Answers
Answer:
$798
Step-by-step explanation:
Jack invested $7100 compounded continuously at an interest rate of 3⅝% which is 0.03625
Formula for future value of continuous compounding is;
FV = PVe^(rt)
Where;
FV is future value
PV is present value
r is interest rate
t is time
After 19 years;
FV = 7100 × e^(0.03625 × 19)
FV = $14137.697
Henry invested $7100 compounded monthly at an interest rate of 3⅜% which is 0.03375.
Formula for FV of monthly compounding is;
FV = PV(1 + i)^(n)
FV = 7100(1 + 0.03375)^(19)
FV = $13339.922
Thus, amount Jack has more than Henry = 14137.697 - 13339.922 = $797.775
Approximating to the nearest dollar gives $798
Related Questions
what is the sum of the probabilities of 2 complementary events
-1
0
1
0.5
Answers
Answer:
1
Step-by-step explanation:
The sum of probability of two complementary events is always equal to 1. This happens because the probability of a complementary event is always determined by deducting the probability of a given event from 1.
can any of you help me with this? Like fast?
Branson Creek Middle School has decided to make fitness a key message to their students in the upcoming school year. As a result, they will be participating in a national fitness program. To participate, they must randomly select 15 students in the 5th grade and record their exercise time each day. The data (in minutes) are shown.
85, 80, 76, 78, 82, 88, 80, 80, 110, 85, 85, 82, 83, 88, 76
Describe the distribution of the data.
Determine the median and mean of the data.
Which measure better represents a typical value in the data set? Explain.
Answers
Answer:
data from minimum to maximum :
76 76 78 80 80 80 82 82 83 85 85 85 88 88 110
n= 15 , so the median is X8 = 82 minutes
mean =
(76+76+78+80+80+ 80 +82+ 82+ 83+ 85+ 85+ 85 +88 +88+ 110) / 15 = (1,258)/15 = 83.87 minutes
in order to get higher standard its better use mean as a typical value.
2. Aaron baked two identical cakes. He cut one into 9 equal slices and the other into 19 equal slices.
a) Show that ⅔ of the 9-slice cake gives the asme number of pieces as 1/
3 of the 18 slice cake.
Answers
2/3 x 9 = 6 slices
1/3 x 18 = 6 slices
Hence they give the same number of slices.
Annika has a circular garden with a radius of 14 feet. One fourth of the garden is planted with yellow roses. what is the area not planted in yellow roses? Use 22/7 for pi.
Answers
Answer:A
Step-by-step explanation:
3/4*22/7*14^2
=3/4*22/7*14*14
=3*11*2*7
=33*2*7
=66*7
=462
Answer:
462
Step-by-step explanation:
How many real roots does the equation (x^2+1)(x-2)=0 have?
A: 3
B: 1
C: 0
D: 2
Answers
anyone kno the answer???
Answers
Please help with this it's due in 30 minutes! Please answer AT LEAST half of questions (and explain how you did it if you only answer half or less) you will receive 30 points! I will be reporting people/bots. Or you can EXPLAIN it to me so I can just do it myself thank you! (:
Answers
Answer:
easy cut the hole shape into samller versions of the shapes and than at the end when u have all the numbers add them to the hart
Step-by-step explanation:
Answer
u=69
d=42
f=35
e=35
g=55
h=45
i=45
m=120
k=15
L=75
j=15
p=21
q=55
t=42
o=69
n=21
a=60
b=60
c=60
Step-by-step explanation:
angles in a triangle add up to 180 degrees
the little squares in the corner mean its a right angle (90 degrees)
the two lines like in the op triangle mean the two angles downwards are the same.
angles in a semicircle add up to 180 degrees
3 lines mean all angles are the exact same
(Sorry i forgot 2 angles dont know which ones i forgot but with the info i gave you should be able to work those two out :)
f(x) = x^2 - 16 What are the solutions for x when f of x equals 9?
Answers
Answer:
65
Step-by-step explanation:
can someone please help me with this i got school tmr
Answers
Here's the solution,
the opposite angles of parallelogram are equal, so, Angle G = Angle E
=》3x + 11 = 5x - 9
=》5x - 3x = 11 + 9
=》2x = 20
=》x = 10
value of x = 10
now, Angle G = 5x - 9
=》(5 × 10) - 9
=》50 - 9
=》41°
Angle G and Angle F are supplementary, so
=》 41° + Angle F = 180°
=》Angle F = 180° - 41°
=》Angle F = 139°
Dave Goes into a car and buys 2 cups of coffee and a piece of cake each cup of coffee cost to pound 50 5K cost £3.85 to the 10th power mode he thinks he'll get more than £1.50 change
Answers
Answer:
Dave will get £1.60 change. Hence Dave is right
Step-by-step explanation:
Complete question
Dave goes into a cafe and buys 2 cups of coffee and a piece of cake.
Each
cup of coffee costs £2.75
The cake costs £2.90
Dave pays with a £10 note.
He thinks he will get more than £1.50 in change.
Is Dave correct?
Solution
Cost of one cup of coffee = £2.75
Cost of two cup of coffee = 2* £2.75 = £ 5.5
Cost of cake = £2.90
Total amount given by Dave = £10
Amount left with Dave = £10 -£ 5.5 - £2.90 = £1.60
Dave will get £1.60 change. Hence Dave is right
Find f(–3) if f(x) = –3x – 5.
A –10
B –4
C 4
D 12
Answers
can someone help me pleasee ???
Answers
Answer:
A. x=6 ; y=3 radical 3
Step-by-step explanation:
30-60-90 triangle theorem
Help me on this one for 10 points
Answers
Answer:
m ACG = 17
x = 24
Step-by-step explanation:
[tex]1)\ m\ ACG = x - 7 = 90 - 73 = 17[/tex]
[tex]2)\ x - 7 = 17 => x = 17 + 7 = 24[/tex]
m ACG=17
x=24
Explanation:
Plsssss help meeee
This is so hard
Answers
Answer:
C. 6
May the 4th be with you :)
Answer:
x = 6
4(8-6)=8
4(2)=8
8=8
- Three athletic clubs offer different membership costs. The first club charges $20
per month. The second club charges $20 per month plus an application fee of
$10. The third club charges $20 per month and offers a $15.00 reduction in the
first month's membership fees. Write the equations that model the total cost of
membership at the three clubs. Describe how the second and third graphs are
related to the graph of the first club.
Answers
y = 20x
y = 20x + 10
y = 20x - 15
The second and third graphs are related to the first graph by having parallel slope, due to the increase in cost total is $20/month.
Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equation y = 2.5 x + 4 intersect the circle with radius 5 and center (0, 4)?
Answers
Answer: The required point = (1.857,8.643)
Step-by-step explanation:
Equation of circle with center (h,k) and radius r: [tex](x-h)^2+(y-k)^2=r^2[/tex]
Given: Radius = 5 , center = (0,4)
Eqation of circle: [tex](x-0)^2+(y-4)^2=5^2[/tex]
[tex]x^2+(y-4)^2=25[/tex]
[tex]x^2+(2.5x+4-4)^2=25[/tex] [Using equation y = 2.5 x + 4 ]
[tex]x^2+(2.5x)^2=25[/tex]
[tex]x^2+6.25x^2=25[/tex]
[tex]7.25x^2=25[/tex]
[tex]x^2=3.44827586207[/tex]
[tex]x=1.857[/tex]
[tex]y= 2.5(1.857)+4[/tex]
[tex]=8.6425[/tex]
Hence, the required point = (1.857,8.643)
Find the slope of the line that passes through the points
(-5,-6) and (5,10)
Answers
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (10- -6)/(5 - -5)
= (10+6)(5+5)
= 16/10
= 8/5
1.6
Step-by-step explanation:
change in y ÷ change in x
(10--6)=16
(5--5)=10
16÷10=1.6
Someone please help me thank you
Answers
slope = rise/run
rise = -3 ... move down 3 units
run = 4 .... move to the right 4 units
============================================
Work Shown:
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (-17-(-2))/(24-4)
m = (-17+2)/(24-4)
m = -15/20
m = -3/4 is the slope
----------------
It basically means "move down 3 units, and move to the right 4 units"
So, slope = rise/run = -3/4
rise = -3 = move down 3 units
run = 4 = move to the right 4
You could express the slope as a decimal, and that would be -3/4 = -0.75, but you lose the rise and run values. So I recommend you keep the fraction.
Another problem with decimals is that sometimes we could have approximations that aren't exact. For example, if the slope was 2/3, then that approximates to 0.667 which may cause rounding errors down the line. Though I should point out that decimals do have their advantages in some cases.
A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
a.
120
c.
24
b.
4
d.
16
Answers
Answer:
The answer is 24 in my opinion
Step-by-step explanation:
1)1 2 3 4
2)1 2 4 3
3)1 3 2 4
4)1 3 4 2
5)1 4 3 2
6)1 4 2 3
Just multiply the 4 with 6 then you get the answer. Hope this is correct.Answer:
C-24
Step-by-step explanation:
A committee consisting of faculty members and students is to be formed. Every committee position has the same duties and voting rights. There are faculty members and students eligible to serve on the committee. In how many ways can the committee be formed?
Answers
Answer:
Total number of ways of making the core committee = 3150
Step-by-step explanation:
Complete Question
A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 6 faculty members and 10 students eligible to serve on the committee. In how many ways can the committee be formed?
Solution
Total Faculty members = 6
Total Students = 10
Out of 6 faculty members, 2 will be chosen for the committee
While 4 students will be chosen out of 10 to be in the committee.
Hence,
Total number of ways of making the core committee = 6C2 * 10C4
= 15*210
= 3150
PLEASE HELP WITH ALGEBRA!!!
Answers
Answer: aₙ = 3 + 4ⁿ⁻¹
So the formula would be:
aₙ = 3 + 4ⁿ⁻¹
Where a₁ = 3
Common Ratio (r) = 4
And n = the term number that needs to be found out
Step-by-step explanation:
Let's check if the answer is right:
To find the 1st number in the term we can substitute 1 in for n in the equation:
a₁ = 3 + 4¹⁻¹
a₁ = 3 + 4⁰
a₁ = 3 + 1
a₁ = 4
And if going back and checking the first number in the sequence given is indeed 4, therefore this equation is correct
Hope this helps!
Walter buys a new truck for $38,000. The truck loses value at a rate of 16% per year. Which equation models the value, V(t), in dollars, of the truck after t years?
A.V(t) = 38000(0.16)t B. V(t) = 38000(0.84)t
C.V(t) = 38000(1.16)t D. V(t) = 38000(-0.84)t
Answers
Answer:
V(t) = 38000(0.84)^t
Step-by-step explanation:
Please help find the solution.
Answers
Answer:
(-3,-5)
Step-by-step explanation:
The solution to the system of equation is where the two graphs intersect.
They intersect at x=-3 y=-5
A cyclist travels 6 miles in 45 minutes.
What is his average speed in mph? URGENT URGENT
Answers
Answer:
8 mph
Step-by-step explanation:
45 minutes = 6 miles
1 hour = 8 miles
what is 5 x 5936489208456378
Answers
Answer:
2.9682446e+16
Step-by-step explanation:
Find the radius of a circle whose area is 576π m²
Answers
the radius of the circle would be 91.67
13.54055................
Emma reads at a constant rate. In 6 hours, Emma read a 130-page book and a 90-page book. If h represents the number of hours it takes Emma to read 400 pages, which proportion can be used to solve for h?
A:130/90=6/h C:400/6=200/h
B:130/6=400/h D:220/6=400/h
Answers
Answer:
D
Step-by-step explanation:
i'm doing the activity rn and got it right
Answer:
the answer is d
Step-by-step explanation:
any help would be cool thanks, will mark branilyist
Answers
Answer:
1/5 should be the answer
for every 2 teaspoons of vanilla it is 2/5, so for one it has to be 1/5 because 1/5 cup plus 1/5 cup will be 2/5 for 2 teaspoons.
What is the volume of this prism?
Answers
Answer: 24 cubic units
The formula for a prism is l x w x h. So 4 x 2 x 3.
Hope it helps :)
HELP ASAP !!!! CAN SOMEONE HELP ME?!?!
Answers
Answer:
a
Step-by-step explanation:
square formula for area is [tex]s^{4}[/tex]