Answer:
$2,500
Step-by-step explanation:
The amount the business pay in interest can be calculated using the sinple interest formula as shown:
Simple Interest = Principal × Rate × Time/100
Given Principal = $100,000 (Loan)
Rate = 10%
Time (in years) = 3months = 3/12 years
Substituting the parameters into the formula we will have;
SI = 100,000×10×3/12×100
SI = 1000×30/12
SI = 30,000/12
SI = $2,500
Therefore the business pays an interest of $2,500
D is between C and E, CD = x 2 , CE = 32-2x, and DE = 12x. Find CD, DE, and CE.
Answer:
CD = 4DE = 24CE = 28Step-by-step explanation:
The segment addition theorem tells you ...
CD +DE = CE
x^2 +12x = 32 -2x
Subtract the right side to put this in standard form.
x^2 +14x -32 = 0
(x +16)(x -2) = 0
x = -16 or 2
In order for DE to have a positive length, we must have x > 0. So ...
CD = x^2 = 2^2 = 4
DE = 12x = 12(2) = 24
CE = 32 -2x = 32 -2(2) = 28
Is the following statement true or false? Explain your reasoning. 3 + 2 = 6 or 9 – 2 = 7
Answer:
true : 9-2=7 false:3+2=6
Step-by-step explanation:
the first equation is false because if you take 6 and minus 3 you get three not two, But with the other equation its diffrent you take 7 and add it to two you get nine.
round 799to the nearest ten
Answer:
800
Step-by-step explanation:
the tenth is the second 9 and the 9 before it makes it round up
Thus, the second 9 rounds up also
Therefore, it changes the 7 to a 8 and the 9s are now 0s
hope it helps :)
Solve the inequality and graph its solution on a number line a - 3 > -7
Answer:
B
Step-by-step explanation:
a-3>-7
collect like terms
a>-3-7
a>-10
Classify the equation, 7x + 2 = 7x - 3, as having one solution, no solution, or infinitely many solutions.
The equation has
Answer:
No solution
Step-by-step explanation:
To solve this, we subtract 7x from both sides to get 2=-3. Since 2 does not equal to negative 3, there is no solution.
Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 3)
Answer:
The equation of the line is,
[tex]y = - \frac{2}{5} x - 1[/tex]
Step-by-step explanation:
First, you have to write it in a form of y = mx + b :
[tex]2x + 5y = 15[/tex]
[tex]5y = 15 - 2x[/tex]
[tex]y = 3 - \frac{2}{5} x[/tex]
[tex]y = - \frac{2}{3} x + 5[/tex]
When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :
[tex]y = - \frac{ 2}{5}x + b [/tex]
[tex]let \: x = - 10,y = 3[/tex]
[tex]3 = - \frac{2}{5} ( - 10) + b[/tex]
[tex]3 = 4 + b[/tex]
[tex]3 - 4 = b[/tex]
[tex]b = - 1[/tex]
Answer:
the equation of a parallel line is : y=-2/5 x -1
Step-by-step explanation:
2x+5y=15
put the equation in the form of y=mx+b
2x+5y=15
5y=15-2x
y=15/5-2/5 x
y=-2/5 x+3
parallel lines has the same slope : m=-2/5
passes through point (-10,3) find b
y=-2/5 x +b
3=-2/5(-10)+b
3=20/5 +b
3=4+b
b=3-4
b=-1
the equation of a parallel line is : y=-2/5 x -1
Expand:
x(2x-5)
2x(3x+4)
6x(x-2y)
mathematics question in the screenshot below.
Step-by-step explanation:
1/6×100%=50/3%
3/24×100%=25/4%
3/8×100%=75/2%
=>50/3%+25/4%+75/2%+x=100%
=>100%-725/12%=x
=>x=59 and 5/12
ugh no body knows this? Suppose a square garden represented by 16x2 ft2. a. What is the length of each side? b. What is the perimeter of the garden? c. If each side was increased by 5 feet what would be the new perimeter?
Answer:
A. [tex]4x[/tex]
B. [tex]16x[/tex]
C. [tex]16x+20[/tex]
Step-by-step explanation:
A square's area will be the length of each side squared (that's why it's called squared).
Since we know the area, we can find the square root of [tex]16x^2[/tex] to find the length of each side.
We know that [tex]4^2 = 16[/tex] and [tex]x^2 = x^2[/tex], so [tex]4x\cdot 4x[/tex] should be equal to [tex]16x^2[/tex].
This means the side length is [tex]4x[/tex].
The perimeter of a square will be 4 times it's side length. We know the side length, so the perimeter is [tex]4x \cdot 4 = 16x[/tex].
If we added 5 to the length of each side, the new side length would be [tex]4x + 5[/tex]. Again, the perimeter is 4 times the side length so the perimeter would be [tex]4(4x + 5) = 16x + 20[/tex].
Hope this helped!
An angle measures 50° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
20° and 70°
Step-by-step explanation:
Complementary angles sum up to 90°.
The angle = x
Its complement = x + 50
x + x + 50 = 90
2x = 40
x° = 20°
20+50=70
Answer: 70° and 20°
Step-by-step explanation:
Complementary angles add up to 90 degrees and we now that one angles measure is 50 degrees less than the other. So we can represent it by the expression x = y -50 where x and y are the two angles. We don't the value of y so it will be just y .
Now we know that if we add them,they will equation 90 degrees so we can represent it by the equation,
y + y-50 = 90 Now solve for y
2y - 50 = 90
+50 +50
2y = 140
y = 70
Now we know one angles is 70 degrees and the other is 50 less than it so the other angle will be 70 - 50 = 20
Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
The magnitude of a vector < x, y > is calculated as
| < x, y > | = [tex]\sqrt{x^2+y^2}[/tex]
Thus
j + k = < - 2, 1 > + < - 5, 3 > = < - 2 - 5, 1 + 3 > = < - 7, 4 >
Then
| < - 7, 4 > | = [tex]\sqrt{(-7)^2+4^2}[/tex] = [tex]\sqrt{49+16}[/tex] = [tex]\sqrt{65}[/tex]
What is the value of the expression 24 + 10•8?
Answer:
[tex]\large\boxed{\text{The expression is equal to 104}}[/tex]
Step-by-step explanation:
[tex]24+10 \cdot 8 \\24+80\\104[/tex]
HELP ASAP BRAINLIEST FOR CORRECT ANSWER!
f(x) = x-7
What is the value of x when f(x) = 3? Enter the answer in the box.
h
What is the distance between (2,-1) and (2,5) rounded to the nearest 10th
Answer:
5.0Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(2-2)^2+(5+1)^2}=\sqrt{0^2+5^2}=\sqrt{25}=5[/tex]
Pls help me with the answer and explanation
Answer:
10
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (5, 2)
d = [tex]\sqrt{(5+3)^2+(2+4)^2}[/tex]
= [tex]\sqrt{8^2+6^2}[/tex]
= [tex]\sqrt{64+36}[/tex]
= [tex]\sqrt{100}[/tex] = 10
Write the equation of the line through the given point. Use slope-intercept form.
3
(-4,6); perpendicular to y = -
2x+3
Write an equation for the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation)
Answer:
2y=x+16
Step-by-step explanation:
condition for a perpendicular line to the previous line is that the gradient M1=-1/M2. looking at the question above the equation of the line given y=-2x+3 that is the first M1=-2. so to get the gradient M2 of the line perpendicular, then M2=-1/-2=1/2. so M2=1/2. so the equation of the new line is y=1/2x+C. so we can find C. since the line passes through (-4,6). when x=-4, y=6, 6=1/2(-4)+C..C=6+2=8. so the equation of the new line y=1/2x+8 we can multiply via 2. so we have 2y=x+16
the equation is 2y=x+16
Solve the proportion below 4/9 = x/54
Answer is 24
Answer:
24
Step-by-step explanation:
4/9=x/54
4/9*54=x
x=4*6
x=24
Answer:
Yep its 24
Step-by-step explanation:
Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns. Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below. Tuesday Thursday Saturday Hours worked 6 8 5 Amount paid $52.50 $70.00 $43.75 Which statement best describes the hourly rates? The two jobs pay the same hourly rate. The comparison cannot be made with the information given. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job. Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.
Answer:
Jason's camp counselor job pays a higher rate than Mia's lifeguard job.
Jason's job pays $9 a hour.
Mia's job pays $8.75 a hour.
52.50 divided by 6 equals 8.75
70.00 divided by 8 equals 8.75
43.75 divided by 5 equals 8.75
Step-by-step explanation:
Answer:
C. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Step-by-step explanation:
I took the quiz
The intersection of two lines can be a line segment. true false
Answer:
false
Step-by-step explanation:
James wrote a number in which the digit 6 represents 6 hundredths. If he wants the value of the digit 6 in his next number to be 10 times smaller, where should he place the decimal point?
Answer:
Step-by-step explanation:
He would put it in the thousandths digit.
0.06 = 6 hundredths
0.006 = 6 thousandths
helpp! subtract
8/9-1/3
Answer:
=5/9 or 0.5
Step-by-step explanation:
Answer:
0.55
Step-by-step explanation:
8/9-1/3
8*1/9*1 - 1*3/3*3
8/9 - 3/9
8-3/9
5/9
0.55
Which of the following
is equivalent to 3/7 ?
Select your answer(s) below
Answer:
there is no choices but i can tell you some
as a decimal 0.429
6/14
12/28
multiply it by two every time
Step-by-step explanation:
Given the check digit is 3, find the missing X for the master card number 5164 2X13 2705 0183
Answer:
9
Step-by-step explanation:
So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.
The temperature in Minneapolis, Minnesota, at 4 P.M. was 15°F. By midnight, the temperature had deceased by 18°. What was the temperature in Minneapolis at midnight?
Answer:
23F
Step-by-step explanation:
a waterwheel has a radius of 5 feet. the center of the wheel is 2 feet above the waterline. you notice a white mark at the top of the wheel. how many radians would the wheel have to rotate for the white mark to be 3 feet below the waterline?
a) 2pi radians
b) 3pi/2 radians
c) pi radians
d) pi/2 radians
Answer:
C. pi radians
Step-by-step explanation:
got it right on edge :)
Answer:
letter c
Step-by-step explanation:
Simplify: 6 ÷ 3 + 32 · 4 − 2
Answer:
Use PEMDAS.
Parentheses: none.
Exponents: none.
MD, from left to right
6/3 = 2
2 + 32 x 4 - 2
32 x 4 = 128
2 + 128 - 2
2 + 128 = 130
130 - 2 = 128
PLEASE MARK BRAINLIEST SO EVERYONE CAN SEE
Answer:
36
Step-by-step explanation:
PLEASE HELP WILL MARK AS BRAINLIEST
Answer:
[tex]\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}[/tex]
Step-by-step explanation:
Using Pythagorean Theorem first to find EC
[tex]\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm[/tex]
Given that:
AE = EC
AE = 12 cm
Now,
AB = AE + EB
AB = 12 + 5
AB = 17 cm
ABCD is a trapezoid / trapezium
So,
Area of Trapezium = [tex]\sf \frac{AB+DC}{2} (EC)[/tex]
Where AB = 17 , DC = 8 and EC = 12
Area of Trapezium = [tex]\sf \frac{17+8}{2} ( 12)[/tex]
Area of Trapezium = (25)(6)
Area of Trapezium = 150 cm²
Aaliyah bought 23 chicken wings for $39.10. If Aaliyah spent $32.30, how many chicken wings did she buy?
Answer:
19 chicken wings
Step-by-step explanation:
For $39.10=23 chicken wings
For $1=23/39.10 chicken wings
For $32.30=23/39.10 x 32.30= 19 chicken wings
What is the value of 3^5 times 3^3 divided by 3^4
Answer:
3^4
Step-by-step explanation:
One of the laws of exponents is that when you are multiplying exponents with the same base, then you add their powers. So,
3^5 x 3^3 = 3^8
Another law is when dividing exponents with the same base, you can subtract the powers. So,
3^8/3^4 = 3^4
Hope this helps!
Given the function f(x)=2x-4 find x if f(x)=10
Answer:
7
Step-by-step explanation:
Since f(x)=10 is equivalent to f(x)=2x-4, make these equations equivalent. Add 4 to both sides, and simplify to get 2x=14. Divide both sides by 2 to get 7 as your answer.
Answer:
x = 7
Step-by-step explanation:
Given
f(x) = 2x - 4 and f(x) = 10, then equating gives
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7