Answer:
Results are below.
Step-by-step explanation:
It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.
First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= 500
Interest rate (i)= 0.11/12= 0.0092
Number of months (n)= (26 - 19)*12= 84
FV= {500*[(1.0092^84) - 1]} / 0.0092
FV= $62,944.74
Now, the future value of the investment of Ben at age 65:
FV= PV*(1 + i)^n
n= (65 - 26)*12= 468 months
FV= 62,944.74*(1.0092^468)
FV= $4,574,131.31
Finally, the future value of the investment for Arthur:
i= 0.0092
n= (65 - 27)*12= 456
A= 500
FV= {500*[(1.0092^456) - 1]} / 0.0092
FV= $3,484,032.07
12
Which number sentence is true?
A
B.
4y2 + 2 = (4y x 4y) + 2
4y2 + 2 = (4y + y) + 2
4y2 + 2 = 4(y + y) + 2
4y? + 2 = 4(y x y) + 2
с
D
Answer:
D - 4(y x y) + 2
Step-by-step explanation:
(y x y) + y2
4 x y2 = 4y2
which gives you 4y2 + 2
A yield sign is an equilateral triangle with a side length of 36 inches. What is the height (h) of the sign? Leave your answer in simplest radical form.
Answer:
18[tex]\sqrt{3}[/tex] inches
Step-by-step explanation:
Applying,
Pythagoras theorem,
a²= b²+c²
Where a = hypotenus, b = base of the triangle, c = height.
make c the subject of the equation
c = √(a²-b²)................. Equation 2
From the diagram attached,
Given: a = 36 in, b = (36/2) in = 18 in
Substitute these values into equation 2
c = √(36²-18²)
c = √(1296-324)
c = √(972)
c = √(972)
c = √(324×3)
c = 18[tex]\sqrt{3}[/tex] inches
Adding and subtracting unlike fractions in word problems
Ben is making waffles for his friends. the recipe calls for 2/3 cup of bleached flour and 1/4 cup of wheat flour. what is the total amount of flour Ben needs to make the waffles?
what operation is needed to solve this problem?
A) -
B) +
C) ÷
D) ×
Please help, nobody is helping I need to find surface area
Answer:
A) 147.6 sq m
Step-by-step explanation:
Separate the pyramided out into 4 triangles and add those
3 of them (sides) will be the same
[tex]A=h\frac{b}{2} \\A=10\frac{4}{2} \\A=20[/tex]
This is one half of the side, multiply by 2 to get the area of the entire side, 40 square m.
The area of all 3 sides together is 40*3 = 120 sq m
For your base, your height will be 6.9 and your base is 4
A = 13.8 sq m
multiply by 2 again for the entire base
A=27.6 sq m
Now add both
120 + 27.6
What is the value of x?
Answer:
It all depends.
Step-by-step explanation:
If you could post an image or something to help us along, I could probably help you.
Which of the following BEST summarizes how to use the multiplication property of equality to isolate the
variable p below?
A. divide only the right side of the equation by 2
B. multiply only the right side of the equation by 2
C. divide both sides of the equation by -2
D. multiply both sides of the equation by -2
Answer: A is the answer
Step-by-step explanation:
A person is skateboarding to their local skate shop to pick up some sick rims. They skate at 8 miles per hour. The store is 2.5 miles away. How long will it take them to get to the store in hours?
Answer: 0.3125 hours
Step-by-step explanation:
The formula for time taken to cover a distance is:
= Distance / Speed
Distance = 2.5 miles
Speed = 8 miles per hour
Time taken = 2.5 / 8
= 0.3125 hours
In minutes this is:
= 0.3125 * 60 mins
= 19 mins approx
What is the value of x?
56
89
360
104
If the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.
Given the measure of three angles 124°,76°,71°.
We are required to find the value of x which is an angle of a quadrilateral.
Quadrilateral is a figure or shape that is having four sides and four angles.
We know that the sum of all four angles of a quadrilateral is 360°.
So the following expression will appear from the above rule:
x+124+76+71=360
Now solve the aove expression for the value of x.
x+271=360
x=360-271
x=89
Hence if the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.
Learn more about angles at https://brainly.com/question/25716982
#SPJ1
One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only. About how many complete times can Mike fertilize his lawn with one bag of fertilizer?
Answer:
Mike fertilize his lawn with one bag of fertilizer = 19.33 times
Step-by-step explanation:
Given - One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only.
To find - About how many complete times can Mike fertilize his lawn with one bag of fertilizer?
Solution -
Given that,
1 bag of fertilizer can cover approximately 6,000 square feet.
Now,
Mike's Lawn = 300 square feet
He applied fertilizer to 2/3 of his lawn only.
i.e
He applied fertilizer to (2/3)×300 = 200 square feet of lawn
Now,
Total fertilizer left to cover = 6,000 - 200 = 5800 square feet
Now,
Let x be the times for which he fertilize his lawn fully
SO,
300x = 5,800
⇒3x = 58
⇒x = 19.33
∴ we get
Mike fertilize his lawn with one bag of fertilizer = 19.33 times
please help me with this question
hey! please help i’ll give brainliest
Answer:
Answer is A
Step-by-step explanation:
smart
Answer:
i. A government by the people is the answer.
Step-by-step explanation:
Hope it helps you:)
!!!!WORTH 50 POINTS!!!! ANSWER SOON!
Match the following vocabulary with the definitions.
1. IRA
2. 403(b)
3. 401(k)
4. 529 plan
5. retirement account
1. A plan for setting aside money to be spent after retirement
2. A saving plan for education designed to help set aside funds to pay for future college costs
3. A retirement plan available to employees of nonprofit organizations
4. A retirement plan that some corporations offer their employees
5. A retirement account that lets you save and invest money tax free until you withdraw it when you retire
what is the product 7/3×5/12
7/3 × 5/12 = 35/36
....................................
Answer:
♕ [tex] \large{ \tt{EXPLANATION}} : [/tex]
☄ Here are the answers of some question which should be known before solving the given problem :
❊ How do you multiply one fraction by another ?
⤑ To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term if needed.
✎ [tex] \large{ \tt{SOLUTION}} : [/tex]
[tex] \large{ ❃\bf{ \: \frac{7}{3} \times \frac{5}{12}}} [/tex]
[tex] \large{ \bf{↬ \frac{7 \times 5}{3 \times 12}}} [/tex]
[tex] \large{ \bf{ \boxed{↬ \frac{35}{36}}}} [/tex]
[tex] \boxed{ \boxed { \large{ \tt{ ↭ OUR \: FINAL \: ANSWER: \boxed{ \underline{ \underline{\tt{ \frac{35}{36}}}}}}} }}[/tex]
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ツ Hope I helped! ♡
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please help and show work
Answer:
Step-by-step explanation:
x=4
tangent lines from the same point to a circle are congruent in length, so we can say that
5x+8 = 8x-4
5x -5x +8 = 8x - 5x -4
8 = 3x - 4
8+4 = 3x -4 + 4
3x = 12
3x/3 = 12/3
x=4
DEFINATION OF HABIT IN 50 WORLDS?
Answer:
Something you do frequently or on a regular basis is known as a habit.
When he gets nervous, he has a cute habit of licking his lips. [includes]
...an investigation into the eating habits of people in the United Kingdom.
Step-by-step explanation:
William only had 1 3/4 cups of flour so he can only make 2/3 of a batch of biscuits how much flour is needed for a full batch of biscuits
Answer: 2 5/8 Cups
Step-by-step explanation:
Cups of flour he have = 1 3/4
= 7/4
Batch of biscuits made = 2/3
Flour to make a full batch
7/4 / 2/3 = 2 1/8
= 2 5/8 Cups
Hope it helps
(2x - 7y )( 2x + 7y )
Answer:
Step-by-step explanation:
(2x-7y)(2x+7y)
2x(2x+7y)-7y(2x+7y)
4x^2+14xy-14xy-49y^2
4x^2-49y^2
(2x)^2-(7y)^2
Answer:
[tex] {4x}^{2} - 49y^{2} [/tex]
Step-by-step explanation:
Use (a - b) (a + b) = a^2 -b^2 to simplify the product.
[tex](2x)^{2} - (7y)^{2} [/tex]
To raise the product to a power, raise each factor to that power:
[tex] {4x}^{2} - (7y)^{2} \\ {4x}^{2} - 49y^{2} [/tex]
Carlitos purchased $13.90 of roasted almonds to make his own almond milk.He purchased 5 pounds of almonds.Assuming the cost per pound is the same,what was the cost per pound of the almonds?
what is the reciprocal of 4 1/3?
Answer:
0.23076923076
You can search for any mathematical expression,
easy algebra question below first correct answer gets brainliest
Pls help anyone plsss
3 times flipped, two sides fo a coin heads and tails, 2/3 meaning most likely
Solve for 2. Round to the nearest tenth of a degree, if necessary, 7.2 D 10 9.4. B
Answer:
x=50°
use the sine rule to find the missing angle "x"
Which is the best approximation of √11
1. 3.5
2. 2.5
3 5
4. 5.5
Step-by-step explanation:
√11 nearest to √9 prefect square
√9 = 3
√11 = 3.5 approx
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Zoe the goat is tied by a rope to one corner of a 15 by 25 meter rectangular barn in the middle of a large, grassy field. Over what area of the field can Zoe graze if the rope is 10 meters
Answer: [tex]78.55\ m^2[/tex]
Step-by-step explanation:
Given
The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.
Zoe can graze in an area equal to quadrant of circle with radius 10 m
Area of grazing is
[tex]\Rightarrow \dfrac{1}{4}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{4}\\\\\Rightarrow \dfrac{\pi \times 10^2}{4}=78.55\ m^2[/tex]
There are 65 chairs set up for a movie. they are arranged into 5. How many chairs are in each row
help plz it’s a test
NEED THIS IN TEN MINS HELP
NO LINKS OR YOU WILL BE REPORTED
Answer:
a = 34m²
Step-by-step explanation:
Rectangle
a = 3 * 6 = 18
Trapezoid
a = 4 * (2 + 6)/2 = 16
Combined
a = 18 + 16
a = 34
The figure shows a rectangle ABCD.
E lies on AB such that ADE = 51"
and DCE = 68.
68
Find
(1) AÊD
Answer:
Answer:
The answer is 39°
Step-by-step explanation:
BAD = 90°
ADE = 51°
AED = 180° - BAD + ADE = 180° - 90° + 51°
= 39°
39° is the Final answer
#AnswerforTrees
Answer:
39° is the required answer.
Step-by-step explanation:
BAD = 90°
ADE = 51°
AED = 180° - (BAD + ADE)
→ 180° - (90° + 51°)
→ 180° - 141° = 39°
Participants enter a research study with unique characteristics that produce different scores from one person to another. For an independent-measures study, these individual differences can cause problems. How can these problems be eliminated or reduced with a repeated-measures study? Check all that apply. In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions. In a repeated-measures study, you eliminate extraneous changes to the individuals in the sample over time. In a repeated-measures study, both samples consist of the same individuals, eliminating systematic differences between the two samples, which bias the results. In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.
Answer: In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions.
• In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.
In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.
Step-by-step explanation:
An independent measures design, is an experimental design whereby the condition of the experiment is such that there are different group of participants. Based on the information given, the problems can be eliminated or reduced with a repeated-measures study through:
• In a repeated-measures study, individual differences do not add to the variance of the scores because the same participants are used in all treatment conditions
• In a repeated-measures study, you eliminate the need for the population distribution of difference scores to be normal.
Therefore, the correct options are A and D.
This is hard I need help
Answer:
140.22 ft²Step-by-step explanation:
Surface area is the sum of areas of 4 triangles.
Each triangle has:
b = 9 ft, h = 7.79 ftArea of each triangle:
A = 1/2bhA = 1/2*9*7.79 = 35.055 ft²Surface area:
S = 4*35.055 = 140.22 ft²What’s the answer hurry
Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.