Stephen deposits $5,000 in a bank account that
earns 4.25% interest compounded continuously.
Approximately, when will Stephen have $10,000 in
his bank account if he makes no deposits or
withdrawals?
Answers
Related Questions
the total length of 3 boards are 7/8 of a yard. The lenght of 2 boards are 1/4 of a yard and 3/16 of a yard. What is the length of the third board?
Answers
Answer: 7/16 of a yard
Step-by-step explanation:
first we have to find common denominators. 3x=7/8, or 3x=14/16
1/4=4/16 then 14-4-3=7, all over 16.
Please I need help (>^<)ゞ
Katie and Elizabeth went to the store so Katie could return
some headphones. All DVDs were on sale for the same
price. Katie returned a set of headphones and purchased 3
DVDs, costing her an additional $5.
Elizabeth purchased 2 sets of the same headphones Katie
returned and a DVD for $67.
What is the cost of each item?
o Headphones $11; DVD $28
o Headphones $28; DVD $11
o Headphones $15; DVD $26
o Headphones $26; DVD $15
Answers
Answer:
Step-by-step explanation:
D
B, Headphones are $28 and DVDs are $11
Step-by-step explanation:
3 DVDs cost $33
1 set of headphones cost $28
33 - 28 - 5
Mark buys $45 worth of office supplies. He uses a 15% off coupon. What will be the new price?
Answers
Answer:
38 dollars and 25 cents
Step-by-step explanation:
15% off is the same as saying 85% of the original price, because 100%-15%=85%.
We can do 85% · 45=0.85 · 45=38.25
Answer:
$38.25
Step-by-step explanation:
Which expression represents the distance between the points (11, 4) and (5,8)?
Answers
Answer:
[tex]\displaystyle d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (11, 4) → x₁ = 11, y₁ = 4
Point (5, 8) → x₂ = 5, y₂ = 8
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-6)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{36+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{13}[/tex]Determine whether the following statements are true and give an explanation or counterexample. If f is not one-to-one on the interval [a, b], then the are of the surface generated when the graph of f on [a, b] is revolved about the x-axis is not defined.
Answers
Answer:
Step-by-step explanation:
The missing equation is:
[tex]S = \int ^b_a 2 \pi f(y) \sqrt{1 + f' (y)^2 } \ dy[/tex]
Suppose f = nonnegative function whose first derivative is within (a,b) and it is continuous, Then the area of the surface generated is revolved about the x-axis:
The area of the surface revolution is:
[tex]S = \int ^b_a 2 \pi f(x) \sqrt{1 + f' (x)^2 } \ dx[/tex]
So; if [tex]x = g(y)[/tex] for [tex]y \ \varepsilon \ [c,d][/tex]
Then; substituting a with c and b with d; f(x) also with g(y) and dx with dy;
Then;
[tex]S = \int ^d_c 2 \pi g(y) \sqrt{1 + g' (y)^2 } \ dy[/tex]
SInce;
[tex]g(y) \ne f(y)[/tex]; Then the statement is false.
Provided that the semicircle [tex]y = \sqrt{1-x^2}[/tex] isn't on [tex][-1,1][/tex] interval.
Then, the solid generated by the revolution about the x-axis is a sphere.
However, the surface is well defined and the statement is false.
A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?
Answers
Answer:
1
Step-by-step explanation:
Ratna , who is in Mumbai , telephones her brother Ravi in Ahmedabad and speaks for 89 seconds . She is charged Rs 1.20 for every 16 seconds or part of 16 seconds . There is also a service charge of Rs 2 / - . Study the bill carefully . How much will it cost Ratna if she speaks to Ravi for 3 minutes ?
A) 14.40
B) 16.40
C) 18.40
D) 20.40
Please give explanation of your answer , please .
Answers
Answer:
16.40
Step-by-step explanation:
3 min-> 180 s
180÷16≈11
11+1=12
12x1.20=14.40
14.40 + 2 = 16.40
Mark buys $65 worth of of building supplies. He uses a 25% off coupon. What will be the new price?
Answers
Answer:
Step-by-step explanation:
65(1-25/100)
65(75/100)
65(.75)
$48.75
please help me thank you in advance!
Answers
Answer:
First option: (x+9)^2=81
Step-by-step explanation:
It has the same solution
Sapna and Robbie have some biscuits.
Altogether they have 14 biscuits.
Sapna has 2 more biscuits than Robbie.
How many biscuits do Sapna and Robbie each have?
Answers
6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answers
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
7/8 percent equivalent to the nearest whole percent?
Answers
Answer:
88%
Step-by-step explanation:
7/8 = 87.5%
After 4 tests,Alex average score was 65.After the 5th test his average score increased by 5 .How much did he score in his 5th test?
Answers
Answer:
329 вот правильный ответ
Pls help asap 15 POINTS
For what value of c are the factors of x2 + cx + 121 the same?
The value of c is [blank]?
Answers
Answer:
22
Step-by-step explanation:
Using the expression to determine the value of c
121 = (c/2)²
find c
121 = c²/4
c² = 121 * 4
c = √121*4
c = √484
c = 22
Hence the value of c is 22
A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.
How long is each piece?
2 inches
3 inches
4 inches
6 inches
Answers
Answer:
3 inches
Step-by-step explanation:
Answer:
3 in
Step-by-step explanation:
Marna is playing a game where you score -5 points each time you guess the correct answer the goal is to get the lowest score to win the game Marna Needs to have a score less than -80 point how many correct answers does my need to win the game
Answers
(-80 divided by -5)
A restaurant has 23 tables. Some of the tables seat 4 persons and the rest seat two persons. In all, 76 persons can be seated at once. How many tables of each kind are there?
Answers
Answer:
15 tables with 4 seats and 8 tables with 2 seats.
Step-by-step explanation:
x = 4 seated tables
y = 2 seated tables
x + y = 23
4x + 2y = 76
Multiply first equation by -2 to cancel y's:
-2x - 2y = -46
4x + 2y = 76
2x = 30
x = 30 / 2
x = 15
And we said 23 tables so:
23 - 15 = 8
x = 15
y = 8
Sixteen is divided by the sum of the number q and 1. The result is four. What is the number.
Answers
Answer:
The number is 3.
Step-by-step explanation:
Ok, so here we're solving for a variable. The equation would be:
16 ÷ (q + 1) = 4
We can rewrite this as:
4(q + 1) = 16
First, you need to isolate q + 1. To do that, you to the inverse of the operation. IN this case, division is the inverse of multiplication. So:
4(q + 1) = 16
÷4 ÷4
q + 1 = 4
Alright, now we isolate q. The inverse of addition is subtraction, so we do this:
q + 1 = 4
- 1 - 1
q = 3
Now for our check:
16 ÷ (q + 1) = 4
16 ÷ (3 + 1) = 4
16 ÷ 4 = 4
4 = 4
q = 3
NEED HELP ASAP !!! Mr. Sanchez's class sold fruit pies for $1.65 each and Mr. Kelly's class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work (b) Which class earned more money? (c) How much more money did that class earn?
Answers
Answer:
Mr. Kelly's class old more and 11.455 more then the other class
Step-by-step explanation:
i used a calutor
Some one already answered this, heres the link to the answer:
brainly.com/question/19662350?referrer=searchResults&exp=25-1
please help it’s due!
Answers
Answer:
....m....................................
i found the lengths of FE and FD by using the pythagorean theorem
then added all three lengths together to get 42.6
4. Look at the first example (a).
Now write the other numbers in expanded notation.
a. 654 = 600 + 50 + 4
b. 203 =
C. 2015 =
d. 8 002 =
e. 7 605 =
Answers
c) 1000 + 10 + 5
d) 8000 + 2
e) 7000 + 600 + 5
2015=2000+0+10+5
8002=8000+2
7605=7000+600+5
No need to write the +0
cat este ¾-⅝?? caci eu nu stiu
Answers
Answer:
1/8 hope this help :)
Answer:
1/8 or 0.125
Step-by-step explanation: Key || · equals multiplication
3/4 - 5/8 = 3 · 2/4 · 2 - 5/8 = 6/8 - 5/8 = 6 - 5/8 = 1/8
Use substitution to solve the linear system of equations.
2y = X - 6
x=9
(9, 24)
(9, 3/2)
(3/2, 9)
(9,9)
Answers
Answer:
2y=X-6
×=9
(9, 3/2)
Step-by-step explanation:
Hope this help!
Answer: 65
Step-by-step explanation: 65
Find the inverse function of f(x)=4x-8
Answers
Answer:
f^-1(x)=1/4x+2
Step-by-step explanation:
y=4x-8
change x and y
x=4y=8
switch sides
4y-8=x
add 8
4y=x+8
divide both sides by 4
y=1/4x+2
substitute f^-1(x) for y
f^-1(x)=1/4x+2
Who ever gets this right gets branliest
Answers
Answer:
2 1/2
Step-by-step explanation:
Answer: 2 1/2
Step-by-step explanation: Its positive and lands between 2 and 3 halfway
−3x−8y=−8
y=2−x
yes or no
Answers
Answer:
No
Step-by-step explanation:
-3x-8y=-8
3x+8y=8 (multiply all terms by -1)
8y=8-3x (take 3x from both sides)
y=1-(3/8)x (divide each term by 8)
1-(3/8)x ≠ 2-x
In the following question, the domain of discourse is a set of students at a university. Define the following predicates: E(x): x is enrolled in the class T(x): x took the test Translate the following English statements into a logical expression with the same meaning.
a. Someone took the test who is enrolled in the class.
b. All students enrolled in the class took the test.
c. Everyone who took the test is enrolled in the class.
d. At least one student who is enrolled in the class did not take the test.
Answers
Answer:
From the examples given below:
E(x): x is enrolled in the class T(x): x took the test ,
The following sentences can be translated into something similar like:
1 E(x): All students enrolled in the class.
T(x): All students took the test.
2. E(x): Someone took the test
T(x): Someone are enrolled in the class.
3. E(x): Everyone took the test
T(x): Everyone is enrolled in the class.
4. E(x): At least one student is enrolled in the class
T(x): At least one student did not take the test.
Step-by-step explanation:
9 points
7) What is the Unit Rate? $12.84 for 4 cookies. *
O $3.21
O $4.20
O $5.19
O $2.50
Answers
Answer:
$3.21
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
a number which is now a rattional number is a
Answers
Answer:
??? Incomplete sentence
Step-by-step explanation:
Can y’all help me please I need help
Answers
Answer:
503 inches (rounded to the nearest whole number)
Step-by-step explanation:
First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:
[tex]C=\pi d[/tex] when [tex]d[/tex] is the diameter
Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:
[tex]C=\pi (16)\\C=16\pi[/tex]
Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.
[tex]16\pi *10\\= 160\pi[/tex]
[tex]= 503[/tex] inches when rounded to a whole number
Therefore, the wheel travelled approximately 503 inches.
I hope this helps!