Answer:
All angles in a triangle add up to 360
360-100-50 = 210
x = 210
Step-by-step explanation:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
Answer:
The correct option is a. Amy’s balance would be greater than Hank’s in the end.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
a. Amy’s balance would be greater than Hank’s in the end.
b. Amy’s balance is $5,142 and Hank’s balance is $3,207.
c. Hank’s balance would be greater than Amy’s in the end.
d. The investment and balance would be the same.
e. None of these are true
The explanation to the answer is now given as follows:
The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where;
For Amy:
FV = Future value or balance in the end = ?
M = Monthly investment = $500
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 40 years * 12 months = 480
Substituting the values into equation (1), we have:
FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)
FV = $500 * 1,991.49
FV = $995,745.37
Therefore, Amy’s balance would be $995,745.37 in the end.
For Hank:
FV = Future value or balance in the end = ?
M = Monthly investment = $1,000
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 20 years * 12 months = 240
Substituting the values into equation (1), we have:
FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)
FV = $1,000 * 462.04
FV = $462,040.90
Therefore, Hank’s balance would be $462,040.90 in the end.
Conclusion
Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.
the perimeter of a rectangle pool is 56 meters the length of the pool is 16 Meters what is the area of the pool
The area of the rectangle pool is 192 square feet
Answer:
160meters^2
Step-by-step explanation:
You know the perimeter is 56, and there are four sides. Two of the sides are the same (16 and 16), and the other two sides are the same. Add 16 to 16 and then subtract it from 56 to get the remaining two sides. 56 - 32 = 20. 20 needs to be split in half to find the other two sides. Now you know the sides are 16, 16, 10, and 10. Multiply Length by width (16 times 10) and you get 160 meters (squared) as the total area.
A single die is rolled twice. The 36 equally likely outcomes are shown to the right. Find the probability of getting two even numbers
Answer:
1/4
Step-by-step explanation:
The combinations where both numbers are even are:
2, 2
2, 4
2, 6
4, 2
4, 4
4, 6
6, 2
6, 4
6, 6
There's a total of 9 combinations. So the probability is 9/36 = 1/4.
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
Find the slope of x=(5,6), y=(0,2)
Answer:
4/5
Step-by-step explanation:
the equation of slope is y1-y2/ x1-x2
you get 4/5
Find the value of the missing angle
PLEASE HELP IF CORRECT I WILL MARK BRAINLIST!!!! PLZZZ
Answer:
3/4 !
Step-by-step explanation:
If you use RISE/RUN, by counting up, then to the right, you end up with 3/4 (positive slope)! If you need further of an explanation, you can ask!
i will brainlest this don't answer if out the real answe thank you
You will repost if you take my point this is not free comment if you have a question
Answer:
1) Product of 2 x 3/5 is 6/5 or 1 and 1/5.
2) 20/9 or 2 and 2/9
3) 15/8 or 1 and 7/8
4) 15/6 or 2 and 3/6 or 2 and 1/2
5) 6/4 or 1 and 2/4 or 1 and 1/2
Step-by-step explanation:
You multiply the whole number by the numerator (top number) and then divide the result by the denominator(bottom number). Afterward, simplify the fraction if you can, for example, 6/9. Both the numerator and denominator can be divided by 3. Therefore, the answer to that example is 2/3.
Answer:
1) Product of 2 x 3/5 is 6/5 or 1 and 1/5.
2) 20/9 or 2 and 2/9
3) 15/8 or 1 and 7/8
4) 15/6 or 2 and 3/6 or 2 and 1/2
5) 6/4 or 1 and 2/4 or 1 and 1/2
Step-by-step explanation:
Find the simple interest earned after 5 years on $800 at an interest rate of 9
Answer: It would be $1160
Equation
Answer
7w = 21
m7= 5
6b = -42
x5=10
8b = 96
y2= -20
-6c = -36
4p = 48
m-11= -3
k-2= 4
12g = -60
-3w = -39
m-9=20
w4= -60
17b = 51
Can someone please HELP
1. The sum of 6 and the quotient of a number and 4 is 10.
Step-by-step explanation:
20÷4=20/4=5 is the quotient I'm pretty sure
Answer:
34 Sorry if im kinda late
Step-by-step explanation
The equation is 6+x/4=10. now we figure out what x=? there are a lot of ways to figure out the answer this is what im gonna do first figure out what divided by 4 equals 10. multiply 10 times 4 you get 40 which means 40 divided by 4 equals 10 now subtract 6 from 40 and you get 34.
Please mark brainliest.
true or false ------- y-intercept is where a point crosses the x-axis
Answer:
false
Step-by-step explanation:
that would be x-intercept
The following table shows the data collected from students in grades 3 and 4 in an elementary school about their favorite types of pets.
Which of the following statements is supported by the table?
1.)The percentage of students in grade 3 who chose dogs as their favorite pet was 55%.
2.)The percentage of students who chose cats as their favorite pet was 60%.
3.)There were more students surveyed in grade 3 than in grade 4.
4.)Birds were the type of pet chosen least often by the students in grade 4.
5.)Dogs were the type of pet chosen most often by the students at the elementary school.
Answer:
5.)Dogs were the type of pet chosen most often by the students at the elementary school.
Step-by-step explanation:
Dogs have the most out of every pet at 110
From the two-way table, the correct option is:
5.) Dogs were the type of pet chosen most often by the students at the elementary school.
Statement 1:
105 students in grade 3.Of those, 60 prefer dogs.The percentage is:[tex]P = \frac{60}{105} \times 100\% = 57\%[/tex]
It is not 55%, thus, statement 1 is false.Statement 2:
Total of 215 students.Of those, 60 prefer cats.The percentage is:[tex]P = \frac{60}{215} \times 100\% = 29\%[/tex]
It is not 60%, thus, statement 2 is false.Grade 3 had 105 students, grade 4 had 110 students, thus statement 3 is false.The type of pet chosen the least often by grade 4 students was other, thus statement 4 is false.Cats were chosen 60 times, dogs 110, birds 20 and other 25, thus dogs were chosen the most often, and statement 5 is correct.A similar problem is given at https://brainly.com/question/23719681
help plssss hurryyyv need this asap
Answer:
y= (-3/2)x+8
Step-by-step explanation:
Could you please help?
Answer:
52 degrees (which agrees with the last answer option).
Step-by-step explanation:
You need to subtract from 90 degrees (the measure of the larger angle < DCF) the measure of angle <ECF (which is 38) to find the measure of the angle that is left <DCE:
< DCE = 90 - 38 = 52 degrees (which agrees with the last answer option).
When Anton learned to read Braille,he read 12 words per minute.Six weeks later he could read 50% faster.Two months later,he increased his speed by 50%again.How many words per minute could he read?
Answer:
24
Step-by-step explanation:
Given: Line NM is parallel to line OQ, like NE is congruent to line OQ, Line NR is perpendicular to line MP, line OP is perpendicular to line MP
Prove: NR congruent to OP
Answer:
Step-by-step explanation:
From the picture attached,
In ΔNMR and ΔOQP,
NM║OQ, and MP is the transversal intersecting these lines at M and Q.
∠NMR ≅ ∠OQP [Given]
m∠NRM = m∠OPQ = 90° [Given]
ΔNMR ~ ΔOQP [By AA property of similarity]
Therefore, corresponding sides of the similar triangles will be proportional.
[tex]\frac{NM}{OQ}=\frac{MR}{QP}=\frac{NR}{OP}[/tex]
Since, NM ≅ OQ [Given]
Therefore, NR ≅ OP
Charlie bought 2 3/4 pounds of pears for $.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes
Answer:
5.94
Step-by-step explanation:
Multiply 2.75 by $0.76 to get $2.09
Multiply 2.75 by $1.40 to get $3.85
Add $3.85 and $2.09 to get $5.94
The money in dollars is 5.94 and cents 594 did Charlie pay for the pears and grapes
We have given that,
2.75 pound of pears cost $ 0.76
Therefore,
2.75×0.76=2.09.....(1)
$2.75 pound of grapes cost $1.40
Then the cost of grapes is
2.75× 1.40=$3.85..........(2)
add value of equation 1 and equation 2 we will get
2.09+3.85=$5.94
So the charlie has to pay 5.94 in dollar
Next we have to find in cents
What is the value of 1 dollar in cents?
[tex]$1=100[/tex]cent
multiply both side by 5.94
[tex]$1* 5.94=100 * 5.94[/tex]
[tex]5.94 dollars=594 cents[/tex]
Therefore,
The money in dollars is 5.94 and cents 594 did Charlie pay for the pears and grapes.
To learn about the unit conversion of dollar and cents visit:
https://brainly.com/question/26140937
12x+y when x=3 and y=52
88 I believe 12(3) = 36 + 52 = 88
Please please help me im really struggling
Answer: 85(with power of two)
Step-by-step explanation:
im a math nerd
what is the degree measure of f?
the cement truck can pour 20 pounds of cement I 45 seconds how long will it take the cement truck to pour 150 pounds of cement
what is x
4 x 3x = 48
Answer:
x=4
Step-by-step explanation:
4 x (3x4)=48
you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4
Which scenario describes this picture?
Answer:
It"s the second answer, "An 8-foot ramp leans....".
Step-by-step explanation:
Answer:
Step-by-step explanation:
⊕ An 8-foot ramp leans against a building 5 feet away.
cos x = [tex]\frac{5}{8}[/tex] ⇒ x ≈ 51.3178°
Write whether the scenario represents a linear function or an exponential function? Explain why.
A water tank is filled at a rate of 2 gallons per minute.
A vine grows 6 inches every week.
A species of fly doubles its population every month during the summer.
A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
The value of a popular painting has been increasing by 12% each year for the past 10 years.
An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both problems 1 and 2, what is the percent of students who solved problem 2 given that they solved problem 1
Answer:
63%
Step-by-step explanation:
37% did not solve problem 2
100% - 37% = 63%
<br />[tex] \sqrt{2x - 5 } = 0[/tex]<br />What is x?
Answer:
[tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
In order to solve for "x" we proceed to raise both sides of the equal sign to the power 2 in order to eliminate the root:
[tex]\sqrt{2x-5} = 0\\(\sqrt{2x-5})^2 = 0^2\\2x - 5=0\\2x = 5\\x=\frac{5}{2}[/tex]
helppp plsss i need help so i can go play bloxburg
Answer:
Answer is C, 1/2 pound.
Step-by-step explanation:
If you take 2 1/2 divided by 5 you get 0.5 and 0.5 as a fraction is 1/2
Stay safe! Hope this helps!
compute the sum of the first 40 positive multiples of 3
Answer:
fvhfbevhebeo
Step-by-step explanation:
Answer: 2460
Step-by-step explanation: Used a calculator, and added from 3 x 1, since the answer is the first 40 positive multiples.
Another way is: 3 + 6 + 9 + ... + 120. There are 40 numbers, so 20 pairs of 123. 123 x 20 + 2460 :)
HOPE THIS HELPS <3
A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
How many square meters he can cover with 6.6 liters of paint?
12)/1.2=120/12=10m^2
4.8/1.2=48/12=4m^2
6.6/1.2=66/12=11/2=5.5m^2
this is another way you can do it
1. 12/1.2 times as much paint, so 12/1.2 times as much area.
2. 6.6/1.2 times as much paint, so 6.6/1.2 times as much area.
3. 4.8/1.2 times as much paint, so 4.8/1.2 times as much area.
