You have 4 chocolate bars to share equally between you and your 2sisters.

Which equation describes this situation?

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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The proportion of children with an MDI of at least 80 is approximately 0.0062.

Hence, option (c) is the correct answer.

The proportion of children who have an MDI of at least 80 can be found by using a standard normal table.

Now we will find the z-score for 80, and then find the corresponding cumulative probability.

With mean = 100 and

standard deviation = 8,

we have z = (80 - 100) / 8

=> z = -2.5.

Using a standard normal table,

we find that the cumulative probability for z = -2.5 is approximately 0.0062.

The standard normal distribution table is a collection of regions from the standard normal distribution, sometimes referred to as a bell curve, and it shows the size of the region under the bell curve and to the left of a particular z-score to illustrate probabilities of occurrence in a specific population.

The required standard normal table is attached below:

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The probability that you win at most once when the chances of winning are 0.2, if you play the lottery five times and outcomes are independent is 0.7373

Thus the answer is (d) 0.7373

This is a case of Binomial expansion. Here the chances of winning is the probability of successful trial, i.e. 0.2 and thus the probability of failure is (1-0.2) = 0.8. Total number of trials is 5.

Given probability that you win at most once, that is it includes probability of winning once and probability of not winning. So number of successful trial is 1 and 0 in case 1 and case 2.

Probability = 5C0×0.2^{0}×0.8^{5-0} + 5C1×0.2^{1}×0.8^{5-1}  

= 1×1×0.32768 + 5×0.2×0.4096

= 0.73728

≅ 0.7373

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Answer:

You're right its 10

Computer screen looking kinda dirty ngl

Step-by-step explanation:

Answer:

$143.82

Step-by-step explanation:

423 x 0.34 = 143.82

423 + 143.82 = 566.82

Answer:

56.67

Step-by-step explanation:

a 16% tip is left on a 42.50 lunch bill. How much is paid altogether

\(42.50 + 42.50 \times 16\%\)

\( = 42.50 + 42.50 \times 0.16\)

\( = 42.50 + 6.8\)

\( = 49.3\)

$49.30 is paid altogether

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Answer:

In the error term.

Step-by-step explanation:

A simple linear regression is a regression that has only one explanatory variable. It tries to establish the existing relationship between the variable of interest (dependent variable) and the explanatory variable (independent variable).

Since age is the only explanatory variable, other variables such as faminc would be in the error term. The error term exists because the explanatory variable is never able to on its own to predict the dependent variable perfectly.

The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

How to Write 3.15 or 315% as a Fraction?

Decimal    Fraction              Percentage

3.3               66/20                        330%

3.25         65/20                          325%

3.2                 64/20                            320%

3.15             63/20                             315%

3.1                   62/20                               310%

3.70588   63/17                          370.588%

3.5              63/18                                         350%

3.31579       63/19                                     331.579%

3              63/21                                         300%

Answer:

0.500000

Step-by-step explanation:

Answer:

It is non repeating

Step-by-step explanation:

Answer:52 ft.

Step-by-step explanation: If the area of the base of the pyramid is

169

ft

2

then each side of the base is

13

ft

long because the base of the pyramid is a square.

Length of the side,

s

=

√

169

=

13

Iif we take the area of a square

A

=

s

2

where

s

=

13

we get the area of the base to be

169

ft

2

thus proving that each side of the base is

13

ft

long.

So to find the perimeter of the base of the pyramid we use the formula:

P

=

4

s

where

s

=

13

ft

and thus,

p

=

4

⋅

13

ft

=

52

ft

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Check the picture below.

Answer:

Pythagorean theorm

Step-by-step explanation:

A^2+B^2=C^2

c is the long line, a and b are the outside lines

Answer:

for question 13

Step-by-step explanation:

for 14

    x. 150

    y. 15

    z. 150

i cant say that this is totally correct but im taking a educated guess

Answer:

...

Step-by-step explanation:

The lines a and b are parallel and the transversal line c intersects these parallel lines.

The angles in the matching corners are called "corresponding angles" and they are equal.

This means that the following angles are equal

∠1 = ∠10

∠9 = ∠14

∠8 = ∠13

∠2 = ∠11 + ∠12

Since we are given that ∠10 = 77°, then ∠1 must also be 77°

Therefore, the measure of the missing angle ∠1 is 77°

Answer:

(-∞,1)

Step-by-step explanation:

Answer:

$40.52

Step-by-step explanation:

You add the amount of all the t-shirts that Mike bought and subtract it from 100.

"F" represents the value of fresh fruits expoerted in year t.

"t" represents the year.

The relationship described shows the price of the fresh fruit with respect to the year, so "F" is the dependent variable and "t" is the independent variable. You can express this relationship as F(t)

a) F(1995) = 1973

The value inside the brackets is the year, so t=1995

1973 is the price of the fresh fruit exported in the said year.

So, the value of the fresh fruit exported in the year 1995 was $1973 million.

b) F= 1971 when t=1996

The year corresponds to the value of t, in this case is the year 1996.

The cost of the fresh fruit exported corresponds tothe value of F, in this case the price vas $1971 million.

So, the value of the fresh fruit exported in the year 1996 was $1971 million.

c) F(2000)= 2077

This notation can be read in the same way as the expression in intem a.

The value inside the brackets corresponds to the value of t, i.e. is the year.

2077 corresponds to the value of the fruit on the given year.

So, the value of the fresh fruit exported in the year 2000 was $ 2077 milion.

Answer:

91.02

Step-by-step explanation:

the median is 91.02.

Answer:

11+11=11+11 i think

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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