Rachel is calculating the interest earned on a deposit of $350 in an account that earns 6% simple interest after 15 years.
I= prt
I=350(6)(15)
I=31,500
Rachel calculates the interest earned to be $31,500 as shown in her work above. Find the correct amount of interest earned.

Answer:

9

Step-by-step explanation:

Answer:

the ship moved 4 coordinates away from the current position

Step-by-step explanation:

because 8-4 is 4

In the coordinate plane,

The ship moved 3 units right and 14 units up.

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given:

A coordinate plane is used to track the movement of a ship.

The ship moved from (8, - 4) to (11, 11) on the coordinate plane.

The translation:

(11, 11) → (11 - 8, 11 +4) = (3, 14)

That means,

The ship moved 3 units right and 14 units up.

Therefore, hip moved 3 units right and 14 units up.

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Answer:

9 x a x a x a x a x a x a

Step-by-step explanation:

[tex](3a^{3})^{2} = 9a^{6} \\[/tex]  Here, we use the law of indices. Everything inside the bracket has to be squared, so 3^2 = 9 and (a^3)^2 = a^6 We use the rule of when one power is within a bracket and one outside, we multiply the two powers together instead of adding.

3^2 can be simplified to 9 as this is simply 3 x 3, but a^6 (this is still a value with an exponent) cannot be simplified so we break this down into the notation of a x a x a x a x a x a

Therefore 9 x a x a x a x a x a x a is the answer.

I hope this helps you!! ^-^

The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given the expression,

(3a³)²

By the law of indices

(3a³)² = 3²(a³)²

(3a³)² = 9a⁶

But we cannot write it in exponent form

So,

9a⁶ = 9 × a x a x a x a x a x a.

Hence "The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a".

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Answer:

Perimeter = 82 units

Step-by-step explanation:

Find:

Perimeter

Computation:

Unknown height = 13 + x

So,

25² = x² + 24²

x = 7

So,

Unknown height = 13 + 7

Unknown height = 20 unit

Perimeter = 25 + 24 + 13 + 20

Perimeter = 82 units

Answer:

r = 8 ft

Step-by-step explanation:

Area of a circle => πr²

We are told in the question that:

The area of circle Z is 64Pi ft²

= 64π ft²

What is the value of r

We equate

πr² = 64 π

r² = 64 π/π

r² = 64

We square root both sides.

√r² = √64

r =>8 ft

The radius of the given circle Z is 8ft which was solved using the area of the circle

Data;

The formula of area of a circle is given as

[tex]A = \pi r^2[/tex]

Let's substitute the values and solve

[tex]A = 64\pi\\A = \pi r^2 \\64 \pi = \pi r^2\\[/tex]

divide through by π

[tex]64\pi = \pi r^2\\\\64 = r^2\\[/tex]

Let's take the square root of both sides

[tex]r^2 = 64\\r = \sqrt{64} \\r = 8ft[/tex]

The radius of the circle Z is 8ft

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Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

Answer:

Step-by-step explanation:

Fins the similar diagram attached;

The sum of the angles is 180 degree since they lie on the same straight line. Hence;

3x - 13 + x - 3 = 180

Collect the like terms;

3x+x -13 - 3 = 180

4x - 16 = 180

4x = 180 + 16

4x = 196

x = 196/4

x = 49

Hence the value of x is 49

Note that the values in question is different from that of diagram but the diagram is similar to what we need

Answer:

The answer is A) The car travels 53 mph(Miles Per Hours).

212/4 = 53

318/6 = 53

424/8 = 53

530/10 = 53

Step-by-step explanation:

Answer:

B)  rate of change is 53, your car travels 53 miles every 1 hour .

Step-by-step explanation:

Given : Table for time and distance.

To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Solution : We have given that Table for time and distance.

rate  of  change= .

rate  of  change= .

rate of change =  53.

rate  of  change= .

rate of change =  53

rate of change =  .

rate of change =  53.

rate of change =    .

rate of change =  53.

Therefore, B)  rate of change is 53, your car travels 53 miles every 1 hour .

Answer: A

Step-by-step explanation:

Step-by-step explanation:

Yes

yes

yes

no

hope this helps

Answer:

1/1

it would be rise over run (rise/run) where the line rises 1 and runs 1. good luck. the answer could just be 1.

Answer:

-they all require the same amount of card board because if you take all of the numbers times eachother they all come out as 16

-Soo 16 inches by 1 inch by 1 inch

Step-by-step explanation: Hope this help :D

Answer:

No Solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Complete question is;

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?

Answer:

0.14 or 14%

Step-by-step explanation:

We are told that the probability that the comic book readers prefers comics published by company A is 25%.

Thus; P(A) = 25% = 0.25

Also, we are told that the probability that comic book reader is male 70%.

Thus; P(M_r) = 70% = 0.7

We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.

Thus; P(A|M_r) = 40% = 0.4

To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.

Thus;

P(M_r|A) = [P(A|M_r) × P(A)]/P(M)

P(M_r|A) = (0.4 × 0.25)/0.7

P(M_r|A) ≈ 0.14

Answer:

(-2) and 3

Step-by-step explanation:

Answer:

f=-2, f=3, f=-4, they are all smaller than 4!!!

Answer: Only nine.

Step-by-step explanation: Nine squared is three.  Have a blessed day.

Acceleration is 2.......

Answer:

0

Step-by-step explanation:

zero divided by anything that is integral is zero and 3 in a integer

0

Answer:

0

Step-by-step explanation:

Answer:3m-5n

Step-by-step explanation:

Answer:

Area of semi-circle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Perimeter of semi-circle = [tex]\pi r + 2r[/tex]     where r is the radius

Step-by-step explanation:

Pi has been used in the construction of arches, bridges, churches and buildings.

Since the bridges and arches are semicircles, Pi helps in determining perimeter of the semicircle which in turn helps in calculating the amount of material required for construction.

Area of semi-circle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Perimeter of semi-circle = [tex]\pi r + 2r[/tex]     where r is the radius

Answer:

7x - 12 3/4

product of 7 and a number x: 7x

12 3/4 less than the... : - 12 3/4

Answer:

7x - 12 3/4

Step-by-step explanation:

Answer:

x = 7[tex]\sqrt{2}[/tex] and y = 7

Step-by-step explanation:

Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex]  so x = 7[tex]\sqrt{2}[/tex]

The values of [tex]x[/tex] and [tex]y[/tex] are required.

The required values are

[tex]x=9.9\ \text{units}[/tex]

[tex]y=7\ \text{units}[/tex]

The given triangle is a right angled triangle.

Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]

The sum of the angles is [tex]180^{\circ}[/tex]

The missing angle is

[tex]180-(90+45)=45^{\circ}[/tex]

Since, the two angles are equal the side opposite the angles will also be equal.

So,

[tex]y=7[/tex]

Applying the Pythagoras theorem.

[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]

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12.1 yd

12.14 yd; round and get 12.1 yd

To find total price multiply the cost of the item by 1 + tax rate.

25 x 1+6.75% = 25 x 1.0675 = 26.69

The total cost was $26.69

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation: