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
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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helppppppppppppppppp
Answer:
1) LInear Pair
2) Adjacent (but not a linear pair)
3) Complementary Angles
4) Vertical angles
Step-by-step explanation:
1st pair of angles are linear because they sum to 180 and are on the same line
2nd pair of angles are adjacent but not linear because they're not on a line
3rd pair of angles are complementary because they're neighboring a 90° angle and the three angles share the same line.
4th pair of angles are vertical because they're across from each other.
Answers:
Linear PairAdjacent (but not a linear pair)ComplementaryVertical AnglesThe answers are given from top to bottom in that exact order.
=======================================================
Explanations:
Angles AOB and DOB are considered a linear pair because they are adjacent and supplementary. They are adjacent because they share a common wall so to speak. That wall being ray OB. They are supplementary because they form a 180 degree angle. As the name "linear pair" implies, the pair of angles form a straight line. Unlike the previous set of angles, these angles are not supplementary. So they aren't a linear pair. However, the angles do share a common ray. So they are adjacent.These angles combine to a right angle (aka 90 degrees). Therefore, they are complementary angles that form a sharp corner. These are vertical angles because they are opposite one another. Ignore ray OB and only focus on lines AD and EC. Vertical angles form whenever we have this X shape like this, and the vertical angles are opposite one another. Vertical angles are always congruent.Jazmine is on a trịp to San Antonio, a distance of 330 km. She only has 3.5 hours to get to a job interview there. She gets stuck in traffic for the first 1.5 hours out of Houston and averages a speed of 60 km/hr. In order to not be late, what speed does she need to travel for the rest of the trip? (Organize your information carefully - total, first part, second part)
Answer:
Jazmine must travel for the rest of the trip at 120km/hr.
Step-by-step explanation:
To find the speed for the latter half of the trip necessary to arrive on time, we can divide the remaining distance by the remaining time.
The remaining distance, in km, is found by subtracting the distance already covered, which is the product of the speed during the first part of the trip and the elapsed time during this part, from the total distance:
[tex]330-1.5\times60=330-90=240[/tex]
The remaining time, in hr, is found by subtracting the elapsed time during the first part from the total time limit:
[tex]3.5-1.5=2[/tex]
Therefore, the necessary speed in km/hr is:
[tex]\frac{240}2=120[/tex]
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
if a shirt selling for $ 18 is marked up to $20 then the percentage increased is equal to
Answer:
11.11%
Step-by-step explanation:
the increased price = 20-18 = $2
the percentage increased = 2/18 ×100%
= 11.11%
Answer: Percent increase = 11.11%
Concept:
Here, we need to know how to find the percentage of increase.
Percent increase is a measure of percent change, which is the extent to which something gains value.
Percent increase = [(final value - initial value) / initial value] × 100%
Solve:
Given information
Initial value = $18
Final value = $20
Given expression
Percent increase = [(final value - initial value) / initial value] × 100%
Substitute values into the expression
Percent increase = [(20 - 18) / 18] × 100%
Simplify values in the parentheses
Percent increase = [2 / 18] × 100%
SImplify by multiplication
Percent increase = 11.11 % (Rounded to the hundredth place)
Hope this helps!! :)
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HELP PLS!!
Find the lateral area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
A. 90 units²
B. 540 units²
C. 1080 units²
D. 360+64√3 units²1
Answer:
B
Step-by-step explanation:
The lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
What is the area?The area of a figure is the two-dimensional space enclosed within the boundary of that figure.
How to solve the question?In the question, we are asked to find the lateral area of the regular pyramid shown.
A regular pyramid is one with all lateral faces the same.
In the given diagram, the pyramid shown has a hexagonal base. So it has 6 equal lateral faces.
Each lateral face is a triangle, with the base as 12 units and height as 15 units.
Thus, the area of one lateral face = (1/2)*12*15 units² = 90 units².
Thus, the total lateral surface area = Lateral surface area of one lateral face*number of lateral faces = 90 units²*6 = 540 units².
Thus, the lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
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Solve 2/5 x + 1/2 = 5/6
Answer:
5/6
Step-by-step explanation:
I'm assuming the x in your equation is used as a variable.
5/6-1/2= 2/6=1/3
2/5x=1/3
x=5/6
adriana has already taken 11 pictures at home, and she expects to take 1 during every vacation. After 6 days of vacation , how many picures would adriana hve taken
Answer:
The answer is 17
Step-by-step explanation:
11 + 6 = 17
Which set of ordered pairs does NOT represent a function?
{(8,9), (-2,9), (7,5), (-4, – 7)}
{(-5, -7),(-5,4), (-2,-8),(3,5)}
{(8,0),(-4, -2), (7,1),(0,0)}
{(-8,3), (-5, – 7),(-4,5), (9,3)}
Answer:
{(-5, -7),(-5,4), (-2,-8),(3,5)}
Step-by-step explanation:
Functions can't use the same x-coordinate twice
the ratio of shorts to pants is 1/2 if there are 8 shorts how many pants are there
A.16
B.4
C.6
D.8
Write the number in expanded form 71,621
Answer:
there are a few types of 'expanded form' but i`ll just do this one
seventy-one thousand, six hundred and twenty-one
The area of a rectangular garden 42 square meters. The width is 5 meters longer than one-third of the length. Find the length and the width of the garden Use the formula, area =length x width
The equation of a circle is given below. Identify the center and radius. Then graph the circle.
(x-3)² + y² =9
Answer:
Center = (3, 0)Radius = 3Graph = see belowConcept:
Here, we need to know the idea of the circle equation.
Circle equation: (x - h)² + (y - k)² = r²
(h, k) = center
r = radius
x = variable
y = variable
Solve:
Given expression
(x - 3)² + y² = 9
Find the point of the center
(h, k) = [tex]\boxed{(3,0)}[/tex]
Find the length of the radius
r² = 9
[tex]\boxed{r=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Can I please have some help fast
Answer:
The second one
Step-by-step explanation:
In that table, all the numbers in the column B can be found multiplying the numbers of column A by 4, and that's a property of ratio
x/3=y/8=z/5 và 2x+3y-z=50
How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze? Use the six-step method.
Answer:
405 gallons
Step-by-step explanation:
Let it be that the amount of gallons of a 70% antifreeze solution is x, when a mixture that is 60 percents of antifreeze is placed in y gallons
x+90=y - the equation of dependence between solutions
The amount of antifreeze in the first one is x/100*70= 0.7x (in gallons), in the second solution (15percents) antifreeze is 90/100*15=13.5 (in gallons).
In the mixture we should get there will be y/100*60=0.6y - gallons of antifreeze
0,7x+13.5=0.6y
We have two equations x+90=y and 0,7x+13.5= 0.6y
0.6x+54=0.6y
0.7x+13.5=0.6y
0.7x+13.5-0.6x-54= 0.6y-0.6y
0.1x-40.5=0
x=405- the answer
p.s. sorry, I don't know what the six-step method is. But the answer is right.
What is the area of the rhombus shown below?
Answer:
Its not a rhombus its a triangle and your answer is 600
Step-by-step explanation:
mutlpiy 20 by 30 to get your answer
please help me get the right answer!!
Answer:
is that distance and bearing . really cool lol
Solve for x.
(2x - 5°
(5x + 10)
B
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
A store is selling a sweater on sale for $17.90. The regular price is %22.95. What percent of the regular price is on sale
Answer:
$21.10
Step-by-step explanation:
700000 is _ times as much as 700 ANSWER FAST!!!!
1,000
theres 4 more 0's in 700,000 than in 700
3(4x+1)=15? X=
What is the solution?
Answer:
x=1
Step-by-step explanation:
3(4x+1)=15
12x+3=15
12x=15-3
12x=12
x=12/12
x=1
given that 3x+2=4 and 2y+6=5 what is x+y?
Really need help on this one!
The value of x+y using given equations is 3x+2y=1.
The given equation are 3x+2=4 and 2y+6=5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
To find x+y:
3x+2+2y+6=4+5
⇒ 3x+2y+8=9
⇒ 3x+2y=1
Hence, the value of x+y using given equations is 3x+2y=1.
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HELP PLSSS IM STARTING SCHOOL AND DODNT FINISH MY HW!!
Answer:
(2,3.5)
Step-by-step explanation:
B=(1,2)
A=(3,5)
In which quadrant , the point (2, -1) lies
1st
2nd
3rd
4th
Answer:
4 th quadrant
Step-by-step explanation:
hope it helps you
10. Name the one example of Analog computer
Answer:
example of Analog computer=
Operational amplifiers
Answer:
there are many types eg cosmic engine
Combine Like Terms
2. What is the simplest expression equivalent to 6g + 10 - 11g - 22 + 3g?
-2g-12
-89-32
2g+12
8g+32
Answer:
-2g-12
Step-by-step explanation:
8. Find the sum and difference between the greatest number and the least number of 7-digits number.
Answer:
sum is 19,999,998 and difference is 0
please brainleist my answer
Answer:
Step-by-step explanation:
The greatest number of 7-digits number is 9,999,999
The least number of 7-digits number........is 1,000,000
Their sum......................................................... is 10,999,999
Their différence ............................................. is 8,999,999
Use the numbers 2, 3, and 4 to provide an example of the Associative Property of Multiplication.
Answer:
(2x3) x 4= 2 (3x4)