Answer:
3 percent because 8-5=3
Step-by-step explanation:
Answer:
37.5%
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.
what is the degree measure of f?
There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the bag
Answer: Number of winning tickets =7 and Number of losing tickets = 28 .
Step-by-step explanation:
Given: Total tickets = 35
The ratio of winning tickets to losing tickets = 1:4
Number of winning tickets = [tex]\dfrac{1}{1+4}\times35[/tex]
[tex]=\dfrac{1}{5}\times35\\\\=7[/tex]
Number of losing tickets = [tex]\dfrac{4}{5}\times35[/tex]
[tex]=4\times7=28[/tex]
Hence, Number of winning tickets =7 and Number of losing tickets = 28 .
Answer:
7 wining tickets and 28 losing tickets
Step-by-step explanation:
7th grade math help me pleaseeeee
Answer:
Monique is correct.
Step-by-step explanation:
You take the absolute value of both numbers (which means the positive version of it) and add that together.
7+17=24
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°
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.
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.
Find the simple interest earned after 5 years on $800 at an interest rate of 9
Answer: It would be $1160
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evaluate the expression a +7 when a=4, b=2, and c=8
Answer:
a + 7
so "a" is 4 so
4+7=11
Hope this helps!
If a=4 and the equation is a+7 then the equation would be, with the numbers plugged in, 4+7 which equals 11.
Answer: 11
Please please help me im really struggling
Answer: 85(with power of two)
Step-by-step explanation:
im a math nerd
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
For f(t)=t−2 and g(t)=t−5, find:
a) (f/g)(t)=
Step-by-step explanation:
[tex]f(t) = t - 2 \: \: \: \: \: \: \: \: \: g(t) = t - 5 \\ ( \frac{f}{g} )(t) = \frac{t - 2}{t - 5} [/tex]
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.
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
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%
Can anyone help it would mean alot im struggling right now
Answer:
what do you need? ^-^ I can help you
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
Please i need help
A point on a wheel has a constant angular velocity of 3 rad/s. The angle turned through in 15 seconds is:
45 rad
10π
5 rad
90π rad
true or false ------- y-intercept is where a point crosses the x-axis
Answer:
false
Step-by-step explanation:
that would be x-intercept
Find the value of the missing angle
Find the sum of all integers between −102 and 104.
The integers from -102 to 102 would all cancel, leaving you with
(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104
= 103 + 104
= 207
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!
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:
<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]
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.
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
ANSWER PLS OR NOTHING WILL HAPPEN
Answer: 8
Step-by-step explanation:
Answer:
[tex]( - 4)( - 2) = \boxed{8}[/tex]
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).
David Read 156 books Victoria read 98 books more than David how many has Victoria read
Step-by-step explanation:
David read 156 books
Victoria read 98 books more than David
Victoria read 156 + 98 = 254 books
