A credit card had a APR of 33. 01% all of last year and compounded interest daily. What was the credit card’s effective interest rate last year?

Yooo how u doin ?

\(f( - 4) = ( { - 4})^{2} + 3\)

\(f( - 4) = 16 + 3\)

\(f( - 4) = 19\)

There it is ....

Don't have a good day , Have a great day ❤

To draw a contour map of the function f(x,y) = ln(x^2 + 4y^2), we need to find several level curves of the function. A level curve of the function f(x,y) is a curve that satisfies the equation f(x,y) = c, where c is a constant.

For example, let's say we want to find the level curve of f(x,y) = ln(x^2 + 4y^2) that corresponds to c = 0. This means that we need to find all points (x,y) that satisfy the equation:

ln(x^2 + 4y^2) = 0

To solve this equation, we can rewrite it as:

x^2 + 4y^2 = 1

This is the equation of a circle with a radius of 1 centered at the origin. Therefore, the level curve corresponding to c = 0 is a circle with a radius of 1 centered at the origin.

Similarly, we can find the level curves corresponding to other values of c by solving the equation f(x,y) = c. For example, the level curve corresponding to c = 1 can be found by solving the equation:

ln(x^2 + 4y^2) = 1

This equation can be rewritten as:

x^2 + 4y^2 = e

This is the equation of a circle with a radius e centered at the origin.

To draw the contour map of the function f(x,y) = ln(x^2 + 4y^2), we can draw these level curves on a graph, with the level curves corresponding to smaller values of c closer to the origin and the level curves corresponding to larger values of c farther from the origin

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Answer: 12% because 12% is half of 48% if not I’m sorry

Answer:

w=12

Step-by-step explanation:

3.6w=2(0.8w+12)

3.6w=2x0.8w+2x12

3.6w=1.6w+24

3.6w-1.6w=24

2w=24

w=12

HOPE THIS WILL HELP;)

The height of the tree will be 18.35 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Matt is trying to measure the height of a tree using trigonometry.

He is having trouble because of the terrain around the tree.

The horizontal distance from the tree to Matt's eyes is 120 feet.

The angle of depression from the horizontal is 30°.

Matt's angle of sight to the top of the tree is 23°.

The diagram is given below.

Let x be the height of tree and AM be h.

The value of (h + x) will be

tan 30° = (x + h) / 120

   x + h = 69.288

Then the value of h will be

tan 23° = h / 120

        h = 50.94 feet

Then the height of the tree will be

⇒ h + x – h

⇒ 69.29 - 50.94.

⇒ 18.35 feet

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In the triangle xyz with x = 67 and y = 71 the measure of z is 42

An angle is the opening formed by two half-straights (sides) with the same origin called vertex. For example, within a triangle there are three angles, which in total add up to 180°.

In the triangle we have the following angle sum property:

<X + <Y + <Z = 180°

Substituting the values and clearing the z variable, we have:

67 + 71 + Z = 180

138 + Z = 180

Z = 180 - 138

Z = 42

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Answer:

6.125

Step-by-step explanation:

Divide 24.50 by 4!

Answer:

$6.13 for each basket.

Bonus: $61.30 for ten baskets.

Step-by-step explanation:

To solve this, we would divide the $24.50 by four, because there are four baskets. We now know that she paid $6.13 (rounded from $6.125) for each basket. To solve for 10 baskets, you would take the price per basket of $6.13 and multiply it by ten, resulting in $61.30 for all ten baskets.

Hope this helps!

Answer:

first option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \(\frac{2}{3}\) , thus

y = - \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (- 3, 8) into the partial equation

8 = 2 + c ⇒ c = 8 - 2 = 6

y = - \(\frac{2}{3}\) x + 6 ← equation of line

Answer:

theirs, is not enough info we need to see the graph this is just not enough info

Step-by-step explanation:

Tommy can create 20 different shirts by choosing from 5 different shirt colors and 4 different logos.

You must multiply the number of options for the shirt color by the number of options for the logo to determine the total number of unique shirts that Tommy can design.

Tommy offers 4 different logos and 5 different shirt colors.

Consequently, Tommy may make the following amount of distinct shirts in total:

20 distinct shirts result from multiplying 5 shirt colors by 4 logos.

Tommy can therefore choose from 4 different logos and 5 different shirt colors to produce 20 different shirts.

Hence Tommy can create 20 different shirts by choosing from 5 different shirt colors and 4 different logos.

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Step 1:

Total number of free throws = n

Step 2:

If a basket player missed 50% of her/she then he/she made 50%

Step 3:

Final answer

324

Answer: -240 = -4π / 3, 60 = π / 3, 270 = 3π / 2, 945 = 21π / 4, -30 = -π / 60, 195 = 13π / 12

Step-by-step explanation:

The formula for converting Degrees into Radians is Degrees * (π / 180) = Radians.

For -240, we have -240 * (π / 180) = -240π / 180 and simplifying gives us -4π / 3

60:  60 * (π / 180) = 60π / 180 = π/3

270:  270 * (π / 180) = 270π / 180 = 3π / 2

945:  945 * (π / 180) = 945π / 180 = 21π / 4

-30:  -30 * (π / 180) = -30π / 180 = π / 60

195:  195 * (π / 180) = 195π / 180 = 13π / 12

Answer:

3y+5≤17

Step-by-step explanation:

Well we know she brought 1 note book and each note book is $5, its +5

Now we know she brought Y markers and each marker cost $3 so its 3Y

Now we know the price is no more than 17 which means she could’ve spent 17 or less tha, no more then 17 so less than or equal to sign ≤17

Now combine them

3y+5≤17

Thats the equation

If you want to find Y, solve it like an equation

Answer:

12 / (-15) goes in the first box.

12 / 15 goes into the second box

15 / -12 goes into the third box

and 15 / 12 goes into the fourth box

Step-by-step explanation:

Answer:

if im not mistaken the order should go

1.15/12

2.12/(-15)

3.12/15

4.15/(-12)

Step-by-step explanation:

if wrong or i made a mistake please tell me :)

According to the question The standard deviation of the sampling distribution is approximately 0.1009.

The standard deviation of the sampling distribution can be calculated using the formula:

\(\[ \text{Standard deviation} = \sqrt{\frac{p \cdot (1 - p)}{n}}, \]\)

where:

- \(\( p \)\) is the population proportion (in this case, the proportion of catfish in the river, which is 0.47),

- \(\( 1 - p \)\) is the proportion of the other category (non-catfish),

- \(\( n \)\) is the sample size (25).

Plugging in the values:

\(\[ \text{Standard deviation} = \sqrt{\frac{0.47 \cdot (1 - 0.47)}{25}} \approx 0.1009. \]\)

Therefore, the standard deviation of the sampling distribution is approximately 0.1009.

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Answer: 98 mins

Step-by-step explanation:

First find out the number of minutes it takes him to decorate a single cupcake:= Number of minutes / Number of cupcakes decorated = 28 / 16= 1.75 minutes per cupcakeIf he had to decorate 56 cupcakes, the amount of time he would take is:= Number of cupcakes to be decorated x Time taken per cupcake = 56 x 1.75= 98 minutes 

Answer & Step-by-step explanation:

We can assume that Adrian decorates cupcakes at a constant rate, so we can use a proportion to solve the problem.

If Adrian can decorate 16 cupcakes in 28 minutes, we can set up the proportion:

16/28 = 56/x

where x is the number of minutes it will take to decorate 56 cupcakes.

To solve for x, we can cross-multiply and simplify:

16x = 28 * 56

16x = 1568

x = 1568/16

x = 98

Therefore, if Adrian can continue at the same pace, it will take him 98 minutes to decorate 56 cupcakes.

The value of the improper integral is -15/64, which is a finite number. According to the Integral Test, since the integral converges to a finite value, the series is also convergent.

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus,[a] the other being differentiation. Integration started as a method to solve problems in mathematics and physics, such as finding the area under a curve, or determining displacement from velocity. Today integration is used in a wide variety of scientific fields.

Using the Integral Test, we can determine the convergence or divergence of a series by evaluating the corresponding improper integral.

For the given series,

∫ n = 1 [infinity] 5/(2n + 2)^3

we can evaluate the corresponding integral as

∫ n = 1 [infinity] 5/(2n + 2)^3 dn

= [(-5/2) * 1/(2n + 2)^2] | n = 1 to [infinity]

= [(-5/2) * (1/2^2)] | n = 1 to [infinity]

= (-5/8) [1 - 0]

= -5/8

Since the integral is a finite negative value, the series is convergent.

For the second part of the question,

∫ 1 [infinity] 15/(2x + 2)^3 dx

we can evaluate the corresponding integral as

∫ 1 [infinity] 15/(2x + 2)^3 dx

= [(-15/2) * 1/(2x + 2)^2] | 1 to [infinity]

= [(-15/2) * (1/2^2)] | 1 to [infinity]

= (-15/8) [1 - 0]

= -15/8

Since the integral is a finite negative value, the series is convergent.
Hi! To use the Integral Test to determine if the series is convergent or divergent, we need to consider the function f(x) = 5/(2x + 2)^3 and evaluate the improper integral from 1 to infinity.

1. The series: Σ (n = 1 to infinity) 5/(2n + 2)^3

2. The corresponding function: f(x) = 5/(2x + 2)^3

3. Evaluate the improper integral:

∫(1 to infinity) 15/(2x + 2)^3 dx

To solve this integral, we'll use substitution:

Let u = 2x + 2, so du = 2dx, and dx = du/2.

When x = 1, u = 4. When x approaches infinity, u also approaches infinity.

Now, substitute and adjust the integral:

(1/2) ∫(4 to infinity) 15/u^3 du

Integrate with respect to u:

(1/2) * [-15/2 * 1/u^2] (evaluated from 4 to infinity)

As u approaches infinity, the term -15/2 * 1/u^2 approaches 0. Now, evaluate the remaining part at u = 4:

(1/2) * [-15/2 * 1/16] = -15/64

So, the value of the improper integral is -15/64, which is a finite number. According to the Integral Test, since the integral converges to a finite value, the series is also convergent.

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9514 1404 393

Answer:

  discrete

Step-by-step explanation:

"The number of (anything)" means the possible values are counting numbers. The random variable involved is necessarily discrete.

A protractor is a tool used for measuring and drawing angles. It is typically a semi-circular piece of plastic or metal with a degree scale marked along its curved edge.

The scale typically ranges from 0 to 180 degrees, which covers half a circle. To measure or draw an angle of 45 degrees, you would line up the protractor's baseline with one arm of the angle and use the degree scale to find 45 degrees. If you are drawing the angle, you would then use a straightedge to extend the other arm of the angle from the point where it intersects the 45-degree mark on the protractor.

It's important to note that the 45-degree angle represents 45/360 of a full circle, which is equal to one-eighth of a full rotation. This means that if you were to rotate the angle around its vertex, it would make one-eighth of a full circle before aligning with its original position.

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Answer:

3/8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Substitute the values in for x and y and you will see B is correct.

Answer:

25 / 102

Step-by-step explanation:

Number of red cards in a standard deck = 26

Total number of cards in a deck = 52

Probability = required outcome / Total possible outcomes

Two cards drawn without replacement :

1st draw:

P(red) = 26 / 52 = 1/2

2nd draw :

(26 - 1) / (52 - 1) = 25/51

Probability of red after 2 draws without replacement :

1/2 * 25 /51 = 25 / 102

Answer: x=-1

Step-by-step explanation:

3x+2(2x+8)=9

Answer:

3x+2y=9

3x+2(2x+8)=9

3x+4x+16=9

7x=-7

x=-1

y=2(-1)+8

y=-2+8

y=6

Step-by-step explanation:

Answer:

Graph C. Hope this is correct!!!

Step-by-step explanation:

Answer: It should be "B". the vertical axis is the time and the horizontal axis is number of trees.

This is what my teacher sent me.

Answer: D

Step-by-step explanation:

Using the two point slope form with points (0, 0) and (4, -3):

\(\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}\)

\(\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}\)

Therefore, D is the correct answer

Answer:

D. y=-3/4x

Step-by-step explanation:

because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)

The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.

From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).

Thus, we have:

(x / 19.3) = (3.9 / 7.2)

Then, attempting to find the value of x we have:

x = (3.9 / 7.2) × (19.3)

= 10.5

Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.

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Josiah invested $96,000 in an account paying an interest rate of 3.5% compounded continuously. Assuming no deposits or withdrawals are made, the value of the account will reach $153,400 after 9 years.

To calculate this, we can use the formula for the future value of a single sum invested with an inverted interest rate compounded continuously.

Future Value = Present Value × (1 + r)n

Where:

We can solve for n to find out how many years it will take to reach $153,400.

153,400 = 96,000 × (1 + 0.035)n

153,400/96,000 = (1 + 0.035)n

Taking the natural log of both sides and simplifying:

ln(153,400/96,000) = n × ln(1.035)

n = ln(153,400/96,000)/ln(1.035)

n ≈ 8.99

To the nearest year, it will take 9 years for the value of the account to reach $153,400.

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