Please help me? I'm almost certain it is only option A but I want a second opinion.
Aimee is comparing three investment accounts offering different rates.

Option A: APR of 7.79% compounding monthly

Option B: APR of 7.70% compounding quarterly

Option C: APR of 7.685% compounding daily


She would like to earn at least an 8% annual yield. Which account(s) will give Aimee the yield she wants?

Answer: False

Step-by-step explanation:

n/7 - 8 < -11

add 8 to each side

n/7 < -3

multiply by 7

n< -21

False

The only time we flip the inequality symbol is when we multiply or divide by a negative.

Hope this helps!

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Answer:

The system of equations is the option A

[tex]x+y=280[/tex]

[tex]y=4x[/tex]

Jenna bought [tex]56[/tex] parrot fish and [tex]224[/tex] trigger fish

Step-by-step explanation:

Let

x-----> the number of parrot fish

y-----> the number of trigger fish

we know that

[tex]x+y=280[/tex] -----> equation A

[tex]y=4x[/tex] ------> equation B

The answer Part 1) is the option A

Substitute equation B in equation A

[tex]x+4x=280[/tex]

Solve for x

[tex]5x=280[/tex]

[tex]x=56[/tex]

Find the value of y

[tex]y=4x[/tex]

[tex]y=4*56=224[/tex]

therefore

The answer part 2) is

Jenna bought [tex]56[/tex] parrot fish and [tex]224[/tex] trigger fish

Final answer:

The correct system of equations modeling Jenna's purchase of tropical fish, where x is the number of parrotfish and y is the number of triggerfish, is x + y = 280 and y = 4x, which is option A.

Explanation:

The problem given is about modeling a real-world situation with a system of equations where x represents the number of parrotfish Jenna bought and y represents the number of triggerfish she bought. Jenna bought 280 tropical fish for a museum display, and she bought 4 times as many triggerfish as parrotfish. The system of equations that models this situation is:

x + y = 280

y = 4x

This matches option A from the given choices. The first equation represents the total number of fish Jenna bought, while the second equation represents the relationship between the number of triggerfish and parrotfish, with the triggerfish being four times the number of parrotfish. To solve, substitute the second equation into the first to find the values of x and y.

Answer:

true

Step-by-step explanation:

please add brainliest

Answer:

It’s true

Step-by-step explanation: just took the test

Answer:

it should be CAB and GEF

Step-by-step explanation

Answer:

Length of the conjugate axis is 6 units.

Step-by-step explanation:

Given Equation is ,

[tex]\frac{(x-1)^2}{25}-\frac{(y+3)^2}{9}=1[/tex]

To find: Length of the conjugate axis.

We know that given equation is Equation of Hyperbola.

First Transverse Axis: Axis passing through the vertices is called the transverse axis. Length of the transverse axis is 2a.

Now, Conjugate Axis: Axis which is perpendicular to the transverse axis through the center is called the conjugate axis. Length of the Conjugate axis  is 2b.

Equation in standard form is written as ,

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]

So, Comparing with Standard equation,

we get, a² = 25 ⇒ a = 5   and     b² = 9 ⇒ b = 3

Thus, Length of the conjugate axis = 2 × 3 = 6 unit

Therefore, Length of the conjugate axis is 6 units.

For the given equation of hyperbola:

[tex]\dfrac{(x-1)^2}{25}-\dfrac{(y+3)^2}{9}=1[/tex]

The length of the conjugate axis is 6 units.

In analytic geometry, a hyperbola is a conic section created when a plane meets a double right circular cone at an angle that overlaps both cone halves.

The standard equation of the hyperbola is,

[tex]\dfrac{(x-h)^2}{a^2}- \dfrac{(y-k)^2}{b^2} =1[/tex]

Where,

a is half of the transverse axis.

b is the half of the conjugate axis.

The given equation is,

[tex]\dfrac{(x-1)^2}{25}-\dfrac{(y+3)^2}{9}=1[/tex]

Comparing it with the above standard equation, we get:

a² = 25

⇒ a = ± 5

b² = 9

⇒ b = ± 3

Since, the length of the conjugate axis of hyperbola = 2b

Therefore,

The length of the conjugate axis:

= 2x3

= 6 units.

Hence,

The required length of the conjugate axis is 6 units.

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Answer:

A term at position n can be expressed as \[2*3^{n-1}\]

Step-by-step explanation:

The given geometric sequence is 2, 6, 18, 54, …

Starting term = 2

Second term = 6

So second term is 3 times the first term.

Similarly, Third term = 18

This is 3 times the second term, that is , 3 * 6

Fourth term is is 54.

This is 3 times the third term, that is , 3 * 18

Generalizing, a term in the sequence can be expressed as \[2*3^{n-1}\]

where n represents the position of the term in the sequence.

Final answer:

To find the hypotenuse of a right triangle, apply the Pythagorean theorem: a² + b² = c². After squaring the lengths of the two other sides and adding them together, take the square root of the sum to get the length of the hypotenuse, which is approximately 10.3 units in the example provided.

Explanation:

To find the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). This can be written as the equation a² + b² = c². To solve for the hypotenuse, you would rearrange the equation to c = √(a² + b²).

For example, if the legs of a right triangle measure 9 and 5 units:

Thus, the hypotenuse would measure approximately 10.3 units, where we use three significant figures for precision in measurement.

Answer:

it will be D

Step-by-step explanation:

To find the bigger number in the given ratio of 3:6 with a sum of 63, simplify the ratio to 1:2, assign a variable to the smaller number, and solve for the larger one. The bigger number is found to be 42.

To find the bigger number when two numbers are in a ratio of 3:6 and their sum is 63, first simplify the ratio to its lowest terms. The ratio 3:6 simplifies to 1:2, since both terms can be divided by 3. Let's assign the variable x to the smaller number, which corresponds to the '1' part of the ratio. Therefore, the bigger number is twice the smaller one, so it can be represented as 2x.

The sum of the two numbers is given by the equation x + 2x = 63. Combine like terms to get 3x = 63. Dividing both sides by 3 gives x = 21. Since 2x represents the bigger number, we have 2x = 2  imes 21 = 42.

Hence, the bigger number in this ratio is 42.

Answer:

2

Step-by-step explanation:

Oscar needs to pack only one type of cd in each box and he must pack the same number of cd's in each box.

To solve this problem we would need to find the greatest common factor of the numbers given; the numbers that we have are 14, 12, 8.

First we are going to find the factors of all these three numbers:

14 = 1 x 2 x 7

12 = 1 x 2 x 2 x 3

8 = 1 x 2 x 2 x 2

The common factors of these three numbers are bolded:

14 = 1 x 2 x 7

12 = 1 x 2 x 2 x 3

8 = 1 x 2 x 2 x 2

We can see that the common factors are 1 and 2. The biggest of them is 2.

Therefore, the greatest number of cd's Oscar can pack in each box is 2

Since 2 is common to them all, hence the greatest number of cds oscar can pack in each box is 2 CDs

Given the number of cars needed to ship 14 rock CDs, 12 classical CDs, and 8 pop CDs

In order to get the greatest number of cds oscar can pack in each box, we will have to calculate the GCF of each value as shown:

The prime factors of each value is as shown

14 = 2 * 7

12 = 3 * 2 * 2

8 = 2 * 2 * 2

From the factors, we can see that only 2 is common to them all, hence the greatest number of CDs oscar can pack in each box is 2 CDs

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One of the factors of 54xy + 45x + 18y + 15 is b) 6y + 5.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given,

54xy + 45x + 18y + 15.

= 54xy + 18y + 45x + 15.

= 18y(3x + 1) + 15(3x + 1).

= (3x + 1)(18y + 15).

= (3x + 1)(3)(6y + 5).

So, a factor of 54xy + 45x + 18y + 15 is (6y + 5).

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7x10^-5 as a decimal is 0.00007, achieved by multiplying 7 by 0.00001, which represents 10^-5.

To convert 7x10^-5 into decimal form, you can use the concept that a negative exponent indicates the inverse. This means that 10^-5 is the same as 1/10^5 or 1 divided by 100,000. Thus, to find 7x10^-5 in decimal form, you multiply 7 by 0.00001.

Here's the calculation:

7 x 0.00001 = 0.00007

Therefore, 7x10^-5 in decimal form is 0.00007.

Answer:  [tex]\dfrac{8}{9}[/tex]

Step-by-step explanation:

Given : Marty has saved $72. He spent $8 on a video rental.

i.e. The amount of money he saved = $72

The amount of money he spent on video rental = $8

Now, the amount of money he had left = [tex]\$72-\$8=\$64[/tex]

Thus , the ratio that represent what portion of his savings he has left :-

[tex]\dfrac{64}{72}=\dfrac{8}{9}[/tex]

Hence, the ratio that represent what portion of his savings he has left :-

[tex]=\dfrac{8}{9}[/tex]

The solution to the equation -4[x + 5] = -16 is x = -1.

To solve the equation -4[x + 5] = -16 for x, we will follow these steps:

First, we need to isolate the term with the variable. We can start by dividing both sides of the equation by -4 to get rid of the coefficient:

-4[x + 5] / -4 = -16 / -4

Simplifying both sides, we get:

x + 5 = 4

Next, solve for x by subtracting 5 from both sides:

x + 5 - 5 = 4 - 5

Simplifying this, we find:

x = -1

Answer:

Option D - $6312.38

Step-by-step explanation:

Given : If you were to place $5,000 in a savings account that pays 6% interest compounded continuously.

To find : How much money will you have after 4 years?

Solution :

Using compound interest formula,

[tex]A=P(1+r)^t[/tex]

Where A is the amount,

P is the principle P=$5000  

r is the rate r=6%=0.06

t is the time t= 4 years

Substitute the value,

[tex]A=P(1+r)^t[/tex]

[tex]A=(5000)(1+0.06)^4[/tex]

[tex]A=(5000)(1.06)^4[/tex]

[tex]A=5000\times 1.262[/tex]

[tex]A=6312.38[/tex]

The money he have after 4 years is $6312.38

Therefore, Option D is correct.

Answer:

A. $6,356.25

Step-by-step explanation:

To calculate the amount of money you will have after 4 years in a savings account with continuous compounding, we can use the formula:

A = P * e^(rt)

Where:

A = the amount of money accumulated after t years

P = the initial principal amount (in this case, $5,000)

e = the base of the natural logarithm (approximately 2.71828)

r = the annual interest rate (in decimal form, so 6% becomes 0.06)

t = the number of years (in this case, 4)

Plugging in the values, we get:

A = 5000 * e^(0.06 * 4)

Using a calculator, we can evaluate this expression:

A ≈ 5000 * 2.71828^(0.24)

A ≈ 5000 * 1.276281

A ≈ 6381.405

Rounding to the nearest cent, the amount of money you will have after 4 years is approximately $6,381.41.

Therefore, the closest answer option is A. $6,356.25.

Answer:

h(x) = 2x2 + 14x – 60      (D)

Step-by-step explanation:

The quadratic function that represents h(x) with roots at 3 and -10 is h(x) = x^2 - 7x - 30 since it correctly reflects the sum and product of its roots.

The question asks us to find which function could represent h(x), given that h(3) = h(–10) = 0. This means the quadratic function has roots at x = 3 and x = -10. A quadratic function with these roots can be written as h(x) = a(x - 3)(x + 10), where a is a non-zero coefficient.

By expanding this expression, we would get h(x) = a(x^2 + 7x - 30). We can then see if any of the given options matches this form upon factoring out the leading coefficient.

Comparing the given options:

Therefore, the correct function that could represent h(x) is h(x) = x^2 - 7x - 30.