s the last one.

Step-by-step explanation:

135 can also be written as 9 times 15. Since this is a square root, find a factor that is repeated twice. 9 can be broken down into 3 times 3. Hence this goes on the outside. 15 stays inside.

Answer:

it is 26 smaller or 64 bigger

Step-by-step explanation:

Answer:

need more information to solve..