Answer:
The Principal = $75,000
Step-by-step explanation:
Formula for finding the principal:
I × 100/ R × T
Therefore;
Principal = 45 × 100 / 3/ 100 × 2
[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]
Which means that the Principal is $75,000.00
Seating reads 1/12 part of a book in a day. If there are 360 pages in a book, how many pages does swati read in a day?
Given:
Total number of pages in a book = 360 pages
Fraction of pages Swati reads = [tex]\frac{1}{12}[/tex]
To find:
Number of pages Swati reads in a day
Steps:
Since we know the fraction of pages Swati reads each day, we can multiply the fraction with the total pages to find the number of pages read each day.
[tex]=360 * \frac{1}{12}[/tex]
[tex]= \frac{360 * 1}{12}[/tex]
[tex]=\frac{360}{12}[/tex]
[tex]=\frac{180}{6}[/tex]
[tex]=\frac{90}{3}[/tex]
[tex]=\frac{30}{1}[/tex]
= 30
Therefore, Swati reads 30 pages of the 360 pages per day.
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Identify each expression as linear or not linear.
5x + 3 please help me if you do I will pray for you
5x + 3 is a linear equation in one variable
convert the decimal number 356 to a Quinary number
Answer : Yes the answer to your question is 2411.
Explanation : how I got the answer
To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:
To convert integer 356 to quinary, follow these steps:
Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get the equivalent quinary number.
356 / 5 = 71 with remainder 1
71 / 5 = 14 with remainder 1
14 / 5 = 2 with remainder 4
2 / 5 = 0 with remainder 2
Here is the answer to 356 decimal to quinary number:
2411
Line p and line q are ______
Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)
Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot represents their reported number of hours of phone usage per week.
Answer:
where is the dot plot??
Step-by-step explanation:
What is the value of x?
sin(x + 25)" = cos(2w +20)".
Answer:
the value is 1789 trust me out that in
Step-by-step explanation:
it just is
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A baker has already made 4 batches of cookies and needs a total of at least 150 cookies for an event. If one batch makes 12 cookies, which
graph shows how many more batches the baker needs to make to have enough cookies for the event?
A.
HHHH
OC.
HHH
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Please help ! What’s the answer ?!!
Answer:
x= 70
Step-by-step explanation:
I need help with this question
Answer:
$18.63
Step-by-step explanation:
15% of 45 is equal to 45 times .15, which is equal to 6.75.
45+6.75 = 51.75
Ben resold the guitar for $51.75
36% of 51.75 is equal to 51.75*.36 or 18.63
Ben spent $18.63 on books
A rectangular room has an area of 12 m².the length of the room is 4m. what is the width of the room?
Answer:
3
Step-by-step explanation:
area of rectangle = length × width
so the the given area is 12
area of rectangle is 12 = 4 × width
so when we multiply 4 × 3 we get 12
and the final answer is ...
area of rectangle = length × width
4× 3 = 12
Write the Slope Intercept Form equation of the line that passes through the points (-4,-2) and (-2,3)
Answer:
y = 5/2x + 8
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - (-2) / -2 - (-4)
5 / 2
= 5/2
y = 5/2x + b
3 = 5/2(-2) + b
3 = -5 + b
8 = b
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
(hegarty maths))
Answer:
The probability of getting 2 blues is 25/121.
Step-by-step explanation:
There are 6 + 5 marbles in total, 11 marbles.
The chances of picking a blue marble is 5/11.
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11.
5/11 * 5/11 = 25/121
The probability of getting 2 blues is 25/121.
Hope this helps, please mark brainliest! :) Have a great day.
What’s the line of y= -1/2x+2
Answer:
A picture of the graph is attached
Step-by-step explanation:
What is the length of Line segment A C?
Answer:
12
Step-by-step explanation:
The triangles are similar because they have the same angles.
Make a proportion to solve for AC which we will substitute with variable x.
AM = MB = 4
AB = AM + MB = 8
BN = NC = 3
BC = BN + NC = 6
big triangle sides: 8, 6, x
small triangle sides: 4, 3, 6
now we can write proportion.
8/4 = x/6
x = 12
AC = 12
Solve for j
-1/3 = j/4 - 10/3
This is the hardest question on here and it’s worth points so I need help
Answer:
P = 11 4/5
Step-by-step explanation:
Let L = 2 1/2 and w = 3 2/5
[tex]P=2(2\frac{1}{2})+2(3\frac{2}{5})\\\\P=5+6\frac{4}{5}\\\\P=11\frac{4}{5}[/tex]
The perimeter as a mixed number is P = 11 & 4/5, but it seems like your teacher only wants the whole part of the answer. So you'll just type 11.
============================================================
Work Shown:
1/2 = 0.5
2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
This shows that L = 2.5 ft
Similarly, W = 3.4 ft because 3+2/5 = 3+0.4 = 3.4
-----------------
Plug those L and W values into the perimeter formula
P = 2L + 2W
P = 2*2.5 + 2*3.4
P = 5 + 6.8
P = 11.8
now convert back to a mixed number
11.8 = 11 + 0.8
11.8 = 11 + 8/10
11.8 = 11 + 4/5
11.8 = 11 & 4/5
The perimeter is 11 & 4/5 ft. In other words, the perimeter is 11 whole feet plus an additional 4/5 of a foot.
Your teacher seems to only want the whole part of the answer, assuming they only want the stuff in the box indicated with a question mark. If that's the case, then you'll type 11 into the box to write the final answer.
Simplify. Write the answer using scientific notation.
8(710-3)
A. 56 x 10-3
B. 5.6 *10-2
C. 4.48 x 10-1
Answer:
A. 56×10 -3
Step-by-step explanation:
Just multiply 8 and 7 and number of zeros should remain same.
[tex]8(7 \times 10 {}^{ - 3} ) \\ 56 \times 10 {}^{ - 3} [/tex]
Hellpp and thanks!!
Answer:
c = 4n
Step-by-step explanation:
Are you a Republican or Democrat? Why? Just curious to hear others opinions
Which radical expressions are equivalent to the exponential expression
below? Check all that apply.
Step-by-step explanation:
:)
Hola bro espero y te sirva
In a survey of 200 employees of a company regarding their 401(k) investments, the following data were obtained.
142 had investments in stock funds.
84 had investments in bond funds.
67 had investments in money market funds.
50 had investments in stock funds and bond funds.
33 had investments in stock funds and money market funds.
35 had investments in bond funds and money market funds.
21 had investments in stock funds, bond funds, and money market funds.
(a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.)
(b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.)
(c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)
Answeni ideAA{
}
Step-by-step explanation:
What is the value of f(3) in the function below? f(x) = 1/2 .2^x O A. 4 B. 2 O c. 133 3 2 D. 8
Answer:
B
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x) , that is
f(3) = [tex]\frac{1}{4}[/tex] × 2³ = [tex]\frac{1}{4}[/tex] × 8 = 2 → B
Answer:
2
Step-by-step explanation:
f(3)=1/4×2^3
f(3)=1/4×8
f(3)=8/4=2
Simplify -5^2 + 8|-1| + (-3).
30
-36
-20
14
Answer:
-20
lmk if u need a step-by-step explaination id be glad to help you <3
Answer:
-20
Step-by-step explanation:
-5 ^ 2 is -25
|-1| is the same as 1
so this will be
-25 + 8 - 3
- 20
In converting 9 inches to yards, what unit (omit the number) would you place
in the numerator of your ratio? Use the plural form in your answer. Remember
that there are 36 inches in 1 yard.
To convert inches to yards you would divide the number of inches by inches per yard.
The numerator would be the inches given and the denominator would be 36
The ratio would be inches / inches per yard.
Numerator = inches
solving system by substitution
Answer:
The solution of this system is (9, 2).
Step-by-step explanation:
Substitute x - 7 for 'y' in the first equation. We get:
x - 3(x - 7) = 3 Doing this temporarily eliminates the variable 'y'.
Now perform the indicated multiplication, and then combine like terms:
x - 3x + 21 = 3, or
-2x = -18
so that x = 9. Substituting 9 for x in the second equation, we get:
y = 9 - 7, or y = 2.
The solution of this system is (9, 2).
Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence
Answer:
[tex]a_{n}[/tex] = 90 - 3n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
84 - 87 = 81 - 84 = - 3
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 87 and d = - 3 , then
[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Your
Please help me solve my problem!!!
True
Hope this helps! :)
______________
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Sofia earns $9 per hour mowing lawns. The total amount earned (t) equals the amouont earned per hour times the number of hours (h) . Which equation gives the total amount earned t if Lina works (h) hours ?
Answer:
9h
Step-by-step explanation:
Given data
Sofia earns $9 per hour mowing lawns
Let the total amount earned be t
and let the time worked be h
Hence
t= 9*h
t= 9h
The expression is 9h