Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
Donna packs 14 pounds of nuts in bags . Each bag has 1/4 pound of nuts Which equation shows the number of bags Donna packed with all the nuts
Answer:
Step-by-step explanation:
Where are the equations to choose from?
14 pounds × (1 bag)/(¼ pound) = 56 bags
Whats 8 2.5% of 75?Write your answer as a decimal.
Which expression is equivalent to 1/4(12x + 16) + 3x + 7
Please help!!!
a. 15/4x + 7
b. 15x + 23
c. 6x + 23
d. 6x + 11
Answer:
the answer is 6x+11
Step-by-step explanation:
1/4(12+16)+3x+7
1/4×4(3x+4)+3x+7
(3x+4)+3x+7
3x+4+3x+7
6x+11
y= 5x - 7
-3x - 2y = -12
Solve each system of equations using the substitution method
Give the solution in (x,y) form
Point form: (2,3) and x=2 and y=3
EXPRESA EN METROS :
A= 3 km 8 hm 5 dam
B= 8 dam 5 m 7 cm
C= 1 m 4 dm 6 cm 7mm
Answer:b
Step-by-step explanation:
A country trying to decide whether to join the United Nations must determine whether it is willing to: O A. give up its own national laws in favor of international laws set by the UN. O B. occasionally go against its own interests in favor of international priorities. O C. supply a large number of military forces to the UN standing army. O D. leave any regional intergovernmental organizations it has already joined.
Answer:
to guarantee equality for all
Step-by-step explanation:
The league of nations was created to prevent another global war
Write a polynomial in standard form that represents the area of the shaded region.
Answer:
Area of the smaller square is x * x, which is x^2
Area of the larger square is (x + 7)(x + 7), which is x^2 + 14x + 49
The area of the shaded area = Area of the larger square - Area of the smaller square
Area of the shaded region = x^2 + 14x + 49 - x^2
Area of the shaded region is 14x + 49.
find the quotient. -105/15=
Answer:
-7
Step-by-step explanation:
Hope this helped! :)
plz I NEEEEED HELP NOWWWW PLZ PLZ PLZ
Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.
Which means :
[tex] =\tt 3p + 1 + p + 7 = 180[/tex]
Let us solve that equation to find the value of p and the two angles :
[tex] =\tt 3p + 1 + p + 7 = 180[/tex]
[tex] =\tt 3p + p + 1 + 7 = 180[/tex]
[tex] =\tt 4p + 8 = 180[/tex]
[tex] = \tt4p = 180 - 8[/tex]
[tex] = \tt4p = 172[/tex]
[tex] =\tt p = \frac{172}{4} [/tex]
[tex]\hookrightarrow \tt \color{plum}p = 43[/tex]
Thus, value of p = 43
Measure of angle (p+7)° :
[tex] =\tt 43 + 7[/tex]
[tex]\tt\color{plum}angle \: (p + 7)° =\tt 50°[/tex]
Measure of angle (3p+1)° :
[tex] =\tt 43 \times 3 + 1[/tex]
[tex] = \tt129 + 1[/tex]
[tex]\tt\color{plum}angle \: (3p + 1)° = 130°[/tex]
Thus, the measure of the larger angle = 130°
Therefore, the correct option is (a) 130
A survey was conducted at a local restaurant about the type of seating preferred by males and females. The results of the survey are shown i
the table.
Indoor Outdoor Total
Males
23
65
88
Females
47
13
60
Total
70
78
148
Approximately what percentage of those surveyed preferred indoor seating?
A. 47%
B. 53%
C. 70%
D. 78%
Answer:
c: 70
Step-by-step explanation:
Solve for a
Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]
[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]
[tex] \sqrt{28} [/tex]
Answer:
[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]
Step-by-step explanation:Pythagorean theorems can be applied to solve this problem.
Pythagorean theorem:
[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]
⇒ c²-b²=a²
8²-6²=28²
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract[tex]\sf{8^2-6^2}[/tex]
Solve by exponents from left to right numbers.
[tex]\sf{8^2=8*8=64}[/tex]
[tex]\sf{6^2=36}[/tex]
Then, subtract.
[tex]\sf{64-36=\boxed{\sf{28}}[/tex]
a=√28
Therefore, the correct answer is a=√28.
I hope this helps you! Let me know if my answer is wrong or not.
COULD I GET GET SOME HELP PLZ? REWARD BRAINLIEST
Answer:
1. D) -4/3 or 4/3
2. A) -6 or 8
Step-by-step explanation:
Answer:
x=4/3 or -4/3
x=8,-6
Step-by-step explanation:
Answeerrrrr asapppooaoaoaoao please need helppppp
Answer:
1a. Yes
1b. No
1c. Yes
Step-by-step explanation:
Answer:
1a. 2/5 x 25 = 50/5 = 10 and 10 = 10 so yes
1b. 5 + 5 = 10 10 does not equal 15 so no
1c. 5 x 5 = 25 and 25 = 25 so yes
Solve -3.5=x-4 for x using the multiplication propertiy of equality
Answer:
Hello! :) have a good day!
X= 0.5
Answer:
x = 0.5
Step-by-step explanation:
Can anybody help me please? it’s a major and i’m very confused.
Kimberly ran her first race in 3.15 hours. She ran her second race in 2.90 hours. Rounding each time to
the nearest hour, about how many hours did it take Kimberly to run both races?
Answer:
It took her approximately 6.1 hours to run both races.
Step-by-step explanation:
3.15 plus 2.9 equals 6.05, rounded to the tenths place is 6.1.
I really need someone's help please!
Answer:
Felipe subtracted 3x from both sides of the equation.
Answer:
-2
Step-by-step explanation:
first, you will subtract the 2x from 3x then take 6 away from - 8 so it would be 8 and subtract it from 6 because of where the = is and get your answer
uhhh just look at the screenshot then answer
Answer:
The Independent is the Number of Hours while the Dependent is the Number of Miles
Equation: y= 50x
Step-by-step explanation:
I Hope this helped
Solve for x . x/3 +x/4
The answer is
[tex] \frac{7x}{12} [/tex]
Mrs. Norton wants to buy health insurance for her family, Plan A costs $620.50 per month. Plan B costs $597.20 per month. How much will she save in 12 months by choosing Plan B instead of
Plan A?
A $7,446.00
B $7,166.40
C $320.60
D $279.60
Answer:
Step-by-step explanation:
620.50 * 12 = 7,446
597.20 * 12 = 7,116.4
7446 - 7116.4 = 329.6
There are 8 employees in The game shops sales team. Last month , they sold a total of g games . One of the sales teams member , Chris , sold
Answer:
This question is not complete.
Step-by-step explanation:
Find the 9th term of the geometric sequence 6, -24, 96,
Step-by-step explanation:
the process is show in the above picture.
2 Do the following calculations
a) 55,8965 + 12,443 x 3
b) (6 x 3) - 4 + 26 - 2
c) 44,65 = 3 x 11,11 + 68
d) 24 - 16 + 3 + 5 - 6 + 10 - 2
e) 15 = (2+2)
Answer:
a) 93,2255
b)38
c)false
d)18
e)false
A cylinder with a diameter of 8 inches and height of 12 inches.
Ross is wrapping a gift. The package is shaped like the cylinder shown. What is the least amount of paper he needs to cover the entire cylinder? Use 3.14 for Pi.
401.92 in.2
602.88 in.3
1004.8 in.2
2411.52 in.3
Answer:
401.92 in.2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Answers PLSSSSSSSS HELP CORRECT ANSWER GETS BRAINLIEST
1.A
2.B
3.C
Answer:
A
Step-by-step explanation:
The height of the triangle must be perpendicular to the base of the triangle and the segment A is perpendicular to the given height.
Can any one help me on this question ?
Answer:
70°
Step-by-step explanation:
2x +x + 80° + 70° = 360° { being sum of angles of quadrilateral }
3x + 150° = 360°
3x = 360° - 150°
3x = 210°
x = 70°
Hope it will help :)
Answer:
70
Step-by-step explanation:
Since sum of all angles in a quadrilateral is 360°
angle P+ angle Q + angle R + angle S= 360°
80+70+x+2x=360
3x= 360-150
3x = 210
x = 210/3
x= 70
You are renting a car for the day. There is a daily fee of $25 and a charge of $0.10 per mile. Your budget allows a maximum total cost of $50. How many miles can you travel on this budget?
Answer:
250 miles
Step-by-step explanation:
daily charge: $25
per mile: $0.10
budget: $50
50-25=25
25 divided by 0.10 = 250
you can travel 250 miles on this budget
Write a rule for the linear function in the table.
A.
f(x) = –x + 1
B.
f(x) = x – 1
C.
f(x) = x
D.
ƒ(x) = –x
Answer:
i keep getting different stuff
Step-by-step explanation:
4 x − 5 + y = 0
x + 6 y = 5
6 x − 3 y =12
3 x + y = 16
6 x − 3 y = 12
3 x + 4 y = − 5
Answer this question and you get brainiest? Also 85 points so answer it correctly and it’s all yours btw i put the picture up so you can answer it . Thanks
Answer:
114
Step-by-step explanation:
those angles are supplementary meaning that they will add up to 180. 180-66=114 so x=114
Liliana watched 1/2 of Finding Nemo before she paused it to go make popcorn. When she came back, she watched another 1/3 of the movie. What fraction of the movie did Liliana watch in all?
Answer:
5/6 of the movie. 1/2 is the same as 3/6 and 1/3 the same as 2/6. Just add it and boom you got 5/6.
