Ayden invests $5500 in two different accounts. The first account paid 9 %, the second account paid 2 % in interest. At the end of the first year he had earned $236 in interest. How much was in each account?


$ ---------at 9 %

$ -----------at 2 %

Answer:

The function would be odd

The answer is neither.

Let's take an odd number and substitute.

Now, let's take an even number.

Since both even and odd numbers are possible, it is neither.

Answer:

Step-by-step explanation:

Answer:   \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)

Step-by-step explanation:

   A regular dice has 6 sides, and only one of those sides side has a six.

        We write probability as;

   \(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)

Hi, there!

 _______

\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)

Here,

» Favourable Outcome(s) -> getting a 6 on a die (1 outcome),  because only one side of a die has a six on it

» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)

So,

\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)

Hope the answer - and explanation - made sense to you,

happy studying!!

                                                                                                        \(\tiny\textit{frozen \ melody}\)

Answer:

Step-by-step explanation:

Not wanting to be trite, i'd still suggest that you use a calculator for routine division.  Round off your answer (quotient) to an appropriate number of decimal places.

For example, 2/3 comes out to 0.66666 ... (repeating decimal).  You might want to round this off to 2 decimal places: 0.67.

The old fashioned "long division" is another method.

       0  .  6

    -----------

3  /   2  .  0   0   0

       0.    0  0    0

   ---------------------

        1.     8

and so on.  You still need to round off the quotient to a suitable number of decimal places.

Answer: B

Step-by-step explanation:

The attached graphic shows that a complete cycle is 80 seconds (orange arrow), the lowest point is 1 meter (green arrow) and the highest point is 23 meters (purple arrow).  Graph B.

Answer:

3.6 repeating or 3 and 2/3

Step-by-step explanation:

I did the work on a calculator.

Answer:

f be it is right

Step-by-step explanation:

okay that is it

After cοmparing the twο rates, we see that Derek reads faster than Sarah since his reading rate is 37.5 wοrds per minute, which is greater than Sarah's reading rate οf 22.5 wοrds per minute.

Tο determine whο reads faster, we need tο cοmpare the reading rates οf Derek and Sarah.

Derek's reading rate in wοrds per minute can be calculated by dividing the number οf wοrds he read by the time he tοοk tο read them:

Derek's reading rate = 225 wοrds / 6 minutes = 37.5 wοrds per minute

Similarly, Sarah's reading rate can be calculated by dividing the same number οf wοrds by the time she tοοk tο read them:

Sarah's reading rate = 225 wοrds / 10 minutes = 22.5 wοrds per minute

Sο, after cοmparing the twο rates, we see that Derek reads faster than Sarah since his reading rate is 37.5 wοrds per minute, which is greater than Sarah's reading rate οf 22.5 wοrds per minute.

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Answer:

Story: Mr. Lanre bought 8 apples for $2. What is the cost of each apple.

Step-by-step explanation:

Given

\(Answer = \frac{1}{4}\)

Required

Write a division story

A division story could be:

Mr. Lanre bought 8 apples for $2. What is the cost of each apple.

Solving the above problem, we have:

\(Apples = 8\)

\(Total\ Cost =\$2\)

The cost of each is:

\(Each = \frac{Total\ Cost}{Apples}\)

\(Each = \frac{2}{8}\)

Simplify fraction

\(Each = \frac{1}{4}\)

Answer: 225

Step-by-step explanation:

Create a ratio part/whole for radians = part/whole for degrees

\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\)      Keep change flip because you are dividing fractions for left side

\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)

\(\frac{5}{8} (\frac{360}{1} ) =x\)

x = 225

The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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Answer:

18 days

Step-by-step explanation:

1 1/4 hours each day and 22 1/2 hours so far, so we divide 22 1/2 by 1 1/4

22 1/2÷ 1 1/4

=45 ÷ 5

2 ÷4

= 45 ×4

2 ×5

= 9×2

= 18

To find the minimum value of the expression y=15(x-25)^2+130, we can set the derivative of the expression equal to 0 and solve for x. This will give us the value of x that corresponds to the minimum value of y.

The derivative of the expression is given by:

dy/dx = 30(x-25)

Setting this equal to 0, we get:

0 = 30(x-25)

Solving for x, we get:

x = 25

Substituting this value into the original expression for y, we get:

y = 15(25-25)^2+130 = 130

Therefore, the minimum value of y is 130, which is achieved when x=25.

RST is not a right triangle.

A Triangle is a polygon with three sides , three angles and three vertices.

It is given in the question that

triangle RST with coordinates R(2, 3), S(4, 4), and T(5, 0)

It has to be determined that if the triangle is a right angled triangle ,

If we plot the triangle on the coordinate plane , it can be easily seen that the triangle is not a right angled triangle ,

It can also be proved by measuring the length of the sides that if the sum of the squares of the sides is equal to the square of the largest side , then it will be a right triangle or not .

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Answer: Im pretty sure its C dude have a wonderful day.

Step-by-step explanation:

The total of people in the Cinco de Mayo parade if there are 140 dancers and these represent the 35% is 400.

This information can be known by using the information given about the dancers and a rule of three.

In this case, we know 140 dancers are equal to 35%. This means:

140 = 35 %

 x    = 100 %

x= 140 x 100 = 35

x= 14000 / 35 = 400

This means 400 are the total people in the parade.

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Answer:

210 m

Step-by-step explanation:

the largest interior angle will be the front of largest side of triangle

A triangular field has boundaries of length 170 m, 195 m and 210 m then the largest interior angle of the triangular field is approximately \(\(37.4^\circ\)\).

To determine the size of the largest interior angle of a triangular field with boundary lengths of 170 m, 195 m, and 210 m using the concept of the Triangle Inequality Theorem and the Law of Cosines.

To find the largest interior angle of the triangular field, let's follow these steps:

1. Triangle Inequality Theorem:

  According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Let's check if this holds true for our given sides:  

  a) \(\(170 + 195 > 210\) (True)\)

  b) \(\(195 + 210 > 170\) (True)\)

  c) \(\(210 + 170 > 195\) (True)\)

    Since all three inequalities are true, the given sides can indeed form a triangle.

2. Law of Cosines:

  The Law of Cosines is a trigonometric formula that relates the sides and angles of a triangle.

It states: \(\(c^2 = a^2 + b^2 - 2ab \cdot \cos(C)\)\), where \(\(c\)\) is the side opposite angle \(\(C\)\), and \(\(a\)\) and \(\(b\)\) are the other two sides.

  In our case, let \(\(a = 195\), \(b = 210\), and \(c = 170\)\) (opposite the angle we want to find). Plugging these values into the formula gives:

  \(\(170^2 = 195^2 + 210^2 - 2 \cdot 195 \cdot 210 \cdot \cos(C)\)\)    

Solve this equation for \\((\cos(C)\)\):

\(\(\cos(C) = \frac{{195^2 + 210^2 - 170^2}}{{2 \cdot 195 \cdot 210}}\)\)

3. Calculating the Angle:

  Now that we have the value of \(\(\cos(C)\)\), we can find angle \(\(C\)\) using the inverse cosine function (cos⁻¹) on a calculator. This will give us the largest interior angle of the triangle.

\(\(C = \cos^{-1}\left(\frac{{195^2 + 210^2 - 170^2}}{{2 \cdot 195 \cdot 210}}\right)\)\)

Calculating this gives \(\(C \approx 37.4^\circ\)\).

The largest interior angle of the triangular field is approximately \(\(37.4^\circ\)\), which means that the corner where this angle is located is the widest among all the corners of the field.

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Answer:

the answer is 2 hours

Step-by-step explanation:

Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

The value of the limit of the function f(x) = x² - 2 is 7.

The value of the limit of the function f(x) = -3x + 15 is -6.

We have,

To evaluate the limit as x approaches 3, we need to find the limit of function f(x) as x approaches 3 from both sides of 3.

First, let's evaluate the limit from the left side of 3:

lim x → 3⁻ f(x) = lim x → 3⁻ (x^2 - 2)

Substituting x = 3 - h (where h approaches zero) gives:

lim h → 0⁺ [(3 - h)^2 - 2]

= lim h → 0⁺ [9 - 6h + h^2 - 2]

= lim h → 0⁺ [h^2 - 6h + 7]

= 7

(since the limit of a quadratic function as h approaches zero is the constant term)

Next, let's evaluate the limit from the right side of 3:

lim x → 3⁺ f(x)

= lim x → 3⁺ (-3x + 15)

= -6

Since the limit from the left side is not equal to the limit from the right side, the limit of f(x) as x approaches 3 does not exist.

Thus,

The value of the limit of the function f(x) = x² - 2 is 7.

The value of the limit of the function f(x) = -3x + 15 is -6.

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Answer:

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

The correct answer is c. mass, height.

If you increase the mass of an object and raise it to a higher height, you will increase its amount of potential energy. Potential energy is directly proportional to both mass and height.

The potential energy of an object in a gravitational field is given by the equation:

Potential Energy = mass * gravitational acceleration * height

By increasing the mass (m) and the height (h), the potential energy (PE) of the object increases:

PE ∝ m * h

Therefore, increasing the mass and height of an object will increase its potential energy.

Answer: - 0.20

Step-by-step explanation:

Given the following :

Sample weights 10.2, 10.5, 9.3, 9.8, 10

Sample mean: ΣX / n

n = number of observations = 5

Sample mean (m)= (10.2+10.5+9.3+9.8+10) / 5= 49.8 / 5 = 9.96

Population mean (p) = 10.0

Standard deviation (sd) = 0.45

T statistic = (m - p) / sd/sqrt(n)

Tstatistic = (9.96 - 10) / 0.45÷sqrt(5)

= - 0.04 / 0.2012461

= - 0.1987

= - 0.20

Answer:

+.20 or -.20

Step-by-step explanation:

Answer:

No,the ray AB and BA are not same because the ray AB denotes the ray(light) is coming from the direction through A while the ray BA denotes the ray is coming from the direction through B.

Answer:

8% of $15,000 = .08 × $15,000 = $1,200

Answer:

First, we need to find the total volume of the spherical tank. We can use the formula for the volume of a sphere:

V = (4/3)πr³

We are given that the radius is 1 foot, 6 inches, which is 1.5 feet.

V = (4/3)π(1.5)³

V ≈ 14.14 ft³

To find the volume of propane in the tank when it is filled to 80%, we multiply the total volume by 0.8:

V_propane = 0.8 × 14.14

V_propane ≈ 11.31 ft³

We are also given that the tank contains 7,741,000 Btu of energy. To find the energy per gallon, we need to know how many gallons are in the tank. One gallon is equal to 231 cubic inches.

1 ft³ = 12³ = 1,728 in³

11.31 ft³ = 11.31 × 1,728 in³

11.31 ft³ ≈ 19,536 in³

19,536 in³ ÷ 231 in³/gal ≈ 84.5 gallons

So, the tank contains approximately 84.5 gallons of propane. To find the energy per gallon, we divide the total energy by the number of gallons:

7,741,000 Btu ÷ 84.5 gal ≈ 91,580 Btu/gal

Therefore, 1 gallon of liquid propane in the tank contains approximately 91,580 Btu of energy.

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Answer:

Step-by-step explanation:

See the attached file .