$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.
What is Probability?
It is a branch of mathematics that deals with the occurrence of a random event.
Given that $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously.
We need to find the amount in the account after 3 years.
[tex]A=Pe^r^t[/tex]
where A is the amount of money after t years,
P is the principal amount
r is the annual interest rate
P = $14,000, r = 0.04 and t=3
[tex]A = 14000e^(^0^.^0^4^3)[/tex]
A = 15,784
Hence, $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.
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A movie club surveyed 150 high school students. The students were asked how often they go to the movies and whether they prefer comedies or dramas. Their responses are summarized in the following table. Twice a month or less 48 Three times a month or more Comedy 24 Drama 57 21 (a) What percentage of the students prefer dramas? (b) What percentage of the students go to the movies twice a month or less?
Answer:a)
a) 68%
b) 44%
Step-by-step explanation: a) (51+51)/150 × 100 = 102/150 × 100
= 17/25 × 100
= 68%
find the length of x please.
Answer:
x = 7.5
I used the Pythagorean theorem:
[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 4.5^2+6^2=7.5[/tex]
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest? Thanks!
Find the length of side a.
5
3
O A. 16
O B. 34
O c. 2
O D. 4
Answer:
D
Step-by-step explanation:
a=[tex]\sqrt{c^{2} -b^{2} }[/tex]
[tex]\sqrt{5^{2} -3^{2} } =[/tex]4
a=4
HI help i will give brainlist to anyone who answers
Answer: 4
Step-by-step explanation:
Formula:
logb(x) = y, if by = x
Input:
x = 256
b = 4
Solution:
y = log4 256
= log4 44
= 4 log4 4 = 4 x 1
log4 256 = 4
The diameter of a circle is 16 in . Find its circumference in terms of pi?
Answer:
Circumference of circle = πd = π × 16 =16 π in.
or
circumference of circle = 2πr = 2×π×8= 16 π in.
I Need help with this please
Answer:
5
Step-by-step explanation:
Graph the function. Label the vertex and axis of symmetry. g(x)=4x^2-48x+7
this is fairly easy yet i cannot do this
Answer:
( -9, -6)
Step-by-step explanation:
The red dot is the original (6, 9)
The blue dot is when it is rotated 270 degrees clockwise (-9, -6).
Find the value of x.
Answer:
this question doesnt make a lot of sence but i think its 90
Step-by-step explanation:
45+45 = 90
since ats a triangle 180-90 = 90
also the right angle with the red aquare is 90 degrese so i its 90
Answer:
Its a vertical angel, x + 45 =90.
Step-by-step explanation:
PLS HELP ASAP PLS PLS PLS PLS !!!!!!
Type you answer NUMBER ONLY, no units (degrees) *
Answer:
59°
Step-by-step explanation:
180°-116°=64°
57°+64°=121
180°-121°=59°
For the prisms below, a) name it; b) find its Lateral Area, c) find its Total (Surface) Area, and d) find its Volume. Round to the nearest hundredth if necessary.
I dont know
i need help with that too
Answer:
12-2 Surface Areas of Prisms and Cylinders ... Round to the nearest tenth if necessary. ... We need to find the area of the triangle to determine ... The total surface area of the prism is the sum of the ... the mailer and its net. b. Suppose you want to minimize the surface area of the mailer. What would be the dimensions of the Step-by-step explanation:
Find area of triangle 15 ft and 18 ft
Answer:
hbb
2
Step-by-step explanation:
SOLVE !!!!!!!!!!!!!!!!!!!!!
9/ (-3) + 6 x 2 – 7
SHOW YOUR WORK
Answer:
Step-by-step explanation:
9/(-3)+6x2-7
9/-3 = -3,
6 x 2 = 12,
-3 + 12 = 9,
9-7 = 2
Answer:
2
Step-by-step explanation:
9/(-3)+6*2-7
-9/3+6*2-7 simplify 9/3 to 3
-3+6*2-7
-3+12-7
9-7
2
can u help plz
the binary is a secret message, not relevant to the question.
01110100 01101000 01100001 01101110 01101011 01110011 00100000 01100110 01101111 01110010 00100000 01110100 01101000 01100101 00100000 01101000 01100101 01101100 01110000 00100001 00100000 01101001 01101100 01111001
Answer:
All false.
Step-by-step explanation:
The ratio is 3:4.
For every 3 girls, there are 4 boys.
If a class has 7 people, 3 are girls and 4 are boys.
Hence the fraction of boys is 4/7 and girls are 3/7.
Therefore, a and b are False.
The number of boys in the class cannot be 6. If the number of boys is 6, then the number of girls must be 4.5 to maintain the 3:4 ratio, but there cannot be half a girl. So, c is also false. d) the number of pupils in the class is 12. To maintain a 3:4 ratio, the number of pupils in the class must be in multiples of 7. Hence, d is also false.
Mary typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if she took the shortcut shown below PLSSSS HELPPPP
Write the repeating decimal as a mixed number.
Answer:
1 1/30
Explanation:
we know that 0.3 (recurring) is equivalent to ⅓. thus, we can find 0.03 (recurring) by adding an extra decimal behind the denominator to get 1/30.
accounting for the 1, we can now get 1 1/30.
i hope this helps! :D
pls help :) i dont understand
Answer:
(-2,2), (6,6)
Step-by-step explanation:
..........
Please with steps!! Help!
Answer:
40 miles , 1 hour 30 mins
Step-by-step explanation:
(a)
His visit to Nicola is indicted by the horizontal part of the graph.
Using the vertical ( distance ) axis , this shows 40 miles
(b)
Using the horizontal ( time ) axis
The left side of the horizontal red line shows 10.00
The right side shows 11.30
Then 11.30 - 10.00 = 1 hour 30 minutes
-2 (7– 5x – 3) = -2(7 + -5x x +
-14 +
10 х +
=
-14 +
10 х
+
10 х
Answer:
Step-by-step explanation:
make the question clearer homie urs makes no sense
The quotient of a number and 7 decreased by 5 is 10. Write an equation and solve it to find the missing number.
Answer:
x = 105
Step-by-step explanation:
Let the unknown (missing) number be x.
In Mathematics, quotient simply means division i.e to divide a number by another.
Thus, translating the word problem into an algebraic expression, we have;
[tex] \frac{x}{7} - 5 = 10 [/tex]
To find the value of x, we would simplify the algebraic expression.
[tex] \frac{x}{7} = 10 + 5 [/tex]
[tex] \frac{x}{7} = 15 [/tex]
Cross-multiplying, we have;
[tex] x = 15 * 7 [/tex]
x = 105
Which expression is equivalent to (23)–2 • 25?
Answer:
Step-by-step explanation:
That would be 23 - 50, or -27.
Next time, please include the answer choices. Thank you.
I NEED HELP PLZ, WILL MARK BRAINLIEST!!
21Answer:
Step-by-step explanation:
which is fraction closest to zero? -1/3 -1/6 3/8 4/5
Answer:
-1/6
Step-by-step explanation:
Take the absolute value of all the numbers. The smallest one corresponds to the number closest to zero.
Answer: -1/6
Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?
Answer:
its 216 cubic feet.
Step-by-step explanation:
6x6x6 is 216
15 + 10y - 4xy - 6 6.
Answer:
Step-by-step explanation:
15+10y−4xy−66
Soustraire 66 de 15 pour obtenir −51.
−51+10y−4xy
Answer:
-4y
Step-by-step explanation:
15 + 10y - 4xy - 6=-4y
What is the solution to the equation 1/2 (x - 8) = 3/2x + 7
Answer:
x= -11
Step-by-step explanation:
1/2(x-8)=3/2x+7
distribute
1/2x-4 = 3/2x+7
subtract 1/2x from both sides
1/2x cancels out
-4 = 1x+7
subtract 7 from both sides
-11 = 1x (1x is the same as "x")
Answer:
x=-11
Step-by-step explanation:
The solution to the equation is -11.
First I set up the equation.
1/2(x-8)=3/2x+7
Next, I simplified the equation. 1/2x-4=3/2x+7.
Then, I added 4 to both sides. 1/2x=3/2x+11.
Next, I subtracted 3/2x on both sides. -1x=11.
Then, I divided -1 on both sides, so I would have x by itself.
x=-11.
In conclusion, the solution to the equation is x= -11.
To check to make sure this is the correct answer, I put -11 into the x values of the equation.
1/2(-11-8)=3/2(-11)+7
Both sides of the equation equal -19/2.
Pls help I’ve been getting bots all day! I really need help and I will give brainliest!
Not a robot! I don't think.
Y in the beginning goes up to 3.
Y in the end goes down to -2 before shooting back up in an infinite sense.
Increasing: The beginning and the end the line on the graph. (Also the jump in the middle, the round part.)
Decreasing: The middle of the graph. (The jump, downward slope.)
Constant, Y at the near end going in a straight line from 9-12 at a -2.
End behavior: Decide for yourself. Is the line going up without fault at the end an appearing continuous or a discontinuous line?
Answer:
End Behavior:
x⇒-8,y⇒-∞
x⇒∞,y⇒∞
Increasing:(-∞,1},{3,5},{12,∞)
Decreasing:{1,3},{5,9}
constant:(9,12)
hope it helps...
have a great day
Out of 160 workers surveyed at a company, 37 walk to work.
a. What is the experimental probability that a randomly selected worker at that company walks to work?
b. Predict about how many of the 3300 workers at the company walk to work.
Answer:
Step-by-step explanation:
i got it wrong and it showed this instead
a-0.23125
b-720
The required,
(a) The experimental probability that a randomly selected worker at that company walks to work is approximately 0.23125 or 23.125%.
(b) we can predict that about 762 of the 3300 workers at the company walk to work.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
a. The experimental probability of a randomly selected worker at that company walking to work can be calculated as the ratio of the number of workers who walk to work to the total number of workers surveyed:
Experimental probability = Number of workers who walk to work / Total number of workers surveyed
Experimental probability = 37 / 160
Experimental probability = 0.23125 or 23.125%
Therefore, the experimental probability that a randomly selected worker at that company walks to work is approximately 0.23125 or 23.125%.
b. To predict about how many of the 3300 workers at the company walk to work, we can use the experimental probability calculated above to estimate the number of workers who walk to work out of the total number of workers:
Number of workers who walk to work = Experimental probability x Total number of workers
Number of workers who walk to work = 0.23125 x 3300
Number of workers who walk to work = 762.375
Therefore, we can predict that about 762 of the 3300 workers at the company walk to work.
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A line passes through the point (6,-1) and is perpendicular to the line with equation -2x + 3y = -6.
TyryyAnswer:
Step-by-step explanation:
Bjmed
Vince starts with 0 then adds the number 3 times..Jen starts with 1 then multiples the number 10 three time
Answer:
Where are the numbers?
Step-by-step explanation:
????????????????????????????
Answer:
there are no numbers
Step-by-step
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