Virgil opened an account with a deposit of $815.
. The bank pays 5% interest compounded annually on this account.
• Virgil makes no additional deposits or withdrawals.
How much interest will the account have earned after 6.5 years?

Answer:

x = 1

Step-by-step explanation:

[tex]7^{4x-6}=\frac{1}{49}[/tex]

[tex]7^{4x-6}=7^{-2}[/tex]

4x - 6 = -2

4x = -2 + 6

4x = 4

(Divide both sides)

x = 1

Answer:

  $1650

Step-by-step explanation:

Each payment is applied first to the amount of interest that is due, then to the remaining principal.

__

For the first monthly payment, the interest due is ...

  I = Prt = $1800(0.10)(1/12) = $15.00

So, the amount of the payment that gets applied to the principal is ...

  payment - interest = $165 -15 = $150

The new balance is ...

  $1800 -150 = $1650.00 . . . . new principal after the first payment

__

The attachment shows the balance after each payment. Each interest amount is rounded to cents. The negative balance after the last payment is the amount of excess that last payment represents.

Answer:

1.1%

Step-by-step explanation:

cost price=1.10×12

=$13.20

selling price=(12-3)×1.45

=9×1.45

=$13.05

loss= cost price-selling price

=13.20-13.05

=0.15

loss percent=0.15/13.20×100

1.13636

1.1%

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(I named the empty line y)

y²= 9²+5²

= 81+25

=106

y= V106

y≈10.30

x²= 4²+y²

= 4²+ (V106)²

= 16+106

=122

x≈11.05

Answer:

13/6

No explanation sorry :(

Answer:

x=-5/2

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]6^{x+3} = \sqrt{6}[/tex]

We want to find the value of x

This is an exponential equation. In order to find the value of x, we need to make sure that both sides of the equation are at the same bases before we solve the equation

On the left side, we have 6 (the base) raised to the power of x+3

On the right, we have √6

Here's a trick to make this problem easier: the square root of a number is equal to that number, raised to the power of 1/2. In other words, √a is equal to [tex]a^\frac{1}{2}[/tex]

Therefore, √6 is equal to [tex]6^\frac{1}{2}[/tex]

Rewriting the equation then:

[tex]6^{x+3}=6^\frac{1}{2}[/tex]

Both sides have the same base (6)

Now we can solve the equation for x. Simply take what the exponents are, and then set them equal to each other.

This means:

x + 3 = 1/2

Subtract 3 from both sides

x+3=1/2

  -3   -3
___________

x = -5/2

Hope this helps!

Answer:

63.14

Step-by-step explanation:

in order to get unit rate you take the distance 221miles divide by time which is 3.5 hr you get 63.14 after you have rounded .when you take 356miles divide by 6hrs you get 56.33 so the vehicle is the truck i think so

sorry to say this but kinda not that sure apologies if am wrong

Answer: 864

Step-by-step explanation:

The formula is 4/3 pie radius ^3 but since it says 3 just use three. Now the radius is 6. So you do 4/3 times 3 times 6^3 and you get 864. I hope this helps.

Answer:

90 in²

shoebox:

Another shoebox:

====================

[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]

====================

[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]

[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]

[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]

[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]

[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]

[tex]\sf \hookrightarrow \ x = 90[/tex]

Answer:

B

Step-by-step explanation:

the opposite angles of the quadrilateral ABDC are supplementary , that is

∠ BDC + 40° = 180° ( subtract 40° from both sides )

∠ BDC = 140°

Answer:

Perimeter = 30 in

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute given values into the formula and solving for a:

⇒ a² + 12² = 13²

⇒ a² + 144 = 169

⇒ a² = 25

⇒ a = 5 in

Therefore, perimeter = a + b + c

                                   = 5 in + 12 in + 13 in

                                   = 30 in

Final Answer:

[tex]\fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]

Step by Step explanation:

Data achieved from diagram:

The given triangle is a right angle triangle

Hypotenuse of triangle = 13 in.

Base of triangle = 12 in.

To find:

Perimeter of triangle = ?

Solution:

We need length of all three sides (Altitude) of triangle,

let's find out the measure of length of Altitude using Pythagoras theorem!

[tex]{Hypotenuse}^2 = {Base}^2 + {Altitude}^2 \\ {13}^{2} = {12}^{2} + {A}^{2} \\ {A}^{2} = 169 - 144 \\ {A}^{2} = 25 \\ {A} = \sqrt{25 } \\ \fbox{A = 5 \: in.}[/tex]

Now we have all three sides of triangle,

[tex]perimeter \: of \: triangle = Hyp. + Base + Alt. \\perimeter \: of \: triangle = 13 + 12 + 5 \\ \fbox{perimeter \: of \: triangle = 30 \: in.}[/tex]

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Answer:

38300000 can be written as 3.83 x 10⁷

Answer:

3.83 x [tex]10^{7}[/tex]

Step-by-step explanation:

38300000/ [tex]10^{7}[/tex] = 3.83

Answer:

b. y = 3/4x

Step-by-step explanation:

you can count it on the graph or use the slope formula

The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².

Total surface area (TSA) = 2(wl+hl+hw), where:

The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box

l = 20 in.

w = 8 in.

h = 13 in.

Plug in the values into the formula for total surface area of a rectangular box:

TSA = 2(8×20 + 13×20 + 13×8)

TSA = 1,048 in.²

Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².

Learn more about rectangular box on:

https://brainly.com/question/13103197

F(51)

===========================================================

Explanation:

The very large numbers are likely put there as a distraction. They aren't needed. Adding any two adjacent Fibonacci numbers will lead to the next term in the sequence. This is simply based on how the special number sequence is defined or set up.

This means F(49)+F(50) = F(51) i.e. adding the 49th and 50th terms will generate the 51st term.

In general,

F(n) + F(n+1) = F(n+2)

where n is a positive integer.

Answer:

x = - 11

x + 7 = -4

Step-by-step explanation:

[tex]3(x + 7) = - 12 [/tex]

Multiply each term in parentheses by 3

[tex]3x + 3 \times 7 = - 12[/tex]

Multiply 3 and 7

[tex]3x + 21 = - 12[/tex]

Move the constant to the right side and change the sign

[tex]3x = - 12 - 21[/tex]

Find the sum of negative numbers

[tex]3x = - 33[/tex]

Divide both side by the same number

[tex]x = - 11[/tex]

= x + 7

= -11 + 7

Add the term - 11 + 7

= -4

Hey ! mate

Answer:

Step-by-step explanation:

In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .

We are starting our solution from here :

[tex] \longmapsto \: 3( x + 7 ) = -12 [/tex]

Transposing 3 to right hand side :

[tex] \longmapsto \: x + 7 = \frac{ - 12}{3} [/tex]

Now , dividing -12 by 3 :

[tex] \longmapsto \: \blue{\boxed{x + 7 = -4}}[/tex]

Now ,

[tex] \longmapsto \:x + 7 = - 4[/tex]

Transposing 7 to right hand side :

[tex] \longmapsto \:x = - 4 - 7[/tex]

[tex] \longmapsto \: \blue{ \boxed{x = - 11}}[/tex]

Answer:

numbers = 11, 13

Explanation:

Let the two consecutive odd numbers be: n and n + 2

==========

⇒ One number: 11

⇒ Another number: 11 + 2 = 13

The sum of two consecutive odd numbers is 24. Find the numbers .

We have to find the numbers .

In this question we have to find the numbers by assuming the numbers and forming equations to finally get the appropriate answer .

[tex] \longrightarrow \: x + 2 + x= 24[/tex]

Now adding them ,

[tex] \longrightarrow \: 2x + 2 = 24[/tex]

Now taking 2 common ,

[tex] \longrightarrow \: 2(x + 1) = 24[/tex]

Now dividing 24 by 2 ,

[tex] \longrightarrow \: x + 1 = \frac{24}{2} [/tex]

We get ,

[tex] \longrightarrow \: x + 1 = 12[/tex]

Now transposing 1 to right hand side ,

[tex] \longrightarrow \: x = 12 - 1[/tex]

So ,

[tex] \longrightarrow \: \boxed{\bold{ x = 11}}[/tex]

Therefore value of first number is 11 .

Now , other consecutive no. be x + 2 . So

Therefore value of second number is 13 .

According to question sum of two consecutive no. is 24. So :

Answers:

=====================================================

Explanation:

When we have multivariable terms like this, we add up the exponents for each monomial separately.

The degree of this entire multivariable polynomial is the largest sum calculated in the list above. That sum being 6. Therefore, the degree of the polynomial is 6.

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

From that we can circle the leading term 5ab^5 since the leading term is always the one with the largest exponent sum (aka degree). The current polynomial as written is not standard form. It should be this:

5ab^5 - 2a^3b^2 + 7b^4 + 8

Notice how the exponent sums decrease when going from left to right. The largest sum is always listed first. Hence the "leading" aspect of "leading term".

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

The leading coefficient is the coefficient of the leading term.

The coefficient of 5ab^5 is 5. More specifically, it's the first "5" mentioned. As another example, the coefficient of 7ab^5 would be 7.

The leading coefficient is 5

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

The constant is the term without any variables attached to it. It stays the same number the entire time.

The constant term is 8

Answer:

5 units

Step-by-step explanation:

The volume of the cylinder is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.

⇒ πr²h = Volume of cylinder

⇒ (π)(3²)(h) = 45π

Now, simplify the equation to evaluate the area of the cylinder.

⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)

⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the kite. Hence:

At an angle of 56°, the height is:

sin(56) = h/15

h = 12.44 m

At an angle of 60°, the height is:

sin(60) = h/15

h = 13 m

The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.

Find out more on equation at: https://brainly.com/question/1214333

Answer:

84.0

Step-by-step explanation:

Range: Highest value - lowest value

Highest value: 76

Lowest value: -8

= 76 - (-8)

= 84

= 84.0

180+72=252

Step-by-step explanation:

an angel can be a large or as wide up to 360 then it is a circle

from the center out one way is 180

the same from the center the other way is 180

Answer:

1 1/8

Step-by-step explanation:

One half of 2 cups is 1 cup

One half of 1/4 cup is 1/8 cup

Answer = 1 + 1/8 = 1 1/8 cup

Another method

2 1/4 = (4×2+1)/4 = 9/4

Half of 9/8 = 1 1/8

Answer:

half of 2 1/4 as a fraction is 1 1/8

Answer:

6 tons

Step-by-step explanation:

So we know there are 120 passengers. If they all take the limit, which is 50 pounds each, we can multiply the 2 figures to get 120*50=6000 pounds. Since the question is asking us to answer in tons, we must convert 6000 pounds into tons. We can do this by using the convertion factor of 2000 lbs = 1 ton. With this logic, 6000 pounds equals 3 tons. But remember, each passenger can take 2 luggages. So just multiply by 2 to get 6 tons!

I hope this helped!

Please mark brainliest! I really need it. It would be very much appreciated.

Answer:

the answer is 662 feet

Step-by-step explanation:

becuase one eighth of a mile is 660 feet

Answer:

28 in2

Step-by-step explanation:

2×2÷2 + 2×2÷2 + 4×6

2in square +

2in square +

24in square=

28in squarr

The for formula for finding the area of a triangle is width times length divided by 2, and the formula for finding the area of a square is width times length.