Answer:
John is preparing to retire, and he knows he’ll receive a pension from his company. The pension will pay John $25,000 per year for 20 years. A lump-sum payment of $500,000 today is also an option for John, and the account John would use for that money would pay interest of 3% per year, compounded annually.
Since the present value of all the yearly pension payments is "$371,937"
, John should choose the "lump-sum" option for his pension.
Step-by-step explanation:
I got it right on Plato
Answer:
$371,937 and lump-sum
Step-by-step explanation:
you have 1,000,000 number cubes, each measuring one inch on a side. if you arranged the cubes on the floor to make a square what would it's dimension be
Answer: 1000 in.
Step-by-step explanation:
Given
The dimension of the small cube is [tex]1\ in.[/tex]
No of the cubes is [tex]10^6[/tex]
If the small cubes are arranged on the floor
The area of the cubes is
[tex]\Rightarrow 10^6\times 1^2\ in.^2[/tex]
Suppose the side length of a large cube is a
[tex]\therefore a^2=10^6\times 1^2\\\\\Rightarrow a=1000\ in.[/tex]
Please help! Will give brainliest.
Answer:
2 (B)
Step-by-step explanation:
Area of circle formula= pi r^2
Radius of circle= diameter / 2
radius= 6
3.14x6^2 = about 113.04
Volume= base x height
So, height = volume/base
226/113.04 = 2
Answer= B. 2
8.
The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2ℓ + 2w to find the length of the frame if the width is 19 inches.
A. 15 in.
B. 17 in.
C. 20 in.
D. 19 in.
Answer:
B. 17 in.
Step-by-step explanation:
2l + 2w = 72
2l + 2(19) = 72
2l + 38 = 72
2l = 34
l = 17
Hope this helps!
Find the values of a and b so that the solution of the linear system is (-9,1).
ax + by = -31
ax – by = -41
Answer:
Step-by-step explanation:
we can write -9 instead of x and y=1 instead of 1
so we write solution again
-9a+1b=-31
-9a-1b=-41
-18a=-72
a=4
we should write 4 instead of a
-9(4)+1b=-31
-36+b=-31
b=5
a=4
Your drawer contains 6 black socks and 8 white socks you randomly choose 2 socks without putting any back. What is the probability that both socks are black
Answer:
Step-by-step explanation:
First, you have to find the total number of socks. The total is 14. Now, since you choose 2 socks out of 14 in total, the probability is 2/14 or about 14%. To find the percent, just divide the numerator by the denominator. The answer you get is in decimal form. Multiply the decimal by 100. Then, there is your percent.
There is space for 120 students to go on a field trip. Currently, 74 students have signed up. Write and solve an inequality to find how many more students can sign up for the field trip.
Please help
Answer:
46
Step-by-step explanation:
[tex]120 - 74 = 46[/tex]
hdjdjdhruehrbfjfjenrnrjdnd
Answer:
1, 3, and 4 which means 2 is the answer.
Step-by-step explanation:
Answer:
the first option (3 units to the right of 0)
Step-by-step explanation:
-3 on a number line is 3 units behind 0, which is to the left
Which of these systems of equations has no solution? A 3a−5b=12 4a−9b=14 B 3a−5b=14 4a−9b=14 C 4a−9b=12 4a−9b=12 D 4a−9b=12 4a−9b=14
Answer:
Step-by-step explanation:
A
In Triangle QRS, X is the midpoint of QR, Y is the midpoint of RS, and Z is the midpoint of QS.
Also, XR = 5, YS = 7, and QS = 20.
What is the perimeter of the Triangle XYZ?
Answer:
Step-by-step explanation:
I just answered this for someone else... here is the same answer I gave them
QR + RS +SQ = perimeter
2(XR) + 2(YS) + QS = perimeter ( b/c multiplication is communicative SQ=QS)
2*5 + 2 * 7 + 20 = perimeter
10 + 14 + 20 = p
44 = p
The yearly salaries for each of four employees at Mattress city are shown.
Which statement is NOT supported by the data?
F. The average distance between each salary and the mean salary is $8,250.
G. The salary of the employee that has been with the company the longest is the largest.
H. The mean salary for an employee of Mattress City $39,250.
J. The salaries for employees at Mattress city show a variation from the mean that is greater than $6,000.
Answer:
i have the same problem :(
Step-by-step explanation:
have you gotten an answer yet?
Option J is not supported by the data
What is mean value ?The mean of a data set is actually the average value which is found by adding all numbers in the data set and then dividing by the number of values in the set.
How to find which options is not supported?The mean values of the salaries= $(50000+45000+32000+30000)/4
=$39250
Clearly we can see option H is correct.
Distance between first salary and the mean is $|50000 - 39250| =$10750Distance between second salary and the mean= $|45000-39250|=$5750Distance between third salary and the mean is $|32000-39250|=$7250Distance between fourth salary and the mean is $|30000-39250|=$9250So, average distance between each salary and mean salary is
$(10750+5750+7250+9250)/4 =$8250
Clearly, option F is correct also.
Option J is not correct because the variation of second salary with the mean is $5750 which is less than $6000.
So, option J is not supported.
Find out more about 'Mean value (Average)' here: https://brainly.com/question/20118982
#SPJ2
It’s question 2
Help
Answer:
The answer to this one could be 8.2 for x
Step-by-step explanation:
Hope this Helped
What is 1,000,000 x 1,000,000
Will give brainliest.
Answer: 1e+12
Step-by-step explanation:
Answer:
[tex]1000000 \times 1000000 \\ = 1000000000000[/tex]
It's 1 Million *1 Million
=1 Trillion (According to USA)
HELP PLEASE BOTH QUESTIONS
ILL MARK BRAINLIST
Answer:
Sorry but all I know is number 7 is x=3 I dont know how to explain
3.01 = [-2.8 - (-4.7)] + e
Answer:
This expression is false
Step-by-step explanation:
At the end of our work, we get:
3.01 = 4.61828182
This is false.
Pancho built a cabinet shaped like a rectangular prism. The length of the base is 6 inches, and the width is 70 inches. What is the area of the base of the cabinet in square inches?
Answer:
420in^2
Step-by-step explanation:
Given data
Length of base= 6 in
Widht of base= 70 in
We know that area= Length*Width
substitute
Area= 6*70
Area= 420 in^2
Hence the area of the base is 420in^2
Based on her recipe, Elena knows that 8 servings of
granola have 1,600 calories.
1. If she eats 6 servings of granola, how many calories
does she eat?
2. If she wants to eat 300 calories of granola, how many
servings should she eat?
3. Write an equation to represent the relationship
between the number of calories and the number of
servings of granola.
Answer:
1. 1200
2. 1.5 servings
3. 1 serving= 200 calories.
Step-by-step explanation: 1600 divided by 8 is 200.
I NEED HELP ASAP!!!!!! WHOEVER ANSWERS WILL GET BRAINLIEST.
Answer:
[tex]x^{11}[/tex], 8[tex]x^{6}[/tex][tex]y^{9}[/tex], 16[tex]x^{8}[/tex]-[tex]b^{8}[/tex]
Step-by-step explanation:
When multiplying exponents, add them.
5 + 6 = 11
[tex]x^{11}[/tex]
When it is in parenthesis, distribute to everything.
2³[tex]x^{2 * 3}[/tex][tex]y^{3 * 3}[/tex]
8[tex]x^{6}[/tex][tex]y^{9}[/tex]
Same as above, subtract fractions.
[tex]\frac{2^{4}x^{8} }{b^{8} }[/tex]
16[tex]x^{8}[/tex]-[tex]b^{8}[/tex]
What is 1+1
A: 100
B: 200
C: 300
D: 3
Answer:
None of the above.
Step-by-step explanation:
1 + 1 = 2, but 2 is not a choice.
Answer:
What is 1+1 = E
Step-by-step explanation:
Help me with this I don’t understand.
What is the length of PR?
B
175"
75
5
55°
A
X
Answer:
C. 6
Step-by-step explanation:
If...=50,what is the value of x ?
the answer is A plus or minus square root of 50
What is the measure of
Answer:
it is 70 degrees because if you count by tens as it does count by tens you would need to count from point b to c.
hope this helped.:)
10th GRADE
GEOMETRY
PLEASE HELP
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I will fail if I don’t get this done and it is so confusing. Math is just ending me right now. :(
What question do you need to get or is it all?
Juan Carlos has been asked to find the distance between two points ( -3, 2) and (12, 10)on a coordinate grid. How many units are the legs of the right triangle?
Answer:
The legs of right triangle are of 17 units
Step-by-step explanation:
The two points are as follows -
Point A ( -3, 2)
Point B (12, 10)
The distance between the two points is as follows -
[tex]\sqrt{(12-(-3))^2 + (10-2)^2} \\\sqrt{225 + 64} \\17[/tex]
The legs of right triangle are of 17 units
What is the solution to -418-3x) 2 6x - 8?
O X2
O xs-1/
O X 24
O x 34
Answer:
O X 24
Step-by-step explanation:
i think this is the right answer
9.5 inches
sreball tournament and were awarded this trophy
4.0 inches
9.5 inches
What is the volume of the trophy? Let I 3.14. Round the answer to the nearest hundredth.
O A 543.15 in
OB. 172.97 in
O c. 733 32 in
OD 206.63 in
Right now, it's colder than 80ºF outside. Which inequality represents t, the temperature outside?n have?
Answer:
t<80°
Step-by-step explanation:
if the value is less than, use <
please help this is do tommorow
Answer:
[tex]x \alpha y[/tex]
that is the variation
x=ky
The radius of a frisbee is 5 inches. What is the circumference of the frisbee in terms of (pi)?
Answer:
10π inches
Step-by-step explanation:
C = 2πr
C = 2π(5)
C = 10π ≈ 31.42