Answers
Step-by-step explanation:
A = Future value of the amount invested
P = principal (amount of money invested) = $9,200
i = interest rate = 6% or 0.06
n = number of compounding periods (it is the number of times the interest is compounded).
For the Interest Rate per Compounding Period column, you'll have to divide the interest rate by its corresponding compounding period (please see the definitions of each compounding periods below). For example, the interest rate per compounding period (compounded annually) = interest rate ÷ number of compounding periods ( [tex]\frac{i}{n}[/tex] ) = 0.06/1 = 0.06 or 6%
For the Number of Compounding Periods column, you'll have to multiply (t ) by the number of compounding periods (n):
t × n = 15 years × 1 = 15
The Compound Interest Formula column is pretty self-explanatory--you'll just have to follow the given formula. You need to make sure that you change the values for i and n for every row.
Compounding periods (n):
compounding annually: n = 1
compounding semiannually: n = 2
compounding quarterly: n = 4
compounding monthly: n = 12
compounding weekly: n = 52
compounding daily: n = 365
You'll have to use these values into your Compound Interest formula.
I will do the 2nd row (semi-annually) for you as a guide, but you'll have to do the rest so that you could familiarize yourself on how to do it.
Interest Rate per Compounding Period = i / n = 0.06/2 = 0.03 or 3%
Number of Compounding Periods = t × n = 15 years × 2 = 30
Compound Interest Formula: [tex]A = 9,200(1 + 0.03)^{30}[/tex]
Final Amount = 22,330.81
Related Questions
-2(x + 3) = -2(x + 1) - 4
Answers
Answer:
infinite solution
Step-by-step explanation:
-2 times x is -2x
-2 times 3 is -6
-2 times x is -2x
-2 times 1 is -2
the equation now looks like this:
-2x-6=-2x-2-4
Simplify
-2x-6=-2x-6
0=0
So this is an infinite solution
Hope this helps!
I need help with this
Answers
Answer:-40 - 180=-220
Step-by-step explanation:
water is 0 so when subtracting it will be negative.
the answer is -220 because of how deep the submarine is.
you will keep subtracting the farther down you go.
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
A. 5y = 45.00; y = 9.00
Step-by-step explanation:
Step 1:
There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.
So, the amount of money the friends contributed is 5y.
The total amount of all the friends' money put together is given; $45.00.
So 5y = 45.00
______________
Step 2:
Divide 45.00 by 5 to find out how much each of the five friends contributed individually;
45.00 ÷ 5 = 9.00
So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.
y = 9.00
______________
Model it:
5y = 45.00; y = 9.00
______________
Hope this helps! :)
Simplify 5^4/5^3
5^7
5^-1
1/5
1/5^7
Answers
Answer:
5^4-3
5¹
by law
a^m÷a^n= a^m-n
The monthly utility bills in a city have a mean of $70 and a standard deviation of $8. Find the s-scores that correspond to utility bills of $60, $71 and $9. What can you conclude
Z-Score for:
$60:
$71:
$92:
Answers
92 because I'm really good at math
The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,
A.) X= 60
[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]
B.) X = 71
[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]
C.) X = 92
[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]
Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
Learn more about Z-score:
https://brainly.com/question/13299273
On Monday, 4 x 10 to the power of 2 people went to Fun World Amusement Park. On Tuesday, there were 3 x 10 to the power of 6 patrons at the amusement park. How many times larger was Tuesday's attendance than Monday's ?
Answers
The Monday and Tuesday attendance are illustrations of proportions.
Tuesday's attendance is larger than Monday's 7500
The given parameters are:
[tex]\mathbf{Monday = 4 \times 10^2}[/tex]
[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]
The number of times (n) the Tuesday attendance is larger than Monday's is:
[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]
So, we have:
[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]
[tex]\mathbf{n = 7500}[/tex]
Hence, Tuesday's attendance is larger than Monday's 7500
Read more about proportions at:
https://brainly.com/question/21126582
Four students, Amanda, Briana, Courtney, and Diana were given an assignment in their math class to create inequalities with the sme solution set as shown on the graph below.
Answers
The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity
The students that created inequalities with appropriate solution set are;
A. Amanda
D. Diana
Reasons:
Question: The table of the question is presented as follows, and the graph of the inequality is attached
[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]
Solution:
The inequality with the same solution as the given graph is x < 4
The inequalities created by the students are;
Amanda;
-3·x + 5 > -7
Rearranging the above inequality gives;
-3·x + 5 - 5 > -7 - 5
-3·x > -12
Dividing both sides by (-1) and reversing the inequality sign gives;
[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]
x < 4
Therefore;
The solution of the inequality created by Amanda is x < 4, which is the same as the solution set of the graph, and therefore, is appropriateBriana;
The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]
Multiplying both expressions on either side of the equality by 2 gives;
[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]
(2·x - 4) > 4
2·x > 4 + 4 = 8
[tex]x > \dfrac{8}{2}[/tex]
Therefore
x > 4
The solution of the inequality created by Briana is x > 4 which is not appropriate for the given graphCourtney;
The inequality created by Courtney is -7·x + 8 > -3·x + 24
Rearranging gives;
8 - 24 > -3·x + 7·x
-16 > 4·x
4·x < -16
[tex]x < \dfrac{-16}{4}[/tex]
x < -4
Courtney's solution is x < -4, which is not an appropriate solution to the given graphDiana;
Diana's solution is 9·x - 6 < 3·x + 18
Rearranging, we get;
9·x - 3·x < 18 + 6
6·x < 24
[tex]x < \dfrac{24}{6}[/tex]
x < 4
Therefor;
Diana's solution is an appropriate solution to the given graphTherefore, the students that created inequalities with appropriate solution set are;
A. Amanda
D. Diana
Learn more here:
https://brainly.com/question/11829187
Dr. Reyes is examining whether exercise is linked to mood. She recruits a sample of college students and asks them to answer whether they exercised at least three times last week (yes or no) and to rate their mood in the last week (1: Not happy at all to 5: Very happy). Her results show that students who exercised in the last week also reported happier moods. Can Dr. Reyes make a causal inference from her study
Answers
The answer to whether Dr. Reyes can make a causal inference from the study is;
No, she can't make a casual inference from the study because she met only one of the three criteria's for causality.
To answer this question, we need to know the conditions for causality in statistics research because causality gives the relationships such that a change in one variable would have to result in a change in another variable.
Now, the three conditions are;
1) Covariation; This condition means that the causal variable must have to vary with with the variable it is assumed to cause in a systematic manner.
2) Temporal precedence; Thus condition simply means that cause must precede effect. In summary it denotes that the variable that has the causal effect must come before the effect that it is meant to cause.
3) Control for extraneous variables; This condition means that results of an experiment or research must not be due to factors outside of the experiment/research
Now, in our question, he fulfilled the covariation condition because the
result of the research is tied to the responses from the sample students.
However, she did not fulfill the temporal precedence because the cause of
their moods did not precede the effects in his research.
Also, she did not fulfill the condition of control of extraneous variables
because other factors outside of the research itself may have affected their
moods.
Read more at; https://brainly.com/question/10811163
Find the missing length of the triangle.
1.5 cm
a
1.2 cm
a =
cm
Answers
Answer:
take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root
5
an
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1
centimeter represents 20 kilometers. What is the actual distance between these two cities in
kilometers? hi
Answers
Answer:
(0,2),(1,6),(−2,−6) are solutions
The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced?
Answers
Answer:
The price of the dress was reduced by 25%
Step-by-step explanation:
Answer:
The price for the dress was reduced by 25%.
Step-by-step explanation:
25% of 40 is 10.
40 - 10 = 30, explaining the dress' price reduction from 40 to 30.
Hope this helps!
Pls Help
A sporting goods manufacturer requires 5/6 yd of fabric to make a pair of soccer shorts. How many shorts can be made from 35 yds of fabric?
Answers
Answer:
[tex]42[/tex]
Step-by-step explanation:
Another way to look at this question is: We make 5/6 yards of fabric from each pair of shorts. How many shorts do we need to make 35 yards of fabric.
So, we need to solve this equation for [tex]x[/tex]: [tex]x*5/6=35[/tex].
We can multiply both sides of the equation by [tex]6[/tex] to get [tex]x*5=210[/tex].
We then divide by [tex]5[/tex] on both sides to get [tex]x=42[/tex].
So, we can make [tex]\boxed{42}[/tex] pairs of soccer shorts.
1) Use the point at (4, 6) to answer the following. *
7 points
1. Which situation is best described by the graph
shown?
a. purchases chips for $0.75 per bag.
b. Mark buys packs of gum for $1.50 each.
c. Paula pays $0.50 per ticket at the fair.
d. Franco purchases flowers for $3.00 each.
Answers
Evaluate 3p - 59 for p =6 and q = 4.
Answers
My answer:
−p2−4q+r2 =−(−5)2−4(4)+(−10)2 .
find f^-1(x) where
f(x)=3x+2/x
Answers
Answer:
x = -3y + 2
-3y = x - 2
f^-1(x) = y = -(x-2)/3
Step-by-step explanation:
The inverse here is just straight line so it is a function
HELP ASAP BRAINLIEST!
One pump can fill a tank of water in 4 hours. A second pump can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
1.7 hours
6.7 hours
.5 hours
2.3 hours
Answers
Answer:
1.7
Step-by-step explanation:
in one hour, the first pump can fill the tank 1/4 of the way
in one hour, the other can fill it 1/3 of the way.
get them to the same denominator.
3/12+4/12=7/12 of the tank in one hour
1÷7/12=12/7=1 5/7=1.7
Find the value of x.
A) 870
C) 127°
E) 66°
B) 106°
D) 100°
Answers
Answer:
100
Step-by-step explanation:
y + 140 = 180 {Linear pair}
y = 180 - 140
y = 40
Given triangle is an isosceles triangle.
x + y + y = 180 {angle sum property of triangle}
x +2y = 180
x +2*40 = 180
x + 80 = 180
x = 180 - 80
x = 100
If Mac were to get 76 apples from her friends and then get 3 more from the store, and then find two absolutely fine apples in the sewers, then go for a walk and find 7500 apples in someone's car, how many healthy apples would she find? Bet you can't solve it ;)
Answers
Answer:
3?
Step-by-step explanation:
Answer:
None because the apples are all poisoned.
Step-by-step explanation:
(10x-18) (8x+14) value of x
Answers
Answer: 80 x^3 - 4x^2- 252x
Step-by-step explanation:
Answer:
80^2 − 4 − 252
Step-by-step explanation:
in pic
(Credit: Symbolab)
(hope this helps can I pls have brainlist (crown)☺️)
What is the value of x in the triangle below?
ModuleTwoPostAs...
a
>> Q
3x
T
V
8x - 30
R
15
45
6
18
Answers
Answer:
d
Step-by-step explanation:
use the distibutive property to find the product
1/5 x 5 10/11
Answers
Answer:
1/2/11
Step-by-step explanation:
1/5×5/10/11=1/5×65/11
=13/11
=1/2/11
A painter charges $15.30 per hour, plus an additional amount for the supplies. If he made $187.81 on a job where he worked 7 hours, how much did the supplies cost?
Answers
Answer:
$80.87
Step-by-step explanation:
The cost of supplies would be $80.87 This is because 15.33 • 7 = 107.31 and 188.18 - 107.31 = 80.87
What is 4.4 dvided 1.85
Answers
Answer:
2.378378378
Step-by-step explanation:
rounded it would be 2.4
David begins the summer with a savings of $54.00 more than Fatima. David's job pays $8.25 per hour. Fatima's job pays $9.75. If they both work the same amount of time each day, how many hours of work will it take David to have as much money as Fatima? (write an inequality and then solve it)
Answers
Answer:
Inequality: 8.25x + 54 = 9.75
Step-by-step explanation:
Why?
It will take 36 hours for David to have as much as Fatima.
David :
Initial saving = 54
Pay per hour = $8.25
While Fatima :
Pay per hour = $9.75
Let number of hours worked = x
David's total = $8.25x + 54
Fatima's total = 9.75x
In other to have the same amount :
8.25x + 54 = 9.75x
The like terms :
8.25x - 9.75x = - 54
-1.5x = - 54
x = - 54 / - 1.5
x = 36
Therefore, it’ll take 36 hours for David to have as much as Fatima.
Answer:
36 hours
Step-by-step explanation:
stay great peepz!
-TinyDiamond
the population of london city is 11400. write this in scientific notation
Answers
Answer:
1.14 x 10x4
Step-by-step explanation:
thats is correct i just did the test
the difference of a number and its absolute value.
Answers
Answer:
he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.
I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.
My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?
For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.
In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.
Step-by-step explanation:
For example, | -1 | = 1. 1 - (-1) = 2
AB || DE. Calculate the value of angle x°.
Answers
Answer:
23 maybe because there is a 90 degree angle
Answer:
sorry sorry for bad hand writing
but u are right it is 153 degree
pls make me brainiliest
solve 4(a-3) = 22
solve 5(x -6) = 65
with explanation, please
giving 20 points
Answers
Step-by-step explanation:
4(a-3)=22
a-3=4-22
a-3=18
a=18+3
a=21
5(x-6)=65
x-6=65-5
x-6=60
×=60+6
x=66
hope it will help u...............
Answer:
a = [tex]\frac{34}{4}[/tex]
x = 19
Step-by-step explanation:
First equation
Expand the brackets
4(a-3) = 22
4a - 12 = 22
Add 12 to both sides
4a - 12 + 12 = 22 + 12
4a = 34
Divide both sides by 4
4a ÷ 4 = [tex]\frac{34}{4}[/tex]
a = [tex]\frac{34}{4}[/tex]
Second equation
Expand the brackets
5(x - 6) = 65
5x - 30 = 65
Add 30 to both sides
5x - 30 + 30 = 65 + 30
5x = 95
Divide both sides by 5:
5x ÷ 5 = 95 ÷ 5
x = 19
Hope this helps!
What can divided 62 and 30
Answers
30-1,2,5,6,10,15,30
Your Aunt Yvonne is shopping for flower pots at the local
garden store.
2 pots = 24 cm
4 pots = 32 cm
Answers
The equation which relates the height of the flower pot based on the number of pots is 4a + 16
Creating a system of linear equations based on the information given :
a = number of flower pots b = height of base4a + b = 32 - - - - - (1)
2a + b = 24 - - - - - (2)
From (2)
2a + b = 24
Make b the subject ;
b = 24 - 2a - - - - (3)
Put b = 24 - 2a in (1)
4a + 24 - 2a = 32
4a - 2a + 24 = 32
2a = 32 - 24
2a = 8
a = 8/2
a = 4
From (3) :
b = 24 - 2(4)
b = 24 - 8
b = 16
The equation which relates the height of a flower pot is 4a + 16
Learn more :https://brainly.com/question/18796573