The formula to compute simple interest is /= prt where /is the interest earned in dollars, pis the principal invested in dollars, ris the rate at which it is invested, and tis the time in years of the investment. If Pat invests $500 at 4% for 3 years, how much interest will he earn?
$120
$60
$50
$600​

Answer:

26 sq units.......

Answer:

Since a normal deck of cards holds 52 cards, and there are two red aces, ace of diamonds and ace of hearts. So 2/52 probability that you will draw a red ace, to simplify it is a 3.84% chance of drawing a red ace.

Answer:

8a+7c-3

Step-by-step explanation:

Answer:

Volume of the fish tank = 840 cm³

Step-by-step explanation:

Given:

Length of rectangular prism tank = 15 cm

Height of rectangular prism tank = 8 cm

Width of rectangular prism tank = 7 cm

Volume of the rectangular prism tank = Length × Width × Height

V = 15 × 7 × 8

V = 840 cm³

Volume of the fish tank = 840 cm³

Answer:

Answer would be 12

Step-by-step explanation:

i'm not always accurate but your welcome!

Answer:

Step-by-step explanation:

2,734 is your answer.

Answer:

They have 69 cookies left.

Step-by-step explanation:

7 x 14 = 98

98 - 29 = 69

Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

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Answer:

they can by 4

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Look at the image I attached for reference as I explain. (I only labeled the angles that are relevant to the problem)

These triangles are congruent, as shown by the first equation.

When triangles are congruent, it means that the sides and angles are the same.

We can see that angles ∠ABC and ∠DEC are corresponding, which means that they have the same value.

We don't know ∠DEC, but we have two angles in that triangle that we do know. Since the angles in a triangle add up to 180, we have this equation:

180-65-55=∠DEC

60 = ∠DEC

So now we know that ∠DEC is 60 degrees.

Since ∠ABC and ∠DEC are equal:

2x=60.

Divide both sides by 2, and we get x =30.

Answer:

m<3 = 97

m<10 = 97

m<9 = 83

m<5 = 97

m<7 = 83

m<16 = 97

Step-by-step explanation:

m<3 = m<2 because of vertical angles

m<10 = m<2 because of corresponding angles

m<9 + 97 = 180

m<9 = 83

m<5 + 83 = 180

m<5 = 97

m<7 = m<6 because of vertical angles

m<16 = m<5 because of alternate exterior angles.

True, (x-2) is a factor of the polynomial 4x^2-6x-4. Option A is correct.

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

Given equation;

[tex]\rm 4x^2-6x-4[/tex]

The factors of the given equation:

2(2x+1)(x−2)

True, (x-2) is a factor of the polynomial 4x^2-6x-4.

Hence option A is correct.

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Answer:

Part A 1 1/4 x 3 =3 3/4

1 1/2 x 8 = 12

1 3/4 x 4 = 7

2 1/2 x 6 = 15

Part B D.37 3/4

Step-by-step explanation:

Hopes this helps!

The total length of rope that is brought on the trip would be the mixed fraction of 37 3/4.

A fraction represents a part of a number or any number of equal parts.

There are different types of fractions such as proper, mixed, and improper fractions.

Part A

Multiply each length of rope in the table below by its frequency.

We get,

1 1/4 x 3 =3 3/4

1 1/2 x 8 = 12

1 3/4 x 4 = 7

2 1/2 x 6 = 15

Part B

The total length of rope that is brought on the trip

= 3 3/4 + 12 + 7 + 15

= 37 3/4

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Answer:

Here we want to solve the equation:

[tex]11^3\sqrt{x-12} = 66[/tex]

First, we can divide both sides by 11^3 to get:

[tex](11^3\sqrt{x-12})/11^3 = 66/11^3[/tex]

[tex]\sqrt{x - 2} = 66/11^3[/tex]

Now remember that:

(√x)^2 = √(x^2) = x

then if we apply this to our equation we get:

[tex](\sqrt{x - 2})^2 = (66/11^3)^2[/tex]

now we need to solve:

[tex]x - 2 = (66/11^3)^2\\x = (66/11^3)^2 + 2 = 2.002[/tex]

Then x = 2.002

Answer:

the answer to this is D) 61.2

The values less than 4 or greater than 14 cannot be the length of the third side

From the question, we have the following parameters that can be used in our computation:

Side lengths of 9 and 5.

Represent the third length of the triangle with x

So, we have the following representation (using the triangle inequality theorem)

a + b ≥ c.

Substitute the known values in the above equation, so, we have the following representation

9 + 5 ≥ x

9 + x ≥ 5

5 + x ≥ 9

Evaluate the sum

14 ≥ x

x ≥ -4

x ≥ 4

So, we have

14 ≥ x

x ≥ 4

Combine

4 ≤ x ≤ 14

This means that values less than 4 or greater than 14 cannot be the length of the third side

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The measure that  cannot be the length of the third side is 14. Option

An important rule to remember about triangles is called the third side rule:

Third side rule of triangles states that;

The length of the third side of a triangle is less than the sum of the lengths of the other two sides and greater than the (positive) difference of the lengths of the other two sides.

For this triangle, the length of the third side must be greater than

9- 5= 4

Also, the length of the third side must be less than

9 + 5 = 14

Hence,  all the answers are possible except for answer D, which is equal to 14 but not less than 14.

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The Complete question is added as:

A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *

a. 4

b. 5

c. 11

d. 14

Answer:

5 meters per minute

Step-by-step explanation:

300/60 = 5 meters per minute

Answer:

-72p6x

Step-by-step explanation:

From my previous answer to a question similar

The number of trees are multiplied by 3 each week.

Answer:

Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un

sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal. Una solución de un sistema es una asignación de valores para las incógnitas que hace

verdadera cada una de las ecuaciones. Resolver un sistema signifi ca hallar todas las soluciones del sistema.

Step-by-step explanation:

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In the field of astronomy, the ability to measure angles accurately and precisely enables us to calculate the position and relative movement of the stars and galaxies in relation to each other, to determine how far distant they are from us, and even to estimate their relative size.

Answer:

10 times

Step-by-step explanation:

can i get brainly

If we go through it logically, it is only 1 time.

Step-by-step explanation:

Hope this helps

Answer:

4 in first number is in tenth place, so its 40

4 in second number is in unit place, its 4 only

Answer:

9

Keep the value of k as 9 then multiply it with the numbers in the brackets and then arrange the like terms and see yourself.

Answer:

lol what

Step-by-step explanation:

Answer:

:)

Step-by-step explanation: