Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Initial investment (P)= $5,000
Interest rate (r)= 5% simple interest
Number of periods (t)= 7 years
To calculate the interest earned, we need to use the following formula:
I= P*r*t
I= 5,000*0.05*7
I= $1,750
To calculate the future value of the investment, we need to use the following formula:
FV= I + P
FV= 1,750 + 5,000
FV= $6,750
A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
Answer:
8/56
Step-by-step explanation:
Add up all other marble colors then find the difference from the total.
Answer:
1/7
Step-by-step explanation:
there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%
The two-way frequency table below shows the results taken from a survey of 500 randomly selected
adults aged 25 to 49. They were surveyed on their preference between two brands of pasta sauces. In
another survey of people aged 25-49, a total of 400 people preferred Sauce B. Based on the data
below, how many of those 400 people would be expected to be age 40-44?
Answer:242
Step-by-step explanation:
bc you have 25 to49 adults divide and subtracts & you get 242 , hope this helps !
83 people out of 400 people would be expected to be age 40-44.
What is probability?Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
As, 400 people choose sauce B.
In the given table there 302 people who choose sauce B, in which 63 people belongs to group 40-44
So, 63/302= x/400
302*x=63*400
x=83.
Hence, 83 people out of 400 belongs to group 40-44 who choose sauce B.
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If AC = 26, find BC.
Answer:
I think it's 20 or maybe 18 not sure.
[3×2⁵-13 ×(-2)] + 2³ ÷ (-2² +3²) -3
Answer:
120.6 is the answer
Step-by-step explanation:
223.6 x 0.0048 rough checks
Answer:
1.07328
Step-by-step explanation:
223.6 x 0.0048=1.07328
What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1
A. x=8.40
B. x=18.38
C. x=8.17
D. x=19.45
Answer:
B
Step-by-step explanation:
log4x = 2.1
logx/log4 = 2.1
logx = log(4) x 2.1
logx = 1.264
x = 10^(1.264)
x = 18.38 (to two d.p)
What is the correct answer I will mark brainlist
Answer:
3rd
Step-by-step explanation:
MARK AS BRAINLEST!!
The Sine Function
The phrases of the Moon are periodic and repetitive. A new Moon occurs when no Moon is visible to an observer on Earth. During the first quarter, half of the side of the Moon facing the Earth is visible. During a full Moon the entire side of the Moon is Visible. During the last quarter the other half of the side of the Moon facing Earth is visible.
The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008.
Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case? Explain.
a. Yes, it shows repeated and periodic behavior.
b. Yes, it shows a curve increasing from left to right.
c. No, the points are random.
d. No, the points depict a parabola.
Please select the best answer from the choices provided
Answer:
A. Yes, it show repeated and periodic behavior.
Step-by-step explanation:
I calculated it logically
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards
greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 155
square yards. The situation is modeled by the equation h2 + 5h 155. Use the Quadratic Formula to find the
height that will give the desired area. Round to the nearest hundredth of a yard.
320 yards
c. 20.4 yards
b. 10.2 yards
d. 12.7 yards
a.
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Answer:
b. 10.2 yards
Step-by-step explanation:
The quadratic formula tells you the solutions to ...
ax² +bx +c = 0
are given by ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here, the quadratic equation we have is ...
h² +5h -155 = 0
So the solutions given by the quadratic formula are ...
[tex]h=\dfrac{-5\pm\sqrt{5^2-4(1)(-155)}}{2(1)}=\dfrac{-5\pm\sqrt{645}}{2}=\{-15.2,10.2\}[/tex]
The negative solution is not applicable in this situation, so the height that gives the desired area is 10.2 yards.
In order to set rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto repair shop take per year. A previous study indicated that the population standard deviation is 2.8 days. How large a sample must be selected if the company wants to be 95% confident that the true mean differs from the sample mean by no more than 1 day?
A. 512
B. 1024
C. 141
D. 31
Answer:
D. 31
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study indicated that the population standard deviation is 2.8 days.
This means that [tex]\sigma = 2.8[/tex]
How large a sample must be selected if the company wants to be 95% confident that the true mean differs from the sample mean by no more than 1 day?
This is n for which M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{2.8}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*2.8[/tex]
[tex](\sqrt{n})^2 = (1.96*2.8)^2[/tex]
[tex]n = 30.12[/tex]
Rounding up, at least 31 people are needed, and the correct answer is given by option D.
evaluate -3x³-4x for x=-1
Answer:
7
Step-by-step explanation:
Sub -1 in for each x:
-3x³-4x
-3(-1)³-4(-1)
-3(-1)+4
3+4
7
PLEASE HELP ASAP!!
Which statement describes the behavior of the function
around the vertical asymptotes?
Answer: B
Step-by-step explanation: if you look from both sides u can see it adds up + i got it right on edg:)
The statement describes the behavior of the function around the vertical asymptotes is B.
We have given the graph,
We have to determine which statement describes the behavior of the function around the vertical asymptotes.
What is the vertical asymptotes?
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.
If you look from both sides of the graphs you can see it adds upward.
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You spin a spinner that has 8 equal-sized sections numbered 1-8. Find each probability
Answer:
unlikely
Step-by-step explanation:
Answer:
1 to 7
Step-by-step explanation:
The probability of each landing on any of the numbers is 1 to 7
Find the probability of getting heads 2 times in a row, then rolling a 6 sided die and getting
either a 1 or 6.
Answer:
1/12
Step-by-step explanation:
The probability of rolling a die and landing it on heads is 1/2 percent. Flipping the coin another time and landing it on heads is 1/4 percent because you need to multiply when doing probabilities, so 1/2 times 1/2 equals 1/4.
Now moving on, rolling a 6 sided die and getting either a 1 or 6 is 1/3 percent because 1 and 6 are two different numbers you can roll so it's 2/6, and when it's simplified, it's 1/3.
After doing that, to find the probability of the whole equation, you would need to multiply 1/4 times 1/3 which would give you 1/12 as your answer.
I NEED HELPPPPPPPP!!!!!!!!!!
Answer:
the second one is the largest
Step-by-step explanation:
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
triangleACB~triangleEFD
Answer: 4
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so
[tex]\frac{y}{12}=\frac{5}{15}\\\\\frac{y}{12}=\frac{1}{3}\\\\y=4[/tex]
the measure of an angle is fifty nine times the measure of its supplementary angle. What is the measure of each angle
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Answer:
177°, 3°
Step-by-step explanation:
If the smaller angle is s, then the sum of the two angles is ...
s + 59s = 180°
s = 180°/60 = 3° . . . . . divide by the coefficient of s
59s = 177° . . . . . . . . . find the larger angle
The two angles are 177° and 3°.
Paul can build a desk in 12
hours. Shawn can build the
same desk in 8 hours. How
long would it take them to
build it together?
[?] minutes
Answer:
288
Step-by-step explanation:
First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.
Then find a common denominator and add those together to find how much they could do together in 1 hour.
2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.
So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)
It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288
So it will take them 288 minutes to build the desk together.
The location of a public library is 12 miles east of a residential apartment. The location of a school is 5 miles south of the residential apartment. What is the SHORTEST distance between the public library and the school?
Answer:
13 miles
Step-by-step explanation:
12 miles
Home --------------------------------------------------------Library
|
5 miles |
|
|
|
School
We can draw an imaginary line betwen school and library. by using the pythagoras theorem, because it is a right triangle. the distance between school and library is 13.
I WILL MARK BRAINLIEST
DO NOT GUESS OR ATTACH FILE OR I WILL REPORT
Mara spins this spinner and rolls one six-sided die. What is the probability of spinning a 3 and rolling a 3 on the die?
(Photo above) Pls help
Answer:
2/12 if the spinner has 6 chooses. I think sorry if I'm wrong
Step-by-step explanation:
17521 rounded to the significant figure
What is the area of the figure?
7 in
Bin.
in
16 m
Answer:
112
Step-by-step explanation:\
Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)
If we follow this and plug in the Numbers we get the equasion- A=7x16
And so we solve and get the answer 112
hope this helped have a great day :3 (brainliest pls i need one more )
Help !!!!!!!!!!!!!!!!!!!!!
Answer:
only one of the side is a 4 so the answer is 6/6 -1/6=5/6
[2x(3+5)+6]x4 what is the value of this expression
Answer:
16x5+6x4
Step-by-step explanation:
(2x(3+5)+6)(x4)
=(2x(3+5)+6)(x4)
=(2x(3+5))(x4)+(6)(x4)
=16x5+6x4
Answer:
88
Step-by-step explanation:
to solve these kind of questions use BODMAS
HELP HELP HELP PLEASSSEEEE I NEED THE FULL EQUATION!! I WILL GIVE BRAINLY
Answer:
y=11/5x+1
Step-by-step explanation:
I am probably wrong :/
Answer:
y= -2/5x+1
Step-by-step explanation:
The slope of the line is -2/5 and the y intercept is 1.
help im giving brainliest to the person who helps me with both questions! :)
Answer:
1.)C
2.A
Step-by-step explanation:
Is either x = 8 or x = 10 a solution to 5x < 52?
A. x = 8 is a solution, but x = 10 is not.
B. Neither is a solution.
O C. x = 10 is a solution, but x = 8 is not.
D. They are both solutions.
Answer:
B. neither of them are solutions
Four times the difference of a number and 16.
Answer:
C
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
What are the volume and the surface area of this storage chest?
Answer:
Hello!
answer: volume is 18
answer: surface area is 44
Hope that helps!