Answer:
$6,800
Step-by-step explanation:
The interest earn after 5 years will be $6800.
It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.
We have to find out the interest earn.
What do you mean by interest ?
Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.
As per the question ;
Investment made by Huang = $720 for five years
At end of five years , account balance = $50000.
So ;
Five years = 60 months
and the investment is an annuity every month for five years.
If Huang invests $720 every month for 5 years then total investment is ;
= $720 × 60
= $43200
And account balance at end of 5 years = $ 50000
So ;
Interest earn will be ;
= $50000 - $43200
= $6800
Thus , the interest earn after 5 years will be $6800.
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Question 4 Incorrect answer. Incorrect. Try again. Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x Overscript bar EndScripts Subscript 1 Baseline equals 289.30 and and another random sample of 16 gears from the second supplier results in x Overscript bar EndScripts Subscript 2 Baseline equals 321.50 and Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers
Answer:
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
Step-by-step explanation:
The given data is
Sample1 mean = x1` = 289.3
Sample 1 size = n1= 10
Sample 1 std. dev= s1= 22.5
Sample2 mean = x2` = 321.5
Sample 2 size = n2= 16
Sample 2 std. dev= s2= 21
1)Formulate the null and alternate hypothesis as
H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂
2)The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
where degrees of freedom = d.f=
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
3) the significance level chosen is ∝= 0.05
4) Calculating the d.f
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]
= 18
5) the critical region for ∝= 0.05 for 18 d.f = ±2.101 for two sided test
6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 289.3- 321.5/√21²/10 + 22.5²/16
t= -32.2/√44.1+31.64
t= -32.2/8.0729
t= -3.9886
7) Conclusion
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A
THANK YOU!!
Answer:x=18
Step-by-step explanation:
if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V
4z + 8 - 6=
7z ÷ 4 + 5x=
y² ÷ (3z) =
I NEED HELP :(
Answer:
1: 14z+2
2: 7z/4 + 5x
3: y²/3z
1/2 ÷ 3 = 4 2/3 ÷ x. Solve the proportion
Answer:
x=28
Step-by-step explanation:
i hope my answer is correct. it's been a while since i've done this.
I think it will be b but I don’t know
Answer:
yeah it is b
acute and scalene
Step-by-step explanation:
scalene means none of the sides equal
and also all sides are acute angles
Answer:
yep you are correct it would be answer b
Step-by-step explanation:
hope this helped you
PLEASE ANSWER ASAP! NO SCAM LINKS! OR REPORTED.
Answer:
im pretty sure its A
Step-by-step explanation:
help please, also explain
Firstly, It says that the two triangles are similar .
The scale factor is 2 as 12 / 6 = 2
25 + 85 = 110
180 - 110 = 70.
70 degrees
Answer:
A: 70
Step-by-step explanation:
Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.
Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.
Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.
Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.
The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
Answer:
Apple costs $0.26
and orange costs $0.32
sorry i don't have time to explain but if u have doubts don't hesitate to ask
Find the area of the garden.
Answer:
28yd²
Step-by-step explanation:
area of square = side *side
=6*6= 36²
area of rectangle (patio)= length* breadth
=4*2=8²
area of garden= area of square - area of rectangle
=36-8
=28 yd²
Answer:
28 sq. ydStep-by-step explanation:
For finding the area of the garden :First Case:
Given,
Side of the big square = 6 yd
Therefore,
Area of the big square = side × side
= 6yd × 6yd
[tex] = 36 {yd}^{2} [/tex]
Second Case:
Length of the patio = 4 yd
Breadth of the patio = 2 yd
Therefore,
Area of the patio = Length × Breadth
= 4yd × 2yd
[tex] = 8 {yd}^{2} [/tex]
Last Case:
According to first and second cases,
Area of the garden
= Area of the big square - Area of the patio
[tex] = 36 {yd}^{2} - 8 {yd}^{2} [/tex]
[tex] = 28 {yd}^{2} [/tex]
Hence,Required area of the garden is 28 sq. yd (Ans)
Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?
Answer:
Table CStep-by-step explanation:
This is the proportional relationship:
y = kxWe have x = 3, y = 24, then k is:
24 = 3k k = 8The table will look as:
x = 1 ⇒ y = 1*8 = 8x = 2 ⇒ y = 2*8 = 16x = 5 ⇒ y = 5*8 = 40Correct choice is C
Answer:
c
Step-by-step explanation:
For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
Answer: green
Step-by-step explanation:
Which is the graph of f(x)=(x-1)(x+4)?
Answer:
I think its c but it could also be b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Edge 2021
Here it is sry and thx!
Answer:
B
Step-by-step explanation:
hard to explain xD
Answer:
#2
Step-by-step explanation:
1x60+45=105
2x60+45=165
3x60+45=225
4x60+45=285
Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.
option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.
What is Absolute value of a number?
Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.
In other words Absolute value is the modulus of any number.
A ) False : the absolute value of the positive number will increase with increase in positive number.
B ) False : the absolute value of the positive number will decreases with decreases in positive number.
C) False : the absolute value of the negative number will increase with increase in negative number.
D) TRUE: the absolute value of the negative number will decreases with decreases in negative number.
Therefore, option D is true.
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If a triangle has a perimeter of 36 inches, which of the following would be the perimeter of the triangle
formed by connecting its midpoints?
(1) 18 inches
(3) 24 inches
(2) 20 inches
(4) 72 inches
Answer:
1) 18 inches
Step-by-step explanation:
By the Midsegment Theorem: A midsegment connecting two sides of a triangle is parallel to the third side and is half as long the third side.
ans: 36/2 = 18
the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3
The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]
Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]
V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]
∴ r = 1
[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]
[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]
[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex] cm/s
Surface area, [tex]$A = 4 \pi r^2$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]
[tex]$=14 \ cm^2/s $[/tex]
solve plsssssssssssss
Answer:
7/24 is x and 24/25 is y :)
Step-by-step explanation:
hopefully that helped
Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is
PLEASE HELP ME!!!
Ben ran 2/3 of a mile and walked 5/12 of a mile. How much farther did Ben run than walk?
Answer:
1.016 of a mile.
Step-by-step explanation:
Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
5th grade math. correct answer will be marked brainliest
Answer:
sorry but the picture if you put one on here isn't showing up maybe Repost and I could answer
ANSWER THE QUESTION IN THE PIC BELOW PLEASE
sorry if the pic is blurry if u can't tell what it says beside the line it says 4 in and at the bottom it says 8 in
solve the equation
3b/7 -1 = 5
Answer:
b = 14
Step-by-step explanation:
The required solution to the equation 3b/7 - 1 = 5 is b = 14.
What is simplification?Simplification involves directions of arithmetic and algebra to remove disproportionate terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
Here,
To solve for b, we need to isolate b on one side of the equation.
First, we add 1 to both sides of the equation to get:
3b/7 = 5 + 1
Simplifying the right-hand side:
3b/7 = 6
Next, we multiply both sides by 7/3:
(7/3) * (3b/7) = (7/3) * 6
Simplifying:
b = 14
Therefore, the solution to the equation 3b/7 - 1 = 5 is b = 14.
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A farmer is worried that a recent salmonella outbreak may have come from the carrots on his farm. He wants to test the carrots at the farm, but it will ruin the crop if he tests all of them.
a. If the farm has 10,000 carrots growing, describe a method that would
produce a random sample of 10 plants.
b. Why would a random sample be useful in this situation?
Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe
There are 20 monkeys in a zoo. There are 4 times as many lions monkeys as lions. How many lions are there
HELP ME PLEASE SOME ONE!
Answer:
240 inches cubed
I see you have 4 mins left
Emily bought a pack of pencils. Before she sharpened them, she measured one pencil and it was 0.22 m long When she sharpened one, she shaved off 1.2 cm. How many centimeters is her sharpened pencil?
Answer:
20.8cm
Step-by-step explanation:
1 meter is 100cm
.022m is 22cm
22cm-1.2cm=20.8cm
38 POINTS FOR THIS
pls answer some of these questions or even all ty
Answer:
there are no questions
Step-by-step explanation:
but may i still please have a brainliest
if not then it is ok
write the questions in the comments
Answer:
What questions?
I don't see anything
please answer it's easy
Answer:
did not see that coming
Step-by-step explanation:
Got rickrolled
Johnny was able to drive an average of 29 miles per hour faster on his car after the traffic cleared. He drove 30 miles in traffic before it cleared and the drove another 176 miles. If the total trip took 6 hours, then what was his average speed in traffic?
Answer:
15 mph
Step-by-step explanation:
Before traffic cleared:
distance = 30 miles
average speed = s
time = t
d = st
30 = st
After traffic cleared:
distance = 176 miles
average speed = s + 29
time = 6 - t
d = st
176 = (s + 29)(6 - t)
30 = st
s = 30/t
176 = (30/t + 29)(6 - t)
176t = (30 + 29t)(6 - t)
176t = 180 - 30t + 174t - 29t^2
29t^2 + 32t - 180 = 0
(29t + 90)(t - 2) = 0
t = -90/29 or t = 2
Time must be a positive number, so we discard the solution t = -90/29.
t = 2
30 = st
30 = s * 2
s = 15
Answer: 15 mph