Answer:
$1.15
Step-by-step explanation:
1*15=15
15/100=.15
1+.15=1.15
34. The amount of money in an account with continuously compounded interest is given by the formula 1
4 Por, where is the principal, / is the annual interest rate, and / is the time in years, Calculate to the
nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded
continuously at 6,2%Round to the nearest tenth,
11.2 y
A
1 0.0 %
O
4
Answer:
Step-by-step explanation:
I have no idea what formula that is you're using but the one I teach in both algebra 2 and in precalculus for continuous compounding is
[tex]A(t)=Pe^{rt}[/tex]
where A(t) is the amount after the compounding, P is the initial investment, ee is Euler's number, r is the interest rate in decimal form, and t is the time in years. If our money doubles, we just have to come up with a number which will be P and then double it to get A(t). It doesn't matter what number we pick to double, the answer will come out the same regardless. I started with 2 and then doubled it to 4 and filled in the rest of the info given with time as my unknown:
[tex]4=2e^{(.062)(t)}[/tex]
Begin by dividing both sides by 2 to get
[tex]2=e^{.062t}[/tex]
The only way we can get that t out of its current position is to take the natural log of both sides. Natural logs have a base of e, so
[tex]ln_e(e)=1[/tex] This is because they are inverses of one another. Taking the natural log of both sides:
[tex]ln2=.062t[/tex] Now divide by .062 to get
t = 11.2 years
The Sundown Parking Garage charges $5.00 to park a car . What is the total charge for parking a car for 4 hours in this garage?
Answer:
20 dollars
Step-by-step explanation:
5.00 x 4 = 20
how to write "360.124" in expanded and exponential form
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
Exponential form- 300+60+1/10+2/100+4/1000
Expanded form- 300+60+1/10+2/100+4/1000 or Three hundred sixty and one two four.
Jeff is shopping for a new T-shirt at a clothing store. The graph shows the total price for the shirts depending on how many T-shirts Jeff buys. What is the price of seven T-shirts?
Answer:
$63 is the answer to this problem
James paid an initial fee of $6.00 for a movie rental service. Each time he rents a movie he is charged $2.00. Sarah uses a different movie rental service that charges based on the equation y = 3x + 4, where y is the total cost and x is the number of movies rented. At what point are the prices of the two services the same?
Answer:We'll call the number of movies you rent \begin{align*}x\end{align*} and the total cost of renting movies for a year \begin{align*}y\end{align*}. ... pay per year and the rental fee is the dollar amount you pay when you rent a movie. ... The lines cross because the price of rental per movie is different for the two ...
can i get brainliest now
Step-by-step explanation:
Answer:
The prices of the two services are the same when two movies have been rented
Step-by-step explanation:
We can figure out at what point the two services cost the same by using the y=mx+c formula
James:
y=2x+6
Sarah:
y=3x+4
We then figure out at what point are the two services the same by making the equations equal each other and then solve from their
3x+4=2x+6
3x+4-2x=2x+6-2x
x+4-4=6-4
x=2
Therefore the price of the two services are the same when 2 movies have been rented
Beth enlarged the triangle below by a scale of 5.
A triangle with a base of 4 centimeters and height of 3.5 centimeters.
She found the area of the enlarged triangle. Her work is shown below.
One-half (4) (3.5) (5) = 35 centimeters squared
What was Beth’s error?
Answer: She should have multiply each of the sides the scale value before multiplying to find the area.
Step-by-step explanation:
They are two sides to the triangle which is the base and the height and each side have a different length so you will have to first multiply each side length by the scale value to find the new length of the enlarged triangle.
base: 4 *5 = 20
height : 3.5 * 5 = 17.5
Now since the base is 20 cm and the height is 17.5 cm you will use the area of a triangle formula to solve for the area.
A = 1/2* b * h
A = 1/2 * 20 * 17.5
A = 10* 17.5
A = 175
or she could have multiply 35 which is the number he obtained by another 5 to find the area.
Answer:
c i think not sure sorry
Step-by-step explanation:
Which of the following statements must be true to prove that lines p and q are parallel?
Question 16 options:
A)
∠4 ≅ ∠6
B)
∠1 ≅ ∠7
C)
∠2 ≅ ∠7
D)
∠1 ≅ ∠4
Answer:
B.
Step-by-step explanation:
sorry if it didn't work
Answer:
B
Step-by-step explanation:
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the value for x into the second equation: 3. Solve for y: 4. Substitute y into either original equation: 5. Write the solution as an ordered pair: x = 7 – 3y 2(7 – 3y) + 4y = 8 14 – 6y + 4y = 8 14 – 2y = 8 –2y = –6 y = 3 x + 3(3) = 7
Answer:
(-2,3)
Step-by-step explanation:
explain relationship between how radical expressions and rational (fractional) exponents
are written.
Answer:
Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.
Step-by-step explanation:
The track is 3/5 of a mile long. If Tyrone jogged around it twice, how far did he run?
He ran for 6/5 miles long.
What is multiplication?In maths, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem.
Given that, Tyrone run on a 3/5 long track for twice.
3/5*2 = 6/5
Hence, He ran for 6/5 miles long.
For more references on multiplication, click;
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State the point on the line y - 18 = 71.3(x +98)
Please explain how you got your answer, thank you.
9514 1404 393
Answer:
(-98, 18)
Step-by-step explanation:
We recognize the equation as being in the "point-slope" form.
y -k = m(x -h) . . . . . . . a line with slope m through point (h, k)
__
Comparing this form to the given equation, we identify the parameters as ...
k = 18, m = 71.3, h = -98
The point on this line is (h, k) = (-98, 18).
Consecutive interior angles are...
A. Complementary
B. Supplementary
C. Congruent
D. Colinear
Answer:
Consecutive interior angles will be supplementary
Step-by-step explanation:
As we know that a transversal line is a straight line which tends to intersect two or more parallel lines.
Consecutive interior angles are interior angles that are on the same side of the transversal line. Their sum is 180°.
Hence, Consecutive interior angles will be supplementary
For example, let ∠A and ∠B be the two consecutive interior angles.
As the sum of Consecutive interior angles is 180°, hence they are supplementary.
so the equation becomes
∠A + ∠B = 180°
Let suppose <A and <B are both consecutive interior angles.
Let ∠A is 110°, and we have to determine ∠B.
As the sum of Consecutive interior angles is 180°,
110° + ∠B = 180°
∠B = 180° - 110°
= 70°
so 70° + 110° = 180°
Therefore, Consecutive interior angles will be supplementary
How many 3/8's are in 6?
Answer:
That is 6 divided by 3/8, better written as
6
--
1
====
3
--
8
Invert the 3/8 and then multiply:
6 8
-- * ---
1 3
Reduce 6/3: 6/3 = 2
Then you have 2(8), or 16 (answer)
Answer:
There are 16 3/8's in 6
Step-by-step explanation:
6/1 divided by 3/8
Invert the 3/8 and then multiply
6/1 times 8/3
Reduce 6/3: 6/3 = 2
answer: 16
The pet store has sold 5 dogs to every 2 cats during the month of September. If the pet store sold a total of 35 dogs and cats during the
month of September how many dogs did they sell?
Answer:
28
Step-by-step explain:
sold 5 dogs to every 2 cats
35-5-2=28
35 - 5 = 30
30-2=28
2 cats5 dogsScientists notice structural similarities between fossils of a land animal and an aquatic organism. They know the similarities are not a result of the two organisms having to adapt to similar environments. What can they attribute the structural similarities to?
convergent evolution
common ancestry
transitional evolution
similar mating habits.
Answer: B common ancestry
Step-by-step explanation: .
Answer: B.
Step-by-step explanation:
Which number line shows the solution to 11x + 14 <-8
Answer:
The answer is D
Step-by-step explanation:
I did it on edg
What is the slope?
WILL MARK BRAINLIEST!! !!
(picture included ^^^^)
Answer:
answer 3
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
slope is rise over run
point at (0,-4) and (2,1)
2(4x - 1)+ 1 = 2x + 6x – 2
How many solutions do you get when you solve ?
Answer:
Step-by-step explanation:
2(4x-1)+1=2x+6x-2
8x-2+1=2x+6x-2
8x-1=8x-2
No solution
Find the midpoint of each line segment with the given endpoints: (2,0) and (-2,4)
Answer:
(0,2)
Step-by-step explanation:
WILL MARK BRAINLIEST FOR CORRECT ANSWER!!
Find an expression which represents the difference when (9x-10y) is subtracted from (-8x-8y) in simplest terms.
Basically what is (9x-10y)-(-8x-8y)?
2343566777765x646778009886554
Will Mark As BRAINLIEST
Answer:
1.5157675e+27
Step-by-step explanation:
Answer:
1.5157675e+27
Step-by-step explanation:
hopefully, you know what that number is
the mass, m, of an object varies directly as the cube of its length, l. m=72 when l=2. Find m when l=5.
Answer:
M=180 when L=5
Step-by-step explanation:
If m is 72 when mass is 2 then 2.5×2 =5 and so m when 2.5×72=180 :)
what is the LCM of 6,4,10
6 has a factor of 2 and 3
4 has a factor of 2
10 has a factor of 2 and 5
The LCM = 60
Answer:
60
Step-by-step explanation:
The LCM is the lowest common multiple, this means the smallest number that 6, 4 and 10 can go into without giving a decimal number, so they give an integer.
Here's a trick, use prime factorizationPrime factorization means, write a number as the result of the multiplication of prime numbers prime numbers are numbers with only two factors, 1 and itselfSo the prime factorization of 6, 4 and 10 is6 = 2 x 3 4 = 2 x 210 = 2 x 5For each prime factor, find where it occurs most often as a factor and write it that many times in a new list. So 2 occurs most often as a factor of 4, so we use two 2s3 occurs most often as a factor of 6, so we use one 35 occurs most often as a factor of 10, so we use one 5Then multiply this new list of numbers 2 x 2 x 3 x 5 = 60 that's how you quickly get the LCM??please help me solve
Answer:
y = -4x - 6
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: Slope: -4
Point: (-2, 2)
To write an equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). Since we were given the value of the slope, all we have to do now is find b. To do this, input the given values of m and the point into the equation and solve for b:
y = mx + b
2 = -4(-2) + b
2 = 8 + b
-6 = b
The y-intercept is -6.
Now that we know the slope and the y-intercept, we can write the equation:
y = -4x - 6
A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides
Answer:
Look at the picture
Step-by-step explanation:
For 0 rise it would just be eight dollars
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a question and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!
9x-99≥18x
Answer:
x≤−11
Step-by-step explanation:
−99≥18x−9x
−99≥9x
−
9
99
≥x
−11≥x
x≤−11
please help due in 2 min
and I can't get another one wrong
Answer:
True
Step-by-step explanation:
Both functions are straight lines. This means they will continue in both directions forever. So the both have a range and domain of all real numbers. Linear functions commonly have range and domains of all real numbers.
Find the required annual interest rate, to the nearest tenth of a percent, for $ 1170 to grow to $ 1708
if interest is compounded quarterly for 6 years.
A) 6.4%
B) 1.6%
C) 3.2%
D) 7.9%
Answer:
Step-by-step explanation:
The formula you need for this is
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex]
where A(t) is the final amount after the compounding is done, P is the initial investment, r is the interest rate in decimal form, n is the number of times per year that the money is compounded, and t is the time in years. Filling in accordingly:
[tex]1708=1170(1+\frac{r}{4})^{(4)(6)}[/tex]
First things first. Simplify by division and then multiply the n by the t to get the exponent:
Divide 1708 by 1170 to get the equation:
[tex]1.45982906=(1+\frac{r}{4})^{24}[/tex]
Undo the 24th power by taking the 24th root of both sides to get:
[tex]1.015888202=1+\frac{r}{4}[/tex] Now subtract 1 from both sides to get
[tex].0158882024=\frac{r}{4}[/tex] Multiply both sides by 4 to finish it off and get that
r = .0635528 but since we want the percentage, we move the decimal 2 places to the right and round to r = 6.4% which is choice A.
At Kennedy High School, the probability that a student takes Technology and Spanish is
0.087. The probability that a student takes Technology is 0.68. What is the approximate
probability that a student takes Spanish given that the student is taking Technology?
0.13
Explanation:
P(B|A) = P(A and B) / P(B)
P(spanish|Technology) = 0.087/0.68 = 0.1279 ~ 0.13
The probability that a student takes Spanish given that the student is taking Technology is; 0.13
To solve this, we need to understand Baye's theorem of conditional probability which is;
P(A|B) = P(AB)/P(B)
Where;
P(A|B) is the probability of A given that B is true
P(AB) is probability of A & B
P(B) is probability of B
We are given;
P(A student takes technology) = 0.68
P(student takes both technology and Spanish) = 0.087
Applying Baye's theorem, we have;
P(that a student takes Spanish given that the student is taking Technology) = 0.087/0.68
P(that a student takes Spanish given that the student is taking Technology) = 0.13
Read more at; https://brainly.com/question/15289416
6s-4=8 (2+ 0.25s)
solve for s
Answer:
s=5
Step-by-step explanation:
6s-4=16+2s
6s=20+2s
4s=20
s=5
Answer:
S=5
Step-by-step explanation: