Hollie takes out a loan of £800. This debt increases by 26% every year. How much will Hollie owe in 12 years?

Give your answer in 1dp

Step-by-step explanation:

form the quadratic equation

solve for x by the use of completing square method.

Answer:

in the 4 th square its 2x -3

Step-by-step

go to 2 in the forth square then go down to -3

Step-by-step explanation:

The 2 in 2x is the slope. You can also think of it as 2/1. The -3 is the y-intercept. This is the number that the graphed line touches on the y-intercept.

So, you could start at (0,-3), then use the slope to plot the next point. Graph the next point by going up two boxes from (0,-3), and then going one box to the right. It should look like this:

Answer:

252

Step-by-step explanation:

because there are 14 chairs at each table => there are: 294/14= 21 (tables)

two chairs will be removed from each table => the number of chairs removed are: 21.2 = 42 (chairs)

the chairs  will be left in the cafeteria are: 294 - 42 = 252( chairs)

When two chairs will be removed from each table, then there would be 252 chairs left in the cafeteria.

Dividend = Divisor × Quotient + Remainder.

For given question,

total number of chairs = 294

there are 14 chairs at each table.

So, to find the number of tables in the cafeteria we need to divide total number chairs by 14.

The number of table would be,

= 294/14

= 21

This means, there are 21 tables.

If we remove two chairs from each table, then number of chairs at each table would be 14 - 2 = 12

So, the total number of chairs left in the cafeteria would be,

= 21 × 12

= 252

Hence, there will be 252 chairs left in the cafeteria.

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Answer:

1088

. . . .c.c.x.c..c. . . . . .

Answer:

Yep, im pretty sure everything is good, good job!

Step-by-step explanation:

D   sin 85         sin 31

   ---------- =     ----------

     b                  9.3

We can use the law of sins

sin B        sin A         sin C

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

b                   a            c

We do not know angle C, but we can calculate it

The angles of a triangle add to 180

A + B + C = 180

64+ 85 + C = 180

149 + C = 180

C = 180-149

C =31

sin B         sin C

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

b                  c

We know B =  85, C = 31, b = unknown and c = 9.3

sin 85         sin 31

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

b                  9.3

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Answer:

7 days

Step-by-step explanation:

So! Ms. Masi earns $11.25 everyday, and is paying her brother back everyday. Let's make an equation to solve for the number of days!

11.25d = 72 (d = # of days)

Now, we have to solve this equation to see how many days (d) it will take Ms. Masi to pay her brother back.

11.25d = 72

÷11.25   ÷11.25 (Divide by "11.25" to get the variable by itself)

d = 6.4

Since, she only gets 1 pay per day, Ms. Masi will have to wait til her 7th day to pay her brother back.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The value or the quotient of 14.95 divided by 65 is 0.23.

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, 14.95 divided by 65.

We know we can write a number as N = DQ + R, where N = number,

D = divisor, Q = quotient and R = remainder.

∴  14.95 divided by 65 is,

14.95 = 65(0.23).

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Answer:

he needs 10 c

Step-by-step explanation:

Jorge needs 10 large c because 6 large salads need 10 tomatoes

Answer:

(2, f(2))

Step-by-step explanation:

f(x) = -3x^2

For point B, the y-coordinate is f(2).

Point B is (2, f(2))

Answer:690

Step-by-step explanation:

690

Answer:  $3,261.

Step-by-step explanation:

The answer is $3,261. Jayden would have more money in his account than Camden because his account pays a higher interest rate and is compounded continuously, which allows more frequent compounding of interest. This means that Jayden's account accumulates more interest than Camden's account over time.

Historical criticism tries to dig into the background of a context or event, Hence, it will most likely take cognizance of the following :

In other to have a good grasp of the underlying facts and theories about a certain topic or context, it is important to have a good knowledge of the background into other not to misconceive the details and hence, give a constructive criticism.

Therefore, political events, Belief and original text are key in performing historical criticism.

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Answer:

The second one

Step-by-step explanation:

Answer:

\(16\ \text{units}\)

Step-by-step explanation:

\(WV=13\ \text{units}\)

\(WY=17\ \text{units}\)

\(\angle VWY=64^{\circ}\)

\(VY=x\)

From cosine rule we have

\(x=\sqrt{WV^2++WY^2-2WV\times WY\cos \angle VWY}\\\Rightarrow x=\sqrt{13^2+17^2-2\times 13\times 17\times \cos 64^{\circ}}\\\Rightarrow x=16.25\approx 16\ \text{units}\)

Length of \(x\) is \(16\ \text{units}\).

Answer:

16 C

Step-by-step explanation:

is right on edge 2021

Answer:

28 cm

Step-by-step explanation:

the unmarked angle is 32°

180°-90°-58°=32°

cos(32°)=\(\frac{24}{c}\)

c=\(\frac{24}{cos(32\textdegree)}\)

=28.3

≈28

The required plant grew 9 centimeters in the sixth week.

Let x be the number of centimeters the plant grew in the sixth week.
To estimate x, we can use the formula for the mean (average) of a set of numbers:

mean = (sum of numbers) / (number of numbers)

We know the mean for 6 weeks is 9, so we can write:

9 = (13 + 6 + 10 + 5 + 11 + x) / 6

Multiplying both sides by 6, we get:

54 = 45 + x

Subtracting 45 from both sides, we get:

x = 9

Therefore, the plant grew 9 centimeters in the sixth week.

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Answer: 32.6%

Step-by-step explanation:

percentage is whatever number you have x100 which would move the decimal point right 2 points and in this case would move the decimal from .326 to 32.6

Answer: 88.2 and 1.8 degrees.

Step-by-step explanation: well complementary angles mean it adds up to 90 degrees, so 90-86.4= 3.6. then just take that divided by two, and you get 1.8. so then add the 1.8 to the 86.4 to get 88.2 and 1.8 degrees.

Yes it is a function because there are not any repeating x values ( first number in each set of parentheses)

Answer:

it would be 12x 26y doe to the problem

The given scatter plot shows a negative association.

Therefore, the given scatter plot shows a negative association.

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Answer:

Negative

Step-by-step explanation:

Regression to the mean and selection bias are the superfluous variables that are removed by randomly choosing schools for the experiment and control groups.

A statistical phenomenon known as regression to the mean (RTM) states that if a random outcome of any measurement or event is severe in the first example, the second or following outcomes will be less extreme. In other words, it will be somewhat near to the distribution's mean or center.

According to regression to the mean (RTM), if an experiment's first result is extreme, the second result will be more in line with the population mean.

Decisions are made incorrectly as a result of this prejudice.

To mitigate the detrimental impacts of regression to the mean, organizations can exercise critical thinking and undertake a randomized controlled trial (RCT) with an experimental group and a control group.

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Answer:

0.234

Step-by-step explanation:

Given that:

Proportion, (p) ; Islanders beat rangers = 5/6 = 0.8333

Probability that islander win exactly 5 out of 7 games

1 - p = 0.1667

Usingbthe binomial distribution formula :

P(x =x) = nCx * p^n * (1 - p)^(n - r)

P(x = 5) = 7C5 * 0.833^5 * 0.1667^2

P(x = 5) = 21 * 0.833^5 * 0.1667^2

P(x = 5) = 0.23405369484362783281917

P(x = 5) = 0.234

Answer:

\(R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)\)

Step-by-step explanation:

Let the coordinate of the points W, V and R are \((x_1,y_1), (x_2,y_2),\) and \((x_s,y_s)\)respectively.

The coordinate of the section point, \((x_s,y_s),\) which divides the line joining the two points \((x_1,y_1)\) and \((x_2,y_2)\) in the ration \(m:n\) is

\(x_s=\frac {nx_1+mx_2}{m+n}\) and

\(y_s=\frac {ny_1+my_2}{m+n}\).

The given ration is, \(m:n=3:4\)

\(R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)\)

\(=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)\).

The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Steve runs \(\frac{3}{8}$\) of a mile each day.

For instance, traveling at 60 mph equates to traveling 60 miles per hour. There are an hour in 60 minutes, so partition the miles by that sum, and presto! One mile can be covered in one minute.

Victor runs \(\frac{1}{2}$\) of a mile each day.

Steve runs \(\frac{3}{4}$\) of the distance that Victor runs, which is \(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$\) of a mile.

Therefore, Steve runs \(\frac{3}{8}$\) of a mile each day.

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When a researcher conducts an analysis of variance (ANOVA) and finds that the F-test statistic is statistically significant, it means that there is a significant difference between the means of the groups being compared. In other words, at least one of the group means is significantly different from the others.

However, it is important to note that a significant F-test does not provide information about which specific group means are different. To determine which groups differ from each other, post-hoc tests or pairwise comparisons are typically conducted.

Therefore, the researcher can conclude that there is evidence to suggest that there are differences in the means of the groups being compared. Further analyses or comparisons are needed to determine the specific nature of these differences and which groups are significantly different from each other.

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The required number of years that will take 27 years for the population to reach 26600 is 27 years.

Simply put, a percentage is a division by 100. Both the fractional and decimal forms of the expression are valid. When we say 25%, for instance, we are referring to 25 out of 100. Therefore, 25% is represented as the fraction 25/100, or 0.4, in decimal form.

Let x be the number of years that have passed since the town had a population of 8000. The population after x years can be modeled by the function:

P(x) = 8000 * (1 + 0.05)^x

where P(x) is the population of the town after x years.

We want to find x when P(x) = 26600, so we can solve for x:

26600 = 8000 * (1 + 0.05)^x

26600 / 8000 = (1 + 0.05)^x

3.325 = (1 + 0.05)^x

Using the natural logarithm, we can solve for x:

x = log(3.325) / log(1 + 0.05)

x ≈ 27.34

Rounding to the nearest year, the answer is 27 years. So it will take 27 years for the population to reach 26600.

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Answer:

1200.5

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

I= 7000(.0245)(7)

I=1200.5

Answer:

1,200.5

Step-by-step explanation:

Simple interest is

I = Prt,

where I is the interest earn after t years, P is the initial money , r is the rate

I = 7000*.0245*7 = 1,200.5

1,200.5 is the interest after 7 years

This means that the answer is D.

In everyday speech, the term "probability" refers to the likelihood that a specific event (or set of events) will take place, expressed as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty). Statistics is the study of occurrences that follow a probability distribution.

The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

According to the given question:-

Even though there aren't any actual options for this question, figuring out the right response should be simple. The quantity of numbers that will be listed is the "probability of success" that is being discussed here. We simply need to select the option with 8 of the 10 mentioned numbers since an 80% likelihood is what is being sought. This indicates that the solution is D. Hope this is useful!

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Answer:

Step-by-step explanation:

The rectangular coordinate form of a complex number is represented by the formula z=a+bi. The real axis is the horizontal one, and the imaginary axis is the vertical one. In terms of r and, where r is the vector's length and is the angle it makes with the real axis, we determine the real and complex components.

Rectangular form;-

Rectangular form, on the other hand, is where a complex number is denoted by its respective horizontal and vertical components. In essence, the angled vector is taken to be the hypotenuse of a right triangle, described by the lengths of the adjacent and opposite sides.

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