An additional interest of $ 4.08 is earned in year 5 by using compound interest and in comparison with simple interest method.
How to determine money gain by simple interest
Simple interest (C) is the amount of money gained and solely related to the initial capital ([tex]C_{o}[/tex]), in monetary units. The money earned by simple interest is determined by the following formula:
[tex]C = \frac{C_{o}\cdot r\cdot t}{100}[/tex] (1)
Where:
r - Interest rate, in percentaget - Time, in yearsCompound interest (C) takes into account the capital throughout time and its formula is presented below:
[tex]C = C_{o}\cdot \left[\left(1+\frac{r}{100} \right)^{t}-1\right][/tex]
Now we proceed to determine the simple and compound interest: ([tex]C_{o} = 1000[/tex], r = 2, t = 5)
Simple interestC = [(1000) · (2) · (5)]/100
C = $ 100
Compound interestC = (1000) · {[1+(2/100)]⁵-1}
C = $ 104.08
An additional interest of $ 4.08 is earned in year 5 by using compound interest and in comparison with simple interest method. [tex]\blacksquare[/tex]
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gabriel and ted went to an arcade where the machines took tokens. gabriel played 6 games of slee ball and 9 games of pinball using a total of 33 tokens. at the same time, ted played 4 games of slee ball and 9 games of pinball using up 31 tokens. how many tokens does each game require?
Answer:
9x + 5y = 29 ........... (1) and 3x + y = 7 ........... (2) Each game of ping pong ...
Missing: gabriel ted 33
Step-by-step explanation:
Find the value of x. assume that segments that appear to be tangent are tangent.
Answer:
9
Step-by-step explanation:
The explanation is in the picture
. If p = -5, q = 4, then find pq - (p + q).
Answer:
-19
Step-by-step explanation:
Given :
p = -5
q = 4
Putting the value of p and q in equation pq - (p + q)
=> (-5)(4) - [(-5)+4]
=> -20 - [ -5+4 ]
=> -20 - [-1 ]
=> -20+1
=> -19
Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of 20.75% per month. How many months will it take for the farm to triple in size? **Must solve using log/ln method**
The number of months it would take the bunny farm to triple in size is 5.3 months.
When would the bunny farm be triple its size?The formula that can be used to determine the number of months it would take Mrs. Galicia's bunnies to triple in size is:
Number of years = (In FV / PV) / r
FV = future population of the bunniesPV = present population of the bunniesr = rate of growthFV / PV = 3IN(3) / 0.2075 = 5.3 months
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A quarterback completed 16% of his passes in a season. He completed 80 passes. How many passes did the quarterback throw?
Answer:
500
Step-by-step explanation:
100*80 is 8000, then divide it by 16
A beaver Burroughs 10 hole every five minutes how many holes will it burrow it time is increased to 25 minutes
Answer:
A beaver burrows 10 holes every 5 minutes. How many holes will it burrow if the time is increased to 25 minutes? Answer it will burrow 50 holes in 25 minutes
hope this helps
Step-by-step explanation:
Answer:
50 holes
Step-by-step explanation:
5 minutes = 10 holes
25/5 = 5
10 x 5 = 50
The length from one point to another that is a portion of the curve of the circle is called:
Answer:
The length from one point to another that is a portion of the curve of the circle is called arc
1. what are "odds for" stopping on a 2, 3, 7, 10?
2. What are the "odds against" stopping on a number less than 5.
NO LINKS!!
Answer:
1) 1/2, 2) 2Step-by-step explanation:
#1Number of total outcomes is 12 (numbers 1 through 12)Favorable outcomes are 2, 3, 7, 10, total number is 4Unfavorable outcomes are the rest of numbers, total number is 8The 'odds' is
Odds for (2, 3, 7, 10) = 4/8 = 1/2#2Number of total outcomes is 12 Number of favorable outcomes is 4 (numbers less than 5)Number of unfovorable outcomes is 8 (the rest of numbers)The 'odds against' is
Odds against (< 5) = 8/4 = 2/1 or 2Answer:
Question 1"Odds for" - Number of successes : Number of failures
Number of success = 2, 3, 7 or 10
Number of failures = 1, 4, 5, 6, 8, 9, 11, 12
⇒ odds for stopping on 2, 3, 7 or 10 = 4/8 = 1/2
Question 2"Odds against" - Number of failures : Number of successes
Number of success = 1, 2, 3, 4
Number of failures = 5, 6, 7, 8, 9, 10, 11, 12
⇒ odds against stopping on 1, 2, 3 or 4 = 8/4 = 2
Kelly has made 16 out of 25 free throws. The probability that she will make her next free throw is 64% Is it experimental probability or theoretical probability?
Answer:
Her next throw will be theoretical, since the event has not happened yet.
Step-by-step explanation:
Set up a questions:
has it happened?
no? it's based off of past experiences? - theoretical
Yes? - experimental
Exploring Multiplication and Inequalities A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol.
Answer:
A
Step-by-step explanation:
Suppose you are a
farmer and want to know if your corn crop is ready
to be harvested. Describe an unbiased way to
determine whether the crop is ready to harvest.
Answer:
if you track it's growth, you can see the progress.
Step-by-step explanation:
Which shape has only one pair of parallel sides?
Answer:
The answer is C.
Step-by-step explanation:
This is because that shape only has the top and bottom lines which are parallel. The sides are not vertical and leaning outwards, which are not parallel. Leaving that shape to only have one pair of parallel sides.
Answer:
C.
Step-by-step explanation:
A & B both have 2 pairs of parallel lines, so they're not a choice. D has three sides, making it a triangle. Meaning it has no pairs of parallel lines. That leaves us with C. The reason why C is the answer is because, we can see that both top and bottom lines are parallel to each other. However, the left and right lines are not.
I hope this helped!
Select ALL that apply to the graph
the roots are 2 & 4
the X-intercepts aro (40) & (2.0)
the domain is all real numbers
the range is all real numbers
the range is y 39
the equation is linear
the equation is quadratic
the domain is 6X4
Answer:
a b c e g
Step-by-step explanation:
OPTION A
OPTION B
OPTION C
OPTION E
OPTION G
I hope it helped you
Help please. Anyone good at math?
Answer:
m∠x = 47°
Step-by-step explanation:
The given shape is a triangle.
Sum of interior angles of the triangle is 180,
x + 102 + 31 = 180
x + 133 = 180
x = 180 - 133
m∠x = 47°
A fan with a resistance of 20 Ω is connected to a power supply. The current flowing through the circuit is 2.5 A.
What is the voltage of the power supply?
(1 point)
8.0 V
8.0 V
22.5 V
22.5 V
17.5 V
17.5 V
50.0 V
Answer: 50V
Step-by-step explanation:
Use Ohm's Law, which states that the voltage is proprtional to the current. The proprtionality constant is the resistance:
[tex]V=IR[/tex]
We are given the resistance in Ohms, and the current in Amps. Therefore:
[tex]V=(2.5)(20)=50V[/tex]
cansomeone please help me with problem
Answer:
Disagree
Hope you have a nice day!
Answer:
Disagree and D
Step-by-step explanation:
you wouldn't add 24 as a number because it's a percent, so it can't be C.
Also, since its not C, and A and B are lower then 190, its D
F(x)=2 to the power of x +3 what is the value of f(-2)
Answer:
2
Step-by-step explanation:
f(x) = 2^(x+3)
f(-2) = put in -2 where x is
= 2 ^(-2+3) = 2^1 = 2
Write an expression to represent the area of each figure
Answer:
A = 4x² + 3x - 1
Step-by-step explanation:
Area of trapezoid = (a + b)(h)/2
a = 5x - 4b = 3x + 2h = x + 1A = [((5x - 4) + (3x + 2)) · (x + 1)] ÷ 2
A = [(8x - 2) · (x + 1)] ÷ 2
A = (8x² + 8x - 2x - 2) ÷ 2
A = 4x² + 4x - x - 1
A = 4x² + 3x - 1
Hope this helps and God bless!
To setup an equation for the area of the figure:
⇒ must know the formula for the area of a trapezoid
[tex]\frac{1}{2}*(base1+base2)*height[/tex]
base 1 --> 5x - 4base 2 --> 3x + 2height --> x + 1Now's lets set up the equation:
[tex]Area =\frac{1}{2}(5x-4+3x+2)(x+1) =\frac{1}{2}(8x-2)(x+1)=\frac{1}{2}*(8x^2+8x-2x-2)\\Area = \frac{1}{2} *(8x^2+6x-2)\\Area = 4x^2+3x-1[/tex]
Thus the equation is [tex]4x^2+3x-1[/tex]
Answer: [tex]4x^2+3x-1[/tex]
Hope that helps!
It took Fred 12 hours to travel over pack ice from one town in the arctic to another town 360 miles away. During the return journey, it took him 15 hours. Assume the pack ice was drifting at a constant rate, and that Fred’s snowmobile was traveling at a constant speed relative to the pack ice. What was the speed of Fred’s snowmobile?
Using the relation between velocity, distance and time, it is found that the speed of Fred’s snowmobile was of 27 miles per hour.
What is the relation between velocity, distance and time?
Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
It took Fred 12 hours to travel over pack ice from one town in the arctic to another town 360 miles away, when the ice was drifting in the same direction, hence:
[tex]v_i + v_s = \frac{360}{12}[/tex]
[tex]v_i + v_s = 30[/tex]
[tex]v_i = 30 - v_s[/tex]
In the return trip, with the ice in opposite direction he took 15 hours, hence:
[tex]v_s - v_i = \frac{360}{15}[/tex]
[tex]v_s - v_i = 24[/tex]
Since [tex]v_i = 30 - v_s[/tex]:
[tex]v_s - 30 + v_s = 24[/tex]
[tex]2v_s = 54[/tex]
[tex]v_s = 27[/tex]
The speed of Fred’s snowmobile was of 27 miles per hour.
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i need help with algebra homework please .
[tex]\cos 32^{\circ} = \dfrac{14.7}a\\\\\implies a=\dfrac{14.7}{\cos 32^{\circ}}\\\\\implies a=17.33[/tex]
What is this for? I can't remember because I have a problem that is similar to this.
Answer:
There is no attachment to the question. You should be specific on what you mean by "this". Therefore, we can not solve the problem that is similar to another problem.
A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet steel costs $20 for each square meter, how much will the sheet steel cost in total?
Answer :-
The value of all the steel sheet is $2080
Solving steps:-
⇢ A=2(wl+hl+hw)
Where,
Length = 6mWidth or breath = 5mHeight = 2m⇢ A = 2((5)(6)+(2)(6)+(2)(5))
⇢ A = 2(52)
⇢ A = 104
We multiply 104 by $20
⇢ 104 × 20
⇢ 2080
Therefore,the sheet steel will cost $2080 in total
Hopes this helps,
Have a wonderful day ,:-)
Find the area of a perfect polygon that has 99 sides and each side measures 31 inches
Answer:95139 units^2
Step-by-step explanation:
(31*31)*99 = 95139
So the answer should be 95139 units ^2
need answer asap please and thank you
Step-by-step explanation:
this trapezoid has 3 parts
rectangle, 2 triangles
area of rectangle = 8.7*9.8 = 85.26 m^2
area of first right triangle = .5*b*h = .5*7.3*9.8 = 35.28 m^2
area of 2nd right triangle = .5*7.6*9.8 = 37.24 m^2
total area = 156.78 m^2
In the first week of Georgia's job, she earned $125.25 for working 15 hours. During her second week, she earned $167.00 for working
20 hours. How much does she earn in dollars for each hour she works?
Answer:
Georgia earns $8.35 per hour
Step-by-step explanation:
$125.25 / 15 hours = $8.35
$167.00 / 20 hours = $8.35
You can also find how much Georgia makes an hour by:
15 hours + 20 hours = $125.25 + $167.00
OR...
15x + 20x = $125.25 +$167.00
35x = $292.25
x = $292.25 / 35
x = $8.35 earned per hour
Fiona is paid $11 an hour to work as a referee. The amount of money he earns depends on how many hours he works. Which is a dependent variable, and which is an independent variable?
Answer:
Number of hours worked = independent
Money earned = dependent
Step-by-step explanation:
The money earned is dependent because "the amount of money he earns depends on how many hours he works." Since the money earned is dependent, the number of hours worked is independent.
We can also think of it another way. You can pick how many hours you work (theoretically) so this is indepdent. The amount of money earned depends on the hours you worked.
Summary:
Looking at the wording, we can answer the question with the following:
Number of hours worked = independent
Money earned = dependent
Mario collects seashells and sells them to tourists. The function s(t) approximates how many seashells Mario collects per hour. The function W(h) represents the number of hours per week Mario spends collecting seashells. What are the units of measurement for the composite function s(W(h))? seashells over hour seashells over week hours over week weeks over seashell
Answer:
seashells/week
Explanation:
With the given the function s(h) being seashells per hour, and the function W(h) being the number of hours per week, we can say that the compostie function s(W(h)) is finding the number of seashells per week.
(I've also taken the test and this was the correct answer.)
Hope this helps! :)
Mr. Timberlake bought 7/9 cup of chocolate chip to
make cookies. He has used 2/3 cup of chocolate chips
To make the cookies. How many chocolate chips does he
have left?
Answer:
1/9 cup left
Step-by-step explanation:
7/9 - 2/3
Change to a common denominator.
7/9 - 6/9 = 1/9
I hope this helps and please mark me as brainliest!
The U.S. flag has 7 red stripes and 6 white stripes. Check if each ratio of red stripes to total stripes is correct.
A. 7:6
B. 7/13
C. 13 to 7
D. 7 to 6
E. 7:13
F. 7/6
Answer:
B
Step-by-step explanation:
7 is the red stripes and if u add the white and the red which is 7 and 6 which equals 13 which means the answer is 7/13
The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.9 cm.
a. Find the probability that an individual distance is greater than 212.50 cm
b. Find the probability that the mean for 25 randomly selected distances is greater than 201.00 cm
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
a. The probability is
(Round to four decimal places as needed)
b. The probability is I
(Round to four decimal places as needed.)
c. Choose the correct answer below.
O A The normal distribution can be used because the mean is large.
B. The normal distribution can be used because the finite population correction factor is small.
OC. The normal distribution can be used because the probability is less than 0.5
OD. The normal distribution can be used because the original population has a normal distribution
Answer:
I am not sure if you're accustomed to using a z-score and table of probabilities or technology, so I will answer using both!
a) Since you're choosing one person from the population, you will use the mean and standard deviation from the population. z= (210.9-197.5)/8.6 = 1.56 Using a table of normal probabilities,
P(x>210.9)= 1-P(z<1.56)= 1- 0.9406=0.0594
Using technology: normalcdf(210.9, 1E99, 197.5, 8.6)=0.0596
b) Since you're calculating the population for a sample to occur, you need to get a mean of the sampling distribution and standard deviation of the sampling distribution.
Meanpop=Meansampling dist.=197.5
St. Devsampling dist.= Stdpopulation/√n = 8.6/√15 = 2.22
Using technology, P(X>196.20)= normalcdf( 196.20, 1E99, 197.5, 2.22) = 0.7209
c) You only have to worry about the sample size in a sampling distribution if you either do not know the shape of the distribution of the population or if the distribution of the population is not normally distributed. Since this population is normally distributed (as stated in the given information), then your sample size does not have to be greater than 30.
Step-by-step explanation: