You have $1000 in a savings account and the compound interest rate is 5% per year. After 5 years, how much money approximately do you have in the savings account if you left the money to grow? A) $1000 B) $1215 C) $1250 D) $1275

Answer:

80

Step-by-step explanation:

First recall that:

1 inch=12 feet

The volume of cube-shaped boxes with 12-inch edges is 1 cm³

The volume of a box that is 4

feet tall, 4 feet long, and 5 feet wide is

given by:

[tex]Volume = lwh[/tex]

We substitute l=4ft, w=5ft and h=4ft

To obtain:

[tex]Volume = 4 \times 4 \times 5 = 80 {ft}^{3} [/tex]

Therefore 80 cube-shaped boxes with 12-inch edges can fit into a box that is 4

feet tall, 4 feet long, and 5 feet wide.

Answer:

It would be a 70%

Step-by-step explanation:

Convert fraction (ratio) 42 / 60 Answer: 70%

Answer:

I think 24% percent?????

Answer:

[tex]x\geq -\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]-8x+5\leq 11\\\\1. -8x\leq 11-5\\ -8x\leq 6[/tex]

Isolate the parts of the equation with the x variable

[tex]2. \frac{-8}{-8} x\geq\frac{6}{-8} \\x\geq -\frac{3}{4}[/tex]

When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.

Hello there!

Im assuming you're solving for X!

Answer:

Your answer in Inequality Form comes to:

x > -3/4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.  

Answer:

78

Step-by-step explanation:

you multiply

Answer:

15x^9+12x^4

b is the answer

Answer:

Step-by-step explanation:

Given, Gilberto's grandfather gives him $5 for his birthday and then$0.50 for each math he answers correctly on his math exam for the year.

Let , the number of math that he answers correctly on his his math exam for the year is x

Therefore he got = $(0.50× x) =$ 0.50x for doing correct math.

Therefore total amount of money that he got is = $(5+0.50x)   [ x = number of correct math]

Answer:

256[tex]x^{4}[/tex] - 2

Step-by-step explanation:

To evaluate (g ￮ f )(x), substitute x = f(x) into g(x)

g(4x) = [tex](4x)^{4}[/tex] - 2 = 256[tex]x^{4}[/tex] - 2

Answer:

6 meters

Step-by-step explanation:

length= 6+x

width= x

x (x+6)= 72⇔ [tex]x^{2}[/tex] + 6x - 72= 0⇔ x= (-6 ±[tex]\sqrt{6^{2} -4 *1*(-72) }[/tex]) / 2*1⇔

⇔ x= (-6±√324)/2 ⇔ x= (-6±18)/2 ⇔ x= 6 ∨ x= -12

Since the width of a rectangle can't be negative, the answer will be 6 meters.

Answer:

%16

Step-by-step explanation:

Step 1:  Find the shots missed

25 - 17 = 8

Step 2:  Find half of the shots missed

8 / 2 = 4

Step 3:  Divide 4 by 25

4/25 = 0.16

Step 4:  Convert to Percent

0.16 * 100 = %16

Answer:  %16

Answer:

2)  m∠CBD = 60         3) x=15; 95 and 85     4) 12 = x; 98 for both angles

Step-by-step explanation:

2)  2x + 14 + x + 7 = 90       The angles add up to 90 degrees

    3x + 21 = 90                   Combine like terms

          - 21  - 21                    Subtract 21 from both sides

    3x = 69                           Divide both sides by 3

     x = 23

Plug 23 in the equation

2(23) + 14

46 + 14

60

3)  2x + 65 + 3x + 40 = 180       The angles add up to 180 degrees

    5x + 105 = 180                      Combine like terms

          - 105  - 105                      Subtract 105 from both sides

5x = 75                                       Divide both sides by 5

x = 15

Plug in 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4) 5x + 38 = 9x - 10

  - 5x         - 5x                 Subtract 5x from both sides

38 = 4x - 10

+ 10       + 10                      Add 10 to both sides

48 = 4x                              Divide both sides by 4

12 = x

Plug in 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

Answer:

c

Step-by-step explanation:

The situation described where the number of miles a car can run depends on the gallons of gasoline in the tank is a relation that is a function. Because for each amount of gas, there is one corresponding maximum distance the car can travel.

The situation described illustrates a relation that is a function. In this case, the amount of gasoline (in gallons) in the car's tank is the input or the independent variable (the domain), and the distance the vehicle can travel (the output or dependent variable) is a function of this input. For each amount of gasoline, there is only one corresponding maximum distance the car can travel, so this is a function. Thus, the best answer is B. A relation that is a function.

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Answer:

The answer is: 5/20 or a 25% chance

The probability that the pet store owner randomly selects a grey mouse for the window display is 0.25 or 25%.

The question asks for the probability of selecting a grey mouse from a pet store that has a total of 20 mice consisting of 11 white, 5 grey, and 4 brown mice. To find the probability, we use the ratio of the number of grey mice to the total number of mice.

The formula for probability is:

Probability (P) = Number of favorable outcomes / Total number of outcomes

We apply the formula as follows:

P(grey mouse) = Number of grey mice / Total number of mice = 5 / 20 = 0.25 or 25%

Therefore, the probability that the pet store owner selects a grey mouse for the window display is 25%.

Answer:

3x - 6 < 18

3x < 24

x < 8

answer is a

Option B: [tex]11,304 \mathrm{mm} ^2[/tex] is the area of the compact disc.

Explanation:

The diameter of the compact disc is [tex]120mm[/tex].

To determine the area of the compact disc, let us substitute the values in the area of the circle formula,

[tex]A=\pi r^2[/tex] where [tex]r=\frac{d}{2}[/tex]

Substituting the value of d in [tex]r=\frac{d}{2}[/tex], we get,

[tex]r=\frac{120}{2} =60[/tex]

Thus, [tex]r=60[/tex] and [tex]\pi=3.14[/tex]. Let us substitute these values in [tex]A=\pi r^2[/tex], we get,

[tex]A=3.14\times(60)^2[/tex]

Simplifying, we have,

[tex]A=3.14\times3600[/tex]

Multiplying, we get,

[tex]A=11304mm^2[/tex]

Thus, the area of the compact disc is [tex]11,304 \mathrm{mm} ^2[/tex]

Hence, Option B is the correct answer.

13.33.

We have, 150% × x = 20

or,

150

100

× x = 20

Multiplying both sides by 100 and dividing both sides by 150,

we have x = 20 ×

100

150

x = 13.33

If you are using a calculator, simply enter 20×100÷150, which will give you the answer.

Oi, give flamenco brainliest.

Answer:

(1 + 3x).

Step-by-step explanation:

We have to evaluate the missing term within the brackets in the following equation.

The equation is, 5 + 15x = 5(?)

Now, 5 + 15x

= 5 × 1 + 5 × 3x {We have to factorize the term where 5 is a factor}

= 5(1 + 3x) {This is reverse of the distributive property of multiplication}

Therefore, the missing term within the brackets is (1 + 3x). (Answer)

Answer: 216/343 or 0.6297

Step-by-step explanation:

[tex]14-14x^{1/3} = 2\\14 -2 = 14x^{1/3}\\12 = 14x^{1/3}\\\frac{12}{14} =x^{1/3}\\\frac{6}{7} =x^{1/3}\\(\frac{6}{7})^3 =(x^{1/3})^3\\\frac{6^3}{7^3} =x\\\\\frac{216}{343} = 0.629737609 = x[/tex]

Answer:1

Step-by-step explanation:

3 full parts out of 3 is 1

Answer:

1

Step-by-step explanation:

Any number over itself always simplifies to 1

Answer:

She increased 80% the practise time

Step-by-step explanation:

The question is incomplete, the following is missing:

by how much did she increase the time she practised each day?

From Monday to Wednesday she increased 90 - 50 = 40 minutes  the practise time.

To compute the increment as a percentage use: increment/reference *100

In this case, that is: 40/50*100 = 80%, where 50 minutes is taken as a reference.

Answer: increased by 40

she increased by 80%

Step-by-step explanation:

Answer: y=- 1/3x

Step-by-step explanation:

The function to represent the growth of the bacteria overtime in your science experiment is:

[tex]y = 70(3^x)[/tex]

Solution:

Given that,

Suppose you are performing an experiment in science class in which you start with 70 bacteria and the amount of bacteria triples every hour

Let,

y is the number of bacteria at time x

x is the number of hour(time)

As per the given information,

You start your experiment with 70 bacteria,and the bacteria triples in every hour

Therefore,

At end of 1 hour,

y = 70 x 3 = 210

At the end of 2 hours,

[tex]y = 210 \times 3 = 630\\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^2 = 70 \times 9 = 630[/tex]

At the end of 3 hours,

[tex]y = 630 \times 3 =1890 \\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^3 = 70 \times 27 = 1890[/tex]

Thus at end of "x" hours we will have,

[tex]y = 70 \times 3^x\\\\y = 70(3^x)[/tex]

Thus the function to represent the growth of the bacteria overtime in your science experiment

Answer:

1. 3/4

2. 54%

3. Both equal

4. Both equal

Step-by-step explanation:

Answer:

1.) 3/4

2.)0.54

3.) Both

4.) 2/3

Answer:

Pythagoras’ theorem  is a way to find a side or hypothesis when you have 2 sides.  

The formula is:  a^2 + b^2 = c^2

a and b are sides

c is the hypothesis

Ex:  A triangle has a leg that is 5 inches and a leg that is 7 inches.  Find the hypothesis using Pythagoras' theorem.  

A leg is another way of saying a side.

5^2 + 7^2 = c^2

25 + 49 = x^2

sqrt(74) = sqrt(x^2)

sqrt(74) inches = hypothesis

Ex:  A triangle has a leg that is 9 feet and a hypothesis that is 25 feet.  Find the other leg using Pythagoras' theorem.

9^2 + b^2 = 25^2

81 + b^2 - 81 = 625 - 81

sqrt(b^2) = sqrt(544)

b = sqrt(554)

Do you understand more?

The value of X is 11.

Step-by-step explanation:

Given,

Equating eq(1) and (2),

⇒ 3X+5 = 38

⇒ 3X = 38-5

⇒ X = 33/3

⇒ X = 11

64 inches

Step-by-step explanation:

12 inches equals 1 foot so

12*5=60 inches which means it will be bigger than 5 feet.

Answer:

two dollars and fourteen cents

Step-by-step explanation:

Answer:two point fourteen

Step-by-step explanation:

49 pieces of string can be cut from a ball of string that has 100 feet

Solution:

Given that, Carle is cutting pieces of string that are exactly 24 3/8 inches long

Therefore,

[tex]Length\ of\ each\ string = 24\frac{3}{8}\ inches = \frac{8 \times 24 + 3}{8} = \frac{195}{8}\ inches[/tex]

How many pieces can she cut from a ball of string that has 100 feet

Total length of string = 100 feet

Convert feet to inches

1 feet = 12 inch

100 feet = 1200 inch

Therefore, number of pieces that can be cut is given as:

[tex]\text{Number of pieces } = \frac{\text{total length of string}}{\text{length of each string}}[/tex]

Substituting the values we get,

[tex]\text{Number of pieces } = \frac{1200}{\frac{195}{8}}\\\\\text{Number of pieces } = 1200 \times \frac{8}{195}\\\\\text{Number of pieces } = 49.2307 \approx 49[/tex]

Therefore, 49 pieces of string can be cut from a ball of string that has 100 feet

Correct statements are:

If it is reflected across the y-axis, its length still will be 12 units.

If it is rotated 270° about the origin, its length still will be 12 units.

If it is translated 15 units up, its length still will be 12 units.

Step-by-step explanation:

Whatever it may be rotation, reflection or translation, the size of the line will never change. So length of the line is same as 12 units in the image.

So the wrong statements are

If its reflected across y = -x then the length will no longer be 12 units.

If it is rotated 90° about the origin, then the length will no longer be 12 units.

If it is translated 18 units to the right,  then the length will no longer be 12 units.

You can use the fact that reflection, rotation or translation, all three are not modifying the line itself and only its position can change. Whatever be the position, if the line segment itself isn't modified, the length will be same.

Thus, the correct choices are:

Rest of the choices are wrong since they blame reflection or rotation or translation to modify the length of that line segment.

Suppose you've got a baseball stick. Will it's length change when you take it somewhere else like from your home to playground? No. Will its length change if you hold it upside down? No.

This is the same case with line segment being rotated, reflected, or translated. All these processes do not change the line segment's length and can just move that line segment from one position to other.

Since reflection, rotation, or translation won't affect the length of the line segment,.

Thus, the correct choices are:

Rest of the choices are wrong since they blame reflection or rotation or translation to modify the length of that line segment.

Learn more about reflection, rotation and translation of line segment here:

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Answer:

The correct option is C.) half the measure 62°

Step-by-step explanation:

i) Intercepted arc measures 124°

ii) The measure of the inscribed angle will be half of the intercepted arc

  therefore inscribed angle  = 124° / 2 = 62°

iii) Therefore the correct option is C.) half the measure 62°

The measure of an angle inscribed in a circle is half the measure of its intercepted arc. Therefore, if the intercepted arc is 124°, the inscribed angle would be 62°.

This problem is related to the relationship between arcs and inscribed angles in circles. In geometry, there's a specific rule that states: the measure of an angle inscribed in a circle is half the measure of its intercepted arc.

Therefore, if the intercepted arc measures 124°, its inscribed angle would have half the measure, or 62°. If the inscribed angle were to have the same measure, it would imply that the arc measure was double the angle, which is not the case here.

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