Grace made $3,300 in interest by placing $10,000 in a savings account with simple interest
for 3 years. What was the interest rate?

Answer:

The missing angle = 113°

Step-by-step explanation:

Let the missing angle be x

Sum all angles in a triangle = 108°

34° + 33° + x° = 108°

x° = 108° - 34° - 33°

x° = 113°

!!PLEASE PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Answer:

\(\tt x=113^o\)

Step-by-step explanation:

We know that the sum of angles in a triangle is always 180°.

So the sum of the three angles must be 180°.The two angles you know measure 34° and 33°.

Now, let's write an equation and find the measure of the unknown angle:-

\(\tt 34^o+33^o+ x=180^o\)

\(\tt 67^o+x=180^o\)

\(\tt x=180^o-67^o\)

\(\tt x=113^o\)

Therefore, the measure of the missing angle is 113°.

(A) To find the exact cost of producing the 31st food processor, we substitute x = 31 into the cost function C(x) = 1700 + 60x - 0.5x^2.

C(31) = 1700 + 60(31) - 0.5(31)^2

= 1700 + 1860 - 0.5(961)

= 1700 + 1860 - 480.5

= 3580 - 480.5

= 3099.5

Therefore, the exact cost of producing the 31st food processor is $3099.5.

(B) To approximate the cost of producing the 31st food processor using the marginal cost, we need to find the derivative of the cost function C(x) with respect to x, which gives us the marginal cost function.

C'(x) = 60 - x

The marginal cost represents the rate of change of the cost function with respect to the number of food processors produced. At x = 31, we can evaluate the marginal cost.

C'(31) = 60 - 31

= 29

The marginal cost at x = 31 is 29 dollars per unit.

To approximate the cost of producing the 31st food processor, we can use the following approximation formula:

Approximate cost = Exact cost at x - (Marginal cost * Change in x)

In this case, we want to approximate the cost of producing the 31st food processor, so the change in x is 1 (since we are considering a single unit change).

Approximate cost = C(31) - (C'(31) * 1)

= 3099.5 - (29 * 1)

= 3099.5 - 29

= 3070.5

Therefore, the approximate cost of producing the 31st food processor using the marginal cost is $3070.5.

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Answer:

I think the answer is 96

Step-by-step explanation:

I think that u have to multiply eight times ten. The you add twelve and that is how I got the answer of 96. I am pretty sure that it is correct but just i case I am sorry if u don't get it right.

Answer:

100

Step-by-step explanation:

the formula is b1+b2 divided by 2 times the height. 8+12=20 divided by 2 is 10 times 10 is 100.

The value of  x is 3.711 yd

area = √(s * (s - a) * (s - b) * (s - c))

where

s is the semi perimeter - half of triangle perimeter:

s = (a + b + c) / 2

Using Heron's Formula

area = √(s * (s - a) * (s - b) * (s - c))

area = √(14* (15- 6) * (15 - 14) * (15 - 10))

area = √(14* 9 * 1 * 5))

area = √ 630

area = 25.981 yd²

Now,

area of triangle= 1/2 * b * h

25.981 = 1/2 * 14 *h

51.962 = 14h

h= 3.711 yd

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Add up to get the total number of marbles: (8 + 6 + 12 + 10) = 36

Then subtract the number of blue marbles from the total amount of marbles: 36 - 8 = 28.

28 signifies the amount of marbles that are NOT blue.

So the probability is: 28/36 = 0.77 = About 77%

The final answer is 7/9.

Answer:

3

5

8

Step-by-step explanation:

if x is 0 then

y= x+3

= 0+3

again x is 2 then

y= 2+3

also x is 5 then

y= 5+3

Johnny should work to pass his calculus class to ensure that he has the necessary mathematical skills to succeed in his future career.

Johnny should work to pass his calculus class because it is a foundational subject that will serve him well in his future as a meteorologist. While it is true that meteorologists use computers to analyze data and make predictions, a solid understanding of mathematical concepts, including calculus, is still essential to be able to understand and interpret the results produced by these computer programs.

Calculus is used to model and analyze weather patterns, atmospheric processes, and climate change. By studying calculus, Johnny will gain a deeper understanding of the mathematical models used in meteorology, allowing him to make more informed decisions about which models are best suited for a particular situation, and how to use the models to generate accurate predictions.

In addition, a good understanding of calculus will allow Johnny to develop and improve upon existing models, helping to advance the field of meteorology. This could lead to a better understanding of the weather and more accurate predictions, which could help communities prepare for and respond to severe weather events.

So, even though meteorologists use computers, they still need a strong background in mathematics, including calculus, in order to be effective at their job.

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Answer:

-2 < 12

Step-by-step explanation:

12 is bigger than -2.

Answer:

X=6

Step-by-step explanation:

We know that the perimeter is the sum of all its sides.

\(P=63\\P=(4x-3)+(4x-3)+(4x-3)\\P=P\\(4x-3)+(4x-3)+(4x-3)=63\\12x-9=63\\12x=72\\x=\frac{72}{12} \\x=6\)

Answer:

y = 11.5x - 18

Step-by-step explanation:

i created this table in desmos and then entered this equation underneath:

y₁ (tilda sign) = mx₁ + b

desmos will draw a line of best fit and provide the correlation coefficient, slope, and y-intercept

Answer:

5 : 9

Step-by-step explanation:

divide both terms by the greatest common factor which in this case is 5

The numerical length of the line segment ST is 3.

Herein we have a line segment formed by three points collinear to each other. Mathematically speaking, we find the following condition:

SU = ST + TU

4 · x = (2 · x + 1) + (5 · x - 4)

4 · x = 7 · x - 3

3 · x = 3

x = 1

And the numerical length of the line segment ST is:

ST = 2 · 1 + 1

ST = 3

The numerical length of the line segment ST is 3.

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Step-by-step explanation:

(1/2)³ = 1³/2³ = 1/8

that is all there is to it.

Answer: The lines are only parallel if these pairs of angles are of equal size:

Angle 1 ≡ Angle 5

Angle 2 ≡ Angle 6

Angle 3 ≡ Angle 7

Angle 5 ≡ Angle 8

Step-by-step explanation:

All these angles follow a rule called corresponding angles. The rule goes that corresponding angles on parallel lines are equal. If the pairs of angles are equal, this must mean that the lines are parallel and vice versa.

The probability that fewer than 60 adults will work from home will be 2%.    

we have to use the Normal probability distribution to find the probability

In a normal distribution with mean μ, SD σ, z-score Z of a measure X  is given by

Z = (X-μ)/ σ

here,

15% adults work from home , So  p= 0.15

                                                       n = 500

∴  μ = np = 500(0.15) = 75

σ  = \(\sqrt{np(1-p)}\)

σ = 7.98

Now we have  selected adults(60) less than n (500)

So using the continuity correction , the probability is P(X< 60 - 0.5)

                                                                            = P( X< 59.5)

which is the p-value of Z when X = 59.5

∴ Z = (X-μ)/ σ

Z  =  (59.5 - 75)/7.98

Z =   - 1.98

so the p-value is 0.02

0.02 = 2% probability that fewer than 60 adults will work from home.

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Answer:

Step-by-step explanation:

f(x)=5x²+6

it is an upward parabola with vertex at (0,6)

Answer:

542

Step-by-step explanation:

May the 4th be with you (When it's May 4th lol)

Answer:

A.) 0.25

B.) 0.125 (maybe don't trust me)

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

x×108=y

x×2²×3³=y

3×108=324

The required value of z-statistic for the sample size of 20 and standard deviation of 5.4 beads is equals to 2.065.

Using the formula for the z-statistic

z = ( X - μ ) / (σ /√n )

X is the sample mean  = 52.5

μ is the population mean = 50

σ is the population standard deviation = 5.4

and n is the sample size = 20

Plugging in the values given in the problem, we have

z = ( 52.5 - 50 ) / (5.4 /√20 )

Simplifying the expression under the square root we get,

z = 2.5 / 1.209

  = 2.067

Rounding to three decimal places, we get a z-statistic of approximately 2.065.

Therefore, the z-statistic for the given sample mean and standard deviation is equal to 2.065.

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Answer: $300

Step-by-step explanation:

To calculate the total revenue from selling oranges, we need to multiply the amount of oranges sold by the price per pound.

In this case, we sold 100 pounds of oranges at $3 per pound. So, the total revenue for that day is:

Total revenue = Amount of oranges sold × Price per pound

Total revenue = 100 pounds × $3

Total revenue = $300

The equation of the graph shown can be written in factored form as follows:

y = a(x - h)(x - k)(x - m)

To find the equation, we need to identify the x-intercepts and the minimum point of the graph.

From the description, we know that the graph starts at the top left and continues down through the x-axis at x = -4. This means that one of the factors is (x + 4).

Next, the graph reaches a minimum around y = -2.8. This indicates that the graph touches the x-axis at this point, so another factor is (x + 2).

Moving forward, the graph goes back down to another minimum around y = -0.4. Again, this means the graph touches the x-axis at this point. So we have another factor, (x + 1).

Now we have all the necessary factors: (x + 4), (x + 2), and (x + 1). To determine the coefficient "a," we can use the fact that the graph goes up after crossing the x-axis at x = -2. This suggests that "a" must be positive.

Therefore, the equation of the graph in factored form is:

y = a(x + 4)(x + 2)(x + 1)

Please note that without specific points, it is not possible to determine the exact value of "a" or the precise shape of the graph. The equation provided represents a general equation that satisfies the given conditions.

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We are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

In the given scenario:

The boldface number "12.2" represents a statistic.

The boldface number "15.1" represents a statistic.

A statistic is a numerical value that summarizes a sample of data, while a parameter is a numerical value that summarizes a population.

In this case, we are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

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The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

.119047619

hope this helped

Answer:

8.4

Step-by-step explanation:

51.24 ÷ 6.1 = 8.4

Although, if you were dividing 6.1 by 51.24, you would have a totally different answer, the answer to 6.1 ÷ 51.24 = 0.119047619047619.

Answer: 8,000 in³

Step-by-step explanation:

The formula for the volume of a cube (a special type of box where all sides have the same length) is V = s^3, where s is the length of one side.

In this case, the length of one side of the cube is given as 20 inches.

Therefore, the volume of the cube is V = 20^3 cubic inches = 8,000 cubic inches.

Answer:

8,000 in2

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

x=1/4

Answer:

66

Step-by-step explanation:

since BD and BC are congruent, angle C and angle D are equal. this means 6x-9=3x+24. If you solve this equation you get x=11. If you plug it into either 6x-9 or 3x+24 you get 57. 180-(57+57)=66

Answer:

B) Variable Expense

Step-by-step explanation:

Because