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.
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Related Questions
Yossi used to have a square garage with 354 ft² of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answers
New length = sr(354 x 1.5) = 23.0 feet
Percent increase = (23.0 - 18.8) / 18.8 x 100 = 22.3%
If you calculate the increase using unrounded values it is 22.4744871%. Close to 22.5%.
Avoid using rounded values in any further calculations!
Simpson Office Furniture pays Betty Thomas a $2740 monthly salary plus a 11% commission on merchandise she sells each month. Assume Betty's sales were $94100 for last month. Calculate the following amounts: a. Amount of Commission: b. Gross Pay:
Answers
Answer:
a. 11/100* 94100 =$10,351
b.10,351+ 2740= $13,091
Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answers
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
what is the focus of x2 - 6x + 8y = -9
Answers
Answer:
(3, -2)
Step-by-step explanation:
In order to find the focus of a parabola, you must know that the equation of a parabola in a vertex form is y=a(x−h)2+k where a represents the slope of the equation. From the formula, we can see that the coordinates for the focus of the parabola is (h, k+1/4a).
What is the answer to this question?
Answers
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
What the answer I don’t get Mary at all
Answers
Answer:
1
Step-by-step explanation:
By order of operations, we first evaluate the parentheses, which is 2 * 1 = 2. We then evaluate the brackets, which are 3 / 2 = [tex]\frac{3}{2}[/tex]. Finally, [tex]\frac{3}{2}[/tex] * [tex]\frac{2}{3}[/tex] = [tex]\frac{6}{6}[/tex] or 1.
Steps to solve:
- first do the main ()
2*1 is 2
- now divide
3/2 (keep it has a fraction bcz it will help with the final process
- 3/2 time 2/3 is 1
The answer is 1
If helped mark me the brainiest!!
Help I need an equation and an answer
39. Ashton and James are the same height. If Ashton's height is represented by (6 + 15x) and ames' height is represented by (6x + 42), find the value of x.
Answers
Answer:
x = 4
Step-by-step explanation:
Start by setting the two expressions equal to each other, since they're the same height.
6 + 15x = 6x + 42
Subtract 6x from both sides
6 + 9x = 42
Subtract 6 from both sides
9x = 36
Divide both sides by 9
x = 4
An equation is formed of two equal expressions. The value of x is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the height of Ashton and James are the same height. Also, Ashton's height is represented by (6 + 15x) and James's height is represented by (6x + 42). Therefore, we can write,
Ashton's height = James' height
6 + 15x = 6x + 42
6 + 15x = 6x + 42
15x - 6x = 42 - 6
9x = 36
x = 36/9
x = 4
Hence, the value of x is 4.
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What is the distance in meters of an object that has an angular diameter of 30 arcseconds and a linear diameter of 10 cm
Answers
We have that the distance in meters of the object is
[tex]d=687.55m[/tex]
From the Question we are told that
Angular diameter [tex]d_a= 30 arcseconds[/tex]
Linear diameter [tex]d_l= 10 cm=0.10m[/tex]
Generally the equation for Linear diameter is mathematically given as
[tex]d_l=\frac{d_a*d}{206265}[/tex]
Therefore
[tex]d=\frac{0.10m*206265}{30}[/tex]
[tex]d=687.55m[/tex]
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pls help
write the sentence as an equation
14 is 248 fewer than Q
Answers
Answer:
Step-by-step explanation:
14<Q-248
Answer:
14=Q-248
Step-by-step explanation:
Sorry for small handwriting
Answers
Step-by-step explanation:
4 is added to each number
A/q ,
5x+4/6x+4 = 7/8
Now , cross multiply
7/6x + 4) = 8 (5x + 4 )
42x + 28 = 40x + 32
42x - 40x = 32 - 28
2x = 4
x= 4/2
x= 2
answer :
5x = 10
6x = 12
Step-by-step explanation:
hope it helps.u........
Reduce to simplest form.
-1/4-(-3/5)=
Answers
Add both fractions -1/4+3/5= then find a common denominator so 20 is the common denominator -5/20+12/20=7/20
So ur answer is 7/20
(2.5*10^3)*3.4*10^2 (in scientific notation)
Answers
Answer:
8.5×10⁵Step-by-step explanation:
2.5×10³ × 3.4×10² = (2.5×3.4) × 10³⁺² = 8.5×10⁵[tex]\\ \rm\longmapsto 2.5\times 10^3\times 3.4\times 10^2[/tex]
[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]
[tex]\\ \rm\longmapsto 2.5\times 3.4\times 10^3\times 10^2[/tex]
[tex]\\ \rm\longmapsto 8.5\times 10^{3+2}[/tex]
[tex]\\ \rm\longmapsto 8.5\times 10^5[/tex]
help me solve this problem
Answers
Step-by-step explanation:
i don't get the question
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Mrs. Henson's grandchildren are participating in a gift wrap sale to raise money for their school. She decided to stock up, so she ordered 1 roll of reversible paper and 3 rolls of metallic paper from Peter, spending a total of $43. She also ordered 4 rolls of reversible paper and 4 rolls of metallic paper from Ron, which cost a total of $100. Assuming that rolls of each type are priced the same, what is the price for each kind of paper?
Rolls of reversible paper cost $____ each, and rolls of metallic paper cost $___ each.
Help Me please teacher gunna kill me
Answers
yes what is Ford the priblem
The odometer on your car read 53,305 at this time last year. It now reads 79,964. Estimate the number of miles your car has been driven during the past year. (Estimate to the nearest thousand miles.)
Answers
Answer:
26659
Step-by-step explanation:
subtracting the recent meter and the last time meter
Find the area of a circle with a diameter of 10 feet
Answers
Answer:
31.43ft
Step-by-step explanation:
πd=22/7×10ft
=31.43ft
Answer:
78.5 sq feet
Step-by-step explanation:
Diameter = 10 feet
Radius = 5 feet
Area of circle=πr²
= π(5)²
= 25π
= 25 x 3.14
= 78.5 sq feet
Please please help me
Find the total surface area.
A. 131.7 mi²
B. 143.4 mi²
C. 198.6 mi²
D. 99.5 mi²
Answers
Answer:
B. 143.4 [tex]\text{mi} ^2[/tex]
Step-by-step explanation:
In simple terms, surface area = adding area of all surfaces
This figure has 6 sides.
Surface area = 2 * area of trapezium + 2* area rectangle + area of bottom rectangle + area top rectangle
Surface area = 2 * ([tex](\frac{a+b}{2}) * h + 2* (l*w) + l*w + l*w[/tex])
= [tex]2 * (\frac{3+6}{2} * 2.6) + 2* (8*3) + 3*8 + 8*6[/tex]
= [tex]2 * 11.7 + 2* 24 + 24 + 48[/tex]
= 143.4 [tex]\text{mi}^{2}[/tex]
Let me know if you need further explanation
alan walked 5 miles in 2 hours. how far did he walk in kilometers per minute
Answers
Answer:
Walking speeds vary depending on age, and health of walkers. However, an average comfortable walking speed is about 5 km per hour and 9km per hour can be achieved by many people. This means that in 30 minutes it should be possible to easily walk 2.5km and in 2 hours it should be possible to walk 10km.
Answer:
0.07929 km/min
Step-by-step explanation:
1 miles is 1.903 km
5 miles is 9.515 km in 2 hours
9.515 /2 = 4.7575 km/h
Then divide th speed value by 60
4.7575 / 60 = 0.07929
2 fnd the circumference of a circle in which diametey 42cm.
Answers
Answer:
132cm
Step-by-step explanation:
circumference = [tex]\pi \\[/tex]d = [tex]\pi[/tex](42) = 131.9468 ≈ 132
What’s the integer for 8 mph above the speed limit
Answers
The integer that describes 8 mph above the speed limit is +8
The given parameter:
8 miles per hour (mph) above the speed limit
To find:
the integer above the speed limitThe given expression contains integer that describes the magnitude of the expression and S.I unit that describes the dimension of the quantity.
miles per hour = unit of the quantity8 is the integer+8 is the integer above the speed limitNote: integers are whole numbers
Thus, the integer that describes 8 mph above the speed limit is +8
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How much cat food do all of the cats eat in one day?
Answers
Evaluate the function and simplify.
f(x)=6x^2 -1/x^2
f(-x)=?
Answers
Step-by-step explanation:
f(-xl= 6(-x)^2 - 1/(-x)^2
=6x^2- 1/x^2
f(x)= f(-x)
It is an even function
What is the remainder of f(x)=x^3+x^2-9x+23 When divided by binomial X +4
Answers
Answer:
The remainder is 11.
Step-by-step explanation:
We are given the polynomial:
[tex]f(x) = x^3 + x^2 - 9x + 23[/tex]
And we want to find its remainder when the polynomial is divided by:
[tex]x + 4[/tex]
We can use the Polynomial Remainder Theorem. According to the PRT, if we divide a polynomial P(x) by a binomial in the form (x - a), the remainder will be given by P(a).
In this case, our binomial is (x + 4) or (x - (-4)). Hence, a = -4.
Then the remainder will be f(-4):
[tex]\displaystyle \begin{aligned}f(-4) &= (-4)^3 + (-4)^2 - 9(-4) + 23 \\ &= 11 \end{aligned}[/tex]
In conclusion, the remainder of the operation is 11.
Which is a point on the circle whose center is (0,0) and whose radius is 5? A. (0,0)
B. (4,5)
C. (3, 4)
D. (2,3)
Answers
Answer:
(3,4)
Step-by-step explanation:
x^2+y^2=(5)^2
if you graph it you will see that (3,4) is on the circle
Islamic Question That I Need Asap:
Enumerate The Recommendations Of Prophet Muhammad (PBUH) From The Hadeeth Below
“O boy! I will instruct you in some matters. Be mindful of Allah, and He will protect you. Be mindful of Allah, and He will be ever with you. If you beg, beg of Him alone; and if you need assistance, supplicate to Allah alone for help. And remember that if all the people gather to benefit you, they will not be able to benefit you except that which Allah had foreordained for you; and if all of them gather to harm you, they will not be able to afflict you with anything other than that which Allah had predestined against you. The pens had been lifted and the ink had dried up.
Answers
Answer:
[tex]thank \: you[/tex]
A cake at a child's birthday party is cut into 12 even pieces. Seven pieces are served to the children and each child eats half of a piece. How much cake was eaten?
Answers
Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?
Answers
Answer:
See the last two lines below. I don't know which one you want.
Step-by-step explanation:
hypotenuse = 12
One leg = 5
other leg = x Substitute into a^2 + b^2 = c^2
x ^2 + 5^2 = 12^2
x^2 + 25 = 144 Subtract 25 from both sides
x^2 = 144 - 25 Combine
x^2 = 119 Take the square root of both sides
x = sqrt(119)
x = 10.91
rob has 31 pounds of chocolates he divides it into 5 equal portions .how much does each portion weigh?
a. 31 ib
b. 5 ib
c. 18 ib
b. 9 ib
Answers
Plss help me! Brainlist! Pls!!! I’m so confused!!!!
Answers
Which expression is equivalent to a + a"?
O amin
aman
amin
Answers
third option:- a^m-n
your welcome.