Answer:22215
Step-by-step explanation: got it from delta math
After 16 years Angel would have amount $22942 more money in his account than Jackson.
What is compound interest?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
For the given situation,
Investment of Jackson, p = $81000
Rate of interest, r = 6 1/2%
⇒ [tex]6.5\% = 0.065[/tex]
Interest is compounded monthly, so n = 12
Number of years, T = 16
Investment of Angel, p = $81000
Rate of interest, r = 7 1/8%
⇒ [tex]7.125\% = 0.07125[/tex]
Interest is compounded quarterly, so n = 4
Number of years, T = 16
The formula of amount in compound interest is
[tex]A=p(1+\frac{r}{n} )^{nT}[/tex]
Jackson's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.065}{12} )^{(12)(16)}[/tex]
⇒ [tex]A=81000(\frac{12.065}{12} )^{192}[/tex]
⇒ [tex]A=81000(1.0054)^{192}[/tex]
⇒ [tex]A=81000(2.8123)[/tex]
⇒ [tex]A=227798.13[/tex]
Angel's amount after 16 years,
⇒ [tex]A=81000(1+\frac{0.07125}{4} )^{(4)(16)}[/tex]
⇒ [tex]A=81000(\frac{4.07125}{4} )^{64}[/tex]
⇒ [tex]A=81000(1.0178)^{64}[/tex]
⇒ [tex]A=81000(3.0955)[/tex]
⇒ [tex]A=250739.62[/tex]
After 16 years, how much more money would Angel have in his account than Jackson is
⇒ [tex]250739.62-227798.13[/tex]
⇒ [tex]22941.49[/tex] ≈ [tex]22942[/tex]
Hence we can conclude that after 16 years Angel would have $22942 more money in his account than Jackson.
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[tex]8 \div \frac{2}{3} [/tex]
I need this is an improper fraction
Answer:
you could just do 12/1 or let 8 turn into 24/3
Step-by-step explanation:
on step 1 we should do reciprocal
on step 2 we should multiply
on third step 3 we should divide
so the answer is 12
Which of the following tables shows that y is a function of x?
Answer:
Table B
Step-by-step explanation:
Recall: a table of values can only represent a function if and only if every x-value has exactly only one y-value.
The only table that satisfies this condition is the table in option B.
In table B, every x-value is related to only exactly one y-value.
What is the value of C in the matrix equation below
Help me please! :Will give brainliest!:
Answer:
Step-by-step explanation:
Anything that is multiplied greater than 1 will be greater than what the other factor is. You are correct!
Answer:
B, 2 5/6 x 2 5/6
Step-by-step explanation:
This is the only answer that is greater than 2 5/6
helpp i'll give you brainlyest
Answer:
D
Step-by-step explanation:
a b and c are not correct by looking at the first value
Answer:
Im guessing its D because i cant see all the options.
Step-by-step explanation:
its the graph that has two dots on 1, three dots on 2, one dot on 3, and four dots on 4.
Find x in each triangle 4 cm 3 cm
Answer:
5cm
Step-by-step explanation:
What exactly do you mean by x?
The value of x is 5 cm.
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse2 = Base2 + Height2
162 = B2 + 82
B2 = 256 - 64
B = √192 = 13.856 units
Given:
Two sides are 4 cm and 3 cm
Using Pythagoras theorem
x² = 4² + 3²
x² = 16+ 9
x² = 25
x=√25
x= 5 cm
Also, the range of x is in between 1 cm and 7 cm.
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Solve for the following by
FACTORING:
x2 + 11x + 28 = 0
Step-by-step explanation:
(x+7)(x+4)
x = -4 and -7
have a nice night
Answer:
Alternate forms:
(x + 4) (x + 7) = 0
(x + 11/2)^2 - 9/4 = 0
Solutions:
x = -7
x = -4
Step-by-step explanation:
HOPE THIS HELPSSS
angela is seeking a venue for her school’s athletic council banquet.Primo Banquet Hall charges $2000 plus $50 per person.The Lookout Banquet Hall charges $1500 plus $75 per person.
a)write an equation to represent each banquet hall
b)when do both halls charge the same amount
c)which hall should angela choose?explain indicating intervals
5. Carlotta's Beauty Supply store sells two brands of bar soap. A 6 pack of Brand A costs
$6.78 and an 8 pack of Brand B costs $8.40. What brand is the better buy?
Will mark brainliest :) Given vectors u = -9i + 8j and v = 7i + 5j find 2u -6j in terms of unit vectors i and j
(answer choices below vv)
Answer:
the answer is option number b..
16ft by 24ft what is the are?
Compare y= -3x + 2 and x - 3y = 9.
11 x m when m=3
PLSS help
Answer:
33
Step-by-step explanation:
11 times 3 =33
Please help asap will give brainliest
Answer:
I cant see the choices
Step-by-step explanation:
HELPPP PLEASE HELP A GIRL OUT
Answer:
I am guessing A or C.
Step-by-step explanation:
Hope this helps you :)
Find an equation for the line below.
Answer:
Slope = ⅓
Step-by-step explanation:
Slope (m) = change in y/change in x
Using two points on the line, (-5, 1) and (1, 3),
Change in y = 3 - 1 = 2
Change in x = 1 - (-5) = 6
Slope (m) = change in y/change in x = 2/6
Slope = 1/3
Find the equation of a line Passing through the
origin so that the tangent of the angle between the
Line in Quadrant I and the positive x-axis is square root of 3 over 3. Also find the angle.
Please also find the Augle.
Answer:
Step-by-step explanation:
y = 1/2x
the angle is 30° or in radians [tex]\pi[/tex]/6
Students in a representative sample of 69 second-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.85.
Required:
a. Construct a 95% confidence interval estimate of μ, the population mean procrastination scale for second-year students at this college.
b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?
Answer:
a) The 95% confidence interval estimate of μ is (39.35, 42.5).
b) Second-year students tend to procrastinate more than first-year students
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 69 - 1 = 68
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 68 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9955
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9955\frac{6.85}{\sqrt{69}} = 1.65[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 41 - 1.65 = 39.35
The upper end of the interval is the sample mean added to M. So it is 41 + 1.65 = 42.65
The 95% confidence interval estimate of μ is (39.35, 42.5).
b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?
The confidence interval for second-year students had higher values both at the lower and the upper end of the interval, which means that they tend to procrastinate more than first-year students
Sherrie just registered for her wedding. So far 6 items have been purchased from her list. Find the MEAN price of the purchased items.
$29, $58, $15, $129, $75, $22
**Round to the nearest tenths EX. 18.6**
Answer:
54.6
Step-by-step explanation:
29+58+15+129+75+22= 328
328÷6= 54.6666666667
round to the nearest tenth= 54.6
Pls help with this question pls and thx!
What is sin49° to the nearst tenth
Answer:
The sin of 49 degrees is 0.75471.
Step-by-step explanation:
To obtain 49 degrees in radian multiply 49° by pi/ 180° = 49/180pi. Sin 49degrees = sin (49/180 × pi) .
Please can someone help me. It’s not 26, please find X
Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
Answer: A. -sqrt (3)/2, 1/2
To get from radians to degrees, you replace the pi symbol with 180° and solve
So, (5 • 180) / 6 = 150°
150° makes a 30° angle, as the nearest x axis is the negative x axis at 180°.
As we know, a 30°, 60°, 90° triangle has sides sqrt(3)/2 and 1/2.
Since the 30° angle is on the x axis, sqrt(3)/2 will be the x value and 1/2 will be the y value. And since the triangle is in the negative x, positive y quadrant, 1/2 will be positive and sqrt(3)/2 will be negative. Giving you (-sqrt(3)/2, 1/2)
What is the measure of angle x
Please help meeeee I’m desperate
Answer: I believe the Big B is 169 and the perimeter is 52
Step-by-step explanation:
Tim spent $8.16 on 12 pounds
of Sweet-smarts. How much is one
pound of Sweet-smarts?
Answer:
1.47058823529
Step-by-step explanation:
Round if needed
Answer:
Tim is gonna get diabetes >:(
Step-by-step explanation:
but your answer is .68 cents lol
FOR BRAINLIST!! and points
Answer:
A
Step-by-step explanation:
The answer is A. The initial weight is known so it can’t be mutipliy with a variable. We don’t know how many weeks he will lose weight, but we know that the goal is 228 and that he had planned to lose 2 pounds per week
so 2 multiply the weeks, the variable
A line that passes through the point (-4,6) with a slope of 2. The equation of that line in slope is y=......... X+?
Answer:
y=2x-2
Step-by-step explanation:
I WILL MARK BRAINLIEST! NO LINKS OR IMAGES.
Conducting a survey best fits which step of the statistical process?
Form a question that can be answered by data.
Design and implement a plan that collects data.
Analyze the data using graphical and numerical methods.
Interpret and compare the data.
Answer:
Design and implement a plan that collects data.
Step-by-step explanation:
Answer:
Design and implement a plan that collects data.
Step-by-step explanation:
Looking at the answer choices, we can use the process of elimination:
1) Form a question that can be answered by data.
2) Design and implement a plan that collects data.
3) Analyze the data using graphical and numerical methods.
4) Interpret and compare the data.
1) The question is most likely already formed, as a survey cannot be conducted without a question or objective. Not 1.
2) A survey collects data.
3) This happens after the collection of data, or the survey. Not 3.
4) This also happens after the collection of data, or the survey. Not 4.
A plane flies 450 miles with the wind, and 350 miles against the wind (in the same amount of time). If the wind is blowing at 30 mph, how fast would the plane be going without air helping/hurting?
Answer: = 240 mph.
Step-by-step explanation:
Let x = speed of the plane.
t= time taken
As per given, we have
[tex]t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)[/tex] [Time = distance / speed]
From (i) and (ii), we get
[tex]\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240[/tex]
Hence, the speed of the plane = 240 mph.