You currently have $100 in your bank account and you deposit $15 each month with no withdrawals.
Your friend currently has $175 in his bank account and he withdraws $10 each month
with no deposits.
After how many months will you and your friend have the same amount of money in
your bank accounts?

To get full credit, you must write a system of equations on the paper you upload.

Please please please help

The answer is 105 units²

Explanation:

Since the middle is a square, the base of all 4 triangles are equal.

Let x be the height of the triangles.

The height of the triangle can be defined as:

15 = 7 + x + x

15 = 7 + 2x

15 - 7 = 2x

x = 8/2

x = 4

Area = area of square + 4(area of triangle)

= (7 x 7) + 4(1/2(7)(4))

= 49 + 56

= 105 units²

Answer:

its actually d

Step-by-step explanation:

it compares height to time

Answer:

X=-12

Step-by-step explanation:

9-16-5=X

-12=X

X=-12

Answer:

-13

Step-by-step explanation:

This is just a matter of simplifying.

x = 8-(-4)^2-5

Let's get rid of the exponent.

x = 8 - 16 - 5

x = -13

You can check if this is correct.

The tricky part is the -(-4)^2.

You have to solve the -4^2 first, instead of the parenthesis.

Answer: Measure out all the triangles and then subtract from the total and then their is your answer.

Answer:

slop:1

y-intercept: (0,6)

Step-by-step explanation:

don't mind that other stuff!!

Answer:

64 m, at time t = 4 sec

Step-by-step explanation:

We must maximize the function h = 32t – 4t^2.  One way in which to do this is to find the axis of symmetry, t = -b / [2a], and from that calculate the height:

a = -4, b = 32, c = 0

                                                                          -32

and therefore the axis of symmetry is t = ---------------- = 4

                                                                          2(-4)

The height, h, at time t = 4, is h(4) = 32(4) - 4(4)^2 = 64 m

The maximum height of the ball is 64 m, at time t = 4 sec

Step-by-step explanation:

The golf ball reaches its maximum vertical height when its vertical velocity h' becomes zero. Taking the derivative of h and setting it to zero, we get

h' = 32 - 8t = 0

which gives us t = 4 seconds. So after 4 seconds, the ball will reach its maximum height and its value is

h = 32(4) - 4(4)^2

= 128 - 64

= 64

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

Hope u got it :)

Step-by-step explanation:

[tex]9x^2 - 30xy + 25y^2 = (3x)^2 - 2 (15xy) + (5y)^2[/tex]

                           [tex]= (3x)^2 - 2(3x \times 5y) + (5y)^2\\\\[/tex]

[tex]This \ is \ of \ the \ form \ a^2 - 2ab + b^2 , \ that \ is \ (a-b)^2\\\\a = 3x, \ b = 5y[/tex]

[tex]9x^2 - 30xy + 25y^2 = (3x - 5y)^2[/tex]

Answer:

here you go

Step-by-step explanation:

Answer:

y = -3

Step-by-step explanation:

the length from directrix to vertex is equal to the length from focus to the vertex.

Answer: y=-3

Step-by-step explanation: y = -3 Step-by-step explanation: the length to vertex is equal

Answer:

a and bwhich step did he make his first error simplifying the expression?

A

Step

Answer:

the unit rate is  6.375 meters per second.

Step-by-step explanation:

51 meters ÷ 8

——————————-

8 seconds ÷ 8

=    6.375 meters

——————————

      1 second

6.375

51 / 8

8÷ 8

6.375 meters per second

Answer:

A) 1

B) 25

C) 0.007

D) 0.03

Step-by-step explanation:

A) 1 cm is 10mm so multiply the given number by ten to get the answer

B) 1m is 1000mm so divide the given number by one thousand to get the answer

B) 1kg is 1000g so divide the given number by one thousand to get the answer

C) One ml is 1000000 times smaller than 1kl so divide your number by 1000000 to get the answer

For every ginger cookie:

                                                      4:2

Step-by-step explanation:

When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.

However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.

We'll use the binomial distribution formula where n=4, k=4, and P=.6.

nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296

So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704.  You could double check this by calculating the prob of the other 4 outcomes and then adding them together.

The probability that at least 2 people have a cat is 0.522 or 52.2%.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.

The formula is:

P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]

where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).

For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).

P(2) = (5 choose 2) × 0.3² × 0.7³

P(2) = 0.252

To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.

P(≥2) = P(2) + P(3) + P(4) + P(5)

Substituting the values we get:

P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522

So, the probability that at least 2 people have a cat is 0.522 or 52.2%.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

x = 1

Step-by-step explanation:

First, combine like terms. Like terms are terms that share not only the same variable, but the same amount of that variable:

5x - 4 + 2x = 3

(5x + 2x) - 4 = 3

7x - 4 = 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

First, add 4 to both sides of the equation:

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

7x  = 3 + 4

7x = 7

Next, divide 7 from both sides of the equation:

(7x)/7 = (7)/7

x = 7/7 = 1

x = 1 is your answer.

~

Answer:

x = 1

Step-by-step explanation:

5x - 4 + 2x = 3

7x - 4 = 3           (add the Xs together)

7x = 7                (add seven to both sides)

x = 1                  (divide both sides by 7)

Answer:

8?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Student who did not play Volleyball  = Students who play only hockey + students who don't play any game

= 5 + 3 = 8

Students who play hockey only = 5

Answer:

Step-by-step explanation:

1) a variable term contains a variable. If x is  a variable

5x is an example of a variable therm

2) a constant therm is not a variable

3 is an example

3) for example when a number multiply a sum or a difference between a constant and a variable

Example:

2(x-3) = 5(x+4)

4) one solution: only if x is equal to 0 the equation is true

5) no solution: the equation can’t be true for ever value of the variable

6) infinite solutions: the equation is ever true for every value of the variable

Answer:

Sue has the greater probability of 2/5 and Eric has the probability of 1/5.

Step-by-step explanation:

Sue took 2 things and eric replaced his forst one, ending up with one treat.

The probability of Sue which is 2/5 is greater than Eric's probability which is 1 / 5.

Given that,
Eric and Sue will randomly select from a treat bag containing 3 lollipops and 2 gum balls. Eric will select, replace it, and then select a second treat. Sue will select a treat, not replace it, and then select a second treat.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total sample space = 5
Number of favorable outcomes for eric = 1 (because 1 st he picks and put that back and picks another)
number of favorable outcomes for Sue  = 2 (because he picks two items )
Probability of eric = 1  / 5
Probability of Sue = 2 / 5

Thus, the probability of Sue which is 2/5 is greater than Eric's probability which is 1 / 5.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5

Answer:

the answer is -281

Step-by-step explanation:

x+57=-234

x= -57-234

x= -281

Answer:

x+57

x=234-57= 177 I hope it will help you please follow me

Answer:

46,213,300 km

Step-by-step explanation:

46,213,267

in the above number ;

7 = units

6 = tens

2 = hundred

3 = thousand

1 = ten thousand

2 = hundred thousand

6 = million

4 = 10 million

to round off to the nearest hundred, look at the number in the tens (6). If this number is greater than or equal to 5, add 1 to the hundreds unit, if this is not the case, add zero

because  6 is greater than 5, add one to the hundred value

= 46,213,300 km

Answer:

(16, 6 )

Step-by-step explanation:

Basically you are expressing the points (dots ) in coordinate form

Locate x = 16 on the x- axis ( between 14 and 18 )

Then go vertically up to the point at (16, 6 )

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{8u^8 + (-21u^8)}\\\mathsf{= 8u^2 - 21u^8}\\\large\textsf{COMBINE the LIKE TERMS}\\\mathsf{=(8u^8 - 21u^8)}\\\mathsf{= 8 - 21\rightarrow\boxed{\bf -13}}\\\mathsf{= 8u^2 - 21u^8 \rightarrow \bf -13u^8}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf -13u}\bf ^2}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

180%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100.

Answer:

1.8 into a percent is 180%

Answer:

101/12

Step-by-step explanation:

3/4r-3 1/4=49/16

3 1/4=13/4

3/4r-13/4=49/16

3/4r=49/16+13/4

3/4r=49/16+52/16

3/4r=101/16

r=(101/16)/(3/4)

r=(101/16)(4/3)

r=101/12

Answer:

[tex]6[/tex]

The answer is C:6

Answer:

The vector AB is represented by (11, 2).

Step-by-step explanation:

Given two points on the same plane, we can determine the vector [tex]\overrightarrow{AB}[/tex] by this formula:

[tex]\overrightarrow{AB} = B(x,y) - A(x,y)[/tex] (1)

Where:

[tex]A(x,y)[/tex] - Coordinates of point A.

[tex]B(x, y)[/tex] - Coordinates of point B.

If we know that [tex]A(x,y) = (3, 7)[/tex] and [tex]B(x,y) = (14,9)[/tex], then the vector AB is:

[tex]\overrightarrow {AB} = (14,9) - (3,7)[/tex]

[tex]\overrightarrow{AB} = (11, 2)[/tex]

The vector AB is represented by (11, 2).

Answer:

jaja

yo buscando y vos preguntando

Step-by-step explanation: