Assume you invest $5,000 in an account paying 8% interest compounded annually. How much money will be in the account after 5 years?

Answer:

Betty is 15.

Mike is 5.

Step-by-step explanation:

We can let Betty's age be b and Mike's age be m.

Since Betty's age is 3 times of Mike, then

[tex]b=3m[/tex]

In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.

Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].

We know that [tex]b=3m[/tex], so we can substitute that:

[tex]3m+5=2(m+5)[/tex]

Expand:

[tex]3m+5=2m+10[/tex]

Subtract 5 from both sides:

[tex]3m+5-5=2m+10-5[/tex]

[tex]3m=2m+5[/tex]

Subtract 2m from both sides:

[tex]3m-2m=2m+5-2m[/tex]

[tex]m=5[/tex].

Mike is 5 years old.

Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]

Answer:

The answer 4/7

Step-by-step explanation:

A K A H

4 letters in the word PRAKASH are made of 3 straight lines. That's why the fraction is 4/7.

In the word, 4/7 fraction of the letters is made up of 3 straight lines.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

In the word PRAKASH, there are 7 letters, In which 2 A's, 1 K, and 1 H is made up of 3 straight lines so (2 + 1 + 1) = 4.

∴ The fraction of the alphabet made up of three straight lines is,

= 4/7

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:

Check attached

Step-by-step explanation:

[] The first one you add

    () -8 + 9 = 1

    () -2/5 + 1/5 = -1/5

    () 1/1 = 5/5, 5/5 - 1/5 = 4/5

[] The second one you subtract, the + and - become a -

    () 9 - 5 = 4

    () 2/5 - 3/5 = -1/5

    () 4 - 1/5 = 3 4/5

    () 3 * 5 = 15, 15 + 4 = 19/5

[] The third one you add

    () 2 + 2 = 4

    () 1/5 + 2/5 = 3/5

    () 4* 5 = 20, 20 + 3 = 23/5

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

17

Step-by-step explanation:

it's sufficient to set x=7

g(7)=2×7+3=14+3=17

Answer:

g(7)=2.7+3=17

Answer:

Step-by-step explanation:

+3 - (+ 7) = 3 + (-7) = -4

Both integers have different sign. So, subtract and  the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)

The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.

According to the question:

In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.

Read more:

https://brainly.com/question/12520197

Answer:

Yes

Step-by-step explanation:

45 is divisible by 5 because 45 divided by 5 is 9

¯\_(ツ)_/¯

Answer:

not sure if u saw the comment but

7 and 8 are congruent, and 8 is congruent to 10

that maybe the rest of the answer

2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.

answer: 2:15

explaination :

Hello!

X*X*X=X times X times X = X³

Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵

Hope it helps you! :)

Let me know if you have any query or need further explanation. :)

~A determined gal

[tex]MagicalNature[/tex]

Answer:

Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.

Step-by-step explanation:

Answer:

It is the on below because I did an FLVS test and got it right

Step-by-step explanation:

It is fraction 1 over 3 throughout the line.

Answer: It’s C

Step-by-step explanation:

Answer:

y=2

x=-4

hope this helps!

Answer:

-2x=30y-6

2x+30y-6=0

Step-by-step explanation:

Answer:

x + 2

--------

49

Step-by-step explanation:

that's the answer

Answer:

Step-by-step explanation:

Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...

  (reward points) + (visit points)×(number of visits)

  30 +12.5v ≥ 125 . . . . . the inequality

__

  12.5v ≥ 95 . . . . . . . subtract 30

  v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality

Aaliyah will need to make 8 visits to earn her first free ticket.

Answer:

1. 3.22 x 10^-2

2. 2.822 x 10^-1

3. 3.402 x 10^-12

Step-by-step explanation:

1. 0.00000000023 x 140000000

= 2.3 x 10^-10 x 1.4 x 10^8

= 3.22 x 10^-2

2. 830000 x 0.00000034

= 8.3 x 10^5 x 3.4 x 10^-7

= 0.2822

= 2.822 x 10^-1

3. 0.00000042 x 0.0000081

= 4.2 x 10^-7 x 8.1 x 10^-6

= 3.402 x 10^-12

Answer:

1.15x - 0.7x

Step-by-step explanation:

You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.

Let the first no be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

First no=2

Second no=5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

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

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

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

https://brainly.com/question/545403

#SPJ2

ok done. Thank to me :>

Answer:

180

Step-by-step explanation:

Answer: D does not represent a function.

Step-by-step explanation: I hope this helps you out.

Answer:

805, 835, 865, 885

Step-by-step explanation:

divided into 20 parts

900-800=100

100/20=5

each part is 5

first one is 1 part away from 800

800+5=805

second one is 7 away from 800

800+7*5=835

third one is 7 away from 900

900-7*5=865

fourth one is 3 away from 900

900-3*5=885

Answer:

Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,

= 900 - 800

= 100

Finding the value of 1 vertical line.

➝ 1 line = 100

➝ 1 line = 100/20

➝ 1 line = 5

Hence, 1 line = 5

Finding part 1 :

➝ 800 + (1 × 5)

➝ 800 + 5

➝ 805

Finding part 7 :

➝ 800 + (7 × 5)

➝ 800 + 35

➝ 835

Finding part 13 :

➝ 800 + (13 × 5)

➝ 800 + 65

➝ 865

Finding part 17 :

➝ 800 + (17 × 5)

➝ 800 + 85

➝ 885

Hence, the answer is 805, 835, 865, 885.

Answer:

200 + 3x + 5x ≤ 720

(or simplified, 200 + 8x ≤ 720)

and x = 65

Step-by-step explanation:

x represents the number of rides

3 + 5 = 8

720-200 = 520

520/8 = 65

The inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality showed greater than and less than the relationship between variables and the numbers.

Given that the number of time operators of a popular amusement park ride spends loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes),

The inequality will be written as below,

200 + 3x + 5x ≤ 720

Here, x represents the number of rides

3 + 5 = 8

720-200 = 520

520/8 = 65

Therefore, the inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

the value of variable x is 55 answer ok . angle q is 35 p is 90

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term

Given the explicit formula

A(n) = - 1 + (n - 1)(- 2)

This is an arithmetic sequence with explicit formula

A(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

For the given explicit formula, then

a₁ = - 1 and d = - 2

The recursive formula is then

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1

Answer:

$20,300.88

Step-by-step explanation:

First Year : 75,000x(1-23%)

Second Year: 75,000x(1-23%)x(1-23%)

=75,000x(1-23%)^2

Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)

=75,000x(1-23%)^3

x Year : 75,000x(1-23%)^x              (Analogical Reasoning)

Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5

23%=0.23 1-23%=1-0.23=0.77

Therefore Fifth Year: 75000x(0.77)^5=$20300.88

Answer:

the distance is 14 feet. hope this helps