Answer:
Step-by-step explanation:
We will need 2 different equations for this problem. For compounding a certain number of times a year, the formula is
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] so let's do that first. Filling in we get
[tex]A(t)=10000(1+\frac{.03}{4})^{(4)(5)[/tex] and simplifying a bit gives us
[tex]A(t)=10000(1+.0075)^{20}[/tex] and a bit more,
[tex]A(t)=10000(1.0075)^{20}[/tex] and then
A(t) = 10000(1.161184142) so
A(t) = 11611.84
Then for the compounding continuously, the formula is
[tex]A(t)=Pe^{rt[/tex]
[tex]A(t)=10000e^{(.03)(5)}[/tex] and simplify a bit to\
[tex]A(t)=10000e^{.15}[/tex] Now raise e to the power of .15 on your calculator to get
A(t) = 10000(1.161834243) so
A(t) = 11618.34
Not too much of a difference between the 2 values at the end.
Questions:
a. How much will Mr. Santos has saved after 2 weeks? After 3
weeks? 4 weeks? After 5 weeks? After 6 weeks? After 7 weeks?
Summarize your answer using the table below.
5
7
Week
1
2
3 4
6
No.
Savings 300 300 + 100
= 400
b. Describe the pattern you used to fill in the table.
II
122222222222222222222222222222222222
Which ordered pair could be removed to
make the set a function?
{(1,3), (2,4), (3,4), (3,6), (5, 10), (6,3)}
A. (1,3)
B. (6,3)
C. (5, 10)
D. (3,4)
Answer:
The answer is choices D.
Step-by-step explanation:
hope this helps
what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?
Answer:
8075.
Step-by-step explanation:
Volume of the prism
= 12 1/2 * 8 1/2 * 9 1/2
= 25/2 * 17 / 2 * 19/2
= 8075/8 cm^3
The volume of the small cubes = (1/2)^3 = 1/8 cm^3
So the number required = 8075 / 8 / 1/8
= 8075*8 / 8
= 8075.
Three students are arguing over who can run the fastest. Student A says that she can run 2/3 mile in six minutes. Student B says that he can run 1/2 mile in four minutes. Student C says that he can run 4/5 mile in eight minutes. Type your answer as a number. Fractions should be expressed in lowest terms. What fraction of a mile can Student B run in one minute?
Answer:
student A- can run 2/3 mile in six minutes
1/9 mile/min
student B- can run 1/2 mile in 4 minutes
Speed=1/8 mile/min
student C- can run 4/5 mile in 8 minutes
speed=1/10 mile/min
Step-by-step explanation:
the averages of the squared differences between the data values and the mean is known as
Order of Operations with and without variables
Answer:
Step-by-step explanation
8(-1)^4-3(-1)-7= ?
multiply 8 * -1= -8
so -8^4= 4096 that part is done.
now do -3 * -1 and get 3 because two neg. = posit.
so now the question should say
4096+3-7=?
4096+3= 4099-7= 4092
x=4092 i think unless that isnt what you are doing im srry if this is incorrect i tryed and i hope this is correct...again im srry if this is incorrect
Answer:
4
Step-by-step explanation:
8(-1)^4=8
-3(-1)=3
8+3-7=4
PLEASE HELP STAT WILL MARK BRAINLIEST.
There are 78 skiers in line to ride the chair lift. If each chair seats 4 people, how many skiers will be on the last chair? [REMAINDER]
Answer:
19 r2
Step-by-step explanation:
okay so if you have 19.5 and there are 4 people per chair lift. You have to find half of 4 because .5 equals one half in this situation.
4 divided by 2 equals 2 so your remainder is 2
i just dropped my moms vase and it shatterd.
Answer:
tell your grandma your sorry
Step-by-step explanation:
Answer:
Blame it on your dog :)
Step-by-step explanation:
The table below shows the probability distribution of students in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?
Age
13, 14, 15, 16, 18
Probability
0.01, 0.28, 0.30, 0.25,0.15,0.01
A. 15.28
B. 15.64
C. 15.34
D. 15.36
Answer: 15.28
Step-by-step explanation:
The expected value for the age of a randomly chosen student is,
⇒ 15.28
Given that:
Total number of students,
⇒ n = 1500,
And, Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Now,
We can Calculate the expected value as shown below,
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38
Therefore, The expected value for the age of a randomly chosen student is 15.38.
To know more about probability:
brainly.com/question/743546
#SPJ7
Line segment pq shown on the graph below, is rotated 90 counterclockwise about point q to form pq
Answer:
this isn’t a 100% guaranteed correct answer but maybe the second option saying “PQ and P’G’ are parallel”
(i’m doing the test rn)
Answer: PQ and P’Q’ are perpendicular (3rd option)
Step-by-step explanation: they’re both perpendicular
what is 5,300 rounded to the nearest thousand
Answer:
5,000
Step-by-step explanation:
Interest on $5,255 at 12 percent for 30 days (use 360 days) is:
Answer:
$52.55
Step-by-step explanation:
I=(5255×12×30/360)/100
I=(5255×12×1/12)/100
I=5255/100=52.55
Y=-1/4x +9 what is the slope and y - intercept
Answer:
The slope is -1/4 and the y intercept is at (0, 9)
Step-by-step explanation:
In the equation y = mx + b, m is the slope and b is the y intercept.
Since -1/4 is the coefficient to x in the equation, the slope is -1/4.
Since there is a +9 at the end of the equation, the y intercept is (0, 9).
So, the slope is -1/4 and the y intercept is at (0, 9)
Determine whether the triangles are congruent using sas sas asa aas HL
Answer:
They are congruent bc they are the same size and shape
Answer:
Congruent by SAS
Step-by-step explanation:
As given by the diagram, we have two congruent sides already. From the set of parallel lines, we see that two angles are congruent because they are corresponding. Luckily, this angle falls between the two congruent sides, which gives you the proof of SAS.
Only need a answer for problem a
The answer is 120. Find the supplementary angles by subtracting 60 from 180.
180-60=120
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. What is the probability that a randomly selected student studies for a test and gets a B or higher?
0.08
0.11
0.33
0.55
Answer:
.33
Step-by-step explanation:
the width of a rectangle is 3/4 length. The perimeter is 252 cm. What is the width of the rectangle?
“The answer is C. Divide 252/2 to get one width plus one length. Then, divide by seven parts, 3 for the width and 4 for the length. It is 18. Multiply for 3 because of 3/4 and you get 54.“
What is the area of a square with side a = 3m?
Answer:
12
Step-by-step explanation:
Answer:
9 Square Meters
Step-by-step explanation:
3x3=9
A local restaurant only sells burgers and cokes. 3 burgers and 5 comes cost $17, while 6 burgers and 9 cokes cost $33. What’s the price of a burger?
Answer:
The price of a burger is $4 and that of cone is $1.
Step-by-step explanation:
Let the cost of burger is x and that of cone is y.
ATQ,
3x+5y = 17 ....(1)
And
6x + 9y = 33 ...(2)
Multiply equation (1) by 2.
6x + 10 y = 34 ...(3)
Subtract equation (2) from (3)
6x + 10 y-(6x + 9y) = 34 - 33
6x + 10 y-6x- 9y = 1
y = 1
Put the value of y in equation (1)
3x+5 = 17
3x = 12
x = 4
So, the price of a burger is $4 and that of the cone is $1.
Write the equation of the line that has a slope of 8 and passes through the point (9, -1).
Answer:
Y=8x-9
Step-by-step explanation:
help as fast as you can!!!!!! Any living thing is called an organism,no matter if it is one-celled or many-celled. True or False?.
Answer:
true
Step-by-step explanation:
Answer:
TRUE.
Step-by-step explanation:
if the probability of picking a pink jelly bean out of a bag is 4/15, what is the probability of not picking a pink jelly bean
Answer:
The probability of not picking a pink jelly bean: 11/15
Step-by-step explanation:
As we know that the maximum value of the probability of an event would always be 1.
The reason is that '1' is certain that something would happen.Given that the probability of picking a pink jelly bean out of a bag is 4/15.
Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.
i.e.
Probability of not picking a pink jelly bean = max probability - 4/15
= 1 - 4/15
= 11/15
Therefore, the probability of not picking a pink jelly bean: 11/15
Solve each equation. Check your solution.
a - 5 = -12
Answer:
A = -7
Step-by-step explanation:
Isolate the variable by adding 5 to each side. This becomes A = -7. To check your work plug -7 in for A.
-7 - 5 = -12
-12 = -12
This is true so -7 is the correct answer.
plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.
Answer:
A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
Step-by-step explanation:
Write the equation of the linear relationship in slope-intercept form using decimals as needed
Answer:
25/82
Step-by-step explanation:
what can graphs involving constant rate be used for
Help me please *an image is attached*
Answer:
the height it is at is 95 meters
If the human brain operates at one billion billion calculations per second, why does a computer do maths faster than a person?
Don't answer, take the points.
Answer:
thanks bro
Step-by-step explanation:
Step-by-step explanation:
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The cost of 4 belts and 5 ties is $247. Each time costs 3 times as much as a belt. What us the total cost of 1 belt and 1 tie
Answer:
The total cost of 1 belt and 1 tie is $13 and $39 respectively.
Step-by-step explanation:
Given that,
The cost of 4 belts and 5 ties is $247.
Each tie costs 3 times as much as a belt.
Let the cost of a belt is x and that of a tie is y.
ATQ,
4x + 5y = 247 ...(1)
y = 3x ....(2)
Put the value of y from equation (2) in equation (1)
4x + 5(3x) = 247
4x + 15x = 247
19x = 247
x = 13
Put the value in equation (2)
y = 3x
= 3(13)
= 39
So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.
HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation: