I would REALLY appreciate some help on this:

£1500 is invested at 12% per annum
(a) Work out the interest at the end of 1 year.
(b) How much interest will be earned at the of 5years.

Answer:

sin

Step-by-step explanation:

sin=O opposite/hypotenuse

Answer:

The student will have $145

Step-by-step explanation:

The student would already have $100 and if you take 15 times the number of weeks, 3 weeks. 15 times 3 is $45. $100 + $45 = $145

Answer:

D. $145

Step-by-step explanation:

In order to find out the answer to the equation 100 + 15w = ? we have to multiply 15 by the 3 weeks the student has saved up 15 dollars to get the total money they have saved by saving 15 dollars per week:

15 * 3 = 45

we then add the 100 dollars that was already saved up to 45

100 + 45 = $145

So after 3 weeks $145 have been saved up

Hope this helps!!!

Answer:

he spent 166 minutes baking pot pies in October

Answer is 73.1 % yay wow that is really cool holy cow amazing

p.s its not

The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.

The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated  instead of the radius, we have  to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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Answer:

n = 5

Step-by-step explanation:

7n - 4 = 31

7n = 35

n = 5

You can double check your answer by substituting n with 5.

7(5) - 4 = 31

35 - 4 = 31

31 = 31

Answer:

I don't understand either so I can't help

The base in the exponential function is greater than 1 because exponential growth is defined as a constant multiplication of the original value, rather than a constant addition as in linear growth. A base greater than 1 results in a growth rate that increases over time, while a base less than 1 results in a growth rate that decreases over time.

The exponential function is written as bˣ, where b is the base and x is the exponent. The base is the number that is being multiplied by itself a certain number of times, as determined by the exponent.

A base greater than 1 means that the value of the function is increasing at an increasing rate. This is because as the exponent (x) increases, the base (b) is being multiplied by itself more and more times, leading to a larger and larger result. This is known as exponential growth.

On the other hand, a base less than 1 means that the value of the function is decreasing at an decreasing rate. This is because as the exponent (x) increases, the base (b) is being multiplied by itself more and more times, leading to a smaller and smaller result. This is known as exponential decay.

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The system of  equations can be used to find the cost of a  night's stay and the cost of a meal is:

2n + 5m = $395

5n + 11m = $959

Simultaneous equations are two or more groups of equations. These equations have to be solved together at the same time in order to determined the required valued. The two above equations have to be solved in order to determine the cost of  a  night's stay and the cost of a meal.

The methods of determining the required values are:

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Answer:

equation could represent the total cost (y), in dollars, for x teacher ... first 3 days she takes care of a dog and $25 for each day thereafter..... An amusement park has a group rate.

Answer:

c=175n

Step-by-step explanation:

Answer:

fred had 58 marbles

Step-by-step explanation:

peter= x marbles

Fred= x²-6

together= 66 marbles

(x²-6) +x=66

x=8

Fred had 58 marbles

Answer:

3x

Step-by-step explanation: The GCF is the greatest number you can use to factor that equations and the greatest number is 3x.

Answer:

3x

Step-by-step explanation: 3 is the greatest common factor

Answer:

\(y=1\frac{1}{3} x\)

Step-by-step explanation:

Since the line goes through the origin and is propotinal, we just do y/x

4/3= 1 1/3

y=1 1/3x

CHECK (Using desmos)

Answer:

(-2x - 6)

Step-by-step explanation:

The given expression is ( 3x - 5 ) - ( 5x + 1 )

We have to simplify the given expression

First we will open the bracket having negative notation outside.

( 3x - 5 ) - 5x - 1

3x - 5 - 5x - 1

Now we will collect the similar terms together.

3x - 5x - 5 -1

-2x - 6

So the simplified form of the expression is (-2x - 6)

Answer:

8x - 4

Step-by-step explanation:

queifnsldnalbdejsjsbsjas

There are 1820 different groups of applicants for 4 management trainee positions, 126 different groups of trainees consisting entirely of women, and a 0.0692 probability that the trainee class will consist entirely of women.

The number of different groups of applicants that can be selected for the four management trainee positions can be calculated using the combination formula:

nCr = n! / (r! * (n-r)!)

where n is the total number of applicants (16 in this case) and r is the number of positions to be filled (4 in this case).

So the number of different groups of applicants that can be selected is:

16C4 = 1820

Therefore, there are 1820 different groups of applicants that can be selected for the four management trainee positions.

The number of different groups of trainees that would consist entirely of women can be calculated using the combination formula again, but this time we are selecting all 4 positions from the 9 female applicants:

9C4 = 126

Therefore, there are 126 different groups of trainees that would consist entirely of women.

Assuming that all groups of four are equally likely to be selected, the probability that the trainee class will consist entirely of women can be calculated by dividing the number of different groups of trainees that consist entirely of women (126) by the total number of different groups of applicants (1820):

Probability = 126 / 1820 = 0.0692

So the probability that the trainee class will consist entirely of women is 0.0692 (rounded to four decimal places).

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Answer:

The distance is 29.3 feet

Step-by-step explanation:

Here, we want to find the distance from the diving board to the bottom of the pool

To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground

Mathematically, we can have this as:

12.4 + 16.9

= 29.3 feet

Answer:

Step-by-step explanation:

its the top left one heres proof

the (images)

The soda left in the bottle is 0.4 liters in a 2-liter bottle.

Let’s understand this with the concept of Ratio.

How does ratio work?

When two objects are related using numbers or amounts, the relationship is known as a ratio.

Initially, we are given that the bottle is 2 liters. From that, Sergio poured ⅘ of the soda.

So, the soda left is the initial quantity- the final quantity

= 2(initial quantity) - ⅘*2(final quantity)

=2 - 1.6= 0.4 liter

So finally, the soda left in the 2-liter bottle is 0.4 liter.

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To "solve for x" is to identify the x value that indicates that the equation is true. We should obtain L.H.S = R.H.S once we figure out the value of x and replace it in the equation .x + 2 = 7

Add 2 to both sides, resulting in x = 5 when x + 2 - 2 = 7 - 2

Re-entering the solution, x = 5, will allow you to verify the answer.

We get 5 + 2= 7.

Because LHS = RHS

Apply mathematical operation to the both the equation's two halves to bring the variable with one side as well as the additional values to the other side in order to find the value of x.

If I were to ask you to find a number for x that satisfied the equation

"x + 1 = 2," you would have to do the same.

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                                "Complete question"

     Find the value of x and use it to solve the problem. x + 2 = 7

Answer:

Yes, if it is a square or rectangle.

Step-by-step explanation:

Answer:

a) x=4

b) y=3

c) 3m-2n

Answer:

The equation is p = (8/3) t + 24

In 2020, we will have about 48 horses.

Step-by-step explanation:

In 3 years  the family increased by 32 - 24 = 8.

So the  constant of proportionality = 8/3.

The required equation is p = (8/3)tx + 24

where p = the population and t is the number of years after 2011.

So in 2020 we can predict that in 2020 the number of horses

=  (8/3) * 9 + 24

= 72/3 + 24

= 24 + 24

= 48.

The profit percentage = 16.3%

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

A(n) Descriptive statistic allows researchers to represent large amounts of data with just one (or a few) numbers

Descriptive statistics are used to summarize data and make it easier to understand. They can be used to describe the central tendency, variability, and shape of a distribution.

Descriptive statistics can be used to describe data in a variety of ways. For example, they can be used to describe the average height of a group of people, the distribution of grades on a test, or the number of people who voted for each candidate in an election.

Hence, the missing phrase is descriptive.

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Answer:

Step-by-step explanation:

Albert:

$1000 earned 1.2% annual interest compounded monthly

= 1000 (1+.001)120

(periodic interest = .012/12 ,n is periods = 10yr x 12 mos)

$500 lost 2% over the course of the 10 years

= 500 (.98)

$500 grew compounded continuously at rate of 0.8% annually

= 500 e^008(10) 10 years interest .008 (in decimal form)

Add these three to see how Albert did with his investments

The balance of Albert is $2159.07; the balance of Marie is $2244.99, the balance of Hans is $2188.35, and the balance of Max is $2147.40. Marie is $10,000 richer at the end of the competition.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To determine the balance of Albert’s $2000 after 10 years :

If the amount of $1000 at 1.2 % compounded monthly,

A = P(1 +r/n)ⁿ n = 10 years

here P = $1000 and r = 1.2

A = 1000(1 + 0.001)¹²⁰

A = $1127.43

If Albert $500 losing 2%

So 0.98 × 500 = $490

If $500 compounded continuously at 0.8%

So A = P\(e^{rt}\)

A = 500\(e^{0.008\times 10}\)

A = 541.6

So the balance of Albert’s $2000 after 10 years :

Total balance = 1127.43 + 490.00+ 541.64 = $2159.07

To determine the balance of Marie’s $2000 after 10 years:

If 1500 at 1.4 % compounded quarterly,

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

If $500 Marie’s gaining 4 %

So 1.04 × 500 = $520.00

So the balance of Marie’s $2000 after 10 years

Total balance = 1724.99 + 520.00 = $2244.99

To determine the balance of Hans’ $2000 after 10 years:

If $2000 compounded continuously at 0.9%

So A = 2000\(e^{0.009\times 10}\)

A = $2188.3

To determine the balance of Max’s $2000 after 10 years :

If $1000 decreasing exponentially at 0.5 % annually

So A = 1000(1 - 0.005)¹⁰= $951.11

If $1000 at 1.8 % compounded bi-annually

So A = 1000(1 + 0.009)²⁰ = $1196.29

So the balance of Max’s $2000 after 10 years

Total balance = 951.11 + 1196.29 = $2147.40

Therefore, Marie is $10,000 richer at the end of the competition.

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