Suppose you invest $800 into an annuity account that pays 7% annual interest, compounded continuously. How much will you have in the account in 10 years? F(t) = ae^rt
Answers
Answer:
1611.00
Step-by-step explanation:
You have $1611.00 in the account in 10 years. The correct option is B.
What is continuous compound interest?Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to a period of time.
Formula of continuous compound interest rate;
F(t) = a(e[tex])^{rt}[/tex]
, where a is the principal amount, r is the interest rate and t is the time period.
Given:
You invest $800 into an annuity account that pays 7% annual interest, compounded continuously.
And the formula is given by:
F(t) = a(e[tex])^{rt}[/tex]
According to the question,
Investment a = $800
Time period = 10 years.
And the interest rate r = 7%
Converting interest rate into decimals,
r = 0.07
Substituting all the values top the formula,
F(t) = a(e[tex])^{rt}[/tex]
F(t) = (800)(e[tex])^{(0.07)(10)}[/tex]
F(t) = (800)(e[tex])^{(0.7)}[/tex]
F(t) = 1611
F(t) = $1611.00
Therefore, you have $1611.00 in account.
To learn more about the continuous compound interest;
https://brainly.com/question/18722165
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Related Questions
In a group 40% like football ,70% like cricket and 30% like both games
Answers
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
solve for x,
7x+14÷3 - 17-3x ÷5=6x - 4x+2÷3-5
Answers
Answer: x = 4
Step-by-step explanation:
Given equation
7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5
Combine like terms on both sides
(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5
4x + 14/3 - 17 = 2x + 2/3 - 5
Subtract 2/3 on both sides
4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3
4x + 12/3 - 17 = 2x - 5
4x + 4 - 17 = 2x - 5
4x - 13 = 2x - 5
Add 13 on both sides
4x - 13 + 13 = 2x - 5 + 13
4x = 2x + 8
Subtract 2x on both sides
4x - 2x = 2x + 8 - 2x
2x = 8
Divide 2 on both sides
2x / 2 = 8 / 2
[tex]\boxed{x=4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
what is
[tex] \frac{28}{141} [/tex]
as a percentage
Answers
Answer:
19,86%
Step-by-step explanation:
[tex] \frac{28}{141} = 0.198582[/tex]
➡️ [tex]0.1986[/tex]
➡️ [tex]0.1986 \times \frac{100}{100} [/tex]
➡️ [tex] \frac{0.1986 \times 100}{100} [/tex]
➡️ [tex] \frac{19.86}{100} [/tex]
➡️ [tex] = 19.86\%[/tex] ✅
Find all points on the x-axis that are 14 units from the point (5, -7)
Answers
Answer:
can you submit the coordinet plane?
Step-by-step explanation:
7-15
Dividing decimals
Answers
Answer:
7-15= -8
Step-by-step explanation:
so therefore the other person is correct
i’ll give brainliest pls
i need to finish this quickly, i need part a b and c
Answers
C 70
I got it right
Type the correct answer in the box. Round your answer to the nearest hour. A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes 15 hours for the number of bacteria to increase to 300.
Answers
Answer:
so 15 hour for the 100 to become 200 and then it will become 400 in another 15 hours. but we need to find the time for 300 so it will take half of 15 hours
+ 15 hours for it to become 300 cells which is: 7 1/2 + 15 = 22 hours and 30 minutes
Step-by-step explanation:
answer from gauth math
Answer:
22 hours and 30 minutes
Step-by-step explanation:
Which one of the following statements must be true about the kite shown?
A. AB ≅ CB
B. BD ≅ AC
C. CD≅ BC
D)
≅
Answers
Answer:
answer is Afridi.AB=CB
The unit circle with center at the origin is a relation but not a function. Find the two functions which are lie in one of the semicircle in part a, and determine their domains and ranges?
Answers
Answer:
Step-by-step explanation:
All real number
In the Cartesian coordinate system, the x-akis is horizontal.
A.True
B. False
Answers
Answer:
A. TrueStep-by-step explanation:
In the Cartesian coordinate system, the x-axis is the horizontal line while y-axis is the parallel line.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
(6, -1) translate
8 units to the right 7 units down
Answers
Step-by-step explanation:
স্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰা
Answer:
(14,-8)
Step-by-step explanation:
Given (6,-1),
Translating (6,-1) 8 units right and 7 units down,
(6,-1)
=(6+8,-1-7)
=(14,-8)
Please mark brainliest.
Help thank you ………….
Answers
Answer:
The answer is option 1
Step-by-step explanation:
For the linear inequality on the top line of the system, it's saying that the y-value must be greater than or equal to 1. This is verified by the graph because all y-values that fit the criteria of the linear inequality are shaded. The graph is also showing for the dotted line that the area is shading all points where, if you subtract an x-value from a y-value, the difference will always be greater than 0. Note that this does not apply for points ON the line, as it cannot be equal to 0. This matches with the linear inequality on the bottom line of option 1.
The following table gives a partial set of values of a polynomial function.
x | -2 | -1 | 0 | 1 | 2 | 3
g(x) |-14| -2 | 0 |-4| -6| 2
Between which two values would a relative minimum most likely occur?
-2 and 0
-1 and 1
0 and 2
1 and 3
(-2 and 0 is incorrect btw)
Answers
Using the concepts of relative minimum and relative maximum, it is found that a relative minimum is most likely to occur between 1 and 3.
--------------------------------------------
A relative minimum occurs when the function is decreasing, then it starts to increase.A relative maximum occurs when the function is increasing, then it starts to decrease.--------------------------------------------
Over the interval -2 and 0, the function is increasing the whole time, which means that a relative minimum is not likely to occur.Over the interval -1 and 1, the function is increasing, then it starts to decrease, which means that a relative maximum is likely to occur.Over the interval 0 and 2, the function is decreasing the whole time, which means that a relative minimum is not likely to occur.Over the interval 1 and 3, the function is decreasing, then it starts to increase, which means that a relative minimum is likely to occur. This is the correct option.A similar problem is given at https://brainly.com/question/9839310
Answer:
x | -2 | -1 | 0 | 1 | 2 | 3
g(x) |-14| -2 | 0 |-4| -6| 2
Between which two values would a relative minimum most likely occur?
-2 and 0
-1 and 1
0 and 2
1 and 3
the correct answer is 1 and 3
Help me please! What shape is it?
Answers
SQUARE
You're a square !!!1!!!!!!!!11
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Water flows out of a hose at a constant rate. After 2 1/3 minutes, 9 4/5 gallons of water have come out of the hose. At what rate, in gallons per minute, is water flowing out of the hose?
Answers
Time taken: 2[tex]\frac{1}{3}[/tex] minutes = 7/3 minutes
Water released: 9[tex]\frac{4}{5}[/tex] gallons = 49/5 gallons
Rate of water flowing out:
Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)
plugging the given values
Rate = [tex]\frac{\frac{49}{5} }{\frac{7}{3} }[/tex] = [tex]\frac{49}{5} * \frac{3}{7}[/tex]
Rate = 21/5 = 4.2 gallons/minute
Answer:
Time taken: 2\frac{1}{3}
3
1
minutes = 7/3 minutes
Water released: 9\frac{4}{5}
5
4
gallons = 49/5 gallons
Rate of water flowing out:
Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)
plugging the given values
Rate = \frac{\frac{49}{5} }{\frac{7}{3} }
3
7
5
49
= \frac{49}{5} * \frac{3}{7}
5
49
∗
7
3
Rate = 21/5 = 4.2 gallons/minute
Step-by-step explanation:
i hope it helps
HURRY QUICK PLEASE HELP!!
Which expression is equivalent to 10V5?
A.V500
B. V105
C. V50
D. V15
Answers
Answer:
A
Step-by-step explanation:
Answer:
Answer: A. √500
Step-by-step explanation:
[tex]10 \sqrt{5} \\ = (\sqrt{ {10}^{2} } ) \times ( \sqrt{5} ) \\ = \sqrt{100} \times \sqrt{5} \\ = \sqrt{500} [/tex]
Is the product of a rational number and an irrational number always irrational?
Answers
Answer:
The product of any rational number and any irrational number will always be an irrational number.
Step-by-step explanation:
determine the area and perimeter
Answers
Answer:
is there a specific equation to use?
Step-by-step explanation:
suppose an object traveling in a straight line has a velocity function given by v(t)= t^2 -8t+ 15 km/hr. Find the displacement and distance traveled by the object from t=2 to t=4 hours.
Answers
v=t^2-8t+15
It has upper limit 4 and lower limit 2[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]
[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]
[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]
[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]
[tex]\\ \sf\longmapsto s=15.3-18[/tex]
Take it +ve[tex]\\ \sf\longmapsto s=|-2.7|[/tex]
[tex]\\ \sf\longmapsto s=2.7km[/tex]
Wh ich of the following tables represent functions? If the relation is not a function, indicate why it is not.
Answers
Step-by-step explanation:
1. the table on the left is a function, with the formula : y = x²
2. the table on the right is also a function, indicated by the values of the input are different each others
The sixth grade teachers bought food for a reward party. They purchased 64 bags of chips and 80 bottles of water . What is the largest number of students that can be invited to the party so they each get the same amount of chips and water?
Answers
Answer:
64
Step-by-step explanation:
Since each student must get the same amount of chips and water, the ratio of the number of chips to water received by each student is 1:1.
Hence, a maximum of 64 students can be invited to the party, as the bags of chips is lower than that of the number of bottles of water, and we take it as a 64.
Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1
Answers
Base case: if n = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.
Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have
(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1
… = (k ² - k) + 2k
… = 2m + 2k
… = 2 (m + k)
which is clearly even. QED
two cars start at the same point.one travel's north at 65 km/h and the other travel's east at 50km/h.How far are they apart after 30 minutes?
Answers
9514 1404 393
Answer:
41 km
Step-by-step explanation:
The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:
d = √(32.5² +25²) = √1681.25 ≈ 41.00
The cars are about 41 km apart after 1/2 hour.
Which of the following is never a quadrilateral with four right angles?
rectangle
square
trapezoid
parallelogram
Answers
their angles never have 4 right angles like rectangles and squares do. And parallelograms can have 4 right angles too. So the answer is 100% trapezoid! Yw
Answer: C.Trapezoid
Step-by-step explanation: I got it correct on pearson
Which is the solution to the inequality below?
1x + 2 + 5 4
0 -3 < x < -1
no solution
O x < -3
O x > -1 or x < 3
Answers
Answer:
ox,-3
Step-by-step explanation:
After subtracting 20% of a number from a number we get 12975.what was the number?
Answers
Answer:
Step-by-step explanation:
d
if M∠ ABD =64 and M∠CBD=30 then M∠ABC=
Need help
Answers
Answer:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]
Substitute in known values:
[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]
And subtract. Hence:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
In conclusion, ∠ABC measures 34°.
Which number is divisible by 6? a.2244 b.1209 c.2630 d.2991
Answers
Answer:
a)2244 is divisible by 6
Step-by-step explanation:
2244/6=374
1209/6=201.5
2630/6=438.333
2991/6=498.5
Tyler rolled a six-sided number cube, recorded the results, and then rolled again. What is the probability that the first roll was an odd number and the second roll was a number less than 3
Answers
Answer:
9
Step-by-step explanation:
The shaded rectangle, which is the correct expression of its perimeter
Answers
Answer:
2x + 2y - 4
Step-by-step explanation:
The opposite sides are congruent so perimeter (P) is
P = 2(x + 2) + 2(y - 4)
= 2x + 4 + 2y - 8
= 2x + 2y - 4
