How much money would you have in an account after 15 years if you earned 9,3% annually and you started with R573,00?​

Answers

Answer 1

Given:

Principal = R573.00

Rate of interest = 9.3% annually

Time = 15 years.

To find:

The amount after 15 years.

Solution:

Formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.

The interest is compounded annually, so n=1.

Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get

[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]

[tex]A=573\left(1+0.093\right)^{15}[/tex]

[tex]A=573\left(1.093\right)^{15}[/tex]

[tex]A=2174.98893[/tex]

[tex]A\approx 2174.99[/tex]

Therefore, the amount in the account after 15 years is about  R2174.99.


Related Questions

A cone has a base radius of 3 cm and a slant height of 5 cm.
Find h, the perpendicular height of the cone.

Answers

Answer:

h=4

Step-by-step explanation:

5²-3²=h²

h²=16

h=4cm

Answer:

I=4 (Slant height)

R=3 (Radius)

H=5 (slant height)

Step-by-step explanation:

Imagine inclination, peprendicular height and radius as a triangle, so this will have a 90 degrees angle and Pythagor theorem will imply to the calculations, as :

[tex]a^{2}+b^{2}= c^{2}\\[/tex]

where Height is A , Radius is B, and Inclination is C we have:

[tex]3^{2} +I^{2} = 5^{2}[/tex]

from above we have:

[tex]I^{2} =25-9[/tex]

and

[tex]\sqrt{I}=\sqrt{16} =4[/tex]

What is the length of the diagonal of a non -regulation tennis court with length 20 feet and width 15 feet

Answers

Answer:

25 feet

Step-by-step explanation:

using the sides 20 and 15, use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2 side lengths and the diagonal.

[tex]a^{2} +b^{2} =c^{2} \\20^{2} +15^{2} =c^{2} \\400+225=c^{2} \\625=c^{2} \\25=c[/tex]

When Victoria goes bowling, her scores are normally distributed with a mean of 130 and a standard deviation of 11. What is the probability that the next game Victoria bowls, her score will be between 123 and 130, to the nearest thousandth?

Answers

Answer:

0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 130 and a standard deviation of 11.

This means that [tex]\mu = 130, \sigma = 11[/tex]

What is the probability that the next game Victoria bowls, her score will be between 123 and 130?

This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 123. So

X = 130

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{130 - 130}{11}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5

X = 123

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{123 - 130}{11}[/tex]

[tex]Z = -0.64[/tex]

[tex]Z = -0.64[/tex] has a p-value of 0.2611

0.5 - 0.261 = 0.239

0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130

A house plan is drawn to the scale of 1/4 inch = 4 ft. What is the length of the house if it measures 3 3/8 inches on the floor plain.​

Answers

Answer:

54

Step-by-step explanation:

3 3/8 / 1/4 = 13 1/2

13 1/2 x 4 = 54

find mHK please help

Answers

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

which measurement is closest to the area of the shaded region in square inches

Answers

The answer is 19 need any work?

Which expression is equivalent to 6 (3x + 4)?
18.1 + 24
183 +4
92 +10
91 +4


Pls hurry

Answers

18.1+24 hshshgsbsjhssjjs

Image below! PLEASE HELP! THIS IS DUE!

Answers

Answer:

270 if not simplified and

1/1 if simlifies

Step-by-step explanation:

Can someone help me with number 7 and 13 ? I graduate in a week an have to have this work done or I will not be graduating

Answers

The graph is below the dark pink is where both equations overlap

Solve the triangle. Round decimal answers to the nearest tenth.

Answers

When I try to type the right answer it says incorrect

Answer:

51

Step-by-step explanation:

The ___________ of a numerical set of data is the value that occurs most frequently.

Answers

The median is the answer

The equation y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation

Answers

the third bullet would be correct

Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
O A. Y-3 = 2.5(x - 9)
O B. y + 3 = 2.5(x + 9)
O C. y + 9 = 2.5(x+3)
O D. Y- 9 = 2.5(x-3)

Answers

Answer:

these are negative numbers

Step-by-step explanation:

What’s the answers to 15 and 16

Answers

15.) GF = 31
16.) DE = 11

You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place

Answers

Answer:

The answer is 4

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZ

Answer:

4

:P

Step-by-step explanation:

What is the solution to the system of equations below?
y = 2/5 x -3 and x = -10
-
A= (-10, -7)
B= (-10, -1)
C= (-7, -10)
D= (-1, -10)
WILL MARK FIRST CORRECT ANSWER BRAINLIEST

Answers

Answer:

here u go gurly

Step-by-step explanation:

How would you characterize the relationship between the hours spent on homework and the test scores

Answers

Answer:

sorry can'thelp

Step-by-step explanation:

Answer and explanation:

I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!

Convert. 2/3and 4/6 into like fraction

Answers

Answer:

Answer given below

Step-by-step explanation:

When we calculate the LCM, you get it as 6.

So both the fractions should have a denominator 6.

For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.

When we convert to like fraction, 2/3 becomes 4/6.

Now both the fractions have common denominator

Hope it helps.

The meaning of like is same and unlike means different. So to make it a like fraction the denominator needs to be the same 2 x 2= 4 3 x 3=6 = 4/6

14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y​

Answers

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7

2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.

Answers

Answer:

No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.

Step-by-step explanation:

So we already know that 1 surving of soup is 275 milliliters.

We have 6 survings of this soup.

We need to see if these 6 servings will fit in a 1.5 liter jar.

To find the total amount of mililers, we must multipy this by 6:

275*6

=

1650

Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:

1650/1000

=

1.65

This number is greater than 1.5 liters, which is how much soup the jar can store.

So the answer is no, the 6 servings of soup cannot fit in the jar.

WHATS THE ANSWER?? answer ASAP NO FILE AT ALL

Answers

Answer:

A

Step-by-step explanation:

Answer:

it is A because the shape is the same and is just facing a different way

Step-by-step explanation:


Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?

Answers

Answer:54.9

Step-by-step explanation:

a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?​

Answers

Answer:

1080 cheeseburgers

Step-by-step explanation:

If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080

I do not know what to do with the Sunday information, so perhaps the question is not complete.

Hope this helps!

Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7

Answers

Answer:

B   all numbers less than 7

Step-by-step explanation:

x < 7

B all numbers less than 7

----------------------

< is less than

≤ is less than or equal

> is greater than

≥ is greater than or equal

Answer:

b XD

Step-by-step explanation:

An object travels 8 miles in 20 minutes at a constant speed. What is the object's
speed in miles per hour?
A. 32
B. 28
O
C. 24
us
NE
US
An object travels 8 miles in 20 minutes what is the objects speed in miles per hour

Answers

It would be 24 miles per hour


1) The lines A and B are parallel. Identify a pair of corresponding angles?

A) ∠ 1 and ∠ 6
B) ∠ 3 and ∠ 8
C) ∠ 6 and ∠ 5
D) ∠ 5 and ∠7

2) If 25 measures 110°, what is the measure of ∠ 2?
-0)
A) 55°
B) 70°
C) 110°
D) 160°

Answers

1. A

2. If angle 5 is 110 degrees angle two would be c. 110 degrees as well

A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications. Find the lower confidence limit (LCL) for a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. Round your answer to two decimal places.

Answers

Answer:

The LCL for a 90% confidence interval for p is 0.82.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.

This means that [tex]\pi = 0.89, n = 60[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]

Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.

Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.

Answers

Answer:

SA = 56 sq mi

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

SA = 16 + 1/2(16)(5)

SA = 16 + 8(5)

SA = 16 + 40

Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
measures 3. What is the measure of side R'P'?

Answers

Answer:

1

Step-by-step explanation:

A third of 3=1

3/3=1

How many holes need to be drilled for 24 parts

Answers

24 holes needed to be drilled
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