Answer:
P = I / rt is the formula we're going to use.
P is the principle (which is what we're solving for)
I = the interest accrued over the specified amount of time (2 years)
r = the interest rate (6%)
t = the time specified (2 years)
Change the percent to a decimal. Place the decimal two places to the left to make 0.06.
P = 264 / 0.06(2)
P = 264 ÷ 0.12 = 2,200
Principal borrowed would be $2,200
Round this number to the nearest thousandth.
4.9675
Answer:
4.968
Step-by-step explanation:
Name the axis of symmetry for y=(x-5)^2+1
Suppose you are asked to list in order of preference the best three movies you've seen this year. If you saw eight movies this year, in how many ways can the three best be chosen and ranked?
Answer:
The three best can be chosen and ranked in 336 ways.
Step-by-step explanation:
Since you are asked to list the movies in order of preference, the order is important, as a higher order leads to a higher preference. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
If you saw eight movies this year, in how many ways can the three best be chosen and ranked?
[tex]P_{(8,3)} = \frac{8!}{(8-3)!} = 336[/tex]
The three best can be chosen and ranked in 336 ways.
There are 25 students. Four of these students are selected to attend four different conferences. The first student selected will go to
a conference in Makati city, the second will go to Paranaque city, the third to Quezon city and the fourth to Caloocan city. How
many such selections are possible?
256
12,650
303,600
390,625
Answer:
the number of possible selection is 12650
Option b) 12650 is the correct answer.
Step-by-step explanation:
Given the data in the question;
total number of students n = 25
number of student selected r = 4
[tex]^nC_r[/tex] = ²⁵C₄
= 25! / ( 4!( 25 - 4 )! )
= 25! / (4!(21)!)
= 12650
Therefore, the number of possible selection is 12650
Option b) 12650 is the correct answer.
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
9514 1404 393
Answer:
71.4
Step-by-step explanation:
The perimeter of the polygon is the sum of the lengths of its sides. Opposite sides in this geometry have the same sum, so the perimeter is ...
P = 2(16.4 +19.3) = 2(35.7)
P = 71.4 . . . units
__
The missing length on the lower half of the upper right side is 6.3.
Find the solution to 12x-2=13(x-15)
Answer:
x = 193
Step-by-step explanation:
distribute 13 into (x - 15)
=> 12x - 2 = 13x - 195
subtract 12x on both side
=> -2 = x - 195
add 195 on both side
=> x = 193
Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?
Answer:
58
Step-by-step explanation:
1).2+24+3 = 29
2) 29 x 2 = 58
Acellus
Find Y.
Round to the nearest tenth.
20 ft/
\22 ft
Y
Х 18 ft
Y= [? ]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Enter
Answer:
58.9
Step-by-step explanation:
y²=x²+z²-2×z cos(y)
20²=22²+18²-2(22)(18) cos (y)
400=484+324-792 cos(y)
-408=-772 cos (y)
408/792=cos y
y=cos⁻¹(408/792)=58.9
hope it helps...
have a great day!!
Can someone please help me I will mark u brilliant
Answer:
I believe the answer is 3 3/4.
Step-by-step explanation:
the volume of a rectangular prism is length × width × height
Answer: The volume is 3 3/4 cubic inches.
Step-by-step explanation:
V= l*w*h
V= 1 1/4* 1 1/2*2
v= 3 3/4
Please help me with this math problem.
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
What is the slope of the line represented by the equation y=-} - 5x?
0 -5
win win i
2
3
o
2
05
Answer:
Hi! The answer to your question is A. [tex]-5[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
The slope of the line represented by the equation y= -2/3 - 5x is -5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
y= -2/3 - 5x
We know from slope intercept form
y= mx + b
Where m is the slope and b is the y intercept.
Now, Comparing with given equation we get
m = -5 and b= -2/3
Thus, the slope of line is -5.
Learn more about Slope here;
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The function g is defined by g(x) = x² +4.
Find g(5n)
Answer:
g(5n)=5n^2+4
Step-by-step explanation:
Substitute 5n for x
5n^2+4
You can't really do much with this so that is the answer
Please help I’ll mark you as brainliest if correct!
Answer:
I think you are right
Step-by-step explanation:
A nationwide poll asked a random sample of US adults the question, "Are you in favor of making Election Day a federal holiday?” Based on the results of this poll, the 95% confidence interval for the population proportion who favor making Election Day a federal holiday is (0.64, 0.70).
Interpret the confidence interval.
A. We are 95% confident that less than half of US adults favor making Election Day a federal holiday.
B. 95% of the time between 64% and 70% of US adults favor making Election Day a federal holiday
C. We are 95% confident that the interval from 0.64 to 0.70 captures the true proportion of US adults who favor making Election Day a federal holiday.
D. 95% of US adults are in favor of making Election Day a federal holiday by a margin of 64 to 70.
Answer:
C. We are 95% confident that the interval from 0.64 to 0.70 captures the true proportion of US adults who favor making Election Day a federal holiday.
Step-by-step explanation:
edge
Plz help me find perimeter and area you do not have to do both but plz help no links!!!!!
HELP!!!!!!!!!!!!!!!!!!!!!HELP ME PLEASE I WILL GIVE YOU 50 ponts
Answer:
D
Step-by-step explanation:
-3/8 converted to a decimal is -0.375
The absolute value of -0.5 is 0.5
hence, 0.5 is larger than -0.375
so the answer is d
hope this helps and is right :)
Answer:
Please look at the image.
Step-by-step explanation:
Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas: Time (months) 0 1 2 3 4 5 6 Rate 5 7 9 14 22 31 40 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate
Answer:
overestimate = 7
underestimate = 5
Step-by-step explanation:
Table
_________________________________
Time (months) 0 1 2 3 4 5 6
Rate 5 7 9 14 22 31 40
___________________________________
A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.
Overestimate
For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.
Just a month and that month has a value of 7
= 1* 7 (The largest value) = 7
Underestimate
This would be equivalent to the total until the previous meassure
= 1*5 = 5
Find the volume of each figure. Round to the nearest hundredth if necessary.
Answer:
316.41 m³
Step-by-step explanation:
7.5x7.5x3.75=210.9375
3.75x3.75x7.5=105.46875
210.9375+105.4675=316.405
the ages of people riding a bus or shown below
23 32 16 10 23 31 14 45 12 31 19 31
what is the mode of the ages
A. 31
B. 23
C. 16
D. 10
Answer:
31
Step-by-step explanation:
it is the most repeated number duh
3
60°
х
x = -
y=--
How to solve
Answer5
Step-by-step explanation:
Which expression is equivalent to 7(3a + 4b) ?
21a + 28b
10a + 11b
10a + 28b
21a + 4b
Answer:
A
Step-by-step explanation:
21a+28b
hope this helps :))
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PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
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PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
<1 and <7 , <2 and <8or<4 and <6 , <3 and <5Step-by-step explanation:
There are totally four pairs of alternate angles:Alternate interior angles:-
Pairs - <2 and <8 ; <3 and <5
Alternate exterior angles:-
Pairs - <1 and <7 ; <4 and <6
{You can choose any two pair}7 more than the quotient of a number is 2 and 9
Given:
Consider the given statement is "7 more than the quotient of a number and 9 is 2".
To find:
The value of the unknown number.
Solution:
Let be the unknown number.
Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]
7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]
It is given that, 7 more than the quotient of a number and 9 is 2.
[tex]\dfrac{x}{9}+7=2[/tex]
Multiply both sides by 9.
[tex]x+63=18[/tex]
[tex]x=18-63[/tex]
[tex]x=-45[/tex]
Therefore, the unknown number is -45.
HELP ME OUT PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
18.9
Step-by-step explanation:
Choose the correct simplification of a^5b^6/a^4b^4
Answer:
answer is b²a is the correct answer
Step-by-step explanation:
happy to help :)
Example object in kilometers
Answer:
what are you trying to ask?
Step-by-step explanation:
there's no picture or a question really
Jed received a $2.000 bonus from his job. He put it into an investment account at 4.65% interest and promises not to touch it for 30 years. How much will be in the account at that time?
WILL GIVE BRANLIEST NEED IN 10 MINS
Answer:
$62,790
Step-by-step explanation:
Write an equation to represent the relationship between red paint, r, and yellow paint, y, in each batch.
The equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
At r = 2, y = 3,
r = 4, y = 6,
r = 6, y = 9
Here, r is red paint and y is yellow paint.
The above condition can be written as
2r = 3y
r = 3 / 2y
Therefore, the equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.
To know more about equation:
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find the difference between the place value of: 6 in 6,15,265
Answer:
6,15,265=lakh
6,15,265=tens
hope it helps.
look at the figure. i’ll give you brainlest!!!
Answer:
u already got it cos x = 8f
Step-by-step explanation: