The compounded amount after 10 years would be $1,458,293.87.
What is the formula to calculate the compound interest?The formula to calculate the compound interest is -
[tex]$A =P(1 + \frac{r}{n}) ^{nt}[/tex]
Given is that Phillip decides to invest $800,000 in a period annuity that earns 5.2% APR compounded monthly for a period of 20 years.
We can calculate the compounded amount as -
A = 800000(1 + 0.052/12)^(12 x 20)
A = 1,458,293.87
Therefore, the compounded amount after 10 years would be $1,458,293.87.
To solve more questions on compound interest, visit the link below -
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Answer: B. 5368.43
Step-by-step explanation:
Take my word.
Which values are solutions to the inequality below? Check all that apply.
x² < 64
Answer:
C, D, and E work,
Step-by-step explanation:
A professor compares the number of students at his school majoring in statistics, engineering, both, or neither.
How many items are in the sample space for a student at his school?
A. 1
B. 2
C. 3
D. 4
Answer:
Step-by-step explanation:
3
an expression is shown. 9,537 ÷ 33 what is the value of the expresion?
Answer:
9537÷33=289
why?
33×289=9537
Evaluate the polynomial for x = -2.
x² - 9x+7
Answer:
Hi! The answer to your question is [tex]29[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Help me please with this math problem.
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
Find the surface area of the regular pyramid
Greetings from Brazil!
[tex]4\dfrac{1}{2} =\dfrac{9}{2}[/tex]
[tex]Af1=\dfrac{b\cdot h}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{9}{2} \cdot 4}{2} \cdot 4\\\\\\Af1=\dfrac{\dfrac{36}{2} }{2} \cdot 4\\\\\\Af1=\dfrac{18}{2} \cdot 4\\\\Af1=9\cdot 4\\\\Af1=36~m^2[/tex]
[tex]Af2=l^2\\\\Af2=(\dfrac{9}{2})^2\\\\\ Af2=\dfrac{81}{4}\\\\Af2=20,25~m^2[/tex]
[tex]At=Af1+Af2\\At=36+20,25\\At=56,25~m^2[/tex]
I hope I helped you! =)
How many tons are equal to 6,000 pounds
Answer:
6,000 Pounds =
3 Tons
Step-by-step explanation:
A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.
A ton, also referred to as a short ton, is a unit of weight equal to 2,000 pounds. It is commonly used in the United States. Most other countries use the metric ton, or "tonne".
PLS HELP!!! FOR 10 POINTS SHOW WORK PLEASE
Tell whether the angles are adjacent or vertical. Then find the value of x
The angles are ? Angles
The value of x is ?
Answer:
adjacent
x = 100
Step-by-step explanation:
These two angles share a ray in common. They are adjacent.
x + 80 = 180 Subtract 80 from both sides
x = 180 - 80
x = 100
There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?
Answer:
[tex]C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (-5,-1)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D = (2,3)[/tex]
Required
The coordinate of the fourth point (C)
The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.
The coordinate of such rectangle can be represented as:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_1)[/tex]
[tex]D = (x_2,y_2)[/tex]
By comparing the general coordinates with the given coordinates, we have:
[tex]x_1 = -5[/tex] --- see A and B
[tex]y_1 = -1[/tex] --- see A and C
[tex]x_2 = 2[/tex] ---- see C and D
[tex]y_2 = 3[/tex] --- see B and D
So, we have:
[tex]C = (x_2,y_1)[/tex]
[tex]C = (2,-1)[/tex]
Answer is:
C. (2, -1)
Need help please???
Answer:
y= [tex]\frac{3}{5}x[/tex] [tex]-\frac{26}{5}[/tex]
Step-by-step explanation:
x₁ y₁ m= slope
(2, -4) point-slope equation: y - y₁ = m( x - x₁)
y-(-4) = [tex]\frac{3}{5}[/tex]( x - 2)
y + 4 = [tex]\frac{3}{5} x[/tex] - [tex]\frac{6}{5}[/tex]
y = [tex]\frac{3}{5}x[/tex] - [tex]\frac{6}{5}[/tex] - [tex]\frac{20}{5}[/tex]
y = [tex]\frac{3}{5} x[/tex] - [tex]\frac{26}{5}[/tex]
What is the volume of the rectangular prism?
3 cm
3 cm
3 cm
Answer:
Step-by-step explanation:
The volume of a cube is s^3
s = 3
Volume = 3*3*3
Volume = 27 cm^3
how many degrees is a acute angle
Any angle that measures less than 90 degrees
the sum of 1+3+5+7+...+101=?
Answer:
.......117. hope it helps
f(x) = x2. What is g(x)?
A. g(x) = 4x²
B. g(x) = (1/4x)²
C. g(x) = (1/2x)²
D. g(x) = 1/4x²
Answer:
B. g(x) = (1/4x)²
Step-by-step explanation:
g(x) experiences a horizontal stretch where 0<|a|<1
This means we can eliminate A because that would be a horizontal compression since |a|>1
B seems to work because (1/4(4))^2=1
C does not work because you'll get 2 as your y-value
D does not work because you'd be taking 1/4 of x^2 which would give you 4.
Sally's savings account has $238 and she is withdrawing (taking money out) $17 each week to put gas in her car. How much money will Sally have after 5 weeks?
Answer:
$153
Step-by-step explanation:
A study9 compared personality characteristics between adult children of alcoholics and a control group matched on age and gender. For the 29 pairs of women, the authors reported a mean of 24.8 on the well-being measure for the children of alcoholics, and a mean of 29.0 for the control group. They reported t = 2.67 for the test comparing the means. Assuming that this is the result of a dependent-samples analysis, identify the df for the t test statistic, report the P-value, and interpret.
Answer:
df.= 28
P - value = 0.0124 < 0.05
There is a difference between the mean of the well-being measure for the children of alcoholics, and a mean of the control group.
Step-by-step explanation:
As the given test is dependent or paired test the degrees of freedom is n-1 = 20-1 = 28
The reported t = 2.67
The P value for ∝= 0.05 at calculated t= 2.67 and 28 d.f is 0.0124 which is less than 0.05 .
The null hypothesis is rejected.
The null hypothesis is that there is no difference between the means of the two samples.
H0: u1 = u2
The alternate hypotheis is accepted that there is difference between the means of the two samples.
Ha: u1≠ u2
There is a difference between the mean of the well-being measure for the children of alcoholics, and a mean of the control group.
Help plssss I can’t
Answer:
336 square units
Step-by-step explanation:
The formula for a triangle is 1/2 * height *base
Rammy has saved some money for a new bicycle helmet that costs $47, but needs to save more. He writes an addition equation with a variable to represent the amount of money that he still needs to save. Which must be true about Rammy's equation
An expression is shown below:
2x3y + 8xy − 4x2y − 16y
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Plz help, give good answer and get brainlest!!
Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
To graduate this semester, you must pass Statistics 314; and you estimate that you have an 85% chance of passing. You need to pass Math 272 or Math 444, each of which you have an 80% chance of passing: so you will take both in hopes that you will pass at least one. Further, you must pass German 320, which you believe you have a 90% chance of passing. Assuming your chances of passing each class you take are independent, what is your probability of graduating this semester
Answer:
Probability of graduating this semester is 0.7344
Step-by-step explanation:
Given the data in the question;
let A represent passing STAT-314
B represent passing at least in MATH-272 or MATH-444
M1 represent passing in MATH-272
M2 represent passing in MATH-444
C represent passing GERMAN-32
now
P( A ) = 0.85, P( C ) = 90, P( M1 ) = P( M2 ) = 0.8
P( B ) = P( pass at least one of either MATH-272 or MATH-444 ) = P( pass in MATH-272 but not MATH-444 ) + ( pass in MATH-444 but not in MATH 272) + P( pass both )
P( B ) = P( M1 ) × ( 1 - P( M2 ) ) + ( 1 - P( M1 ) ) × P( M2 ) + P( M1 ) × P( M2 )
we substitute
⇒ 0.8×0.2 + 0.2×0.8 + 0.8×0.8 = 0.16 + 0.16 + 0.64 = 0.96
∴ the probability of graduating this semester will be;
⇒ P( A ) × P( B ) × P( C )
we substitute
⇒ 0.85 × 0.96 × 90
⇒ 0.7344
Probability of graduating this semester is 0.7344
Two processes in a manufacturing line are performed manually: operation A and operation B. A random sample of 50 different assemblies using operation A shows that the sample average time per assembly is 8.05 minutes, with a population standard deviation of 1.36 minutes. A random sample of 38 different assemblies using operation B shows that the sample average time per assembly is 7.26 minutes, with a population standard deviation of 1.06 minutes.
Required:
For α = 0.10, is there enough evidence in these samples to declare that operation A takes significantly longer to perform than operation B?
Answer:
3.06
Step-by-step explanation:
The correct answer is - 3.06
Reason -
For sample A :
mean, [tex]\bar{x_{1} }[/tex] = 8.05
Standard deviation, [tex]\sigma_{1}[/tex] = 1.36
Size, [tex]n_{1}[/tex] = 50
For sample B :
mean, [tex]\bar{x_{2} }[/tex] = 7.26
Standard deviation, [tex]\sigma_{2}[/tex] = 1.06
Size, [tex]n_{2}[/tex] = 38
Now,
[tex]\bar{x_{1} }[/tex] - [tex]\bar{x_{2} }[/tex] = 8.05 - 7.26 = 0.79
Standard deviation error, SE = √([tex]\sigma_{1}[/tex]²/[tex]n_{1}[/tex] + [tex]\sigma_{2}[/tex]²/[tex]n_{2}[/tex]) = 0.2580
Now,
Z-statistic = ([tex]\bar{x_{1} }[/tex] - [tex]\bar{x_{2} }[/tex] )/ SE
= 0.79/0.2580
= 3.06
⇒Z-statistic = 3.06
myq-eimh-otm
a.l.l
a.l.o.u.l.d
Solve by Graphing: Y=4x-3 and y=-x+2
x+3.6= −4.75
Solve for x
Tell what you did to find x
Answer:
x=3.85
brainliest plssssssss
Step-by-step explanation:
Question:
x+3.6= −4.75
Step 1:
Subtract 3.6 from both sides of the equation
x+3.6-3.6=-4.75-3.6
Step 2:
Subtract the Numbers and simplify
x=3.85
Write the mix number as a fraction. 1 2/3 ||
Answer:
8/3
Step-by-step explanation:
The figure is the net for a rectangular prism. What is the surface area of the rectangular prism represented by the net?
Answer:
Solution given:
net surface area=9×(3+5+3+5)+2(3×5)=174in² is your answer.
TSA
2(LB+BH+LH)2(5×3+3×9+5×9)2(15+27+45)2(42+45)2(87)174in²6. An electrician needs to repair a lamp on a wall whose height is 55 m. The lamp
is 11 m below the top most point. She uses a ladder to reach the lamp as shown
in the figure below. If the ladder is inclined at 60 degrees to the ground, what is the length of the
ladder?
Answer:
first one is correct
Step-by-step explanation:
i need help with this math question
Answer:
it is S
Step-by-step explanation:
because it is being reflected on the X-axis
Answer:
point R
Step-by-step explanation:
If you move point R across the x-axis, and then up the y-axis, you meet point Q
What is 468,839 rounded to the nearest hundred thousand?
Step-by-step explanation:
468,839 rounded to the nearest hundred thousand ( 100,000 ) would be 500,00 since its above 50 and its 68.
Hopes this helps :)
GIVING BRAINLIEST!!!
Which summation formula is equivalent to the one below?
Answer:
The second summation, counting from the top.
Step-by-step explanation:
Remember the relation:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
The first summation is:
4*( (-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3)
4*( 1 - 1/2 + 1/4 - 1/8) = 2.5
Now let's analyze the options.
Let's look at option A, here we only have 2 to different powers, so we never can have a summation equal to 2.5, then we can discard that option.
Let's look at the next one (B), it will be equal to:
= (1/4)*( (-2)^4 + (-2)^3 + (-2)^2 + (-2)^1) =
= (1/4)*( 16 - 8 + 4 - 2) = 2.5
Then this summation is the one equivalent to the first one.
Answer:
B
Step-by-step explanation:
edg 2021