Answer:
value of Johnny's investments today, at age 50, is approximately 18.39 dollars.....................
Step-by-step explanation:
To find the present value of Johnny's investments, you will need to use the formula for continuous compound interest:
PV = A / (1 + r)^twhere PV is the present value, A is the final amount, r is the annual interest rate, and t is the number of years.
In this case, the final amount is 50 dollars, the annual interest rate is 6.75 percent, and the number of years is 30 (since Johnny is now 50 years old and he invested the money at age 20). Plugging these values into the formula, we get:PV = 50 / (1 + 0.0675)^30Solving this equation gives a present value of approximately 18.39 dollars. This means that the value of Johnny's investments today, at age 50, is approximately 18.39 dollars, given the original investment amount and the interest rate.
It is important to note that this calculation assumes that the interest is compounded continuously, which means that the interest is compounded infinitely often over the course of the year. This results in a slightly higher present value than if the interest were compounded annually or quarterly.
Part B Point S is located at 5/4 on the number line. A student claims that the location of point S is to the right of the location of point P on the number line. *Explain whether the students claim is correct or in correct. *Write an equality that describes the relationship between the value of point P and the value of point S.
Number line can be found in the picture attached below
Answer:
The claim is incorrect ; Point S will be located to the left of Point P
2.5 > 1.25
Step-by-step explanation:
Location of point S = 5/4 = 1 1/4 = 1.25
From the number line ; location of point P = 2.5
Point S is lesser than P, therefore, point S would be located to the left of point P on the number line.
Inequality that describes the relationship between the value of point P and point S ;
Point P = 2.5 ; Point S = 1.25
Point P > Point S
2.5 > 1.25
In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.
Answer:
Ben score -60
Sam score -20
Step-by-step explanation:
let Sam score be X
let Ben score be 3x
X+3x =80
4x =80
X=80/4
X =20 ........Sam score
Ben score=3x
=3 ×20
=60
A printer makes more than 3 copies of a book every hour. How many books can the printer make in 4 hours?
Answer:
12
Step-by-step explanation:
4 x 3 is 12
Personal Finance
The Social Security tax is 6.2% and the Medicare tax is 1.45% of your annual income. How
much would you pay per year to FICA if your annual earnings were $47,000?
9514 1404 393
Answer:
$3,595.50
Step-by-step explanation:
FICA is the sum of Social Security and Medicare taxes.
7.65% × $47,000 = $3,595.50
On earnings of $47,000, you would pay $3,595.50 to FICA.
15 chocolate were distributed between raju and sanju in the ratio 2:3 . How many chocolates did raju receive?
Answer:
6chocolates
Step-by-step explanation:
Given
The total number of chocolate = 15chocolates
If it is divide into ratio 2:3
total ratio = 2+3
Total ratio = 5
Number of chocolate raju receives = 2/5 * 15
Number of chocolate raju receives = 2 * 3
Number of chocolate raju receives = 6chocolates
The number of chocolates that Raju received are; 6 chocolates
ProportionWe are told that;
Number of chocolates distributed = 15
Ratio of sharing between Raju and sanju = 2:3
Thus, fraction to be received by both of them are;
For Raju = 2/(2 + 3) = 2/5For Sanju = 3/(2 + 3) = 3/5Thus;
Amount of chocolates for Rajus = 2/5 × 15 = 6
In conclusion, Raju received 6 chocolates.
Read more about proportion at; https://brainly.com/question/1781657
which are the correct answer? need help
Answer:
1D 2B 3A
Step-by-step explanation:
-9 x 2 1/2 What is the value of the expression
Answer:
i think its -22.5
Step-by-step explanation:
i just multiplied -9 x 2 1/2 and got -22.5
******WORTH 85 POINTS******WILL MARK BRAINLIEST*****PLEASE ANSWER ALL QUESTIONS****
A catering company is setting up tables for a big event that will host 360 people. When they set up the tables they need 2 forks for each
child and 5 forks for each adult. The company ordered a total of 1470 forks. Set up a system of equations involving the number of adults,
a, and the number of children, c, and solve to find out how many of each attended the event.
A) Create an equation to represent the breakdown of people attending this event (children and adults).
B) Create an equation to model the number of forks used at this event.
C) Solve the system you created and write down the number of Children and Adults that attended.
180 c
70 a
360 divided by 2 = 180 c
360 divided by 5 = 70 a
2) If there was a discount of 20%, what is the final deconstructed
percent? *
A.0.8%
B.120%
C.20%
D.80%
Answer:
Step-by-step explanation:
Please help, i dont understand this
Answer:
lgma
Step-by-step explanation:
PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. ONLY FIND THE PERIMITER PLZ
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JUST THE PERIMETER PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Can you make a different question with an image attached?
No links, downloads, or anything of the sort. I will give brainliest!!!
What is 27 1/2% as a fraction in simplest form?
A. 11/55
B. 11/20
C. 55/100
D. 11/40
Answer:
The answer is D
Step-by-step explanation:
Answer:
D: 11/40 is correct
Sorry I didn't answer before, the scammer guy got to it before me. Have a great day!
4) Han's cell phone plan costs $95 to start. Then there is a $55 charge each month.
a. What is the total cost (startup fee and monthly charge) to use the cell phone plan for 1
month?
b. Is there a proportional relationship between time and the cost of the cell phone plan?
Explain how you know.
c. What is the total cost for x months? (Write an equation for the situation.)(help ASAP pleassseeee)
Step-by-step explanation:
a. What is the total cost (startup fee and monthly charge) to use the cell phone plan for 1 month?
answer for a: $95 + $55 = $150
b. Is there a proportional relationship between time and the cost of the cell phone plan?
answer for b: There is a proportional relationship between time and the cost of the cell phone plan because each month of time that passes, your phone will be charged $55. We know this because every month of Han's cell phone plan costs $55.
c. What is the total cost for x months? (Write an equation for the situation.)
answer for c: 95 + 55x = y
Help me please with this fast!
Answer:
63°
Step-by-step explanation:
The line = 180
so 180-117
= 63°
Answer:
The value of a is 63°
Step-by-step explanation:
180-117=63°.
Which compound inequality is represented by the graph?
-5 -4 -3 -2 -1 0
1
2
3
4.
5
-2
-25 X < 4
X<-2 or x 24
XS-2 or x> 4
Side note: I accidentally clicked that answer I don’t know if it’s right or not
Given:
The graph of a compound inequality is given.
To find:
The compound inequality.
Solution:
From the given graph it is clear that an arrow approaches towards left from [tex]x=-2[/tex] and there is an open circle at [tex]x=-2[/tex].
It means all the values less than [tex]-2[/tex] are included in the solution set but [tex]x=-2[/tex] is not included.
[tex]x<-2[/tex] ...(i)
An arrow approaches towards right from [tex]x=4[/tex] and there is a closed circle at [tex]x=4[/tex].
It means all the values greater than of equal to 4 are included in the solution set and [tex]x=4[/tex] is also included.
[tex]x\geq 4[/tex] ...(ii)
Using (i) and (ii), we get the compound inequality.
[tex]x<-2[/tex] or [tex]x\geq 4[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
Plz help fast will mark brainliest!!!
Answer:
C) The finish line is 9 meters east of the starting line
Explanation:
The distance North with X and the distance South with Z cancel each other out, leaving us with just the distance East with Y = 6 km East
Use the volume formula to find the volume of the prism.
2
FIN
PLS HELP DUE TODAY!!!!
Answer:
25
Step-by-step explanation:
Volume = (Area of the base)(height)
So area of base is width*length = 5/2*4=10=> multiply AoB*height 10*5/2=25
Proof! Help please *no links*
The zookeeper find the lions in the zoo daily during the week the line graph shows the amount of meat in kilograms fair to the liens on each day of the week find the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday
The changes is is the same amount of meat from Thursday to Friday is ___
Kilograms of meat
The rate of change is the same amount of meat from Thursday to Friday is 14 Kilograms of meat
Here, the line graph shows the amount of meat in kilograms fed to the lions on each day of the week.
From the line graph the amount of meat fed to the lines on Thursday is 58 kilograms
And the amount of meat fed to the lines on Thursday is 72 kilograms
Let x represents the rate of change in the amount of meat from Thursday to Friday.
So, the value of x would be,
x = 72 - 58
x = 14 kilograms
Thus, the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday = 14 kilograms
Learn more about the rate of change here:
https://brainly.com/question/29067103
#SPJ1
PLZ HELPPP MEEEE
Combine the radicals
Answer:
C) [tex]17\sqrt{13}[/tex]
Step-by-step explanation:
[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]
These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth. erimeter = 20m Area = 19.6m ^ 2 rimeter = 34m Area=[ ? ] m^ 2
Answer:
Area of big diagram = 33.32 m²
Step-by-step explanation:
Given:
Both given diagram is similar
Perimeter of small diagram = 20 m
Area of small diagram = 19.6 m²
Perimeter of big diagram = 34 m
Find:
Area of big diagram
Computation:
Both given diagram is similar So,
Perimeter of small diagram / Area of small diagram = Perimeter of big diagram / Area of big diagram
20 / 19.6 = 34 / Area of big diagram
Area of big diagram = [19.6/20][34]
Area of big diagram = 33.32 m²
Answer:
56.6
Step-by-step explanation:
this equation (34/20)^2 * 19.6 = 56.644
If u have 2 games then went to game stop and bought nba2k21, UFC4, Cyber punk 2027, and Avengers, then go back home and got on your game and then went to the playstation app and bought the same games that you just had got from game stop, how many games would have now?
Answer:
You would have 20 games in total.
Step-by-step explanation:
Mark me Brainliest?
can someone please help with parts a, b, and c (picture included)
Answer:
Step-by-step explanation:
1 soulotion one soulotion info soulotion no solution
Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly
Answer:
33.3%
Step-by-step explanation:
If all of them are equal out of 100%
that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3
The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL? Triangle L N P. Side L N is 12, N M is 10, M L is 14. Triangle P R Q. Side P R is 28, R Q is 24, Q P is 20. RQ PQ PR LM
Answer:
LN corresponds to RQ
Step-by-step explanation:
If we look at the diagram we find that LN corresponds to RQ, MN corresponds to QP and ML corresponds to PR .
The both triangles are similar as PQR is 2 times of MNL .
Therefore
PQR= 2MNL
PR= 2ML
28= 2(14)
QP= 2MN
20 = 2(10)
RQ =2 LN
24= 2(12)
Answer:
RQ
Step-by-step explanation:
keep it simple, also i just did get it right only quiz just now. You can believe me :D
I got 100 percent on my quiz!
Question is in picture
I NEED THIS ANSWER FAST PLZ!!!
Answer:
64 is your answer
Step-by-step explanation:
Pls helpppppp
Ann’s mom is putting up border on the walls of Ann’s room. Her room is 14 feet long and 8 feet wide. How much border will be needed to go all the way around the room?
Answer:
112 square feet
Step-by-step explanation:
14 x 8 = 112
Answer:
112 feet
Step-by-step explanation:
l x w
I need your help asap please
Answer:
Yes they are in proportion because after being divided, they are equal.
Step-by-step explanation:
15 : 60 =
1 : 4
40 : 160
1 : 4
Answer:
Yes
Step-by-step explanation:
Calculate 60/15=4
160/40=4,
so the proportion is same.
right trapezoid has two equal sides true or false
Answer:
True
Step-by-step explanation:
Please help me this is due tomorrow and I don’t know what to do
Answer:
180-80=100
100-38=62
MJL=62
angle(m)=80
Answer:
<MJL = 62°
<m = 80°
x = 4
Step-by-step explanation:
in ∆JKL total angle aum is 180° and to find <L we have to subtract the given angles in this triangle from 180
that is
<L = 180-80-38 = 62°
then <MJL = 62° (alternative interior angle)
<JLM= 38° (alternative interior angle)
then <m = 180-62-38 = 80°
6x = 24 ( opposite sides are equal in parallelogram)
x= 24/6
x = 4