After 18 months, how much more will a
$2,500 investment make at a 5.5% simple
interest rate than a 4% simple interest rate?

The number of years that it will take for the Valence of the account to be $6500 = 6.9 years

Annual simple interest is defined as the amount of money that is being paid to an individual who invested a specific amount of money for a period of time.

The principal amount = $4000

The rate for earnings= 9%

The simple interest= $6500 - 4000 = 2500

Time = X

Using the formula:

Simple interest = P ×T×R/100

Make T the subject of formula;

T = Simple interest × 100/ P × R

T = 2500 × 100/ 4000× 9

T = 250000/36000

T = 6.9 years

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Answer:

C - 16√5

Step-by-step explanation:

Simply subtract 19 and 3 while keeping √5 the same.

19√5 - 3√5 = 16√5

The sample size used to construct this interval is approximately 13.

To determine the sample size used to construct a 95% confidence interval, we need to use the formula:

n = (Z * σ / E)^2

Where:

n represents the sample size,

Z is the Z-score corresponding to the desired confidence level (in this case, for 95% confidence, Z = 1.96),

σ is the estimated standard deviation of the population, and

E is the margin of error.

In this case, since we are given a confidence interval for a proportion (p), we can use the formula for estimating the standard deviation of a proportion:

σ = sqrt[(p * (1 - p)) / n]

Here, we don't have the value of p, so we will assume the worst-case scenario where p is 0.5. This assumption ensures the maximum sample size needed.

Let's calculate the sample size:

σ = sqrt[(0.5 * (1 - 0.5)) / n]

Plugging in the values, we have:

1.96 * sqrt[(0.5 * (1 - 0.5)) / n] = 0.84 - 0.56

Simplifying further:

1.96 * sqrt[(0.5 * 0.5) / n] = 0.28

Squaring both sides:

3.8416 * [(0.5 * 0.5) / n] = 0.0784

Simplifying:

[(0.5 * 0.5) / n] = 0.0204

Multiplying both sides by n:

0.5 * 0.5 = 0.0204 * n

0.25 = 0.0204 * n

Dividing both sides by 0.0204:

n = 0.25 / 0.0204

n ≈ 12.25

Since the sample size must be a whole number, we round up to the nearest whole number.

Therefore, the sample size used to construct this interval is approximately 13.

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The distance from point AA to BB is 577 ft.

An angle of depression is a measure of an angle formed when an observer views an object below the horizontal plane.

In the given question, let the distance from lighthouse to point AA be represented by x. So that;

Tan θ = opposite/ adjacent

Tan 11 = 137/ x

x = 137/ 0.1944

x = 704.733 ft

Let the distance from the lighthouse to point BB be represented by y, so that;

Tan 47 = 137/ y

y = 137/ 1.0724

y = 127.751 ft

Thus,

x - y = 704.733 - 127.751

                                            = 576.982

The distance between point AA and point BB is 577 ft.

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Answer:

1.)= Elana's mom played 60%.

2.)= Elena's dad payed 187.5 precent :P

Step-by-step explanation:

6x - 11y = - 13 is the the equation of this line in standard form that is option A from the group of choices.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign. Linear equations are classified into three types: point-slope, standard, and slope-intercept. Coefficients, variables, operators, constants, terms, expressions, and an equal to sign are all components of an equation. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other.

Here,

6x - 11y = - 13 is the the equation of this line in standard form that is option A from the set of possibilities.

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Answer:

C

Step-by-step explanation:

Just replaced the x with 5 and check if it is a true statement

Answer: to find the answer you need to

Step-by-step explanation:

Create a table with headings n and an where n denotes the set of consecutive positive integers, and an represents the term corresponding to the positive integers. You may pick only the first five terms of the sequence. For example, tabulate the series 5, 10, 15, 20, 25, . . .

Solve the first common difference of a. Consider the solution as a tree diagram. There are two conditions for this step. This process applies only to sequences whose nature are either linear or quadratic.Condition 1: If the first common difference is a constant, use the linear equation ax + b = 0 in finding the general term of the sequence.

And yeah

Answer:

0.81

Step-by-step explanation:

\(0.01 \times {3}^{4} = 0.01 \times 81 = 0.81\)

The minimum light radius d for the lanterns to light the whole street is the maximum distance between any two lanterns.

The minimum light radius d needed for the lanterns to light the whole street is the maximum distance between any two lanterns. To find this, first we need to calculate the distance between each pair of lanterns. This can be done by subtracting the coordinate of the first lantern from the coordinate of the second lantern. After calculating the distances between each pair of lanterns, we need to find the maximum distance of these. This maximum distance is the minimum light radius d needed to light the whole street. Thus, we can conclude that the minimum light radius d should be equal to the maximum distance between any two lanterns.

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Answer:

b

Step-by-step explanation:

B

Answer:

63.04728546 miles an hour

Step-by-step explanation:

The revised values of the mean and standard deviation are respectively; 154 cm and 5 cm

Let us assume that the number of Patients is denoted as P. We are given;

Mean = 156 cm

We know that mean here is gotten from the formula;

Mean = Total height/number of patients

Thus;

Total Height = 156P  cm

We are told that each height was measured 2 cm more. Thus;

Total height reduction = 2P cm

Thus;

Actual Total Height = 156P - 2P = 154P cm

Mean = 154P/P  = 154  cm

Therefore, as each reading and mean both have shifted by 2 then Standard deviation will remain same as 5cm

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The number of seats available in the small jets and large jet are 63 and 81 respectively.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, Jasper noticed with 2 small jets and 5 large jets, which could seat a total of 531 passengers and 5 small jets and 5 large jets, which could seat a total of 720 passengers.

Let the number of seats available in the small jets and large jet be x and y,

Establishing the system of equations to solve,

2x+5y = 531......(i)

5x+5y = 720.......(ii)

Subtracting the equation (i) from eq(ii)

3x = 189

x = 63

Put x = 63

5(63)+5y = 720

5y = 405

y = 81

Hence, the number of seats available in the small jets and large jet are 63 and 81 respectively.

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The value of r in terms of l and h is,

⇒ r = √((l/2)² + h²)

Now, We can use the Pythagorean theorem to relate r, l, and h as,

Since, The chord of the circle divides the circle into two segments, each with a height of h.

Let's call the segments are A and B.

Then, the length of the chord (l) is equal to the sum of the bases of segments A and B.

Therefore, the length of each base is,

(l/2).

Hence, We can use the Pythagorean theorem to relate r, l/2, and h for one of the segments as;

⇒ r² = (l/2)² + h²

⇒ r = √((l/2)² + h²)

Thus, The value of r in terms of l and h is,

⇒ r = √((l/2)² + h²)

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add all the sides!

[side one] + [side two] + [side three]

[7y + 10] + [7y + 10] + [y - 4]

= 14y + 20 + y - 4

= 15y + 16

hope this helps :) !!

Answer:

15y + 16

Step-by-step explanation:

2(7y + 10) + y - 4

14y + 16 + y

15y + 16

The normal price is gotten by find the 5% discounted price and adding it to the amount paid.

The normal price is  £580

Given Data

Discount = 5%

Amount paid = £551

Let the normal price be x

let us find 5% of x

= 5/100 *x

=0.05x

Hence the discounted amount is £0.05x

We know that the amount paid = Normal Price - Discount

Substituting our data

551 = x-0.05x

551 = 0.95x

Divide both sides by 0.95

x = 551/0.95

x =  £580

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Answer:

GBAGAXCADSASC

Step-by-step explanation:

Answer:

i can't really see image there, so if u write down allits info, i will help u

Answer:

Answer: 7.4 x10^4 because you have to move the decimal to where the first number less then 10.

Step-by-step explanation:

Answer:

this triangle would either be acute triangle or not a triangle. I'm not sure which one of those two. sorry.

Answer:

Step-by-step explanation:

Since a^2+b^2>c^2 this is an obtuse triangle.

64+144>196

The length of the third side of the triangle with a perimeter of 7x + 8 is 2x + 3

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

A triangle is a polygon that has three sides. The perimeter of a triangle is the sum of all the three sides.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

A triangle has a perimeter of 7x + 8. the first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

7x + 8 = 3x + (2x - 5) + side 3

7x + 8 = (5x - 5) + side 3

side 3 = 7x + 8 - (5x - 5)

side 3 = 2x + 13

The length of the third side is 2x + 3

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Using the Binomial probability distribution , the player should choose n= 10 , in order to have the best probability of winning a prize.

We have given that,

the probability of winning a game by the player

= 0.5

let X be number of games won by player .

A player got a prize when he wins 70% of games in a series of n .

we should find out value n such that he wins a prize.

For this we can use, binomial Probability distribution,

a) n = 10

X~Bin(10 ; 0.5)

P(X>7) = ¹⁰C₇(0.5)¹⁰+ -----+ ¹⁰C₁₀ (0.5)¹⁰

= 0.1718

b) n = 20

X~Bin(20 ; 0.5)

P(X> 14 ) = ²⁰C₁₄ (0.5)²⁰ + -----+ ²⁰C₂₀ (0.5)²⁰

= 0.05766

c) n = 100

X~Bin(100 ; 0.5)

P(X> 70 ) = ¹⁰⁰C₇₀(0.5)¹⁰⁰ + ---- +¹⁰⁰C₁₀₀(0.5)¹⁰⁰

= 0.00005

Hence, the player should choose n= 10 in order to maximize the probability of winning prize.

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Answer:

61 bales of hay

Step-by-step explanation:

38 + 61 = 99