Stella is going to invest in an account paying an interest rate of 7% compounded
continuously. How much would Stella need to invest, to the nearest ten dollars, for
the value of the account to reach $1,650 in 9 years?

Answer:

paper = $4 and stapler = $7

Step-by-step explanation:

let p represent paper and s represent stapler, then

3p + 4s = 40 → (1)

5p + 6s = 62 → (2)

Multiplying (1) by 5 and (2) by - 3 and adding will eliminate p

15p + 20s = 200 → (3)

- 15p - 18s = - 186 → (4)

Add (3) and (4) term by term to eliminate p

2s = 14 ( divide both sides by 2 )

s = 7

Substitute s = 7 into either of the 2 equations and evaluate for p

Substituting into (1)

3p + 4(7) = 40

3p + 28 = 40 ( subtract 28 from both sides )

3p = 12 ( divide both sides by 3 )

p = 4

Thus package of paper costs $4 and stapler costs $7

Question: In how many ways can a hand of 10 clubs be chosen from an ordinary deck?

Answer:They have 52 cards in a deck. They have 10 clubs. The chance of pulling one is 27%.  You can pull up to 10 of the clubs since that is how many theyy have.

They have many ways to pull one: First pass them out and see what you have: look through them a pick it up or just buy a single one

Step-by-step explanation:  Byee stay safe: Wear your mask, drink water and stan bts

also can I have brainliest

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Answer:

396

Step-by-step explanation:

if his walls are 11 feet wide and 9 feet tall multiply 11 times 9 which equals 99 times for which equals 396

Answer:

Step-by-step explanation:

V = (4/3)pi (22/2)^3 = (4/3)pi*11^3 ≈ 5572.45 in³

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

Answer:

hello your question is incomplete below is the complete question

Case-Control Calculation Enter only numeric values into the answer line. Place a leading 0 before the decimal and remember to round to two decimal places. Note your answers for the next short essay question. Swine Influenza (SI) is a growing concern at the local Broncoville Health Department in Lawrence, Kansas. You are working for a pharmaceutical company which is developing a human vaccine against SI. You are in charge of testing the vaccine’s effectiveness. You need to determine if one or two doses of vaccine is required to provide immunity. You field test and collect the following information about the vaccine status of persons who did and did not contract SI after getting either one or two doses of vaccine. Develop a 2 x 2 table with the following information: Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine?

1. Calculate the incidence of persons with one dose of vaccine for SI

2. Calculate the incidence of persons with two doses of vaccine for SI

3. Calculate the odds ratio of developing SI among those with one dose of vaccine for SI

answer : 1) ≈ 0.53 , (2)  ≈ 0.21,  (3)  ≈ 1.12

Step-by-step explanation:

cases of SI = 727

number of SI cases that received two doses of vaccine = 203

number of SI cases that received one dose of vaccine = 727 -203 = 524

controls = 1239

number of controls that received two doses of vaccine = 771

number of controls that received one dose of vaccine = 1239 - 771 = 468

I) The incidence of persons with one dose of vaccine for SI

= 524 / 992 = 0.528 ≈ 0.53

2) The incidence of persons with two doses of vaccine for SI = 203/974 = 0.208 ≈ 0.21

3) The Odds of SI in one dose group

=  524/468 = 1.119 ≈ 1.12

The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

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-Here is what we know:

The values of the monthly utility bills in a city are normally distributed

The mean is $100

The standard deviation is $12

Part a)

First, we must find the Z-score for x = $70:

According to the Z-score table, the probability of finding x less than $70 such as z is less than -2.5 is P(Z < -2.5) = 1 - 0.9938 = 0.0062

Part b)

For x = $90, we repeat the same initial steps from part a:

According to the Z-score table, we have P(Z <= -0.83) = 0.2033.

For x = $120, we also have:

According to the Z-score table, we have P(Z < 1.67) = 0.9525

Therefore, the probability that we will fiind a bill valued between $90 and $120 is given by: P(Z < 1.67) - P(Z < -0.83) = 0.9525 - 0.2033 = 0.7492

Part c)

For X = $140, the z score is given by:

According to the Z-score table, we have: P(Z > $140) = 1 - 0.9996 = 0.0004

Answer:

y=2x-2

You use rise/run in this problem

If the scale factor is ½, the image would be reduced.

If the scale factor is 2, the image would be enlarged.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric shape, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (enlargement) or decreased (reduced) based on the scale factor applied.

In Mathematics, the following rules are applied to interpret and understand the dilation of a geometric shape:

An image is enlarged when the scale factor is greater than 1 or 2.

An image is reduced when the scale factor is less than 1 or 1/2.

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Answer:

3.5 inches on the scaled model

Step-by-step explanation:

So using the ratio, 1:90 I thought of two ways to solve this

1) Proportion

2) Equation

Using the proportion method

1:90=x:315

Now cross multiply

315=90x

Now solve and you’ll get 3.5

Equation is just

315/90=X?

Just solve and you’ll also get 3.5

Using the concept of the word problem and utilizing the provided conditions and values, The answer is 18, 20, and 22.

A word problem in mathematics is a problem or exercise that is expressed in a natural language, rather than in mathematical notation. These types of problems often present a real-world situation that involves mathematical concepts, such as numbers, operations, or measurements. They typically require the use of mathematical reasoning and problem-solving skills to understand the problem and find a solution. Examples of word problems include: "If a train travels 60 miles per hour and you want to know how far it will travel in 4 hours", "If a rectangle is 6 meters long and 4 meters wide, what is its area?", "If a bag contains 3 red balls and 4 blue balls, what is the probability of picking a blue ball?"

In a mathematical problem, the conditions refer to the specific information or constraints provided in the problem statement that must be taken into account in order to find a solution. These conditions can include information about the quantities involved in the problem, the operations that need to be performed, or the specific requirements that the solution must meet.

Let x be the smallest of the three consecutive even integers. Then the next two integers are x+2 and x+4. We know that:

x + (x+4) * 3 = 84

Expanding and solving for x:

x + 3x + 12 = 84

4x = 72

x = 18

So the three consecutive even integers are 18, 20, and 22.

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Answer:

For the first question she would get 400 miles total by 5 PM and for the second question, he gets $25 dollars per lawn (at least I think that's what the question means)

Step-by-step explanation:

1st question: Since they get 50 miles per hour because 4-1 equals 3. 350-200 equals 150. 150/3 = 50 miles per hour

2nd question: 100/4 = 25

Answer:

44

Step-by-step explanation:

By pythagorean, we have

\( {5}^{2} = {3}^{2} + {h}^{2} \\ h = 4\)

\(then \: the \: given \: figure \: is \: presenting \: a \: traphozoid \\ so \\ area = \frac{1}{2} \times 4(8 + (11 + 3))\)

\( 44 \: {in}^{2} \)

We know that z varies directly as √√x and inversely as y, which can be written as:

z = k(√√x)/y

where k is the constant of proportionality.

To find the value of k, we can use the values given when x = 25 and y = 7:

179 = k(√√25)/7

179 = k(5/7)

k = (179*7)/5

k = 250.6

Now we can use this value of k to find z when x = 64 and y = 4:

z = 250.6(√√64)/4

z = 250.6(2)/4

z = 125.3

Therefore, z ≈ 125.3 when x = 64 and y = 4.

The solution to the equations for y are y = 9, y = 8 and y = 7

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

y²- 1 = 80

(y - 4)÷ 4 = 1

10 - 63 ÷ y = 1​

Solving the equations, we have

y²- 1 = 80

y² = 81

y = 9

Next, we have

(y - 4)÷ 4 = 1

(y - 4) = 4

y = 8

Lastly, we have

10 - 63 ÷ y = 1​

-63 ÷ y = -9

-9y = -63

y = 7

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Answer:

33/8

Step-by-step explanation:

two negatives equal a positive so this is 5/8 + 7/2. next multiply 7/2 by 4/4 to get 28/8.  28+5=33 so the answer is 33/8

Answer:

36ft^3

Step-by-step explanation:

l x w x h

=6 x 3 x 2

=6 x 6

=36

36ft^3

Answer:

36ft ^3

Step-by-step explanation:

Step 1: V = l × w × h

step 2: V = 3 × 6 × 2

step 3: 18 × 2

step 4: 36ft ^3

Answer:

He needs 15 shirts

Step-by-step explanation:

We can use a ratio to solve

4 pants             6 pants

--------------- = -------------

10 shirts            x shirts

Using cross products

4x = 10 *6

4x = 60

Divide each side by 4

4x/4 = 60/4

x = 15

He needs 15 shirts

The value of x for the chord is:

x = 12

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.

Using the above principle, we can say:

3 * x = 4 * 9

3x = 36

x = 36/3

x = 12

Thus, the value of x for the chord is 12.

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Answer:

12

Step-by-step explanation:

12 - 3 = 9

and

36 divided by 9 = 4

Answer:

36 ÷ ( 12 - 3 ) = 4

Step-by-step explanation:

36 ÷ 4 = 9

9 + 3 = 12

36 ÷ 9 = 4

Answer:

2 units

Step-by-step explanation:

vertical distance will be the magnitude of the difference in the 'y' coordinates

| -.8 - 1.2| = 2 units

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

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Answer:

Top right graph

Step-by-step explanation:

Graph is in attached image.

Answer: a

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

10 times as much

0.001 * 10 = 0.01

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.