Mr. Nell is painting his coffee table. The micture that he adds to the paint is made of 5/6 cup
baking soda for every 5 tablespoons of water.
What is the rate in cups of baking soda per tablespoon of water?

The total value of $6800 compounded quarterly at 6% for 3 years is $8,123

From the question, we have

A = final amount

P = principal amount (initial investment) = $6800

r = annual interest rate = 0.06 ie. 6%

n = number of times interest is compounded per year = 4

t = time (in years) = 3

The total value is calculated as:

A = P(1 + r/n)^(nt)

substitute the known values in the above equation, so, we have the following representation

A = 6800(1 + 0.06/4)^(4*3)

Evaluate

A = 8130.2

Hence,, the value is $8130.2

Read more about compound interest at

https://brainly.com/question/24924853

#SPJ1

Answer:

12.3

Step-by-step explanation:

You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.

cos 35 degrees = adjacent/hypontenuse

cos 35 = y/ 15

15( cos35 ) = y

y=12.287

=12.3

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

for more such questions on mean

https://brainly.com/question/1136789

#SPJ8

Answer: 11

Step-by-step explanation:

F(1) = 3(1) + 8

F(1) = 3 + 8

F(1) = 11

You just substitute the x in for 1 and solve from there.

Answer:

1

Step-by-step explanation:

Answer:

7.785

Step-by-step explanation:

William and Jill together is 3.114 so just times that by 2.5 and your good

Answer:

7.785 lbs

Step-by-step explanation:

add 2.35 and .764 then multiply by 2.5

Answer:

yes

Step-by-step explanation:

you can classify people into categories by name, state, and age. Hope this helps!

Answer:

yeah it's right

Step-by-step explanation:

9514 1404 393

Answer:

  p = 1.2

Step-by-step explanation:

From here, it is a 2-step linear equation.

Step 1:

Identify the constant term on the side of the equation with the variable. Subtract that constant from both sides.

  -10.9p = -13.08

Step 2:

Divide both sides by the coefficient of the variable.

  p = -13.08/-10.9 = 1.2

The solution is p = 1.2.

Answer:

28.2°

Step-by-step explanation:

formula for an included angle (law of cosines)

\( - \cos( \frac{ {a }^{2} + {b}^{2} - {c}^{2} }{2ab} )\)

(the variables change depending on the question, this one is switched, for example...it is actually b squared+ c squared - a squared over 2(bc) in this case)

after you plug it all in, you get cos⁻¹(0.88125), and an answer to the nearest tenth of 28.2

If you found this answer helpful, I would greatly appreciate brainliest :D.

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer:

$199.29

Step-by-step explanation:

Total payments = $7,174.24

Total interest = $1,174.24

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Answer:

i think its 3 im not sure

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30/30

→ [ x = -1 ]

Hence, the value of x is -1.

We can see here that the equation that best models the situation is: B.  13 - (60h/23) = 10.

Speed is a scalar quantity that describes how fast an object is moving, or the rate at which it covers distance. It is typically measured in units of distance per unit of time, such as miles per hour or meters per second.

Speed only tells us how fast an object is moving, without any information about the direction of motion or changes in direction.

We can see that if we find the time, h in hours, we will have:

h = (3 x 23)/60

Simplifying this expression gives us:

h = 69/60

Therefore, the equation is:

h = 1.15

(Note: 3 is gotten from 13 gallons - 10 gallons = 3 gallons that was used at that particular time and speed).

If we substitute h = 1.15 into our model equation, we will get the correct answer.

Thus, 13 - (60 × 1.15)/23 = 10.

∴ Option B is the correct answer.

Learn more about speed on https://brainly.com/question/13943409

#SPJ1

A height with a z-score of 1 is the lowest, a height with a percentile rank of 80 percent is in the middle, and a height at the third quartile Q₃ is the highest.

A bell-shaped distribution is also known as a normal distribution. It is a symmetrical distribution where the mean, median, and mode are all equal. The distribution has two tails that extend out from the mean in either direction. A height with a z-score of 1 is the lowest because a z-score of 1 is one standard deviation below the mean. A height with a percentile rank of 80 percent is in the middle because it is the 80th percentile, meaning that 80 percent of the data is lower than it. A height at the third quartile Q₃ is the highest because it is the 75th percentile, meaning that 75 percent of the data is lower than it. In ascending order, the heights arranged are III, II, and I.

Learn more about z score here

https://brainly.com/question/15016913

#SPJ4

The wire used for the triangular pendant can have a cost more than 664.65 USD and less than 791.25 USD.

In this problem we find the case of a triangle, in which the length of two sides are known and we need to determine the range of costs associated to the set of all possible triangles. This can be derived by the geometric system described in the image attached below. The minimum and the maximum costs of the pendant:

θ = 0°

l = 10.5 cm - 2.5 cm

l = 8 cm

s = 10.5 cm + 8 cm + 2.5 cm

s = 21 cm

C = (31.65 USD / cm) · (21 cm)

C = 664.65 USD

θ = 180°

l = 10.5 cm + 2.5 cm

l = 13 cm

s = 10.5 cm + 2.5 cm + 12.5 cm

s = 25 cm

C = (31.65 USD / cm) · (25 cm)

C = 791.25 USD

To learn more on triangles: https://brainly.com/question/2272632

#SPJ1

Answer:

Lion area: 60

Lion Perimeter: 34

Tiger Area: 60

Tiger perimeter: 64

Step-by-step explanation:

Answer:

0000000000000000000

Step-by-step explanation:

the equation equals any number so you could use a variable

so the answer unsimplified is infinity

So the correct option is (d), for that we have know little bit about graph because graph is helpful to represent points.

A diagram that depicts the relationship between two variables, usually (generally)  measured along opposite axes in a pair, is used.

We have that means given,

\(\frac{x^{2} +10x+16}{x-3} > 0\)

\(\frac{(x+2)(x+8)}{x-3} > 0\)

So,

(a). (x +2) >0                                      

(x +8) > 0                        

\((x - 3) > 0 \implies x > 3\)

(b). (x +2) < 0

(x +8) < 0

\((x - 3) > 0 \implies No\ Solution\)

(c). (x +2) > 0

(x +8) < 0

\((x - 3) < 0 \implies No \ Solution\)

(d). (x +2) < 0

(x +8) > 0

\((x - 3) < 0 \implies -8 < x < -2.\)

\(So, -8 < x < -2 \ or\ x > 3\)

Therefore the 4th graph is right.

To learn more about Graph, visit:

https://brainly.com/question/11803331

#SPJ1

Answer:

C

Step-by-step explanation:

The poem itself, which is a funny description of sports.

Answer: C) the peom itself which is funny description of sports.

Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.

Answer: 6.4b - 32

Step-by-step explanation:

Answer:m=134

Step-by-step explanation:

that's the only correct answer

A) the total cost of the adjustable-rate mortgage is $493,342.

B) the total cost of the fixed-rate mortgage is $225,000.

C) the choice between the two types of mortgages depends on individual financial circumstances and preferences.

What is simple interest?

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Part A:

To find the total cost of the adjustable-rate mortgage, we need to add up the total payments over the life of the mortgage. We can do this by multiplying the monthly payment by the number of months in each period, and then adding up the results for each period:

Total cost = (60 x 1074.18) + (120 x 1311.20) + (120 x 1484.91) + (60 x 1555.99)

Total cost = $64,449.60 + $157,344 + $178,189.20 + $93,359.40

Total cost = $493,342

Therefore, the total cost of the adjustable-rate mortgage is $493,342. To solve this, we used a calculator and the formula for the present value of an annuity due.

Part B:

To find the total cost of the fixed-rate mortgage, we can use the formula for the present value of an annuity:

PV = PMT x (1 - (1 + r)⁻ⁿ) / r

where PV is the present value of the mortgage, PMT is the monthly payment, r is the monthly interest rate (6% / 12 = 0.005), and n is the total number of payments (30 x 12 = 360).

Substituting these values, we get:

PV = 1318.21 x (1 - (1 + 0.005)^-360) / 0.005

PV = $225,000

Therefore, the total cost of the fixed-rate mortgage is the same as the present value of the mortgage, which is $225,000.

Part C:

The advantage of the adjustable-rate mortgage is that the initial interest rate is lower than the fixed-rate mortgage, which results in lower monthly payments in the first few years. However, the disadvantage is that the interest rate can increase in later years, leading to higher monthly payments and uncertainty about future payments.

The advantage of the fixed-rate mortgage is that the interest rate and monthly payments are fixed for the entire term of the mortgage, providing certainty and stability. However, the disadvantage is that the initial interest rate is usually higher than the adjustable-rate mortgage, resulting in higher monthly payments in the beginning.

Ultimately, the choice between the two types of mortgages depends on individual financial circumstances and preferences. If a borrower values stability and predictability, a fixed-rate mortgage may be a better choice.

However, if a borrower plans to sell the property or refinance in a few years, an adjustable-rate mortgage may be a more cost-effective option.

Hence, A) the total cost of the adjustable-rate mortgage is $493,342.

B) the total cost of the fixed-rate mortgage is $225,000.

C) the choice between the two types of mortgages depends on individual financial circumstances and preferences.

To learn more about the simple interest visit:

brainly.com/question/20690803

#SPJ1

Answer:

\(x=4\)

Step-by-step explanation:

-x + 4 equals 0.

Substitute 4 for x:

\(g(4)=-4+4\)

Simplify:

\(g(4)=0\)

\(x=4\)

Answer: E

Step-by-step explanation:

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

for such more question on slope-intercept equation

https://brainly.com/question/9753782

#SPJ8

Answer:

The constant proportionally of the graph is:

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

k = y/x

k = 4/0.5

k = 8

at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

k = y/x

k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

To learn more about the volume visit:

brainly.com/question/24372707

#SPJ1