Jane invests $5,757 in an account that earns an annual interest rate of 2%. What will be the balance of the account in 16 years if the interest is compounded continuously?
Answers
Answer:
C
Hope it helps you, tell me if im wrong pls, be safe :D
The balance of the account in 16 years if the interest is compounded continuously will be $7,599.24.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
It is given that, Jane invests $5,757 in an account that earns an annual interest rate of 2%.
We must first divide "2%" by the principal ($5,757) to get a decimal, which we must then multiply by. So:
5,757 × 0.02 = 115.14
Then we multiply the product of P×R by the time, 16 years. So:
115.14 × 16 = 1,842.24
We now add the principle to our finished product. So:
5,757.00 + 1,842.24 = $7,599.24
Thus, the balance of the account in 16 years if the interest is compounded continuously will be $7,599.24.
Learn more about compound interest here:
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Related Questions
[tex]9 1/2 - 3 9/16[/tex]
Answers
Answer:
43.0625
Step-by-step explanation:
[tex] \frac{91}{2} - \frac{39}{16} [/tex][tex] \frac{728 - 39}{16} [/tex][tex] \frac{689}{16} [/tex][tex]43 \frac{1}{16} [/tex][tex]43.0625[/tex]689/16 or in other form 43.0625
explanation in picture \/
In AHIJ, j = 33 cm, ZH=148º and ZI=21°. Find the length of i, to the nearest
centimeter
Answers
Answer
The length of i to the nearest centimeter is 62 cm
Step-by-step explanation:
Please find the image uploaded for diagram and solution.
Out of 460 students 60% have pets Identify the values of a
Answers
Step-by-step explanation:
= 460 × 60%
= 460 × 60/100
= 460 × 3/5
= 92 × 3
= 276
a^p . a^q =
a) (pq)^a
b) a^(p-q)
c) a^(p+q)
d)a^(pq)
Answers
Answer:
a^( p + q )
Step-by-step explanation:
a^p . a^q = a^( p + q )
Note : -
This is actually a formula / identity.
Given the inequalities y < 2x+2 and y>-3x+2 graphed on the same
coordinate grid, which of the following coordinates gives a true statement?
O A. (-2,-2)
O B. (4,0)
O C. (0.4)
O D. None of the above
Answers
None of the above
The solution is (0,2)
Graph attached
Ashley runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 mins?
Answers
Answer:
5.6 miles
Step-by-step explanation:
7 miles every 80 minutes
7/80
at the same rate we need to find it for 64 minutes
7/80=x/64
x=7*6/80
x=5.6 miles
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, and Georgia are
invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?
Answer in decimal form. Round to 3 decimal places as needed.
Answers
And this problem, we're trying to figure out the probability that Xerxes arrives first and Regina arrives last. Now, the first thing to note is that there are nine people. So if we list off nine different spaces, there's nine spaces and now the order in which they arrive could be any order. So for the first spot there are nine different ways that someone can show up, Anyone can show up first and then once someone has shown up first, the person who arrives second, there are eight different ways to choose that person. Similarly, the person who arrives third, there are seven people remaining, so there's seven ways to choose that and so on. And so there are actually nine factorial ways that the people can arrive to the party. Now if xerxes needs to be in the first spot and Regina needs to be in the last spot than in these remaining seven spaces, we can put any people, so there can be any ordering between xerxes and Regina. So there is seven factorial ways to order the people between xerxes and Regina. So the probability that we end up with is seven factorial divided by nine factorial. So that is seven factorial. And remember that nine factorial can be written as nine times eight times seven factorial. The seven factorial are going to cancel. We get 1/7 times eight which is equal 1/72 which is equal to approximately zero point 014 and that's it
Estimate. 1 /5 x 26 =
Answers
5. Mr. Wella tells his class of 24 that when
They have completed the assignment, they
may play online math games. Al the end of
class, 40% of the class is playing online math
games. Approximately how many students still
need to complete their assignment?
Answers
Answer:
Step-by-step explanation:
24(1 - 0.40) = 24(0.60) = 14.4 14 students
(a). Consider the parabolic function f(x) = ax² +bx+c, where a ±0, b and care constants. For what values of a, band c is f
(i) concave up?
(ii) concave down?
[Verify your answer by MATHEMATICA and attach the printout of the commands and output]
Answers
Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have
f'(x) = 2ax + b
and
f''(x) = 2a
Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.
(i) f is concave up when f'' > 0, which occurs when a > 0.
(ii) f is concave down when f'' < 0, and this is the case if a < 0.
In Mathematica, define f by entering
f[x_] := a*x^2 + b*x + c
Then solve for intervals over which the second derivative is positive or negative, respectively, using
Reduce[f''[x] > 0, x]
Reduce[f''[x] < 0, x]
Help me plz well mark brainliest if correct!
Answers
Answer:
15
Step-by-step explanation:
To subtract 2 1/2 - 1 3/5, first, you need a common denominator for the fractions, which is 10.
The subtraction becomes
2 5/10 - 1 6/10
Now you need to subtract 1 6/10 from 2 5/10.
Since the fraction part involves the subtraction 5/10 - 6/10, we need to borrow. You must change 2 5/10 to a mixed numeral with a larger numerator than 5, so you can subtract 6/210 from it.
Start with 2 5/10.
Borrow 1 from the 2. The 1 you borrow from 2 will be added to 5/10.
You think of the borrowed 1 as 10/10. Now you add 10/10 to 5/10.
2 5/10 becomes 1 15/10. Now that the fraction has a numerator grater than 6, you can do the subtraction.
2 5/10 - 1 6/10 =
= 1 15/10 - 1 6/10
Answer: 15
Answer:
20/10
Step-by-step explanation:
A sightseeing company charges $16.75 for a scooter rental, plus an additional $5.50 per hour that the scooter is rented. Partial hour
rentals are allowed. The total charge for a certain rental is $30.50.
How long was the scooter rented?
Enter your answer in the box.
Answers
Answer:
2.5 hours
Step-by-step explanation:
The cost of the rental - the scooter rental = 30.50 - 16.75, which equals 13.75.
Divide the additional per hour by that number.
13.75 / 5.5 = 2.5
Therefore, the scooter was rented for 2.5 hours.
Answer:
2.5
Step-by-step explanation:
13.75 / 5.5 = 2.5
n Mark's class, there are 15 students with brown hair, 3 students with blonde hair, and 5 students with black hair.
What is the ratio of students with brown hair to students with black hair?
Answers
Answer:
3:1
Step-by-step explanation:
brown:black
15:5
Divide both sides by five;
15/5 :5/5
= 3:1
7.
Write an equation for the translation of y = |x|.
5.5 units right
A. y = |x| + 5.5
B. y = |x – 5.5|
C. y = |x + 5.5|
D. y = |x| – 5.5
Answers
Answer:
D. y = |x| – 5.5
Step-by-step explanation:
Suppose you are the manager of Speedy Oil Change. You think your branch is very quick with oil
changes, but lately you have been getting some customer complaints that it takes too long to get an
oil change. You take a random sample of 36 customers and time how long (in minutes) the customer
must wait for their oil change. The results are in the table below.
Answers
rearrage x=3g+2 to make g the subject
Answers
Answer:
[tex]g=\frac{x-2}{3}[/tex]
Step-by-step explanation:
[tex]x=3g+2\\\\x-2=3g+2-2\\\\x-2=3g\\\\\frac{x-2}{3}=\frac{3g}{3}\\\\\frac{x-2}{3}=g[/tex]
Find the value or expression for 0.
1. sin(55) = cos( )
2.sin( )=cos(28)
3. cos(y) = sin( - )
Answers
1.
sin55 = cos35 = 0.8192
sin(55) = cos( )
Since sin and cos are complementary,
sinθ = cos(90 - θ)
Since θ = 55
sin55 = cos(90 - 55)
sin55 = cos35
So, sin55 = cos35 = 0.8192
2.
sin62 = cos28 = 0.8829
sin() = cos(28 )
Since sin and cos are complementary,
sin(90 - θ) = cosθ
Since θ = 28
sin(90 - 28) = cos28
sin62 = cos28
So, sin62 = cos28 = 0.8829
3.
cos0 = sin90 = 1
cos(y) = sin(-)
Since sin and cos are complementary,
cosy = sin(90 - y)
Since y = 0
cos0 = sin(90 - 0)
cos0 = sin90 = 1
So, cos0 = sin90 = 1
Learn more about comlementary angles here:
https://brainly.com/question/13994562
9. The expression -8x? – 56x written in fully factored form is
a. -8x(x + 7)
c. -8(x + 7x)
b. 4x(2x + 14)
d. -8(x² – 7x)
Answers
Answer:
the answer is C
Step-by-step explanation:
hope this helps!
Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
m = 4 Point = (1/3, 1)
m = 1/3 Point = (1,-4)
m = 1/3 Point = (1, 4)
m = 1/3 Point = (-1, 4)
Answers
Answer:
m=1/3 point = (-1, 4) this is the answer
I’m gonna lose the New York and take a plane to Lisbon. When Amanda left the house it was -8°. When the plane landed in the spine Amanda realized it was 20° hotter! What was the temperature when Amanda landed Lisbon?
Answers
Answer:
12
Step-by-step explanation:
Given:
-8
+20°
Solution:
-8+20 = 12
Therefore the answer is 12
Robert is comparing prices of boxes of napkins. He sees that 2 boxes of Softeez
napkins are $1. Which of the following has a lower unit price than the Softeez
napkins?
o 12 boxes of napkins for $5.88
o 4 boxes of napkins for $2.04
o 6 boxes of napkins for $3.18
o 8 boxes of napkins for $4.16
Answers
Answer:
12 boxes of napkins for $5.88
Step-by-step explanation:
The softeez napkins are $0.50 each. Each pair of "cheaper" napkins should be at least one cent less than a dollar to be cheaper than the softeez napkins.
Dividing each price by the number of boxes of napkins, we get the price per box - 0.49, 0.51, 0.53, and 0.52 (in that order, going down).
The only ones cheaper than the napkins that are two boxes for a dollar are the first ones, which he can buy two boxes of for $0.98.
Solve the system of linear equations by graphing. 4x-4y=20 y=-5
Answers
Answer:
4x-4y=20 divide by 4 to get
x-y=5, now substitute -5 for y
x-(-5) = 5
x+5 = 5
x = 0
or you could immediately notice that by letting y=-5
that
4x +20 = 20 and
4x = 0
x = 0
x-y=5 is the same as
y= x-5 which graphically has slope = 1 with y intercept y=-5
x-intercept is x=5. Plot those two intercepts or points (0,-5) and (5,0) connect them with a straight line. It has slope = 1 or a 45 degree angle with the horizontal.
Step-by-step explanation:
What type of correlation does the data set display?
х
у
2.
13
5 11
7 10
9
8
11
2
A. Negative
B. No correlation
C. Positive
Answers
B.
Examples:Data sets are often depicted as scatter plot graphs. This is because the purpose of these scatter plots is to check for a linear correlation between the two variables. The two variables are usually denoted as independent and dependent variables. independent variable: x, horizontal axis.What's Now?When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).If you need for answers of What type of correlation does the data set display? Just like this answers for me Explantation!!
1.
Which of the following is the minimum value of the function y = 3/4x^2 + 6x + 6 ?
A. −4
B. 6
C. −6
D. 3/4
Answers
Answer: C. −6
Maximum= -4
Minimum= -6
Step-by-step explanation: Math.way
Use the formula x = − b /2 a to find the maximum and minimum.
( − 4 , − 6 )
by rounding each number to the nearest whole number.
Answers
Answer:
What's the fulll question?
Step-by-step explanation:
I don't know the answer if you don't finish the question
What decimals are equal to 1.5^3
Answers
Answer:
d and e
Step-by-step explanation:
I hope this helps!!!!
What is the area of this triangle?
Answers
Answer:
b
Step-by-step explanation:
it is b because it is pointing at that angle
What are the slope and intercept of this function?
Answers
Answer:
C is the correct answer
Step-by-step explanation:
slope = Δy / Δx = (7 - 4) / (8 - (-4)) = 3/12 = 1/4
y intercept occurs where x = 0 so (0, 5) from the chart
Polyhedron what are they
Answers
Answer:
A polyhedron is a 3-D shape with flat polygonal faces (think complete flat shapes with no curvatures), straight edges, and sharp vertices (corners).
Plz help I need help
Answers
Answer:
The FitnessGram™ Pacer Test
Step-by-step explanation:
The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
The 20 meter pacer test will begin in 30 seconds. Line up at the start.
The running speed starts slowly, but gets faster each minute after you hear this signal.
A single lap should be completed each time you hear this sound.
Remember to run in a straight line, and run as long as possible.
The second time you fail to complete a lap before the sound, your test is over.
The test will begin on the word start.
On your mark, get ready, start.
