Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=1100\hspace{35px}r=0.051\hspace{35px}t=18
P=1100r=0.051t=18
Given values
A=1100e^{0.051(18)}
A=1100e
0.051(18)
Answer: 2,750
Explanation:
Plug in
A=1100e^{0.918}
A=1100e
0.918
Multiply
A=2754.70450683
A=2754.70450683
Use calculator (with e button)
A\approx 2750
A≈2750
Round to nearest ten dollars
please heart!
VVV and rate stars! VVV :D
The amount of money after 18 years nearest to ten will be $2,750.
What is continuous compounding?Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.
The equation is given as,
[tex]\rm A=P_o \times e^{r \times t}\\[/tex]
Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously.
Then the amount after 18 years is calculated as,
[tex]\rm A = \$1,100 \times e^{0.051 \times 18}\\A = \$1,100 \times e^{0.918}[/tex]
Simplify the equation further, then we have
A = $1,100 x 2.504
A = $2,754.7
The amount of money after 18 years nearest to ten will be $2,750.
More about the continuous compounding link is given below.
https://brainly.com/question/19522540
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Determine whether the graph represents a function?
None are correct
The relation is a function
The relation is not a function
Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the second day she sells 8 adult tickets and 4 children tickets for the total 130. Determine the cost of adult and child tickets. Used a to represent adult and c to represent child tickets. Write an equation to represent the sales of day 1 and day 2. Used the elimination method.
Answer: Children tickets cost 7.50
Adult tickets cost 12.50
Step-by-step explanation:
Let a represent adult tickets
Let c represent child tickets
On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:
6a + 5c = 112.50 ...... equation i
On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:
8a + 4c = 130 ....... equation ii
6a + 5c = 112.50 ...... equation i
8a + 4c = 130 ....... equation ii
Multiply equation i by 4
Multiply equation ii by 5
24a + 20c = 450 ........ equation iii
40a + 20c = 650 ......... equation iv
Subtract iii from iv
16a = 200
a = 200/16
a = 12.50
Adult tickets cost 12.50
From equation ii,
8a + 4c = 130
8(12.50) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 30/4
c = 7.50
Children tickets cost 7.50
Using the concept of elimination, the cost of adult and children tickets are $12.5 and $7.5 respectively
Let :
Number of adult tickets = a Number of children's tickets = cCreating a system of equation thus :
6a + 5c = 112.50 - - - (1)
8a + 4c = 130 - - - - (2)
Multiply (1) by 4 and (2) by 5
24a + 20c = 450 - - - - (3)
40a + 20c = 650 - - - - (4)
Subtract
-16a = - 200
Divide both sides by - 16
a = 12.5
From (2) :
8(12.5) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 7.5
Hence, the cost of adult and children tickets are $12.5 and $7.5
Learn more : https://brainly.com/question/17802216
How much time will it take for a bug to travel 5 meters across the floor if it is traveling a 1m/s
Answer:
5 sec
Step-by-step explanation:
1m=1 sec
5m=5 x 1
=5
Answer:
5 sec
Step-by-step explanation:
speed= distance/ time
1 m/s = 5 m/ time
time= 5 sec
Solve for this equation: 500:10||x:50
x=10 and pls give me a thanks
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
helppppp please I will give brainliest
Answer:
-3/4 ata di ako sure sa answer ko ha
Find the value of x.
The angle measures of 2 x degrees, 90 degrees, and x degrees sum to 180 degrees.
Answer:
x = 30°
Step-by-step explanation:
2x + 90 + x = 180
3x = 90
x = 30
Topic: Angles
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}[/tex]
♨ Step - by - step explanation
☯ Given angles :
2x° , 90° , x°☯ To find :
Value of x✎ Set up an equation and solve for x :
[tex] \sf{2x \degree \: + 90 \degree \: + \: x \degree = 180 \degree}[/tex]Add the like terms. Remember that Only coefficients of like terms can be added or subtracted.
➺ [tex] \sf{3x \degree + 90 \degree = 180 \degree}[/tex]
Move 90° to right hand side and change it's sign
➺ [tex] \sf{3x \degree = 180 \degree - 90 \degree}[/tex]
Subtract 90° from 180°
➺ [tex] \sf{3x \degree = 90 \degree}[/tex]
Divide both sides by 3
➺ [tex] \sf{ \frac{3x \degree}{3} = \frac{90 \degree }{3} }[/tex]
➺ [tex] \boxed{ \sf{x = 30 \degree}}[/tex]
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❑ Rules for solving an equation
If an equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets, if any.Collect the terms with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Have a wonderful time ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
solve for the unknown.
4^2x+3=1
what does x equal?
Answer:
x = -1/8
Step-by-step explanation:
4^2x + 3 = 1 start by simplifying the equation
16x + 3 = 1 now subtract 3 on both sides
16x = -2 isolate the variable by dividing 16 on both sides
x = -1/8
Answer:
x = -1/8
Step-by-step explanation:
4^2x + 3 = 1
You want to try to get the x on one side by itself.
First step subtract 3 from both sides
4^2x + 3 -3 = 1 -3
so now it looks like 4^2x = -2
We know 4^2 is 4x4 which is 16.
16x= -2
Divide 16 by both sides.
x = -2 / 16
Reduce.
x = -1/8
15 pts and brainliest, true, correct answers only
If N∈AB and AN= 1 3 · AB, then BN = · AB.
Answer:
13
Step-by-step explanation:
Not sure, i'm sorry
should be the same logic as
a=b
b=c
a=c
A typical red blood cell in human blood has a diameter of approximately 0.000007 m. Enter this diameter
in scientific notation.
In scientific notation, this diameter is
x 10
m.
Answer:
In scientific notation, that would be;
7.0 * 10^-7 m
Step-by-step explanation:
Here, we want to write the given diameter in scientific notation
Mathematically, that can be done by moving the decimal point to the back of 7
The number of times we move will be counted as negative powers of 10 host
Thus, we have;
7.0 * 10^-7
business success edge
hello again thanks for the points but why are you putting these questions because you passed the essay?
One day, Farmer Brown counts his chickens and his
eggs. He finds the ratio of chickens to eggs is 7 to 12. If
there are 77 chickens, how many eggs are there?
Answer:
132 eggs
Step-by-step explanation:
7 chickens to 12 eggs; 77 chickens to x eggs
7/12 to 77/x
77/7 = 11
7/12 (11/11)
77/132
77 chickens to 132 eggs
If there are 77 chickens, and the ratio of chickens to eggs is 7 to 12, there are 132 eggs.
The number of eggs from the given ratio are 132.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of chickens to eggs is 7 to 12.
There are 77 chickens.
Let x be the total number of chickens and eggs.
Now, 7/19 ×x=77
⇒ 7x=1463
⇒ x=209
Number of eggs =209-77
= 132
Therefore, the number of eggs are 132.
To learn more about the ratio visit:
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Please help thanks :)
Answer:
Distributive Property
Step-by-step explanation:
[tex]x(8x+3y)\\We\ multiply\ the\ term\ outside\ brackets\ with\ terms\ inside\ the\ bracket\ equally,\\through\ the\ distributive\ property\ method\ .\\\\Hence,\\x(8x+3y)\\=8x*x+3y*x\\=8x^2+3xy[/tex]
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 120 cm^2?
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
[tex] A = \frac{1}{2}bh [/tex] (1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
[tex] \frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b) [/tex]
We can find the base by solving equation (1) for b:
[tex] b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm [/tex]
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
[tex] 2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm) [/tex]
[tex]\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min[/tex]
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
hey everyone! I need help with 2 things! the first one is what 9+(-8) and -5+-4
Answer:
1. 9+(-8) = 1
2. -5+-4 = -9
Step-by-step explanation:
Carmen spent 88.00 at the mall the money she spent was 25% of the total amount she had in her wallet how much money did Carmen have in her money
Answer:
$352
Step-by-step explanation:
x = total money she had
spent 25% of x = 88
solve for x
x = 88/0.25
x = $352
write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
25, 16, 12
A) Yes
B No
Answer: No
Step-by-step explanation:
To find out if it is a right triangle then use the formula a^2 + b^2 = c^2 where a and b are the legs which are the two small sides and c is the hypotenuse the longest side. Input the values for a, b, and c and solve.
a = 12
b = 16
c= 25
12^2 + 16^2 = 25^2
144 + 256 = 625
400 = 625
This means that it is not a right angle because 400 does not equal to 625.
Hey, I need help in this one.
Answer:
false
Step-by-step explanation:
its false cuz its 3x bigger
2*3=6
4*3=12
hope dis helps
might be wrong buh wutever
ion care if u report it
PLEASE HELP!!!!!!!!!!!!
(also if you dont know please dont answer so the people who know see this)
Answer:
1. A, B, F, G, L
2. A, B, C, F, G, L, M
3. D, K
Step-by-step explanation:
1. THEY ALL HAVE 4 RIGHT ANGLES
Please help with this I need to get my math done!
The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?
Answer:
Square root of 81 is 9
9 multiply with 4 is 36
Permiter is 36cm.
Thank you and please rate me as brainliest as it will help me to level up
whats the answer for this pre algebra equation
1-c+4c-29
FREE ANSWERS PEEPSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
Ok
Step-by-step explanation:
Answer:
US basketball legend Kobe Bryant and his daughter Gianna were among nine people killed in a helicopter crash in the city of Calabasas, California. Bryant, 41, and Gianna, 13, were travelling in a private helicopter when it came down and burst into flames. The LA county sheriff said there were no survivors.
Tony and some friends went to the movies. They bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. Each drink costs $3.50 less than a tub of popcorn.
a. Define a variable. Write an equation that can be used to find the cost of one tub of popcorn.
b. Solve the equation to find the cost of a tub of popcorn.
I really don’t understand this can someone pls help this is due soon and I will mark brainliest do not answer if your not sure
Answer:
|-3|=3
|0|=0
|3|=3
|-5|=5
List the transformations of the function. *
5 points
f(x)= (1/2(- 1/4(x-3))+1
Answer:
Transformations of function f(x) = 1/2(-1/4(x-3)) + 1 :
vertical compressionhorizontal stretchreflection across y-axistranslates righttranslates upLet f be the function defined as follows.(a) Find the differential of f.dy =(b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.)dy =(c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.)Δy=
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.
Answer:
6 to 2 2 to 6
Step-by-step explanation:
The ratios for the given situation are 3/7 and 4/7.
Given that, at a dinner party, two desserts are being served.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Six of the guests choose cheesecake, and eight of the guests choose apple pie.
So, the total number of guests = 6+8
= 14
Now, the ratio who chose cheesecake = 6/14
= 3/7
The ratio who chose apple pie = 8/14
= 4/7
Therefore, the ratios for the given situation are 3/7 and 4/7.
To learn more about the ratio visit:
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What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?
Complete Question
What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)
A 0.8531
B 0.1468
C 0.9332
D 0.0668
Answer:
The correct option is A
Step-by-step explanation:
Generally from the z table the area under the normal curve to the left corresponding to 1.05 is
[tex]P(Z < 1.05) = 0.8531[/tex]
Use row 3 to write an equivalent ratio for the amount of apple juice to orange juice used in 3 smoothies. To create this ratio, what did Sarah do to each number in row 1?