Marsha deposited $9,500 into a savings account 2 years ago. The simple interest rate is 2%. How
much money did Marsha earn in interest?
Substitute the values into the equation.
Interest=$years

Answer:

4 kg

Step-by-step explanation:

so 1.6 * 4 is 6.4 so you just double check if you want

4 + 1.6 which is 1/4 of 6.4 will be 5.6 (matches with the question)

4 + (1.6*4) (indicates it's full) = 10.4( also Matches with the question)

there is another way by setting up an equation. let me know in comments if you want to see it that way

If  tank weighs 5.6kg when it 1/4 filled with water. If it weighs 10.4kg when it is full , then weight when it is empty is 0.93kg

Two or more expressions with an Equal sign is called as Equation.

Given,

A tank weighs 5.6kg when it 1/4 filled with water

Tank weighs 10.4kg when it is full

We need to find the weight when it is empty.​

Let weight of the tank “x” and the weight of the water in the full tank “y”.

From the problem statements, we deduce the following equations:

x + y/4 = 5.6kg => x = 5.6kg - y/4

x + y = 10.4kg => y = 10.5kg - x

y = 10.5kg - (5.6kg - y/4)

3y/4 = 4.9

Thus y = 6.53kg; x = 0.93kg

Hence, weight of the tank when it is empty is 0.93kg.

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Answer:

150 x - 80 y + 50 - 50 x - 25 y + 20

Arranging like terms

150 x - 50 x -25 y - 80y + 50 + 20

100x - 105 y + 70

Answer:

20x - 21y + 14

Explanation:

[tex]\rightarrow \sf \dfrac{1}{5} (150x - 80y + 50 - 50x - 25y + 20)[/tex]

collect like terms

[tex]\rightarrow \sf \dfrac{1}{5} (150x-50x - 80y -25y + 50 + 20)[/tex]

add/subtract like terms

[tex]\rightarrow \sf \dfrac{1}{5} (100x - 105y+70)[/tex]

distribute inside parenthesis

[tex]\rightarrow \sf \dfrac{1}{5} (100x) + \dfrac{1}{5}( - 105y) + \dfrac{1}{5}(70)[/tex]

simplify the following

[tex]\rightarrow \sf 20x -21y + 14[/tex]

Answer: linear polynomial

Step-by-step explanation:

The solution to the inequality d / 7 + 4 ≤ 0 will be (–∞, –28]. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality equation is given below.

d / 7 + 4 ≤ 0

By simplifying the equation, we have

d / 7 ≤ – 4

    d ≤ – 28

Then the value of d must be less than or equal to the negative 28.

Then the correct option is B.

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The number of ways to choose the colors is 36

The given parameters are:

Colors = 9

Colors to choose = 7

Since order does not matter, then it is combination

This is calculated using:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives

[tex]^nC_r = \frac{9!}{7!2!}[/tex]

Evaluate

[tex]^nC_r = 36[/tex]

Hence, the number of ways is 36

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Answer:

[tex]\textsf {p(-4) = -134}[/tex]

Step-by-step explanation:

[tex]\textsf {Given :}\\[/tex]

[tex]\mathsf {p(x) = x^{3} - 3x^{2} + 7x + 6}[/tex]

[tex]\textsf {Substitute x = -4 to find p(-4) :}[/tex]

[tex]\mathsf {p(-4) = (-4)^{3} - 3(-4)^{2} + 7(-4) + 6}[/tex]

[tex]\mathsf {p(-4) = -64 - 48 - 28 + 6}[/tex]

[tex]\textsf {p(-4) = 6 - 140}[/tex]

[tex]\textsf {p(-4) = -134}[/tex]

Answer:

1.6

Step-by-step explanation:

4,4-2.8 = 1.6

6-4.4 = 1.6

7.6-6 = 1.6

Then common difference is 1.6

Answer: [tex]AB=4.7, BC=8.8, \angle C=28^{\circ}[/tex]

Step-by-step explanation:

As angles in a triangle add to 180 degrees,

[tex]\angle C=180^{\circ}-90^{\circ}-62^{\circ}=\boxed{28^{\circ}}[/tex]

We know that:

[tex]\sin 62^{\circ}=\frac{BC}{10}\\\\BC=10\sin 62^{\circ} \approx \boxed{8.8}[/tex]

Similarly,

[tex]\cos 62^{\circ}=\frac{AB}{10}\\\\AB=10\cos 62^{\circ} \approx \boxed{4.7}[/tex]

Hello!

We are trying to describe the behavior of the graph given in the question.

To help us understand how to solve this question, we would need to understand concavity.

There are two types of concavity:

When a graph is concave up, the slope of the line would look like a "U".

When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.

In this case, we can see that the graph is concave down.

We can tell that the slope is negative due to the fact that the slope is going down, which results in the graph having a negative slope.

We can also tell that the graph is decreasing due to the fact that the line is doing downward.

Answer:

C). negative and decreasing

Answer:

x=100/7

Step-by-step explanation:

The interior angles will sum to 360 so 72+89+99+7x=360

260+7x=360

7x=100

x=100/7

Answer: When a coin is tossed and a die is rolled the probability of getting a head or an even number is = 3/4

Step-by-step explanation:

probability : The ratio of the favorable outcome to the total outcomes is gives the probability.

        (1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)

        (1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

       (2,T),(4,T),(6,T)

        6+3 = 9

Therefore the probability is given by 9/12 = 3/4

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Answer: The probability of getting a head or an even number is = 3/4

  (1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)

      So, no. of possible outcomes 12

           (1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

            (2,T),(4,T),(6,T)

       6+3 = 9

Total outcomes = 12

Probability = [tex]\frac{No. of favorable outcomes}{total outcomes}[/tex]

Probability for this case is =  [tex]\frac{9}{12} =\frac{3}{4}[/tex]

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Answer: ZT = ZS

Step-by-step explanation: ZT = ZS must be true under all circumstances. This is because a perpendicular bisector of a line cuts the line into two equal pieces. It is the midpoint of the entire line. Thus, ZT is the same as ZS since the line is equally cut in half and thus are the same.

Answer:

1

Step-by-step explanation:

49 is divisible by 7, 1, 49. 25 is divisible by 5, 1, 25. they are exclusively prime so the highest factor is 1 and the only

Answer:

Step-by-step explanation:

[tex]25x^4-49y^2=(5x^2)^2-(7y)^2\\=(5x^2+7y)(5x^2-7y)\\=(5x^2+7y)[(\sqrt{5} x)^2-(\sqrt{7y} )^2]\\=(5x^2+7y)(\sqrt{5} x+\sqrt{7y} )(\sqrt{5} x-\sqrt{7y} )[/tex]

[tex]DE=\sqrt{13^{2}+12^{2}-2(13)(12)(\cos 59^{\circ})} \approx \boxed{12.3}[/tex]

Answer:

16 or -2

Step-by-step explanation:

Let the number be x.

Difference between the number and 7

= x -7 or 7-x

The square of the difference between x and 7

= (x -7)²

(x -7)²= 81

Square root both sides:

[tex]x - 7= \pm \sqrt{81} [/tex]

[tex]x - 7 = \pm9[/tex]

Add 7 to both sides:

[tex]x = 7\pm9[/tex]

x= 16 or x= -2

Thus, the number could either be 16 or -2.

Answer: -8

Step-by-step explanation:

[tex]y=8-2(8)=\boxed{-8}[/tex]

Answer: Y

Step-by-step explanation:

Since f(x) passes through (0,3), its inverse should pass through (3,0).

Also, since f(x) has a negative slope, so its inverse should also have a negative slope.

The graph of the inverse of function is shown in figure.

We have to given that,

Function is defined as,

f (x) = - 3x + 3

Hence, The inverse of function f (x) is,

f (x) = - 3x + 3

y = - 3x + 3

Solve for x,

3x = y + 3

Divide by 3;

x = (y + 3) / 3

Hence,

f⁻¹ (x) = (x + 3) / 3

f⁻¹ (x) = x/3 + 1

Therefore, The graph of the inverse of function is shown in figure.

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Answer: 72.0472

Step-by-step explanation:

[tex]A=\left(\frac{129}{360} \right)(\pi)(8^{2}) \approx \boxed{72.0472}[/tex]

Answer:

[tex]\displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2\sqrt{x^{3}}} \ - \ \displaystyle\frac{12}{x^{5}}[/tex]

Step-by-step explanation:

                      [tex]y \ = \ x^{3} \ - \ \displaystyle\frac{1}{\sqrt{x}} \ + \ \displaystyle\frac{3}{x^{4}} \\ \\ y \ = \ x^{3} \ - \ x^{-\frac{1}{2}} \ + \ 3x^{-4} \\ \\ \displaystyle\frac{dy}{dx} \ = \ 3x^{3 \ - \ 1} \ - \ \left(-\displaystyle\frac{1}{2}\right)x^{-\frac{1}{2} \ - \ 1} \ + \ \left(-4 \ \times \ 3\right)x^{-4-1}[/tex]

                       [tex]\displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2}x^{-\frac{3}{2}} \ - \ 12x^{-5} \\ \\ \displaystyle\frac{dy}{dx} \ = \ 3x^{2} \ + \ \displaystyle\frac{1}{2\sqrt{x^{3}}} \ - \ \displaystyle\frac{12}{x^{5}}[/tex]

Answer:

In standard form thats 4.4024

In standard form, 4+0.4+0.0024 can be written as 4.4024

Concept: Any number we can write as a decimal number, between 1.0 and 10.0, multiplied by 10, is said to be in the normal range. 1.23 × 108;

If you look closely, 1.23 is a decimal number between 1.0 and 10.0 so we have a standard form 123,000,000 as 1.23 × 108.

Given: 4+0.4+0.0024

In this case,4 is the integral value and 0.4 is at the first decimal place followed by 0.0024 at the third and 4th decimal place so combining them all together and writing them in standard form we get,4.4024

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The length of PR = 18 .

A chord is a line segment whose both points lie on the circle.

When a chord is extended it is called secant .

When two chords meet outside the circle , the product of length of the secant and its external segment is equal to the product of length of other secant and its external segment.

According to the given data

FR and FP are the secants of the circle

To determine the measure of PR

From the secant theorem

(7+9) * 9 = (5x+8) * 8

16 * 9 = (5x+8) *8

2 *9 = 5x+8

18 = 5x+8

5x = 10

x = 2

Therefore the length of PR = 5x+8 = 10+8 = 18

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Answer:

wrong question please place correctly thanks

Answer:

  5/6 mile

Step-by-step explanation:

The formula for the area of a rectangle can be used with the given values to write an equation for the length of the farmland.

__

Here is the equation for the area of a rectangle.

  A = LW . . . . . area is the product of length and width

When we fill in the area and width, we have ...

  5/9 mi² = L(2/3 mi) . . . . . equation for the length of the farmland

Solving this equation gives ...

  L = (5/9)/(2/3) mi . . . . . . . . divide by the coefficient of L

  L = (5/9)/(6/9) mi = 5/6 mi . . . . . perform the division

The length of Sandra's farmland is 5/6 mile.

Bikash borrowed Rs150,000 from Anish at the rare 21% per year at the end of 9 month. How compound interest should he pay compound half yearly.

Answer: By 8 hours, there will be 65536 bacteria in the culture.

Step-by-step explanation:

The numerical expression used for this problem is [tex]4^{8}[/tex].

You can find the value of this on a calculator. I hope this helps!! :)

If that is not the answer, then try 32 because 4*8=32.