You have realised that instead of reducing your car's short-term insurance ium as its book value decreases, your insurer has actually increased the premium % per year "to keep up with inflation". If your premium started off at R450 per month. have you paid in total after 2 years?​

Answers

Answer 1

To calculate the total amount paid over two years, we first need to determine the annual premium increase percentage. Let's assume the insurer increases the premium by 5% per year to keep up with inflation.

After the first year, the new premium would be:

R450 + (5% of R450) = R472.50 per month

After the second year, the new premium would be:

R472.50 + (5% of R472.50) = R496.13 per month

To calculate the total amount paid over two years, we can use the following formula:

Total amount paid = (monthly premium x 12 months x number of years)

= (R450 x 12 x 2) + (R472.50 x 12 x 1) + (R496.13 x 12 x 1)

= R10,800 + R5,670 + R5,953.56

= R22,423.56

Therefore, you would have paid a total of R22,423.56 over two years.


Related Questions

Company B needs to hire 30 new employees 10% of applicants do not meet the base business requirements 12% applicants do not pass the pre-screening assessment 23% remaining applicants do not show up for the interview and 5% of those remaining applicants feel the background test how many applicants need to apply what is the meet the higher in target

Answers

52 applicants apply, 30 employees will be hired and at least 30 of them will pass the background test.

How to find the total number of applicants?

To determine how many applicants need to apply to meet the hiring target, we need to work backwards from the desired number of hires.

Let X be the total number of applicants needed to hire 30 new employees.

Out of all applicants, 10% do not meet the base business requirements. Therefore, the number of applicants who do meet the base business requirements is:

[tex]$0.9X$[/tex]

Out of these applicants who meet the base business requirements, 12% do not pass the pre-screening assessment. Therefore, the number of applicants who pass the pre-screening assessment is:

[tex]$0.88(0.9X) = 0.792X$[/tex]

Out of these applicants who pass the pre-screening assessment, 23% do not show up for the interview. Therefore, the number of applicants who show up for the interview is:

[tex]$0.77(0.792X) = 0.6108X$[/tex]

Out of these applicants who show up for the interview, 5% fail the background test. Therefore, the number of applicants who pass the background test is:

[tex]$0.95(0.6108X) = 0.58026X$[/tex]

Since we need to hire 30 new employees, we can set this equal to 30 and solve for X:

[tex]$0.58026X = 30$[/tex]

[tex]$X \approx 51.74$[/tex]

Therefore, Company B needs approximately 52 applicants to apply to meet their hiring target.

To meet the hiring target, Company B will need to ensure that at least 30 employees pass the background test. From the above calculations, we know that 0.58026X applicants pass the background test. Therefore, we can solve for X:

[tex]$0.58026X = 30$[/tex]

[tex]$X \approx 51.74$[/tex]

This means that if 52 applicants apply, 30 employees will be hired and at least 30 of them will pass the background test.

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5. A and B !!!I need help with a and b

Answers

The time to reach 125 feet is 1.3 seconds, the time to reach a maximum height of 147.52 ft is 2.5 seconds

How to determine the time to reach 125 feet

From the question, we have the following parameters that can be used in our computation:

h(t) = -16t^2 + 79t + 50

To do this, we set h(t) = 125

So, we have

-16t^2 + 79t + 50 = 125

Using a graphing tool, we have

t = 1.3

So, the time taken is 1.3 seconds

The maximum height and the time to reach this height

We have

h(t) = -16t^2 + 79t + 50

Differentiate and set to 0

-32t + 79 = 0

So, we have

32t = 79

This gives

t = 2.46875

t = 2.5

Next, we have

h(2.46875) = -16 * 2.46875^2 + 79 * 2.46875 + 50

Evaluate

h(2.46875) = 147.52

Hence, the maximum height is 147.52 ft

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Determine the present value P you must invest to have the future value A at, simple interest rate r after time t.
A = $14,000, r = = 8.5%, t = 5 years
The present value that must be invested is $
(Round up to the nearest cent as needed.)
ww an example
Get more help.
Clear all
Check answer
brre

Answers

The present value is $9,824.56.

What is the present value?

Future value is the sum of the present value and the interest earned. When an amount earns a simple interest, it means that the present value grows at a linear rate.

Future value = simple interest + present value

Present value = future value - simple interest

Simple interest in a linear function of the present value, the interest rate and the duration of the investment.

Simple interest = present value x interest rate x time

14,000 - p = p x 0.085 x 5

14,000 - p = 0.425p

14,0000 = 1.425p

p = 14,000 / 1.425

p = $9,824.56

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Identify the terms of the expression. Then give the coefficient of each tern
k - 3d

Answers

Answer:

terms:  'k' and '-3d'

coefficient of 'k' is 1

coefficient of '-3d' is -3

Step-by-step explanation:

if a variable exists by itself then its coefficient is 1, otherwise

whatever value precedes a variable is its coefficient

The ratio of Scott’s age to Georgia’s age to Fiona’s age is 11:6:7 The ratio of Oscar’s age to Georgia’s age is 3:4
Find the ratio of Fiona’s age to Oscar’s age.

Answers

Scott's age is 11x

Georgia's age is 6x = 4y

therefore y=1.5x

Fiona's age is 7x

Oscar's age is 3y

therefore 3(1.5x)=4.5x

Fiona's age: Oscar's age

7x : 4.5x

7 : 4.5

classifying parallelagram

Answers

a. Slope of RS = [tex]-\frac{7}{5}[/tex] and slope of adjacent to RS =  [tex]-\frac{5}{7}[/tex]

b. Length of RS  = [tex]\sqrt{74}[/tex] and Length of adjacent to RS = [tex]\sqrt{74}[/tex]

c. The parallelogram PQRS is Rhombus.

Define the term parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.

[tex]Slope = \frac{(y_{2} -y_{1})}{(x_{2} -x_{1})}[/tex]

a. for the points R (-6, 6) and S (-1, -1)

Slope of RS = [tex]\frac{-1 - (+6)}{-1 - (-6)}[/tex] = [tex]-\frac{7}{5}[/tex]

Slope of RS = [tex]-\frac{7}{5}[/tex]

Slope of adjacent side (RQ, SP) to RS = [tex]\frac{6-1}{-6-1}[/tex] = [tex]\frac{5}{-7}[/tex]

Slope of adjacent to RS =  [tex]-\frac{5}{7}[/tex]

b. Length of a line = [tex]\sqrt{({x_{2}-x_{1})^{2} } + ({y_{2}-y_{1})^{2}}[/tex]

points R (-6, 6) and S (-1, -1)

Length of RS = [tex]\sqrt{({-1- (-6))^{2} } + ({-1-6})^{2}}[/tex] = [tex]\sqrt{74}[/tex]

Length of RS  = [tex]\sqrt{74}[/tex]

Length of adjacent to RS = [tex]\sqrt{({-6- 1))^{2} } + ({6-1})^{2}}[/tex] = [tex]\sqrt{74}[/tex]

Length of adjacent to RS = [tex]\sqrt{74}[/tex]

c. All sides are equal

PQ=QR=RS=SP=√74

So, diagonal PR = [tex]\sqrt{({-6- 6))^{2} } + ({-6-6})^{2}}[/tex] = [tex]12\sqrt{2}[/tex]

and  diagonal QS = = [tex]\sqrt{({-1- 1))^{2} } + ({-1-1})^{2}}[/tex] = [tex]2\sqrt{2}[/tex]

Diagonals are unequal then parallelogram PQRS is Rhombus.

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Find the midpoint of A and B where A has coordinates (-7, 1) and B has coordinates (3, -5).​

Answers

Answer:

Midpoint of AB is (-2,-2)

Step-by-step explanation:

thats the answer

PLEASE THIS IS URGENT SOMEONE GAVE THE ANSWER

Answers

Answer: what's so urgent?

Step-by-step explanation:

Find the area of this composite shape. Include correct units. Show all your work.

Answers

The Area of Composite figure is 131cm² we can find it by dividing the figure in two parts.

What is Rectangle?

Rectangle is a plane which one side is long and other side is short and and all angle between these sides are 90° and opposite sides are parallel to each other.

We can divide this figure in two part Rectangle and Triangle.

The Rectangle having length = 10 cm and breadth = 5 cm.

Whereas, Triangle have sides having length 6cm (Base) and 3 cm (Perpendicular).

[tex]Area\ of\ Rectangle = Length (l) * Breadth (b)[/tex]

= 10 x 5 cm²

= 50 cm².

[tex]Area\ of\ Triangle =\frac{1}{2} *b*h[/tex]

For this we have to find third side,

[tex]Third\ Side = \sqrt{(First\ Side)^{2} +(Second\ Side)^{2} }[/tex] ( Using Pythagoras Theorem)

[tex]Third\ Side = \sqrt{(6)^{2} +(3)^{2} }[/tex]

Third Side = 6.7 cm

[tex]s= \frac{a + b + c}{2}[/tex] , where a, b, c are three sides

[tex]= \frac{6.7 + 6 +3}{2}[/tex]

= 7.85 cm.

Now we use Heron's formula to find the area of triangle,

Area of Triangle = [tex]\sqrt{s\ (s-a)\ (s-b)(\ s-c)}[/tex][tex]=\sqrt{7.85\ (7.85-6.7)\ (7.85-6)\ (7.86-3)}[/tex]

= 81 cm²

So the Area of Composite figure = (50 + 81) cm²

= 131 cm²

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Question
Which of the following statements is MOST LIKELY TRUE?

A-The lower half of Sample A's data is closer to the value 5 than the lower half of Sample B's data.

B-Both of the data sets range from 1 to 10 on the number line.

CThe upper half of Sample A's data is closer to the value 10 than the upper half of Sample B's data.

D-The data in Sample B is clustered around the center where Sample A is more spread out

Explain

(Real answers no bots)

Answers

Answer:

D-The data in Sample B is clustered around the center where Sample A is more spread out

Step-by-step explanation:

maybe sorry if wrong

2x + 3y=27x what is the value of x

Answers

Answer:

[tex]{ \tt{2x + 3y = 27x}} \\ { \tt{27x - 2x = 3y}} \\ { \tt{25x = 3y}} \\ \\ { \tt{x = \frac{3}{25}y }}[/tex]

Each day, The queen bee eats 80 times her mass in food. Suppose you needed to eat 80 times your mass each day. How many kilograms of food would you eat each day? Each month?

Answers

If we assume that your mass is m kilograms, then you would need to eat 80 times your mass in food each day. Therefore, you would eat:

80m kilograms of food per day

To find how much you would eat in a month, we need to multiply the amount of food you eat in a day by the number of days in a month. We'll assume a month has 30 days.

Number of kilograms of food eaten per month = Number of kilograms of food eaten per day x Number of days in a month

= 80m x 30

= 2400m

Therefore, you would eat 80m kilograms of food per day and 2400m kilograms of food per month.

Can someone please help

Answers

What are the answers are there options or no

the bottom 8 problems please help

Answers

Answer:

Here'd how to do problems like these. For example with #1 in your image (below)

Step-by-step explanation:

The sum of the series with the general terms k + 2 from k= 1 to k= 5

All you have to do is plug in all the numbers WITHIN the interval so in this case it would be 1,2,3,4, &5. After you plug in each of those numbers into the equation, you add them up.

Like so:

(1) + 2= 3

(2) + 3= 5

(3) + 3 = 6

(4) + 3 = 7

(5) + 3 = 8

3+5+6+7+8= 30

(-3x²+6x³- 4-x) ÷ (2x+1) Show work

Answers

The terms in the numerator and simplify the fraction, giving us: -2x² - 1/(2x + 1)

What is numerator?

A numerator is the part of a fraction that is above the line and indicates how many parts of a whole are being considered. It is the number that is being divided.

The first step in solving this problem is to factor out the numerator. Using the distributive property, we can rewrite the numerator as:

(-3x² + 6x³ - 4 - x) = (-3x² + 6x³ - 4) - x

Now, we can factor out -3x² from the first two terms, giving us:

(-3x² + 6x³ - 4) - x = -3x²(1 + 2x - 4/3x²) - x

We can now divide the numerator and denominator by the common factor of -3x², giving us:

(-1 - 2x + 4/3x²) - (x/(-3x²)) ÷ (2x + 1)

By dividing the numerator and denominator by -3x², we can now cancel out the -3x² terms, leaving us with:

(-1 - 2x + 4/3x²) - (1/3) ÷ (2x + 1)

The next step is to simplify the fraction. To do this, we must multiply the numerator and denominator by the reciprocal of the denominator. In this case, the reciprocal is -1/(2x + 1) giving us:

[(-1 - 2x + 4/3x²) - (1/3)] × (-1/(2x + 1))

Simplifying the numerator yields:

(2x + 1 - 4/3x² + 1/3) × (-1/(2x + 1))

Finally, we can combine the terms in the numerator and simplify the fraction, giving us: -2x² - 1/(2x + 1).

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Grade 10 QUESTION 1 1.1 Kayla is having a class party. She plans on buying cupcakes for everyone. If there will be 34 people attending the party and the cupcakes are sold in packs of 6. How many packs Kayla ought to buy? 1 1.2 A Seamstress (someone doing sewing) has 4,5m of material and plans to cut out a pattern that uses 0, 8m of material for each pattern. How many times can she cut out the pattern? (2) (2)​

Answers

Kayla has to purchase [tex]6[/tex] packs of cupcakes, and the dressmaker can make [tex]5[/tex] copies of the pattern.

What does "with purchase" mean?

Provide a discount on a third element in exchange for the first item's purchase, also known as purchase with purchase. Although it may also encourage sales of the side product, its primary goal is to increase sales of the main products.

Which account was bought?

The purchase accounts is a nominal account, and as per nominal account rules, business costs are debited. All purchases made on credit are noted in the purchase diary, whilst purchases made with cash are noted in the cash book.

number of packs [tex]=[/tex] (total number of cupcakes) / (number of cupcakes in each pack)

We know that there are [tex]34[/tex] people attending the party

total number of cupcakes [tex]= 34[/tex]

Plugging this into the formula above, we get:

number of packs [tex]= 34 / 6 = 5.67[/tex]

Therefore, Kayla should buy [tex]6[/tex] packs of cupcakes.

number of pattern cuts [tex]=[/tex] (total amount of material) / (amount of material used for each pattern)

We know that the seamstress has [tex]4.5m[/tex] of material and each pattern uses [tex]0.8m[/tex] of material, so we can plug these values into the formula above:

number of pattern cuts [tex]= 4.5 / 0.8 = 5.625[/tex]

Therefore, the seamstress can cut out the pattern [tex]5[/tex] times.

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The only way to enter Marvin’s Magic Museum is by telling Marvin a number he likes. Marvin likes the number 14, but does not like 15. He likes the number 21, but not the number 26. He likes the number 35, but not the number 39. Which of the following numbers will get you into the museum?

Answers

Telling Marvin the number 18 should get us into the museum.

What is division ?

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is the inverse of multiplication, and is used to find out how many times one number is contained within another number.

According to given information:

To get into Marvin's Magic Museum, we need to figure out which number Marvin likes based on the given information.

Marvin likes the number 14, but not 15. This suggests that he likes even numbers, since 14 is even and 15 is odd.

Marvin likes the number 21, but not 26. This suggests that he likes numbers that are divisible by 3, since 21 is divisible by 3 and 26 is not.

Marvin likes the number 35, but not 39. This suggests that he likes numbers that are not divisible by 4, since 35 is not divisible by 4 and 39 is.

Putting these clues together, we can see that the number Marvin likes must be even, divisible by 3, and not divisible by 4. The only number in the list that meets these criteria is 18, since it is even, divisible by 3 (6 times), and not divisible by 4.

Therefore, telling Marvin the number 18 should get us into the museum.

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Write the prime factorization of 27. Use exponents when appropriate and order the factors from least to greatest (for example, 2235)

Answers

Answer:

Step-by-step explanation:

[tex]27=3\times 3 \times 3=3^3[/tex]

ordered: [tex]3^3[/tex]

What is the equation to vertically dilate a quadratic function by 2 units?

(use f(x)=x^2 as a base to dilate it)

Answers

Answer:

  g(x) = 2x²

Step-by-step explanation:

You want the vertical dilation of function f(x) = x² by a factor of 2.

Vertical dilation

Any function is dilated vertically by a factor of k by multiplying the function value by k:

  g(x) = k·f(x) . . . . . . dilates f(x) vertically by a factor of k

  g(x) = 2x² . . . . . . dilates f(x) = x² vertically by a factor of 2

Why does a ray right side go on forever and left side just don’t move.

Answers

Answer:

Because in the left-hand case the incoming ray is perpendicular to the surface so it is not refracted.

Step-by-step explanation:

Short answer: Because in the left-hand case the incoming ray is perpendicular to the surface so it is not refracted. In other words the angle of incidence is zero in contrast to the right-hand case.

Please Help :(
Show you're work please....

Answers

Answer:

34ft

Step-by-step explanation:

Area1=5*2=10ft

Area2=4*6=24ft

Total Area=Area1+Area2=24+10=34ft

The following question has two parts. First, answer part A. Then, answer part B.

Isabella's mother has a garden with an area of
10
2
3
square feet. She plants peas in
1
4
of the garden.

Part A
Calculate the area that was used for planting peas.

Answers

The area that was used for planting peas is given as follows:

2.6675 feet².

How to obtain the area that was used for planting peas?

The area that was used for planting peas is obtained applying the proportions in the context of the problem.

The total area of the garden is given as follows:

10 and (2/3) feet².

Hence the decimal representation of the area is given as follows:

10 + (2/3) = 10.67 feet².

(conversion from mixed number to decimal).

The area that was used for planting is one fourth of the total area of the garden, hence it is given as follows:

1/4 x 10.67 = 2.6675 feet².

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A large cylindrical can of juice has a diameter of 12 inches and a height of 15 inches. A small cylindrical glass has a diameter of 3 inches and a height of 3 inches. How many full glasses of juice can be poured from the large can of juice?

Answers

240 full glasses of juice can be poured from the large can of juice.

Calculating the volume of the large can of juice and the volume of the tiny glass is necessary to answer this problem. The volume of the can must then be divided by the volume of the glass to determine how many glasses can be filled.

The formula V = r2h, where r is the radius and h is the height, determines the volume of a cylinder.

The radius for the large juice can is equal to half the diameter, or r = 6 inches. It is 15 inches tall. Hence, the huge can's volume is as follows:

V large is equal to (1620)(6)2(15) cubic inches.

The radius for the little glass is equal to half its diameter, or 1.5 inches. It is 3 inches tall. Hence, the little glass's volume is as follows:

V small is equal to 1.5 x 2 x 3 or 6.75 cubic inches.

We divide the volume of the large can by the volume of the tiny glass to determine how many glasses can be filled:

V large/V small is equal to (1620)/(6.75), or 240.

As a result, the enormous can of juice can be used to fill 240 glasses to the brim.

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There is 1/4 gallon of water in a 2 gallon container. What fraction of the container is filled?

1. Write a multiplication equation and a division equation to represent the situation.

Answers

Answer:

2/(1/4) = 8 1/4th gallons to fill the container and 1/8 * x = 8/8 (x=8) times you can fill the tank with 1/4th gallon

Step-by-step explanation:

First let's answer the first part of the question: what fraction of the container is filled?

If there is 1/4 a gallon of water in the container which holds 2 gallons, we can show this by adding 0/4 to 1/4 to get 1/8 as the fraction of the container filled. (Or just double the denominator for both gallons instead of 1)

To represent this with a multiplication equation, we will take the holding of the container which is 2 gallons

1/8 times x = how many times you can fill the container with 1/4 gallon of water (which is 8 total)

and then our division which is

2 divided by 1/4 = how many shares of water can fit in the container

I hope this helps :)

The graph below is on a semi-log scale, as indicated.

Find an equation for the graph shown

Answers

Answer:

y(x)= -2x - 2

Step-by-step explanation:

What is
F= (9/5 x C) +32
50C=__ F

Answers

122 degrees Fahrenheit is equal to 50 degrees Celsius.

Define the term Fahrenheit?

Fahrenheit is a temperature scale where water freezes at 32 degrees and boils at 212 degrees under standard atmospheric pressure.

It is primarily used in the United States, the Bahamas, Belize, and the Cayman Islands.

For example, a typical comfortable room temperature of 72 degrees Fahrenheit would be 22.2 degrees Celsius on the Celsius scale.

Using the formula F = (9/5 x C) + 32, we can find the temperature in Fahrenheit when the temperature is 50 degrees Celsius.

F = (9/5 x C) + 32

F = (9/5 x 50) + 32

F = (90) + 32

F = 122

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A family drank 4 gallons of juice over 5 weeks. During this time period,
at what rate did the family drink juice.

Answers

Therefore, the family drank juice at a rate of 0.8 gallons per week.

What is percent?

Percent is a way of expressing a fraction or a decimal as a fraction of 100. It is denoted by the symbol "%". For example, the fraction 3/4 can be written as 75% and the decimal 0.5 can be written as 50%. Percentages are commonly used in everyday life to express values such as discounts, interest rates, and success rates.

Here,

To find the rate at which the family drank juice, we need to divide the total amount of juice consumed by the time it took to consume it.

The total amount of juice consumed is 4 gallons. The time period is 5 weeks.

So, the rate at which the family drank juice is:

4 gallons ÷ 5 weeks = 0.8 gallons per week

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $1,575/month. The interest rate for the mortgage is 4.65%. How much interest is paid at the end of the second month?

Be sure to include the following in your response:

the answer to the original question
the mathematical steps for solving the problem demonstrating mathematical reasoning

Answers

In response to the query, we can state that As a result, $1,154.74 is the interest response to the original query.

what is interest ?

To calculate simple interest, divide the principal by the interest rate, the duration, and other variables. The marketing formula is simple return = capital + interest + hours. The easiest way to compute interest is with this method. The most common method for calculating interest is as a percentage of the principal amount. For instance, if he borrows $100 from a buddy and promises to pay it back at 5% interest, he will only pay his portion of the 100% interest. $100 (0.05) = $5. Interest must be paid when you borrow money and must be added to any loans you make. The annual percentage of the loan amount is frequently used to calculate interest. This percentage represents the loan's interest rate.

Now we can apply the following calculation to figure out how much a mortgage will cost each month:

(P x I / (1 -)

[tex]$1,575 = ($150,000 x 0.003875) / (1 - (1 + 0.003875)^(-360))[/tex]

After calculating the unknown variable, we obtain:

[tex]1 - (1 + 0.003875)^(-360) = ($150,000 x 0.003875) / $1,575\s(1 + 0.003875)^(-360) = 0.9900162785\s1 + 0.003875 = (0.9900162785)^(-1/360)[/tex]

0.003162 is the monthly interest rate.

In the second month, the following principle was paid:

Principal payment is $1,575 less $576.61 to equal $998.39.

Hence, at the end of the second month, the total interest paid is:

Total interest paid equals the sum of the first month's interest and the second month's interest.

Total interest paid equals $1,154.74 ($578.13 + $576.61).

As a result, $1,154.74 is the response to the original query.

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Use an algebraic equation to find the measure of each angle that is represented in terms of x.

Answers

Answer:

5x+10° = 20°10x +50° = 70°

Step-by-step explanation:

You want the measures of the angles (5x+10°) and (10x+50°) that are divisions of an angle marked as a right angle.

Angle addition

The angle addition theorem tells you the whole is the sum of its parts. Here, the right angle in the diagram is divided into two parts, marked 5x+10° and 10x+50°. The measure of the right angle is the sum of these parts:

  90° = (5x +10°) +(10x +50°)

  30° = 15x . . . . . . . subtract 60°

  2° = x . . . . . . . . . divide by 15

Using this value for x, we find the angle measures to be ...

  5x+10° = 5(2°) +10° = 10° +10° = 20°

  10x+50° = 10(2°) +50° = 20° +50° = 70°

In summary, ...

5x+10° = 20°10x +50° = 70°

If a x b=48 and a x c=32 find if any the relation between a, b and c

Answers

a, b,c are all even numbers
Other Questions
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