Answer:
40 because you multiply 4x10
Kiran ate breakfast in a café. His total check was $15.
a. What’s a 20% tip?
b. How much money did Kiran spend altogether for breakfast?
Answer:
A 20 percent tip is basically multiplying the price by 0.2
Percent means out of a hundred.
20/100 is 0.2
We have to find 0.2 of 15.
We can multiply 15 by 0.2 to find 20 percent of 15 and you would get 3.
20 percent of 15 is 3 dollars thats your answer to A
Now the total price would just be the percentage you found in A and add it to the total breakfast.
3 + 15 = 18
Kieran spend 18 dollars for brekfast.
Wyatt is paying back a loan with a nominal interest rate of 13.62%. if the interest is compounded quarterly, how much greater is wyatt’s effective interest rate than his nominal interest rate? a. 0.96 percentage points b. 0.40 percentage points c. 0.25 percentage points d. 0.71 percentage points
The amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
It is provided that:
Nominal interest rate = 13.62% compounding quarterly.
usually, interest rates are given in annual terms.
Converting 13.62 in quarterly terms, we get:
R = [tex]13.62/4 = 3.405\%[/tex] (as there are 4 quarters annually)
This rate is quarterly and is compounding quarterly.
Since these two things matched (the rate is in quarter version and so as the compounding of interest), we can take:
Unit of time = quarter of an year
Getting effective interest means interest that the principal grows by in one year.
One year = 4 quarters = 4 times unit of time.
Thus, T = 4
Thus, compound interest would be:
[tex]CI = P(1 +\dfrac{R}{100})^T - P = P( (1+3.405/100)^4 - 1) \approx P(0.1433)[/tex]
Taking its percent compared to principal amount P:
[tex]\dfrac{P(0.1433)}{P} \times 100 = 14.33\%[/tex]
Thus, the effective interest rate is 14.33%
The difference between effective and nominal interest rate is:
14.33 - 13.62 = 0.71%
Thus, the amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points
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Answer:
option D
Step-by-step explanation:
please help me with this question
Step-by-step explanation:
The river is 1000 m wide, and the boat moves at 3 m/s, so the time it takes to cross the river is:
t = (1000 m) / (3 m/s)
t = 333.3 s
The river flows at 2 m/s, so by the time he reaches the other bank, he drifts downstream a distance of:
d = (2 m/s) (333.3 s)
d = 666.7 m
Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulated snow. During the last snow storm, the snow accumulated at 4/5 inch per hour. The snow continues at this rate for 10 hours. What is the ratio of the amount of snow in inches to the amount of time in hours? *
Answer: 8 inches: 10 hours
Step-by-step explanation:
From the above question, we are informed that during the last snow storm, the snow accumulated at 4/5 inch per hour and that the snow continues at this rate for 10 hours.
The the ratio of the amount of snow in inches to the amount of time in hours first thus:
We have to calculate the amount of snow in inches first. This will be:
= 4/5 × 10
= 8 inches
Therefore, the the ratio of the amount of snow in inches to the amount of time in hours will be 8 inches for 10 hours
Which is greater 25% of 15 or 15% if 25
Answer:
their equal
Step-by-step explanation:
25% of 15 is 3.75
15% of 25 is 3.75
Solve the matrix E-F
Answer:
see attached
Step-by-step explanation:
Matrix addition, subtraction, and multiplication by a scalar are all done term by term. For example, the (1,1) term of the difference is the difference of (1,1) terms of matrices E and F.
The difference is ...
[tex]\left[\begin{array}{cc}6-(-1)&-2-5\\9-10&4-7\end{array}\right] =\boxed{\left[\begin{array}{cc}7&-7\\-1&-3\end{array}\right] }[/tex]
__
If you have trouble doing these operations in your head, a calculator or spreadsheet can help.
find the equation of the line parallel to y= 6x+7 with a y-intercept of 8
Answer:
y=6x+8
Step-by-step explanation:
Since the lines are parallel, the slopes are the same. Once you have y=6x+b, you plug in (0,8) as the y-intercept and find that b=8.
can I have help please
Step-by-step explanation:
Given: Two congruent sides, (DE and EF). Anlge. E is 36.
Let angle F be x°.
According to the base isoceles triangle theroem,
Two angles are equal if the sides they are opposite from are equal.Since Angle F is opposite from DE and Angle D is opposite from EF, and DE=EF.
Angle D = Angle F.
So using transitive property, Angle D is x°. as well.
All angles in triangles add up to 180 so
[tex]36 + x + x + = 180[/tex]
[tex]36 + 2x = 180[/tex]
[tex]2x = 144[/tex]
[tex]x = 72[/tex]
So angle F is 72°.
Since DF is opposite from 36°, the shortest angle, DF is the shortest side.
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the other train travels at 80 mph. How much time passes until the trains are 600 mph apart
Answer:
4 hours
Step-by-step explanation:
I hope this helps :)
The length of the unknown leg is
Answer:
21
Step-by-step explanation:
29 squared then 20 squared
subtract them
then get the squared root
and then you have 21
write the equation in slope intercept form. what are the slope and y intercept -5x-12y=11
Answer:
y = [tex]-\frac{5}{12} x[/tex] Slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}[/tex].
Step-by-step explanation:
-5x - 12y = 11 Add 5x to each side.
-12y = 5x + 11 Divide each side by -12.
y = [tex]-\frac{5}{12} x + (-\frac{11}{12} )[/tex] Change the + to -.
y = [tex]-\frac{5}{12} x - \frac{11}{12}[/tex]
Slope intercept form is y = mx + b, so slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}.[/tex]
The area of circle Q is 412. Circle P is 4 times bigger. What is the area of circle P? What is the perimeter of circle P?
A of circle P =
Perimeter of circle P =
Step-by-step explanation:
that is not clearly defined.
what does "bigger circle" mean ? bigger area or bigger radius or diameter ? or even bigger circumference ?
I assume we mean here that the area is 4 times bigger.
then the area of P is
A of P = 4×412 = 1648
the perimeter (= circumference) of a circle is
C = 2×pi×r
with r being the radius.
the area of a circle is
A = pi×r²
since we have the area of the circle, we have to calculate backwards to find r, so that we can calculate the circumference :
1648 = pi×r²
r² = 1648/pi
r = sqrt(1648/pi) = sqrt(16×103/pi) = 4×sqrt(103/pi) =
= 22.90359562...
the circumference of P
C = 2×pi×r = 143.9075355...
please check picture!!!!!
thank you
Line segment MN has a midpoint of (7, 3. 5). Point N is located at (14, 7). What are the coordinates for point M?
(0. 0)
(10. 5, 5. 25)
(21. 10. 5)
(26, 14)
Answer: Start with the midpoint, G(10,8), and move your pencil point 4 units to the left and 1 unit up to reach the endpoint M(6,9). To find the other end point, start with the midpoint G(10,8) again, but now move your pencil point 4 units to the right and 1 unit down. Result: N(14,7).
Check: find the mean of the 2 x-coordinates: Does (6+14)/2 = 10, the x-coordinate of the midpoint? YES. Does (9+7)/2 = 8, the y-coord. of the midpoint? YES.
The desired other end point is therefore N(14,7).
Explanation: the standard coordinate plane, what is the midpoint of a line segment that goes from the point (3, 5) to the point (7, 9)?. Possible Answers: (–2, –2). (7, 5).
Simplify this expression 4x^2y^3 x 2x^3y^4
Answer:
8 x^5 y^7
Step-by-step explanation:
Simplify the following:
4×2 x^2 y^3 x^3 y^4
Hint: | Combine products of like terms.
4 x^2 y^3×2 x^3 y^4 = 4 x^(2 + 3) y^(3 + 4)×2:
4×2 x^(2 + 3) y^(3 + 4)
Hint: | Evaluate 3 + 4.
3 + 4 = 7:
4×2 x^(2 + 3) y^7
Hint: | Evaluate 2 + 3.
2 + 3 = 5:
4×2 x^5 y^7
Hint: | Multiply 4 and 2 together.
4×2 = 8:
Answer: 8 x^5 y^7
x : y = 1 : 5
a) y=5x
b) y = x/5
c) y = x - 4
d) y = x + 4
Answer:
y=5x
Step-by-step explanation:
please mark me as brainlest
Answer:
a) y = 5x
Step-by-step explanation:
Given :-
x : y = 1 : 5
Solving :-
x/y = 1/5
y = 5x
Solution :-
a) y = 5x
A right angle is divided into two angles, creating ∠1 and ∠2. ∠1 and ∠2 are _______.
Answer:
45
Step-by-step explanation:
A right angle is ALWAYS equal to 90 degrees. If it is divided equally to two angles then both will be 45 degrees.
90/2=45.
Answer:
Complementary(word) 45(number)
Step-by-step explanation:
If any two angles were to make up a 90° angle (aka right angle), they would be complementary because complementary angles add up to a 90° angle.
90/2 = 45°
Where 2 represents the two angles that make up 90°
And 90 meaning the total of the right angle.
Which is a unit rate?
12 inches to 1 foot
3 hours to 1 hour
3 books for $10
4 cats to 3 dogs
Answer:
3 books for 10$
Step-by-step explanation:
Answer:
3 books for $10
Step-by-step explanation:
Find the measure of c°.
21°
159°
100.5°
60°
By the concepts of the transversal line we obtain the measure of angle c is 21°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
From the given diagram angle opposite to the 159° must also be 159° and it is the measure of angle b.
We know, The sum of pair of angles in a straight line is 180°.
Therefore, m∠C = 180° - 159°.
m∠C = 21°.
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I need help I know how to put it in simplest form but I don't know how to do the rest of the problem .
Answer:
343
Step-by-step explanation:
Answer:
C. 343Step-by-step explanation:
Simplifying
((9 - 2)^2)^4/(4 + 3)^5 = 7^(2*4)/7^5 =7^8/7^5 =7^(8 - 5) =7^3 =343Taylor makes necklaces and bracelets to sell at local craft fairs. If 65% of the jewelry she made today was necklaces, and she made 200 total pieces, how many necklaces did she make? How many bracelets did she make?
Answer:
d
Step-by-step explanation:
12. Quo Vadis?
Two strangers who have a private recognition signal agree to meet on a
certain Thursday at 12 noon in New York City, a town familiar to neither,
to discuss an important business deal, but later they discover that they have
not chosen a meeting place, and neither can reach the other because both
have embarked on trips. If they try nevertheless to meet, where should they
go?
Answer:
The empire state building
Step-by-step explanation:
It is the largest building there.
The highest common factor of 2x2 yz, 4xy2 z, 8xyz2
[tex]\longrightarrow[/tex]Let us write all expression in factorised form .
[tex]\sf 2x^2yz = \underline{2}\times \underline{x} \times x \times \underline{y} \times \underline{z}[/tex][tex]\sf 4xy^2z= \underline{2} \times 2 \times \underline{x} \times \underline{y} \times y \times \underline{z} [/tex][tex]\sf 8xyz^2= \underline{2} \times 2 \times 2 \times \underline{x}\times \underline{y} \times \underline{z} \times z [/tex][tex]\leadsto[/tex] Common factors are 2,x,y,z and their product will give us highest common factor
[tex]\implies \sf 2\times x\times y \times z[/tex]
[tex]\implies \sf 2xyz[/tex]
Please help me with this!!!
Answer:
Divide each number by 2 then translate them
Which expression is equivalent to 6–3? –63 36 rootindex 3 startroot 6 endroot (one-sixth) cubed
Answer:
its D
Step-by-step explanation:
The equivalent expression is (1/6)³.
What is exponents and powers?When a number is multiplied by itself a finite number of times, the number being multiplied is called the base number, and the number of times it is being multiplied is called the exponent.
Suppose a number is being multiplied by itself n number of times, then this expression is called the nth power of the given number.
An exponent is the number of times a given number is being multiplied by itself and power is the value of the product of the base number raised to an exponent.
Given:
[tex]6^{-3}[/tex]
now, applying exponents
[tex]a^{-m} = 1/ a^{m}[/tex]
Then after applying the above law we have
[tex]6^{-3}[/tex] = (1/6)³
Hence, the equivalent expression of [tex]6^{-3}[/tex] is (1/6)³.
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PLEASE HELP MEEEEEE
Answer:
2=8, 3= 12, 4= 16, and just keep on going like that just add 4 to every number.
Step-by-step explanation:
Answer:
1 = 4
2 = 8
3 = 12
4 = 16
5 =20
6 = 24
7 = 28
8 = 32
9 = 36
10 = 40
11 = 44
12 = 48
Hope this helps! Please mark Brainliest!
EiiekwkwkqHElp NOWSKKSKSKSKSKSKAKMAMQOQKWOWSKAKAK
Answer:
The answer is D or 13/36
Step-by-step explanation:
NEED HELP PLEASE ASAP
Answer: 45?
Step-by-step explanation: because a perfect corner is 90 degrees so if you split that, you will get 45!
Calculate the pay for the following day of a weekly time card given a wage of $ 12/hour.
Answer: $714
Step-by-step explanation:
Find the time distances between both of the times, one being 4 hours and one being 4 hours and 30 minutes. Now multiply 4x12 and 4.5x12. You get 48 and 54. Add these together and get 102. Now multiply 102 by the numbers of the week (7) and you get 714. With this knowledge you now know that is is $714
4√30^2 times 3√20x
(i will mark you brainliest if you answer this correctly)
Answer:
720[tex]\sqrt{5x}[/tex]
Step-by-step explanation:
First you want to simplify both of them. To do this on 4[tex]\sqrt{30^{2} }[/tex] you can just cancel out the square and the square root to get 4 x 30 which is 120. Now you simplify 3[tex]\sqrt{20x}[/tex] you do this by splitting the radical into 2 radicals. So you want to take out a perfect square which in this case is [tex]\sqrt{4}[/tex] and you have [tex]\sqrt{5x}[/tex] left over. This brings us to 120 x 3 x 2 (2 is the square root of 4) [tex]\sqrt{5x}[/tex]. Now multiply 120 x 3 x 2 and get 720[tex]\sqrt{5x}[/tex].