8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.
Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]
which rounds to
2539.47
b.)
using the same equation we can write
[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]
not sure how to round this, so I'll leave that part up to you
Section A - Cla
Let's tell and write the answers as quickly as possi
a) Natural numbers less than 10 are
b) Whole numbers less than 10 are
c) The least and the greatest natural numbers are
d) The least and the greatest whole numbers are
e) Are all natural numbers whole numbers?
f) Are all whole numbers natural numbers?
g) Is the sum of 5 and 4 a natural number?
h) Is the difference of 5 and 5 a natural number?
i) Is the difference of 5 and 5 a whole number?
which three triangles are similar
Answer:
We need an image.
Place the samples in order from the sample with the greatest variation to the sample with the least variation.
a sample of
20 women
a sample of
5 women
a sample of
45 women
a sample of
60 women
Answer:
1. a sample of 60 women
2. a sample of 45 women
3. a sample of 20 women
4. a sample of 5 women
Step-by-step explanation:
What is the best estimated sum of 6/7 + 4/7?
A) 1/2
B) 1
C) 1 1/2
D) 2
Answer:
C. 1 1/2
Step-by-step explanation:
6/7 + 4/7 = 10/7 So 1 3/7. closest is 1 1/2
Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
helpppppp pleaseeeee
Answer:
length is 17
width is 14
Step-by-step explanation:
Write an equation to the model above
BEST ANSWER GET BRANLIEST
Answer:
0 ≤ x ≤ 2 (i assumed that the arrows included 0 and 2).
Step-by-step explanation:
One arrow shows 0 and greater (as it is pointing right) and the other shows 2 and smaller (as it is pointing left). The arrow pointing right has the equation of:
x ≥ 0 (where x is a random number)
The arrow pointing left has the equation of:
x ≤ 2 (where x is a random number)
Assuming that you need to find an equation so that x fits both inequalities, we combine them into one inequality and get:
0 ≤ x ≤ 2
What is the slope of line 3x - y = 18
Answer:
ok do 3 times whatever to make 18 so the answer is probly 6y
Step-by-step explanation:
Errrr I'm confused... help?
Jane and Shane are debating the answer to the equation 1/4 x = 6.
Jane says m = 1.75
Shane says m = 24
Who is correct?
Please give reasons why
Answer:
Heyaa! Im Pinky! Im here to inform you that you're answer is....
Step-by-step explanation:
!!! Shane Is correct because.... !!!
Explanation:
1. 1/4 of x is 6 becomes
2. 1/4X=6
3. X=6 / 1/4
4. X=6/1 X 4/1
Answer: X=24
Have An Amazing Dayy!!!!
~Pinky~
NO LINKS FIRST ANSWER= BRAINLIEST
Which situation involves a conditional probability? O A. The probability that you roll a 6 on a number cube B. The probability that you make two free throws in basketball C. The probability that you make a second free throw given that you made the first free throw O D. The probability that you are given a book for your birthday
Answer:
c
Step-by-step explanation:
its conditional because you might not make the first free throw.
The situation that involves a conditional probability is the probability that you make a second free throw given that you made the first free throw.
Thus, option (C) is correct.
Conditional probability refers to the probability of an event occurring given that another event has already occurred.
In this case, the probability of making a second free throw is dependent on the condition that you made the first free throw.
Therefore, the probability that you make a second free throw given that you made the first free throw.
Learn more about Probability here:
https://brainly.com/question/32117953
#SPJ4
Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in
Answer:
Step-by-step explanation:
I hope this helps you
Rectangular Prism Volume is
Height. Width. Height
(6.25).(7.5).(8)
375
Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?
Answer:
4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense
i need this done rn plz help
Answer:
answer for yes total, is 5, the answer for no total is 20, the total for junior is 17, and the total for senior is 8.
Step-by-step explanation:
What you do is you add the 2 values. for example, to find the total for the juniors, you would add 1 to 16.
Evaluate cos 17x/6
ill give brainlist
The value of cos(17π/6) = cos(5π/6) = -√3/2.
Hence, cos(17π/6) evaluates to -√3/2.
To evaluate cos(17π/6), we can use the unit circle and the properties of cosine.
First, let's determine the reference angle.
The reference angle is the acute angle formed between the terminal side of the given angle and the x-axis.
The angle 17π/6 is greater than 2π, which means it completes more than one full revolution around the unit circle.
To find the reference angle, we can subtract 2π (or 12π/6) from 17π/6:
17π/6 - 12π/6 = 5π/6
Now, we can evaluate the cosine of the reference angle (5π/6).
In the unit circle, the reference angle 5π/6 corresponds to the point (cos(5π/6), sin(5π/6)).
The cosine value is represented by the x-coordinate of this point.
For the reference angle 5π/6, the x-coordinate is -√3/2.
Therefore, cos(17π/6) = cos(5π/6) = -√3/2.
Hence, cos(17π/6) evaluates to -√3/2.
For similar question on trigonometric functions.
https://brainly.com/question/6904750
#SPJ11
Question: How do you evaluate
cos
(17π/6)
Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?
Answer:
[tex]Pr = 0.50[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Probability that 2 of 3 use sunscreen
From the attached data, we have:
[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]
[tex]n(S) = 10[/tex]
Events where 2 of the 3 uses sunscreen is:
[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen
[tex]n(x) = 5[/tex]
So, the required probability is:
[tex]Pr = \frac{n(x)}{n(S)}[/tex]
[tex]Pr = \frac{5}{10}[/tex]
[tex]Pr = 0.50[/tex]
In the above figure, m∠P = 125° and m∠Q = (5x)°. If angles P and Q are supplementary angles, what are the value of x and the measure of angle Q?
Answer:
I had the same question and the answer is x = 11, m∠Q = 55°
The value of x is 11 and measure of <Q is 55 degree.
What are supplementary angle?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
We have,
m∠P = 125° and m∠Q = (5x)°.
and, P and Q are supplementary angles.
Using the property of Supplementary Angle
<P + <Q = 180
125 + 5x= 180
5x = 55
x= 11
Thus, the measure of <Q
= 5x
= 55 degree
Learn more about Supplementary Angle here:
https://brainly.com/question/13045673
#SPJ2
your basketball team plays 5 games your team scores 10 points in first game 3 points in the second game 2 points in the third game 5 points in the fourth game and 0 points in the fifth game what was the mean number of points your team scored for all five games ?
Answer:
The mean is 4
Step-by-step explanation:MRK ME BRAINLIEST PLZZZZZZZZZZZZZz
ita 4 because first you add up the 10,3,2,5,0. and then it equals 20 and then divided and get the mean which is 4
Answer:
4 points
Step-by-step explanation:
is the answer
What is the answer to this?-
Answer:
Yes it is congruent by HL
What is m
A: 19°
B: 68°
C: 112°
Answer:
m<N=68
Step-by-step explanation:
opposite angles of the parallelogram are equal(or congruent):
4x+36=6x-2
6x-4x=36+2
2x=38
x=38/2=19
the sum of the angles of the parallelogram =360
4x+36=4(19)+36=112 angle P
6x-2=6(19)-2=112 angle M
let Q= N=x
2x+112+112=360
2x=360-224
2x=136
x=136/2=68
3(3u-2)=2(3u+3)
What is the steps
Students from the local high school are selling tickets to the town's annual carnival. Adult
admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first
day, 440 tickets had been sold totaling $1900. How many adults and how many children
entered the carnival during the first two hours it was open?
Answer:
320 adults and 120 children
Step-by-step explanation:
First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.
5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold
a + c = 440
Now solve for either a or c in the second equation. I chose to solve for a. a=440-c
Use that to substitue into the other equation.
5 (440-c) +2.5c = 1900
2200-5c +2.5c = 1900
-5c+2.5c = -300
-2.5c=-300
c=120
Now plug 120 into the equation a+c=440 and solve for a
Confused bab in need ☹️
Answer:
25 in^2
Step-by-step explanation:
So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.
With this, these numbers can both be plugged in to get the answer:
(10 * 5) / 2
50/2
25 in^2
It is squared after the units since it is the area.
At local bakery Jonah decorated 3 cakes at a time. Ellen decorated 7 at a time. If they ended up decorating the same number of cakes by the end of the day, what is the smallest number of cakes that each must have decorated?
Which sequences are converging? Check all that apply.
an
n4
10n3
n2-2n
an
2n2
an
=
25 - 4n3
2n2-n.
n2 +5n+6
an
n +3
m2-n +6
n3 – 3n²
Answer:
B & E
Step-by-step explanation:
Edge trust me
Can somebody help me out my grade are bad
The minimum angle of rotation to map the given image onto itself is
A) 180°
B) 270°
C) 90°
D) 45°
Answ
90
Step-by-step explanation:
because you have add 90 for all of them
Perform the indicated operation.‼️‼️
Answer:
[tex]\frac{n-3}{2n+5}[/tex]
Step-by-step explanation:
Carlos is NOT correct because
Answer:
Carlos should do his own work
What is the surface area of the triangular prism?
a
152 square feet
b
252 square feet
c
172 square feet
d
264 square feet
I would try and help but I think it's missing the picture