A woman has a total of 14000 to invest. She invests part of the money in an account that pays 5% per year and the rest in an account that pays 9% per year. If the interest earned in the first year is 940 how much did she invest in each account

Step-by-step explanation:

yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.

these are the 2 positive integer factors.

if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.

if the number can be divided without remainder by another number, then we are not dealing with a prime number.

but if your teacher did not have these default factors in mind, then no :

example : 15

15 has only 2 factors : 3 and 5.

both are positive integer numbers.

and yet 15 is not a prime number.

but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.

The factor of the expression 9t – 3u will be 3 and 3t – u.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of numbers and symbols and the procedures for using these symbols in formulae.

The expression is given below.

⇒ 9t – 3u

Simplify the expression, then we have

⇒ 3·3t – 3u

⇒ 3(3t – u)

The factor of the expression 9t – 3u will be 3 and 3t – u.

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Missy will need a minimum of 570 square inches of wrapping paper to completely cover the box.

To calculate the minimum amount of wrapping paper needed to cover the box, we need to find the surface area of the box.

A rectangular box has six sides: a top, a bottom, two sides, and two ends.

The top and bottom sides have the same dimensions, which are 17.5 inches by 10 inches. So each of these sides has an area of 17.5 in × 10 in = 175 square inches.

The two side surfaces also have the same dimensions, which are 17.5 inches by 4 inches.

Each of these sides has an area of 17.5 in × 4 in = 70 square inches.

The two end surfaces have the same dimensions, which are 10 inches by 4 inches. Each of these sides has an area of 10 in × 4 in = 40 square inches.

To find the total surface area of the box, we add up the areas of all six sides:

175 in² (top) + 175 in² (bottom) + 70 in² (side 1) + 70 in² (side 2) + 40 in² (end 1) + 40 in² (end 2)

Total surface area = 570 in².

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Answer:

Step-by-step explanation:

( ),(1),(3),(5),(1,3),(1,5),(3,5)

Answer:

Step-by-step explanation:

16ft(13ft)(b/26ft^2)=8b

So he’ll need 8 bags

See angle AOC.

It starts at the horizontal 180 degrees and goes to 150 degrees.

It is an acute angle.

Thus, it's measure is:

180 - 150 = 30 degrees

Thus,

Now, see angle COE.

It starts at 150 degrees and entends to 40 degrees. It is an obtuse angle (greater than 90). Thus, the angle is:

150 - 40 = 110 degrees

Thus,

Answer:

8n-25=15+3n

Step-by-step explanation:

We can do this by working backwards and making suitable substitutions.

If n=8

Multiply both sides of the equation by 5

5n=8*5

5n=40

Now, we can rewrite the two sides of the equation as follows

Thus:

5n=40 is equivalent to:

8n-3n=25+15

Add 3n to both sides

8n-3n+3n=25+15+3n

8n=25+15+3n

Subtract 25 from both sides

8n-25=25-25+15+3n

We have:

8n-25=15+3n

Solving this equation will have a solution of n=8.

Answer:

a)

slope = (-4 cm) / (650 cm)

slope ≈ -0.00615

b)  the section of the road measured horizontally is approximately 3983.74 cm long.

Step-by-step explanation:

change in horizontal distance = (change in vertical distance) / slope

change in horizontal distance = (-24.5 cm) / (-0.00615)

change in horizontal distance ≈ 3983.74 cm

Answer:

Step-by-step explanation can’t because he might pull out more than 10 dollars or less than 10 dollars.

Answer:

To evaluate a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers).

Here is a variable expression: 3x+7.

To evaluate this expression when x=2 mean to substitute 2 in place of x, and find the number (the value). [see note below]

3(2)+7=6+7=13.

When x=2, the expression has a value of `13.

If we evaluate the same expression when x=10, we get:

3(10)+7=30+7=37.

Here's a variable expression with two variables : 3x−2y

In order to evaluate this expression, we'll need values (numbers) for both x and y.

Evaluate the expression 3x−2y when x=4 and y=5

3(4)−2(5)=12−10=2

If we change the values to x=5 and y=4, we get

3(5)−2(4)=15−8=7.

Note:

To avoid saying exactly the same thing over and over, we use the following to mean the same thing:

evaluate the expression when x=2

evaluate the expression for x=2

evaluate the expression at x=2

evaluate the expression assuming x=2

evaluate the expression if x=2

Also

If there is only one variable in an expression, we don't always need to mention it:

evaluate the expression for 2

evaluate the expression at 2

The midpoint of the given endpoints is (0,4).

From the graph:

points are (-4,4) and (4,0)

Midpoint = (x1+x2 / 2 , y1+y2 / 2)

= (-4+4 / 2 , 4 + 4 / 2)

= (0/2 , 8/2)

= (0,4)

Therefore the midpoint of the given endpoints is (0,4).

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Answer:

Undefined

Step-by-step explanation:

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

Answer:

$ 7770.81

Step-by-step explanation:

2.5 % each year means the car retains  97.5 % ( or .975 in decimal)  of its value per year

    8599 ( .975) ^4  = $ 7770.81

Answer:

Simple to help us improve our lives

Answer:

To do good in school

Step-by-step explanation:

the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.

Answer:

\(\huge\boxed{y=5-\frac{2}{3}x}\)

Step-by-step explanation:

With the equation \(\displaystyle 2x+3y=15\), we can solve for y by algebraically manipulating the question until we have y isolated on one side.

It's important to note that if we do something to one side, we have to do it to another. Just as \(5=5\), adding two to both sides still makes it true \(5+2=5+2, 7=7\).

Therefore, this equation for y is \(\displaystyle y = 5 - \frac{2}{3}x\) .

Hope this helped!

2x + 3y = 15

3y = 15 - 2x

y = 15 - 2x/3

The largest size of a team according to the task content is; 20 kids.

It follows from the task content that the population is; 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class.

However, since, the team forming condition states that students be placed on teams of equal size with students from only their own class.

It therefore follows that the largest size of a team is 20 as only 20 students are in Mrs. Tanya's class hence leaving 4 kids in Mrs. Olga's class without a team.

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The sample distribution is approximately normal with a mean of 10 and a standard deviation of 1.

The distribution is slightly skewed to the left, with a slightly higher probability of lower readings than higher readings.

(b) If the sample minimum is lower than 9, this would indicate that the thermostat manufacturer's claim is false. This is because the manufacturer claims that the temperature will not go below 10 degrees, but the sample minimum of 9 suggests that it does. The probability of observing a sample minimum of 9 or lower is 0.25, which indicates that the probability of the temperature dropping below 10 degrees is relatively high.

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Answer:

The graph shows a distribution of data.

A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.

What is the standard deviation of the data?

0.5 <<<------- CORRECT ANSWER

1.5

2.0

2.5

Step-by-step explanation:

EDGE 2021

The standard deviation of the data is,

σ = 0.5

An expression which is defined as the collection of the numbers,  variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.

Now,

We have in the graph, there is bell-shaped along x =2.

Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.

Since, The graph is symmetric around x = 2,

Hence, the mean of the data is 2.

And, The point immediate left to the mean represented by x - σ

Hence, We get;

2 - σ = 1.5

So,

σ = 0.5

Thus, The sigma represents standard deviation.

σ = 0.5

Hence, Option A is correct.

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Answer: D

Step-by-step explanation:

Answer:

Derivative of any constant is zero

you can solve it by first derivative rule

Answer:

Derivative of any constant is zero

Step-by-step explanation:

Answer:

6z + 78

Step-by-step explanation:

6(10+z+3)

=(6)(10+z+3)

=(6)(10)+(6)(z)+(6)(3)

=60+6z+18

=6z+78

Answer:

60+60z+18

60z+60+18

60z+78

Answer:

The answer is -14.

Step-by-step explanation:

16-30

-(30-16)

=-14.

Hope that helped!

Answer: Landing on X and heads, landing on Y and heads, landing on Z and heads, landing on X and tails, landing on Y and tails, landing on Z and tails

Step-by-step explanation:

       There are three possible spinner options and 2 possible coin options. 3 * 2 = 6, leading to 6 possible outcomes.

       The spinner could land on X, Y, or Z.

       The coin could land on heads or tails.

       If we type out all of these possibilities (each spinner section and heads, each spinner section and tails) we end up with;

       ➜ Landing on X and heads

       ➜ Landing on Y and heads

       ➜ Landing on Z and heads

       ➜ Landing on X and tails

       ➜ Landing on Y and tails

       ➜ Landing on Z and tails

Answer:

95 is the answer I took the test

Answer:

150 inches squared

Step-by-step explanation:

All sides are 5 x 5 = 25 and there is six of them that makes

25 x 6 = 150

Answer:

\(y = mx + c \\ m = 1 \\ c = 8 \\ y = 1x + 8 \\ y = x + 8\)

Given :-

To find :-

Solution :-

We know that ,

On substituting ,