On her 21st birthday, Sydney deposited $400 in a new bank account that earns 3.7% interest compounded continuously. If there are no other deposits or withdrawals, how much interest will she have earned by her 60th birthday

Answer:

140

Step-by-step explanation:

200-60 = 140

Answer:

c

Step-by-step explanation:

Substitute the values in the problem to get, (200) = 2(60) + 2W. Solve for W to get 200 = 120 + 2W. Subtract 120 on both sides to get 80 = 2W. Divide by 2 on both sides to get 40 = W or a width of 40 feet.

hope that helped you.

ANS: 2 (12e^2inx^3prs^3 o + 10

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

The given expression is :

12.8+6(n-0.5)

We need to evaluate the expression for n = 3.7

Put n = 3.7 in the above expression.

12.8+6(3.7-0.5)

= 12.8+6(3.2)

= 12.8 + 19.2

= 32

So, the value of the given expression is equal to 32.

Answer:

Yes

Step-by-step explanation:

The bottom left corner is a right angle

Answer:

f(x) = 500 • 1.1x

Step-by-step explanation:

To solve the question, we need to understand that:

- The population of ants is going to increase with time as they mate and have a population positive growth rate.

- The initial number of ants is 500.

- The rate at which it increases will be multiplied with x months

We will work our way out by removing the wrong answers first

Since,

The population cannot be decreased so we can neglect the last two options involving 0.9 as it will result in a decrease in the population.

Now we are left with two options:

a)  f(x) = 500 • 1.1x

b) f(x) = 1.1 • 500x

Since in the option (b) , 500 is multiplied with x , it is not possible as 500 is a constant initial amount and not a factor of growth of population. The growth factor is supposed to be multiple of x months.

So, the correct answer is f(x) = 500 • 1.1x

Answer:

7.580 ounces

Step-by-step explanation:

The question is asking how many ounces of silver are in the bar. We know that 93% of the bar is silver. The bar is 8.15 ounces. This means we need to find 93% of 8.15. Let's set up an equation.

93% of 8.15

93/100 • 8.15

0.93 • 8.15

= 7.5795

Round to the nearest thousandth.

7.580 ounces

Hope this helps!

Answer:

3.2mm ^3

Step-by-step explanation:

First find the scale factor to get the height of the smaller figure

SF= 1/5 or 0.2

Then use the Volume equation for triangular pyramid 1/3*(base area)*(height)

Your equation should look like this:

1/3 (4)(2.4)

9.6/3

Volume= 3.2 mm ^3

Answer:

a

Step-by-step explanation:

Answer:

nm - 2n + 8m - 16

Step-by-step explanation:

(n + 8) (m - 2)

nm - 2n + 8m - 16

Answer:

the answer will be 30...................

Answer:

$90.95

Hope this helps you! Also, here is a story to go along with my answer!

Once Upon A time there was a noble Knight, he wasn’t like any other Knight, he had powers, something much more than a sword and shield. He was part of a fairytail, which in this world is a association of wizards, or people who can use magic. As the noble night was walking around town, he noticed a figure far in the distance, of course he was a young, curious knight, so he decided to go explore the figure in the distance. As he walked upon the figure that wasn’t so far anymore he relized somethin, something so astonishing that he thought would never Be real, a castle full of treasures full of coins and gems. As he walked in to the castle, he wasnt aware f what would happen if he where to take the treasure, he made the best choice, not to satisfy his greed, and left the castle as it was when he found it before, promising himself not to tell anyone about what he witnessed that day.

Yours Truly, TheAnimeCatUwU

Answer:

-3(6-r) = 9

- 18 - 3r = 9   incorrect: should be -18 +3r = 9

- 3r = 27       incorrect: should be 3r = 27

9                   actually correct: r = 9

Answer:

the answer is C I'm studying this right now

Answer:

It is D

Step-by-step explanation:

Within each coordinate it represents (x,y)

The x moves along the horizontal line and the Y moves along the vertical line.

For example: For (-5,5) move to the left 5 times, then move up 5 times.

A negative X goes to the left and a negative Y goes down.

A positive X moves to the right and a positive Y moves up.

Answer: [tex]W=13,874\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

Elevator holds [tex]15,893\ \text{Pounds}[/tex] of merchandise

Now, 3473 Pounds of the box is loaded, and then 5492 Pound of the container is taken off

Net weight held by elevator is

[tex]\Rightarrow W=15,893+3473-5492\\\\\Rightarrow W=13,874\ \text{Pounds}[/tex]

Answer:

60%

Step-by-step explanation:

Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.

They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:

6/10 = 0.60, or 60%

Tina has a 60% chance of drawing a nickel from her pocket.

~

Answer:

you need to put a picture

Step-by-step explanation:

:)

Answer:

125

Step-by-step explanation:

5*5*5 = 15*5 = 125

Answer:

125

Step-by-step explanation:

Times 5 three times by itself

Answer:

3

Step-by-step explanation:

Given

[tex]\frac{x^2-xy}{x^2+2y}[/tex] ← substitute x = 3 and y = - 2

= [tex]\frac{3^2-3(-2)}{3^2+2(-2)}[/tex]

= [tex]\frac{9+6}{9-4}[/tex]

= [tex]\frac{15}{5}[/tex]

= 3

Answer:

Range:   ( − ∞ , 14 ]

Step-by-step explanation:

Answer:

16.2 is your answer..

Step-by-step explanation:

36/0.45

=36*45/100

=1620/100

=162/10

=16.2

Hope it will helps you to understand

Answer:

Decimal

Step-by-step explanation:

The 37 and the 2 is separated by that little dot called a decimal.

Answer:

37+2/10

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

:)

Answer:

  no

Step-by-step explanation:

The sides of the given lengths will form a right triangle if they satisfy the Pythagorean theorem.

  c² = a² + b²

  9² = 4² +6²

  81 = 16 +36 . . . . . not true

These side lengths do not form a right triangle. (They form an obtuse triangle.)

Answer:

(x+9)(x-3)

Step-by-step explanation:

Find the number that multiplies to make -27 and adds to make 6. In this case it is 9 and -3. Use these numbers to factorise.

Answer:

(x-3) (+9)

Step-by-step explanation:

To know what numbers to use, factor out the constant (-27).

You would get the numbers : 1,3,9,27.

Then figure out which numbers would make the 6x true. In this case, we would need the 3 and 9. They also need to add up to 6x, so the 3 needs to be negative.

-3 & 9

Then form the factors:

(x-3) (x+9)

--------------------------

You can also check this to make sure.

Have a nice day!

Answer:

lol what

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

[tex]$3x+(3)(x)+(y)(3)$[/tex]

[tex]$=3x+3x+3y$[/tex]

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).

Answer:56.1

Step-by-step explanation:

Clicked see solution

Answer:  100%

97:97*100 =

(97*100):97 =

9700:97 = 100

Now we have: 97 is what percent of 97 = 100

Question: 97 is what percent of 97?

Percentage solution with steps:

Step 1: We make the assumption that 97 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=97$.

Step 4: In the same vein, $x\%=97$.

Step 5: This gives us a pair of simple equations:

$100\%=97(1)$.

$x\%=97(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{97}{97}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{97}{97}$

$\Rightarrow x=100\%$

Therefore, $97$ is $100\%$ of $97$.

Answer:

100%

Step-by-step explanation:

Answer:

14

Step-by-step explanation: