Answer:
If the amount is P, with the interest rate of 12%, the interest over the year is:
P*(1.12) - P = 0.12PIn this case the quarterly interest rate is:
0.12P/4 = 0.03PWith the same amount and 3% quarterly rate, the yearly interest would be:
P*(1.03)^4 - P = 0.1255PThe quarterly interest rate in this case is:
0.1255P/4 = 0.031375PIf the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.
So Kraig is wrong.
find the least square number which is exactly divisible by 8,12,15&20
Answer:
first we need to find the LCM of the given numbers i.e. 8, 12, 15 and 20
2*2*2*5*3=120
Then
as 2, 3, 5 are not in pairs, we need to multiply the LCM with 2*5*3=30
so,
least perfect square number which is divisible by each of numbers 8 12 15 and 20
=120*30=3600
Step-by-step explanation:
Hello can we be friends.....
how to do it?
let me figure it out
Answer:
Step-by-step explanation:
Use pythagorean theorem to get BC = 12cm and DC = 9cm after getting BC.
Sin(ø) = opp/hyp = 9 cm/15 cm = 3/5
Evaluate the following expression using the values given: (1 point)
Find 3x − y − 3z if x = −2, y = 1, and z = −2.
if a line crosses the negative y-axis and the negative x-axis, then its slope is
Answer:
that description would produce a negative slope..
see image
Step-by-step explanation:
En un triángulo ABC, se traza la mediana BM, si AM = 5x - 4 y MC = 3x + 6. Calcula AC.
A) 5 B) 7 C) 14 D) 21 E) 42
Answer:
A) 5
Step-by-step explanation:
Will Mark brainlest help please please pease
Answer:
6
Step-by-step explanation:
very easy.
this simply means what is the value of x, so that the result of the function is 7.
remember, the domain is the interval of valid values for x.
and the range is the interval of valid values of y (or functional results).
so,
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
so, for x = 6 the function delivers 7 as result.
FOR BRAINLIEST ANSWER THIS ASAP
Write an equation for the line. Write it in the form: Ax + By = C 14 ) Through——————— (4, - 2) and (5, 1)
Answer:
-3x + y = -14
Step-by-step explanation:
m = 3/1 = 3
1 = 15 + b
b = -14
Y = 3x - 14
-3x + y = -14
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.
Which equation can be used to determine the amount of cherry juice in each mixture?
5q + 3(8 – q) = 36
5q + 3(8 – q) = 8
q + (8 – q) = 8
q + 5 = 5q
Answer:
I think 5q+3(8-q) =36 is the answer for this question
Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.
What is the amount of cherry juice used?Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:
q + r = 8
5q + 3r = 36
The first equation can be rewritten as:
q + r = 8
r = 8 - q
Using substitution into the second formula we get:
5q + 3r = 36
5q + 3(8 - q) = 36
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Suppose the group of 15 people consists of 7 men and 8 women. How many 6 person teams contain at most 3 men?
Answer:
3850 of those 6 person teams contain at most 3 men.
Step-by-step explanation:
The order in which the people are selected is not important, which means that the combinations formula is used to solve this question.
It drove 30.08 kilometers in an hour.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
0 men:
6 women from a set of 8. So
[tex]C_{8,6} = \frac{8!}{2!6!} = 28[/tex]
1 men:
5 women from a set of 8
1 men from a set of 7. So
[tex]C_{8,5}C_{7,1} = \frac{8!}{3!5!} \times \frac{7!}{1!6!} = 392[/tex]
2 men:
4 women from a set of 8
2 men from a set of 7. So
[tex]C_{8,4}C_{7,2} = \frac{8!}{4!4!} \times \frac{7!}{2!5!} = 1470[/tex]
3 men:
3 women from a set of 8
3 men from a set of 7. So
[tex]C_{8,3}C_{7,3} = \frac{8!}{5!3!} \times \frac{7!}{3!4!} = 1960[/tex]
How many 6 person teams contain at most 3 men?
28 + 392 + 1470 + 1960 = 3850
3850 of those 6 person teams contain at most 3 men.
plzzz need help steps if possible just plzz dont ignore plzzzz
Answer:
I think it is either B or C
Sorry if it is wrong
Step-by-step explanation:
Answer:
[tex]\text{(D) }\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}[/tex]
Step-by-step explanation:
We can use the Law of Sines to solve this problem. The Law of Sines works for any triangle and states that the ratio of any angle and its opposite side is maintained throughout all angles of the triangle:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]
In the figure, the angle marked 110 degrees has an opposite side labelled [tex]x[/tex]. However, the angle opposite to the side marked 20 is still unknown, so let's find it.
The sum of the interior angles of a triangle is always 180 degrees. Therefore, let the third angle be [tex]\theta[/tex]. We have:
[tex]\theta + 110^{\circ}+30^{\circ}=180^{\circ},\\\theta+140^{\circ}=180^{\circ},\\\theta=40^{\circ}[/tex]
Now we have the relevant angle and we can set up the proportion:
[tex]\boxed{\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}}[/tex]
Cassie paid 55% of the bill. The remaining $18 was covered by her friend. What was the total bill
What type of line is PQ?
A. side bisector
B. altitude
C. median
D. angle bisector
Answer:
D
Step-by-step explanation:
Since ∠ RPQ = ∠ SPQ = 60° , then
PQ bisects ∠ RPS and is an angle bisector
PQ exists the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.
What is angle bisector?
Angle bisector in geometry directs to a line that divides an angle into two equivalent angles. A bisector represents the thing that bisects a shape or an object into two equivalent regions. If we draw a ray that bisects an angle into two equivalent parts of the exact measurement, then it exists named an angle bisector.
It is given that ray PQ is the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.
[tex]$m \angle R P Q=m \angle QP S=60^{\circ}$[/tex]
Now, [tex]&m \angle R P S=m \angle R P Q+m \angle Q P S \\[/tex]
[tex]&m \angle R P S=60^{\circ}+60^{\circ} \\[/tex]
[tex]&m \angle R P S=120^{\circ}[/tex]
Therefore, the measure of angle RPS is [tex]$60^{\circ}$[/tex].
Therefore, the correct answer is option D. angle bisector.
To learn more about angle bisector
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-80% + 50/54 (fraction) - 0.25
Answer:
-67/540
Step-by-step explanation:
I just converted - 80% to a decimal which is - 0.8 and then used a calculator for the rest.
Find x.
a. 30.9
b. 34.4
c. 17.1
d. 15.4
Answer:
x = 17.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 42 = x/23
23 cos 42 = x
17.09233 =x
Rounding to 1 decimal place
x =17.1
Please help!!!
What is the measure of
Connor wants to represent 25 divided by the difference of 12 and seven he writes the expression of ( 25÷12) -7 is Connor expression correct explain
Step-by-step explanation:
Step 1: Check to see if Connor is right
25 divided by the difference of 12 and seven
25 / (12 - 7)
Since we have a 12 and seven, that means that we have them together. However, how Connor is presenting it, it would be 25 divided by 12 subtracted 7. Therefore, Connor is incorrect.
Answer:
No he's not correct.
Step-by-step explanation: Let's take a step back and look at the question, he wants to represent the difference of 12 and 7 ÷ by 25. Therefore in order to do that we need to figure out the difference 12 and 7 so the equation would look like this 12-7=5 after doing that we divide 5 by 25 so it would look like this 25÷5=5.
So the correct equation is (12-5) ÷25
Hope this helps!
The smaller rectangle is a 1/2 scale drawing of the original figure. Use the drop-down menus to show the missing dimensions of the scaled figure.
Answer:
L1 = 18 cm
W1 = 14 cm
A1 = 252 cm²
Step-by-step explanation:
Since the small rectangle is ½ the scale drawing of the original figure, therefore the dimensions of the smaller rectangle would be half of that of the original.
Thus:
Length (L) of the original = 36 cm
Length (L1) of the smaller rectangle = ½(36) = 18 cm
Width (W) of the original = 28 cm
Length (W1) of the smaller rectangle = ½(28) = 14 cm
Area (A1) of the smaller rectangle = L1 × W1 = 18 × 14 = 252 cm²
use the figure on the Pythagorean theorem to write an equation relating H, D and x
Answer:
h² + x² = d²
Step-by-step explanation:
h and x are legs. d is the hypotenuse.
h² + x² = d²
In a class of 40 students, 30 % likes Mathematics but not English, 45 % likes English but not Mathematics and 10 % students like other subjects
Step-by-step explanation:
what's the questions??
If 2 apple and 5 bananas cost 4.20 dollars and 3 apples and 4 bananas coke 4.So dollars what is the price of a apple and banana
Answer:
An apple costs $0.45 and a banana costs $0.66.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
An apple costs x.
A banana costs y.
2 apple and 5 bananas cost 4.20 dollars
This means that:
[tex]2x + 5y = 4.2[/tex]
So
[tex]2x = 4.2 - 5y[/tex]
[tex]x = 2.1 - 2.5y[/tex]
3 apples and 4 bananas cost 4.
This means that:
[tex]3x + 4y = 4[/tex]
Since [tex]x = 2.1 - 2.5y[/tex]
[tex]3(2.1 - 2.5y) + 4y = 4[/tex]
[tex]6.3 - 7.5y + 4y = 4[/tex]
[tex]3.5y = 2.3[/tex]
[tex]y = \frac{2.3}{3.5}[/tex]
[tex]y = 0.66[/tex]
Then:
[tex]x = 2.1 - 2.5(0.66) = 0.45[/tex]
An apple costs $0.45 and a banana costs $0.66.
in an exam,154 out of 175 passed.what percentage failed.
The percentage of failed students is 12%
We have,
Total number of students = 175
Number of students passed = 154
We need to calculate the percentage of the number of failed students.
How do we calculate the percentage?The formula used to calculate the percentage is:
[tex]\frac{ required~value}{total~value} \times 100[/tex]
Here,
Total value:
= Total number of students
= 175
Required value:
= Number of students failed
= Total number of students - Number of students passed
= 175 - 154
= 21
Percentage of failed students:
= [tex]\frac{21}{175} \times 100\\[/tex]
= ( 21 x 100 ) / 175
= 2100 / 175
= 12 %
The percentage of failed students is 12%.
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A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 40 cables and apply weights to each of them until they break. The 40 cables have a mean breaking weight of 775.3 lb. The standard deviation of the breaking weight for the sample is 14.9 lb. Find the 90% confidence interval to estimate the mean breaking weight for this type cable.
Answer:
The correct answer is "771.44; 779.16".
Step-by-step explanation:
Given:
Number of samples,
[tex]n = 40[/tex]
Mean,
[tex]\bar x = 775.3[/tex]
Standard deviation,
[tex]\sigma = 14.9[/tex]
At 90% confidence interval,
[tex]\alpha = 1-0.90[/tex]
[tex]=0.10[/tex]
[tex]\frac{\alpha}{2} = 0.05[/tex]
From normal distribution at 90% confidence level,
[tex]Z_{\frac{\alpha}{2} } = 1.64[/tex]
Now,
Margin of error will be:
⇒ [tex]E=Z_{\frac{\alpha}{2} }\times \frac{\sigma}{\sqrt{n} }[/tex]
By substituting the values, we get
[tex]=1.64\times \frac{14.9}{\sqrt{40} }[/tex]
[tex]=3.86[/tex]
hence,
The mean at 90% CI will be:
= [tex]\bar X \pm \ E[/tex]
= [tex]775.3\ \pm \ 3.86[/tex]
= [tex]771.44; 779.16[/tex]
Determine whether ABC are functions:
A. (2,5) (3,7) (-1,4) (0, 6)
B.(-3, 1) (4, 2) (5,-2) (-3,-1)
C. (3,4) (-4, 6) (-1,0) (0,1)
A.
B.
C.
Answer:
A. Function
B. Not a function
C. function
Bryan has a square parcel of land that is 120 yards long and 120 yards wide. The land is planted with Bermuda grass and surrounded by a fence. So
that his cattle will not ruin the grass, Bryan decides to split the field into two halves and rotate his cattle on the land every 30 days. He plans to build a
fence diagonally across the field. How many feet of fencing will Bryan need to split the parcel of land in half? Round your answer to the nearest yard.
A sphere has a radius of 8cm.Find its volume
Answer:
[tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 8 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4 \pi}{3}(8 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4 \pi}{3}(512 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]Answer:
sphere
Step-by-step explanation:
volume of a sphere = 4/3πr³
= 4/3*22/7 * 8³
= 2145.5
Need help !!!!!!!!!!!!!
Answer:
tan0= UR/RX
tan6°=8/RX
⇒RX=8/tan6
⇒ RX=8/0.1051
⇒RX≈76.11
---------------------
Hope it helps...
tan0= UR/RX
tan6°=8/RX
RX=8/tan6RX=8/0.1051RX≈76.11Hope it is helpful to you ☺️
Does the graph have even symmetry, odd symmetry, or neither ?
Answer:
Odd symetry I think
Step-by-step explanation:
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Have a nice day.
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This is it
There are 219 people at the science camp. 112 people are enrolled in the chemistry class, and 45 people are enrolled in the physics class. How many students are enrolled in both classes if 79 students are not enrolled in either of them?
Answer:
The correct answer is - 17.
Step-by-step explanation:
Given:
total students = 219
in chemistry = 112
in physics = 45
not enrolled in either of these = 79
solution:
The number of students in both classes can be calculated by
P ( A or B) = P (A) + P (B) - P (A and B)
then putting and solving the given vaues in formula
=> (219-79) = 112+45-x
=> 140 = 157 -x
=> 17 = x
what's is 11 divided by 620
Answer:
0.017741
Step-by-step explanation:
7. La somme de deux multiples de 3 consécutifs est de 129. Quels sont ces deux nombres?
Answer:
Les deux nombres doivent avoir une différence de 3. Algébriquement, ce serait x + (x + 3) = 129. 2x est alors égal à 126. X est égal à 63 et x + 3 est à 66. Ces nombres sont des multiples consécutifs de 3 dont la somme est de 129.
Step-by-step explanation:
The two numbers must have a difference of 3. Algebraically, it would be x + (x + 3) = 129. 2x then is equal to 126. X equals 63 and x + 3 is 66. These numbers are consecutive multiples of 3 whose sum is 129.
