Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

Answer:

42

Step-by-step explanation:

46-4=42

Answer:

son is 14

Step-by-step explanation:

s = son's age

46 = 4 + 3s

42 = 3s

s = 14

Answer:

m<D = 26

Step-by-step explanation:

<D = x

x + 122 + 32 = 180

x + 154 = 180

x = 180 - 154

x = 26

Answer:

Step-by-step explanation:

<D + 122° + 32° = 180° ( being sum of angles of triangle )

< D = 180° - 154°

< D = 26°

Answer:

(6 , 9)

Step-by-step explanation:

Answer:

39%

Step-by-step explanation:

83-last price

83 last price

100 x ?

100 * last price = 83 . x

x= 39

Answer:

Step-by-step explanation:

1) 10:18=5:9

2) 15:21=5:7

3) 10:100=20:200

4) 12:28=3:7

5) 48:54=8:9

6) 36:75=12:25

7) 56:120=3.733:8

8) 18:24=6:8

9) 2:4=1:2

10) 45:60=15:20

11) 45:65=9:13

12) 180:210=30:35

13) 63:72=7:8

14) 48:72=4:6

15) 60:100=6:10

16) 36:108=6:18

17) 3:9=1:3

18) 72:180=8:20

19) 81:126=9:14

20) 22:33=2:3

Answer:

1. 15 :21=5:7

2. 10:100=20:200

3. 12:28=3:7

4. 48:54=8:9

5. 36:75=12:25

6. 56:120=3.73..:8

7. 2:4=1:2

8. 45:60=15:20

9. 45:65=9:13

10. 180:210=30:35

11. 63:72=7:8

12. 48:72=4:6

13. 60:100=6:10

14. 36:108=6:18

15. 3:9=1:3

16. 72:180=8:20

17. 81:126=9:14

18. 22:33=2:3

Answer:

34

Step-by-step explanation:

Answer:

the value of x=69 ft approx.

Answer:

[tex]\Large \boxed{\sf 69.02 \ ft}[/tex]

Step-by-step explanation:

Solve for w  using Pythagorean Theorem

[tex]\displaystyle w=\sqrt{77^2-22^2} =33\sqrt{5}[/tex]

Solve for z  using Pythagorean Theorem

[tex]\displaystyle z=\sqrt{(87.5)^2-(33\sqrt{5} )^2} = 47.02[/tex]

Find value of x

[tex]x=VY+YK[/tex]

[tex]22+47.02=69.02[/tex]

Answer:

2x 2 x 2 x 2= 8 + 1 = 9?

Step-by-step explanation:

The solution of the equation 2x + 1 = 9 will be 4.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation is given below.

2x + 1 = 9

Simplify the equation, then we have

2x + 1 = 1

2x = 9 - 1

2x = 8

x = 8 / 2

x = 4

The solution of the equation 2x + 1 = 9 will be 4.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Step-by-step explanation:

hope this helps. if you have any questions don't hesitate to ask :))

Answer:

m = 5

Step-by-step explanation:

Given

2(m + 1) = 3(m - 1) ← distribute parenthesis on both sides

2m + 2 = 3m - 3 ( subtract 2m from both sides )

2 = m - 3 ( add 3 to both sides )

5 = m

Answer:

6.5 cm

Step-by-step explanation:

0.5/0.25 = 2

13/2 = 6.5

Question:

A shop is having a sales all items are reduced by 25%. Work out the sale price of an item normally priced at £60?

Answer:

The new price is £45

Step-by-step explanation:

Given

[tex]Sales\ price = \pounds 60[/tex]

[tex]Rate = 25\%[/tex]

First, calculate the reduction

[tex]Reduction = Rate * Sales\ price[/tex]

[tex]Reduction = 25\% * \pounds 60[/tex]

[tex]Reduction = \pounds 15[/tex]

The new price is:

[tex]New = Sales\ price - Reduction[/tex]

[tex]New = \pounds 60 - \pounds 15[/tex]

[tex]New = \pounds 45[/tex]

Answer: 18

Step-by-step explanation: 3 + 10 = 13. 3 + 2 = 5. 13 + 5 = 18

Answer:

Step-by-step explanation:

3x + 10 + 3x + 2      add the like terms

(3x + 3x) + (10 + 2)

6x + 12     <--------------------  Final

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

Answer:

4

Step-by-step explanation:

hope the diagram helps haha

Answer: 3

Step-by-step explanation:

Answer:

the answer is 3

Step-by-step explanation:

Simplifying

4(x + 2) = 28

Reorder the terms:

4(2 + x) = 28

(2 * 4 + x * 4) = 28

(8 + 4x) = 28

Solving

8 + 4x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 4x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 4x = 28 + -8

4x = 28 + -8

Combine like terms: 28 + -8 = 20

4x = 20

Divide each side by '4'.

x = 5

Simplifying

x = 5

Simplifying

2(x + 4) = 28

Reorder the terms:

2(4 + x) = 28

(4 * 2 + x * 2) = 28

(8 + 2x) = 28

Solving

8 + 2x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 28 + -8

2x = 28 + -8

Combine like terms: 28 + -8 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

Answer:

Sarah bought 7 coach tickets and 4 first class tickets.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=11 (1)

240x+1100y=6080 (2), where:

x is the number of coach tickets

y is the number of first class tickets

In order to find the value of x and y, first you have to solve for x in (1):

x=11-y (3)

Now, you have to replace (3) in (2) and solve for y:

240(11-y)+1100y=6080

2640-240y+1100y=6080

860y=6080-2640

860y=3440

y=3440/860

y=4

Finally, you can replace the value of y in (3) to find the value of x:

x=11-y

x=11-4

x=7

According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.

Answer:  The y-intercept would be -2

Step-by-step explanation:  To find a y-intercept you just need to find the point at which the line crosses the y axis (which is the vertical one.)  We know its -2 also because of the unit amount of the graph itself.  The 5 at the top of the y axis is at the 5th box which means that each vertical unit represents 1.  This is how I know my answer is correct.  I hope this answer has been of use to you and if you have further questions please do not hesitate to reach out :)

Answer:

Angle 1

Step-by-step explanation:

corresponding angles are angles that are congruent and on the same side if that makes sense

Look at image for reference

Answer:

y=3/2x+2

Step-by-step explanation:

i hope this helps :)

Answer:

10

Step-by-step explanation:

I'm stuck on that question too but I would say 10

Answer:

The answer is 10 :))

Step-by-step explanation:

Answer:

x=54

Step-by-step explanation:

55+54= 109

180-109=71

x+17=71

=54

Answer:

The correct answers are:

A. The Vertical axis should be labelled as the Number of Jars for Each Flavour

B. an interval of 7 could be appropriate

Step-by-step explanation:

A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.

B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.

Answer:

Step-by-step explanation:

Number of animals after 5 years:

Answer:

x=0

Step-by-step explanation:

ima break it apart so it is easier to understand, going from left to right.

15(x-3)/5 you will distribute the 15 to the x and the -3

15x-45/5 you will divide 5 to both the 15x and the 45

3x-9 it will now be combined with the right side

now on the right side:

3(2x-3) you will distribute the 3 to the 2x and -3

6x-9 will now be combined with the left side

combining the left and right.

3x-9=6x-9 combine both 'x' es and constants

3x-6x=9-9 solve

-3x=0 divide

-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)

x=0

without distributive property

15(x-3)/5=3(2x-3) remove the parenthesis from the left side

3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides

3x-9=6x-9 the rest is the same as in the combined section up above.

i hope this helps

The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is given by

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

By using the distributive property , we get

On opening the bracket , we get

( 15x - 45 ) / 5 = 6x - 9

Divide by 5 on LHS , we get

3x - 9 = 6x - 9

Subtracting 6x on both sides of the equation , we get

-3x - 9 = - 9

Adding 9 on both sides , we get

-3x = 0

x = 0

Now , without using distributive property , we get

The equation is

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

Divide by 5 on both sides , we get

3 ( x - 3 ) = 3 ( 2x - 3 )

Divide by 3 on both sides , we get

x - 3 = 2x - 3

Adding 3 on both sides of the equation , we get

x = 2x

Subtracting x on both sides , we get

x = 0

Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

20

Step-by-step explanation: