Maria invests £4500 in savings account for 3years. The account pays simple interest at a rate of 1.8%per year. work out the total amount of interest she gets by the end of 3years​

Answer:

the commas must go between Witt and not, and Thomas and took.

Step-by-step explanation:

East German figure skater Katarina Witt, not American Debi Thomas, took home the gold medal at the 1988 Winter Olympics

7h-15h+40=-72

40+72=15h-7h

112=8h

h=14

Answer:

1. A arithmetic sequence that starts at 1 and has a common difference of 3

2. A geometric sequence that starts at 1 and has a common ratio of 3

3. 15, 19, 23, 27, 31, ...

4. 3, 27/3, 27, 243/3, 243, ...

5. -2, 16/4, -8, 16, -32, ...

6. 8, 40, 200, 1000, 5000, ...

7. 1432, 143.2, 14.32, 1.432, ...

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

Read more about multipliers:

brainly.com/question/15883095

Answer:

m=14+10.50h

Step-by-step explanation:

h represents hours. m represents how much he makes

he's going to get 14 dollars, plus 10.50 times however many hours he works.

Answer:

Step-by-step explanation:

its a real all whole numbers start with real numbers

This is a credit balance problem. Listed the previous balance, finance charge, new purchases, payments, and credits, the new balance can be calculated by summing up the previous balance, finance charge, and new purchases then subtracted to the sum of payments and credits. Applying this calculation, the new balance for the credit card is

Answer: B. $111.00

Answer:

Therefore, the lower fence is 1.5 and the upper fence is 5.5.

Step-by-step explanation:

To determine the upper and lower fences for a boxplot, we first need to calculate the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1). Then, we can use the following formulas:

Lower Fence = Q1 - 1.5 * IQR

Upper Fence = Q3 + 1.5 * IQR

In the given boxplot, the box extends from 2 to 5, with the median (Q2) at 3.5. The first quartile (Q1) is 3 and the third quartile (Q3) is 4. Therefore, the IQR is:

IQR = Q3 - Q1 = 4 - 3 = 1

Using the formulas above, we can calculate the lower and upper fences:

Lower Fence = Q1 - 1.5 * IQR = 3 - 1.5 * 1 = 1.5

Upper Fence = Q3 + 1.5 * IQR = 4 + 1.5 * 1 = 5.5

Therefore, the lower fence is 1.5 and the upper fence is 5.5.

Answer: Option d.  0.26

Step-by-step explanation:

Since the addition of complementary angles = 90°

75° + x = 90°

x = 90° - 75 °

x = 15°  ( the complementary angle )

sine 15° = 0.25882

             = 0.26 correct to two decimal places

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

Answer:

43m

Step-by-step explanation:

5x8=40m

Cameron's ladder is 3m shorter, so add 3m to 40.

40+3=43m

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

For more references on divisions, click;

https://brainly.com/question/21416852

#SPJ2

Answer:

270 yds squared    

Step-by-step explanation:

You need to area of each of the shapes that make up the triangular prism. So, the side triangles, the back rectangle, the bottom rectangle and the top rectangle.

Side triangle (1x): base*height/2

12*5/2

60/2

30 yds, 60 yds for both sides.

Back rectangle: length*width

5*7

35 yds

Bottom Rectangle: length*width

7*12

84 yds

Top rectangle: length*width

7*13

91 yds.

To get the final answer, you add the surface areas together to get the final amount of yards: 30+30+35+84+91= 270 yds squared. Hope this helps.

Answer:

k = 18

Step-by-step explanation:

6(3k + 15) − 16k = 7k

Distribute

18k +90 - 16k = 7k

Combine like terms

2k + 90 = 7k

Subtract 2k from each side

2k+90-2k = 7k -2k

90 = 5k

Divide by 5

90/5 = 5k/5

18 = k

Answer:

\(k = 18\)

Step-by-step explanation:

\(6(3k + 15)- 16k = 7k \\ 18k + 90 - 16k = 7k \\ 18k - 16k - 7k = - 90 \\ - 5k = - 90 \\ \frac{ - 5k}{ - 5} = \frac{ - 90}{ - 5} \\ k = 18\)

hope this helps

brainliest appreciated

good luck! have a nice day!

The greatest possible value of a b ca b c occurs when aa, bb, and cc are the largest possible digits.

This value can be calculated by subtracting the two largest values of b n b_n from c n c_n for different values of nn and finding the maximum result.

Let's consider the largest possible digits for aa, bb, and cc. Since aa, bb, and cc are nonzero digits, the largest possible digit is 9.

To find the greatest possible value of a b ca b c, we need to find the maximum difference between c n c_n and b n b_n for different values of nn. Since a na n ​ has nn digits with all digits equal to aa, the maximum value of a na n ​ is nn times aa.

For b nb n ​, we have nn digits with all digits equal to bb, so the maximum value of b nb n ​ is nn times bb.

Lastly, for c nc n ​, we have 2n digits with all digits equal to cc. The maximum value of c nc n ​ is 2n times cc.

To find the maximum difference between c n c_n and b n b_n, we subtract b nb n ​ from c nc n ​:

c n - b n = (2n * cc) - (nn * bb)

We can calculate this difference for different values of nn and find the maximum result. The largest possible value of a b ca b c occurs when this difference is maximum.

Please note that specific values of nn, aa, bb, and cc are not provided, so we cannot calculate the exact value. However, the approach described above can be used to find the greatest possible value based on the given conditions.

Learn more about subtracting here:

brainly.com/question/13619104

#SPJ11

Answer:

18°

Step-by-step explanation:

x + 140° + 22° = 180° { being sum of angles of triangle }

x + 162° = 180°

x = 180° - 162°

x = 18°

Hope it will help :)

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

Answer:

this probably isn't right, but with an educated guess it's probably the third answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 7 \(\frac{1}{8}\) or \(\frac{57}{8}\)

Step-by-step explanation:

0.125 = 1/8

Answer:

a. 677

Step-by-step explanation:

Add the three scores, 690+ 691+651 then divide by 3

equals to 677.3 so by rounding to the nearest whole point it’s 677.

The mean credit score of Ned is 677. The correct answer would be option (A).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

The mean credit score of Ned can be calculated by adding all three credit scores and dividing the sum by 3.

So, (690 + 691 + 651) / 3

= 2032 / 3

= 677.33

Rounding to the nearest whole point, we get

= 677

Therefore, the mean credit score of Ned is 677.

Learn more about Arithmetic means here:

brainly.com/question/13000783

#SPJ6

At least 15/16 or 15 out of 16 numbers in the data set must lie within 4 standard deviations from the mean.

Chebyshev's Theorem states that for any set of numbers, the fraction that will lie within k standard deviations of the mean is at least\(1 - 1/k^2\).

In this case, we are interested in finding the fraction of numbers that must lie within 4 standard deviations from the mean. Therefore, k = 4.

Using the formula from Chebyshev's Theorem, we can calculate the fraction:

\(1 - 1/k^2 = 1 - 1/4^2 = 1 - 1/16 = 15/16.\)

Hence, at least 15/16 or 15 out of 16 numbers in the data set must lie within 4 standard deviations from the mean.

for such more question on mean

https://brainly.com/question/14532771

#SPJ8

Question

Chebyshev's Theorem states that for any set of numbers, the fraction that will lie within k standard deviations of the mean is at least 1 - 1/k2. Use this theorem to find the fraction of all the numbers of a data set that must lie within 4 standard deviations from the mean. At least of all numbers must lie within 4 standard deviations from the mean. (Type an integer or a fraction.)

Answer:

PEMDAS

Parentheses and/or exponents, then multiplication and/or division, then +/-

parentheses first: (-4)(-2) - 6(2 - 5) = (-4)(-2) - 6(-3)

multiplication: (-4)(-2) - 6(-3) = 8 - (-18)

addition (subtracting a negative = add): 8 + 18 = 26

your answer is wright the answer of

(-4)(-2)-6(2-5) is 26

The 95% confidence interval for a 1-inch increase in the average parental height is (−3.194, 4.654). To construct a 95% confidence interval for a 1-inch increase in the average parental height, we will need to consider the estimated relationship provided:

Student = 19.6 + 0.73 × Midparh, with SER = 2.0
A 1-inch increase in Midparh corresponds to an increase in Student height by 0.73 inches, based on the given relationship. Using the provided SER (standard error of the regression) of 2.0, you can calculate the 95% confidence interval for the height increase:
± 1.96 × SER = ± 1.96 × 2.0 = ± 3.92
Now, add and subtract this value from the expected height increase (0.73 inches) to find the interval:
Lower bound: 0.73 - 3.92 = -3.19 inches
Upper bound: 0.73 + 3.92 = 4.65 inches
Thus, the 95% confidence interval for a 1-inch increase in the average parental height is approximately (-3.19, 4.65) inches. This means that with 95% confidence, a 1-inch increase in the average parental height could lead to a height increase in students between -3.19 inches and 4.65 inches.

To construct a 95% confidence interval for a 1-inch increase in the average parental height, we need to use the regression equation provided: Student= 19.6 + 0.73×Midparh.
First, we need to calculate the slope coefficient for Midparh, which is 0.73. This means that on average, for every 1-inch increase in Midparh, the height of the student increases by 0.73 inches.
Next, we need to calculate the standard error of the regression (SER), which is 2.0.
To construct the confidence interval, we use the following formula:
Confidence interval = Slope coefficient ± t-value × Standard error
We know that we want a 95% confidence interval, so the corresponding t-value with 998 degrees of freedom is 1.962. Using this value and the slope coefficient and SER we calculated earlier, we can plug in the numbers and get:
Confidence interval = 0.73 ± 1.962 × 2.0
Simplifying, we get:
Confidence interval = 0.73 ± 3.924
Therefore, the 95% confidence interval for a 1-inch increase in the average parental height is (−3.194, 4.654). This means that we are 95% confident that the true effect of a 1-inch increase in Midparh on the height of the student falls within this range.

Learn more about averages here: brainly.com/question/24057012

#SPJ11

Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Answer:

I think 28-29 total fat

Step-by-step explanation: i wish it is help you

When you have samples of n1=12 and n2=15, while performing the pooled-variance t test, you have 25 degrees of freedom.

How to calculate the degrees of freedom for a pooled-variance t-test?

The formula for calculating degrees of freedom for pooled variance t-test is as follows: df = n1 + n2 - 2

Where df stands for degrees of freedom, n1 stands for sample size 1, and n2 stands for sample size 2.

Substitute the given values in the formula to get the degrees of freedom for pooled variance t-test:

df = 12 + 15 - 2df = 25

Hence, when you have samples of n1=12 and n2=15, while performing the pooled-variance t test, you have 25 degrees of freedom.

To learn more about pooled-variance t test visit: brainly.com/question/7653979

#SPJ11

Answer:

(1)
Let x represent the number of HD Big View TV models produced
let y represent the number of MegaTeleBox models produced

(2)
2x + 3y ≤ 192       manpower constraint
x + y = 72             production capacity constraint
x ≥ 0                     Non-negativity constraint
y ≥ 0                     Non-negativity constraint

(3)
See attached graph

Step-by-step explanation:

(1)
Let x represent the number of HD Big View TV models produced
let y represent the number of MegaTeleBox models produced

(2)

Constraints
There are a total of 192 person hours per day to manufacture both models so this is the upper limit on the person-hours resource

Each unit of HD Big View takes 2 person-hours so x units will require 2x person-hours

Each unit of MegaTeleBox   takes 3 person-hours so y units will require 3y person-hours

Total person-hours to produce x and y units
= 2x + 3y
and this cannot exceed 192.

Therefore the first inequality is manpower resource constraint:
2x + 3y ≤ 192     [1]

Total manufacturing capacity is 72 units. The actual total production is
x + y and this cannot exceed 72

Second inequality is
x + y = 72             [2]

In addition the number of units produced cannot be less than zero. These are the non-negativity constraints:
x ≥ 0, y ≥ 0    [3]

Plugging in all these constraints we get the following system of inequalities

2x + 3y ≤ 192       [1]  manpower constraint
x + y = 72             [2]  production capacity constraint
x ≥ 0                     Non-negativity constraint
y ≥ 0                      Non-negativity constraint

(3) See attached graph for this part of the question

The dark shaded region shows the solution set

To show that the company cannot make a negative number of television sets we only consider values on the positive x and y axes