Answer:
for 12% it would be $3,000
And, for 6% it would be $2,000
Step-by-step explanation:
The computation of the amount invested at each rate is shown below:
Let us assume the amount invested at 12% be x
So, the $5,000 - x be invested at 6%
The total interest earned is $480
So the equation would be
0.12x + 0.06($5,000 - x) = $480
0.12x + $300 - 0.06x = $480
0.06x = $80
x = $3,000
So for 12% it would be $3,000
And, for 6% it would be $2,000
Ben earns a salary of $120 a week plus $25 for each table he sells at
the furniture store. He wants to earn at least $320 this week.
Please answerr
Answer:
add 25 each time and count how many times you add it on
Step-by-step explanation:
and that will be your answer
what does 7 = 4 – 3x
Answer:
Can I be marked brainliest?
x = -1
Step-by-step explanation:
Switch it around
4 - 3x = 7
-3x + 4 = 7
Subtract 4 from both sides of the equation
-3x + 4-4 = 7-4
Simplify
-3x = 3
Divide both sides of the equation by the same term
-3x/-3 = 3/-3
x = -1
Answer:
-1
Step-by-step explanation:
7=4-3x Add like terms
-4 -4
3=-3x Now divide
/3 /3
x=-1
28+c=36 what is the value of c
Answer:
to find the value of c, isolate it.
28 + c = 36
c = 36 - 28
c = 8
now, to check:
28 + 8 = 36 ✓
Pls help I have no idea
Answer:
Step-by-step explanation:
If you connect the chord ends to the center you will see that you form a right triangle where:
[tex]r^2=16^2+\left(\frac{9x-15}{2}\right)^2\ and\ r^2=16^2+\left(\frac{7x+5}{2}\right)^2\\ \\
\text{From these equations we can see}\\ \\ (9x-15)^2=(7x+5)^2\\ \\ 9x-15=7x+5\\ \\ 2x=20\\ \\ x=10[/tex]
50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 620 students in the school how many students would you expect in the entire school to prefer Coke?
Answer:
around 470 students would prefer coke
Step-by-step explanation:
50 - 12 = 38
38 / 50 = 76%
620 (0.76) = 471.2
Can someone help solve it
Answer:
C
Step-by-step explanation:
The answer is C (the third one)
Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $14 per hour at her job, and Jack is paid $10 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $850 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?
By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation , we find that y=20 hours, which is Jack's maximum working hours.
A boat travels due north for 20km and then turns and travels due east for 7km. How far away is the boat from where it started?
Answer:
21
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
(20)^2 + (7)^2 = [tex]c^{2}[/tex]
400 + 49 = [tex]c^{2}[/tex]
c= [tex]\sqrt{449}[/tex] = 21.1 ~ 21
(hope its right)
Help please, 20 points! Which inequality represents the values of X that ensure triangle ABC exists?
Answer:
C.
Step-by-step explanation:
The inequality 1< x <5 represents the X values that ensure triangle ABC exists. The value of x is between 1 and 5.
How to find side of triangle ?This free triangle calculator computes the edges, angles, area, height, perimeter, median, and other values, as well as a triangle diagram.
When attempting to find the hypotenuse, we use our two known sides as a and b. It makes no difference which leg is a and which is b. Then we solve for c by squaring a and b and taking the square root of both sides.
Pythagoras theorem: If the sides of a right triangle are hypotenuse, perpendicular, and base, then the square of the hypotenuse side is equal to the sum of the squares of the base and perpendicular.
If leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)If leg b is unknown, then. b = √(c² - a²)For hypotenuse c missing, the formula is. c = √(a² + b²)For given triangle,
AB + BC = AC
2x + 4 + 6x > 18
8x > 18 - 4
4x >7
AC + AB > BC
18 + 2x + 4 >6x
22 > 6x-2x
22 > 4x
22 > 4x >7
Inequality which ensure triangle exists is 22 > 4x > 7.
To learn more about side of triangle refer :
https://brainly.com/question/24279384
#SPJ2
Describe all numbers x that are at a distance of 4 from the number 9. Express this using absolute value notation.
Answer:
|x - 9| = 4
Step-by-step explanation:
All numbers x that are at a distance of 4 fro the number 9
Given two numbers a and B, the absolute distance between them is written as :
|a - b| = c
Hence all numbers x at distance of x from 9
|x - 9| = 4
{x : |x - 9| = 4}
a cinema has three screens last saturday there were 500 visitors
Answer:
200 visitors went to screen 1.
125 visitors went to screen 2.
175 visitors went to screen 3.
Step-by-step explanation:
We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.
Therefore, 200 visitors went to screen 1.
Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.
Therefore, 125 visitors went to screen 2.
Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.
Therefore, 175 visitors went to screen 3.
Step-by-step explanation:
Triangle QRS has the angle measures shown.
What is the measure of the obtuse angle?
m2Q=(1x)
mZR= (3x)
m25 = (6x)
O 18
54
108
© 216
Answer:
108 degrees
Step-by-step explanation:
Given the following angle measures in triangle QRS
m<Q = 1x
m<R = 3x
m<S = 6x
Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees
The sum of angle in a triangle is 180 degrees
m<Q + m<R + m<S = 180
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18
The obtuse angle is 6x
Measure of the obtuse angle = 6x
Measure of the obtuse angle = 6(18)
Measure of the obtuse angle = 108 degrees
Hence the measure of the obtuse angle is 108 degrees
write down an expression for the nth term of the following sequence
5, 11, 17, 23, ...
Answer:
[tex]a_{n}[/tex] = 6n - 1
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence
d = 11 - 5 = 17 - 11 = 23 - 17 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 6 , then
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Convert 4 years into hours.
Hint: 1 non-leap year =8760 hours and 1 leap year=8784 hours. One out of every 4 years is a leap year.
Answer: 4 years =35.064 hour
Step-by-step explanation:
8760 multiplied by 3 is 26,280
add the year hours
26,280+ 8784 = 35,064 hours
Answer:
35064
Step-by-step explanation:
A multiple-choice test with 50 questions has five possible choices for each question. There are 4 marks for each correct answer, -1 mark for each incorrect answer, and 0 marks for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered questions?
Answer: 130 marks
Step-by-step explanation:
There are 4 marks for every correct answer and there are 4 marks for each correct answer:
= 35 * 4
= 140 correct marks
There are -1 marks for every incorrect answer and there are 10 incorrect answers:
= 10 * -1
= -10 marks
Total score = 140 - 10
= 130 marks
Answer:
130 marks
Step-by-step explanation:
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. If it continues to fall at this rate, find each indicated temperature.
Answer:
-6°C
-15°C
-1.5°C
Step-by-step explanation:
The computation is shown below:
in one hour the temperature falls by 3°C i.e.
= 0 - 3
= -3°C
In two hours
= 2 × - 3°C
= -6°C
In five hours
= 5 × -3°C
= -15°C
in half an hour
= 0.5 × -3°C
= -1.5°C
Please help!!!!
Which point is on the graph of f(x) = 6*?
O A. (1,6)
O B. (6,1)
O C. (0,6)
O D. (0,0)
Answer: A: (1, 6)
Step-by-step explanation:
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-
axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
Answer:
A. A = B and B = C
Answer:
A) A=B and B=C
Step-by-step explanation:
Find the area of the circle if r=13
Answer:
530.93
Step-by-step explanation:
Answer:
a= 530.93 or the closest number to it...
Step-by-step explanation:
your welcome
1 Expand each expression
a 4(x+6)
Answer:
4x+24
Step-by-step explanation:
b. After the 10th graduation
ceremony, how many total
graduates are there? Explain how
you determined your answer.
Answer:
chccucuxudhwhhwhsvahajw 10th g - ceremony
A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has seats.
Answer:
The correct answer is 2,502 seats
Step-by-step explanation:
pls help fast its urgent
Answer: -8
Step-by-step explanation:
3 - (-8) = 3+8
3+ 8=11
Please help! Will mark brainliest
Answer:
point A
Step-by-step explanation:
good thing to do.
Answer:
point E
Step-by-step explanation:
The square root of 335 is 18.3
335÷2=167.5
167.5+167.5=335
A circle has a radius of 6x9y5cm. What is the area of the circle in square centimeters?
12πx11y7
12πx18y10
36πx11y7
36πx18y10
Answer:The answer is the second option: 36πx^18y^10
Step-by-step explanation:
To solve this exercise, you must follow the proccedure below:
1. You have that:
- The formula for calculate the area of the circle is: A=πr² ("r" is the radius of the circle).
-The problem says that the circle has a radius of 6x^9y^5 (r=6x^9y^5)
2. When you substitute r=6x^9y^5 into A=πr², you obtain:
A=πr²
A=π(6x^9y^5 cm)²
3. By applying the exponents properties, you have:
A=36πx^18y^10 cm²
Please help i will give brainliest
Answer:
-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8
Step-by-step explanation:
Answer:
-4.2
-3.5,
-2.1,
-1
-1.5
-0.5
1
3.5,
4.8
Step-by-step explanation: Please feel free to point out if I'm wrong or if I missed any (i did spaces so you could see easier, also from top to bottom is least to greatest)
willie has 4 treasure chests which have a combined weight of 240 pounds. If each chest weighs at least 20 pounds what is the heaviest possible weight of one of the chests?
A. 177
B. 180
C. 217
D. 234
Answer:
B. 180
Step-by-step explanation:
There is a condition that each chest needs to be at least 20 pounds and we can use that to our advantage. Because we want one of the boxes to be really heavy, we need the other three to be really light. Let's set the heavy box as variable y. Set each of the other three boxes equal to 20. Because the combined weight is 240, then the equation so far is 240 = (20*3)+y.
Now, we can solve for y. 240-60 = 180, so the heaviest box has to be 180 lb.
HELP FAST DUE SOON Find the area of the parallelogram
Answer:
12 u^2
Step-by-step explanation:
The person below I think got the answer right.
The formula is area= base x height or a=bxh
Answer:
12u^2
Step-by-step explanation:
In one of the boxes, it tells you the formula for finding the area of a parallelogram. Area=base x height or A = b x h. The base is 6 units and the height is 2 units.
A = b x h
12 = 6 x 2
help me with this please
Answer:
44 cm²
Step-by-step explanation:
Ar(big rect.) = (4+4)×(4+3)
= 8×7
= 56
Ar. of small rect. = 4×3 = 12
Area of X = 56-12
= 44 cm²
Find x
4x^2-4=3x^2-3x
4
2
−
4
−
(
3
2
−
3
)
=
Answer:
Step-by-step explanation: