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$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously.

We need to find the amount in the account after 3 years.

[tex]A=Pe^r^t[/tex]

where A is the amount of money after t years,

P is the principal amount

r is the annual interest rate

P = $14,000, r = 0.04 and t=3

[tex]A = 14000e^(^0^.^0^4^3)[/tex]

A = 15,784

Hence, $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.

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Answer:

because 75 is a larger number

Step-by-step explanation:

eg. 1% of 100 is 1, but 1% of 50 is 0.5

Answer:

24 mm squared

Step-by-step explanation:

3 x 4 x 1/2 = area of the triangle

4 x 3 = area of the rectangular top left

1 x 6 = area of the bottom rectangle

3 x 4 = 12 x 1/2 = 6

4 x 3 = 12

6 x 1 = 6

6 + 12 + 6 =24

Answer:937.5

Step-by-step explanation:if your dividing this is the answer

Answer:

888sq. ft

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

For the given diagram

area of the truck = area of the bigger + area of smaller prism

area of the bigger prism = 6 * 9 * 16

area of the bigger prism = 864sq. ft

Area of smaller prism = 2 * 2 * 6

Area of smaller prism = 24 sq. ft

Area of the figure = 864 + 24

Area of the figure = 888sq. ft

Answer:

option D

Step-by-step explanation:

Took the test

Answer: the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 (option D)

Step-by-step explanation: I took the test and got it right :)

Answer:

2.75

Step-by-step explanation:

use a calculator

Hope this helps! :)

Answer:

a

Step-by-step explanation:

The diameter of the new ball, to the nearest tenth of a centimeter, is 11.0cm

We have given that,

The surface area of a regulation spherical soccer ball is about 484π

square centimeters. If the diameter of the regulation ball is reduced by 50% to produce a new ball.

We have to determine,

The diameter of the new ball, to the nearest tenth of a centimeter.

The volume of a sphere = 4/3 × πr^3.

Therefore we get,

[tex]\frac{484}{50}= 11.0[/tex]

Therefore we get the diameter of the new ball, to the nearest tenth of a centimeter is 11.0cm.

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6.∠ADB = ∠BDC reason :(CPCTC)

7.BD bisects ∠ADC reason :(From statement 6)

Hope it helps you......

Answer:

D

Step-by-step explanation:

According to the associative property of addition, you can put the parentheses anywhere you like. This is the only one that works.

the answer to 12 divided by 50 calculated using Long Division is:

0

12 Remainder

Answer:

x = [tex]\frac{6}{25}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12}{x}[/tex] = 50 ( multiply both sides by x )

12 = 50x ( divide both sides by 50 )

[tex]\frac{12}{50}[/tex] = x , that is

x = [tex]\frac{6}{25}[/tex]

Answer:

In the number line it should be between 1.2 and 3.4

intervals of 0.2

for e.g: 3.4 3.2 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2  

Step-by-step explanation:

Assume chicken to be x

1.2 [tex]\leq[/tex] x < 3.4

Inequality shows a relationship between two numbers or two expressions.

The inequality to describe the chicken that can be sold only when the chicken weighs between 1.2 kg to 3.4 kg is

1.2 ≤ x ≤ 3.4

Where x is the number of chicken.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

Example:

2 < 3

3x > 2x

3x + 4 > 4x

We have,

Number of chickens that can be sold = x

Chicken is sold only if the chicken weighs between 1.2 kg and 3.4 kg.

This can be represented by inequality as,

1.2 ≤ x ≤ 3.4

Thus,

The inequality to describe the chicken that can be sold only when the chicken weighs between 1.2 kg to 3.4 kg is

1.2 ≤ x ≤ 3.4

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The solutions are the points that belong to the line, these are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.

Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.

Then, from the given points the ones that are on the graphed line are:

(-6, -4)

(-2, 2)

(-1, 0)

(2, 6)

All these points are on the line, thus, are solutions.

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Answer:

9. Correct 12. Incorrect, it's D

Step-by-step explanation:

9. There is a 1:2 ratio of blue to red paint to create the shade of purple, so 6:12 would follow the 1:2 ratio so it's correct.

12. 6:14 can be simplified to 3:7 ratio. 8:16 doesn't follow 3:7 (it follows 1:2) so it can't be the right answer. 12:28 follows the ratio so it's right.

Answer:

34.9

Step-by-step explanation:

Because if you multiply then divide by 2 that will help you alot.

Answer:

1/14

Step-by-step explanation:

According to SOH CAH TOA;

Cos theta = adjacent/hypotenuse

Since theta = <J

Adjacent = 2

Hypotenuse = 28

Cos <J = adj/hyp

Cos<J = 2/28

Cos<J = 1/14

Hence the value of cosine J is 1/14

Answer:

What?

Step-by-step explanation:

What are you asking lol

Answer:

13.5

Step-by-step explanation:

10% of 15 is 1.5

15-1.5=13.5

Answer:

rent and savings account for more than 50% of the budget

Step-by-step explanation:

Answer:

The rent and savings account for more than 50% of the budget

Step-by-step explanation:

It's easy to get confused for this answer because rent and savings ($900 + $600) is 50% of their savings, but it says more. The way to show your work is basically just going through all the answer choices, adding them together, and then multiplying the percentage.

900+600=1500

3000x0.50=1500

That is exactly 50% but not more

Hope this helps!

Answer:

Hello love the answer would be 2/10 or reduced 1/5

Answer:

A. 1/5

B. There is a 1/5 probability the spinner will land on green

Step-by-step explanation:

A. 2/10 simplified

B. I just put it into words

Answer:

8

Step-by-step explanation:

Yes

Answer:89

Step-by-step explanation:

Multiply 27 by 3, then add 8 to your answer and you get 89

Answer:

For the 1st one: 63

For the second one: 99

Step-by-step explanation:

This is because to find the perimeter, you have to do length+length+width+width=area

So you do 77+77+x+x=280, this should get you x=63

For the second one, to find area you do length×width=area

So you do 59×x=5841 and should get 99.

Answer:

1. x= -7

2. y= -3.5

Step-by-step explanation:

Answer:

It depends on the size of the box

Step-by-step explanation:

Since the dimensions of the box are not included you can't answer the question

Answer:

Step-by-step explanation:

plug the equations into Desmos

as attached

y = -3x-6

x + 3y = 6

3y = -x +6

y = -1/3x +2

-3x-6 = -1/3x +2

-8/3x = 8

x = - 3

y=-3(-3)-6

y = 9-6

y = 3

Answer:

x = b-a/2

Step-by-step explanation:

2x + a = b

2x = b-a

x = b-a/2

Answer:

g.  9−7+{−2+3−[4−2+(3+2)−7]+8} = 11

h. – {- [ (14 - 7) - (32 - 41)]} = +  16

i. – [(-8 + 3) + (- 21 – 12)] = + 38

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506

k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21

Step-by-step explanation:

These questions are solved by solving the small brackets, then square brackets and then the curly brackets.

g.  9−7+{−2+3−[4−2+(3+2)−7]+8}

=  9−7+{−2+3−[4−2+(5)−7]+8}     Solving inner  small brackets

= 9−7+{−2+3−[9−2−7]+8}            Solving outer square brackets

= 9−7+{−2+3−0 +8}                     Solving curly brackets

=9−7+{9}                        Adding like terms ( adding positive terms)

= 18-7

= 11

h. – {- [ (14 - 7) - (32 - 41)]}

= – {- [ (14 - 7) - (-9)]}                  Solving inner  small brackets

= – {- [ (7) +9]}                           Solving inner  small brackets

= – {- [ 16 ]}                              Solving outer square brackets

= – {-  16 }                                 Solving curly brackets

= +  16                                      (-*-= +)

i. – [(-8 + 3) + (- 21 – 12)]

= – [(-8 + 3) + (- 33)]            Solving inner  small brackets

= – [(-5 - 33)]                      Solving inner  small brackets

=– [( - 38 )]                              Solving outer square brackets

= + 38                                        (-*-= +)

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }

= 500 – {( 6 + 4 + 3 + 16  – 18 -10 – 2) – 5 }         Solving inner  small brackets

= 500 – {( 29  – 30) – 5 }                   Solving inner  small brackets

= 500 – {(  – 1) – 5 }               Solving inner  small brackets

= 500 – { – 6}                                Solving curly brackets

= 500  + 6                                        (-*-= +)

= 506

k. (9 + 7 – 2 + 4) – ( 9 -12 )

= (9 + 7 + 4– 2 ) – (  -3 )                        Solving inner  small brackets

= (20 – 2 ) – (  -3 )                                 Solving inner  small brackets

= (18 ) – (  -3 )                                           (-*-= +)

= 18   +3

=21

Given:

The figure of a right angle triangle with hypotenuse=19, leg=x and opposite angle is 40°.

To find:

The trigonometric function that is used to solve for x.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

In can be written as:

[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]

Using this ratio for the given triangle, we get

[tex]\sin 40^\circ =\dfrac{x}{19}[/tex]

Therefore, the correct option is C.