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.
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
Write the mix number as a fraction. 1 2/3 ||
Answer:
8/3
Step-by-step explanation:
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)
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
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
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
Which values are solutions to the inequality below? Check all that apply.
x² < 64
Answer:
C, D, and E work,
Step-by-step explanation:
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".
how many degrees is a acute angle
Any angle that measures less than 90 degrees
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
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 plssss I can’t
Answer:
336 square units
Step-by-step explanation:
The formula for a triangle is 1/2 * height *base
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.
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)174in²i 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
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
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:
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! =)
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
the sum of 1+3+5+7+...+101=?
Answer:
.......117. hope it helps
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
6. 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:
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.
Solve by Graphing: Y=4x-3 and y=-x+2
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]
an expression is shown. 9,537 ÷ 33 what is the value of the expresion?
Answer:
9537÷33=289
why?
33×289=9537
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
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)