Answer:
Step-by-step explanation:
The standard form of an equation of a circle is (x - h)² + (y - k)² = r² , where (h, k) are coordinates of a center and "r" is radius.
(x - 2)² + (y + 2)² = 4
A $1200 investment is made. How much should be invested at 15% and how much at 8% so that the total return on the entire investment is 9.5%?
Answer:
The amount invested at 15% = $257.14
The amount invested at 8% = $942.86
Step-by-step explanation:
Let the amount invested at:
15% = a
8% = b
Total invesment = $1200
Hence:
a + b= $1200....... Equation 1
a = 1200 - b
15% × a + 8% × b = 9.5% × 1200
0.15a + 0.08b = 0.095 × 1200
0.15a + 0.08b = 114..... Equation 2
We substitute 1200 - b for a in Equation 2
0.15(1200 - b) + 0.08b = 114
180 - 0.15b + 0.08b = 114
- 0.15b + 0.08b = 114 - 180
- 0.07b = - 66
b = -66/-0.07
b = $942.85714286
Approximately = $942.86
Note that:a = 1200 - b
a = $1200 - $942.86
a = $257.14
10z^2 -2z-2 10z 2 −2z−2
z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i
z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i
Step-by-step explanation:
A box contains orange balls and green balls. The number of green balls is six more than four times the number of orange balls. If there are 86 balls altogether, then how many green balls and how many orange balls are there in the box?
What is the percent of increase from 400,000 to 400,000?
Round your answer to the nearest tenth of a percent and include a percent sign (%).
Answer:
They are the same number, so there is a 0% increase.
Caroline’s cell phone plan costs $32 per month. Which table shows the sum of the amounts that Caroline will pay for her cell phone plan over the next 4 months?
Answer:
The first month is $32
The second month is $64
The third month is $96
The fourth month is $128
Step-by-step explanation:
32 plus 32 is 64 and 32 plus 64 is 96 so on
Please I need help badly I also have stuff on my account
What is 79% of 55????
Answer:
43.45%
Step-by-step explanation:
What inequality is represented by this graph?
Which expression is equivalent to cos(40°)cos(10") + sin(40°)sin(10º)?
O sin(40° – 10°)
O cos(40° + 10º)
O sin(40° + 10º)
O cos(40° – 10º)
Answer:
The equivalent expression is cos(40° – 10º) ⇒ D
Step-by-step explanation:
The rule of cosine the compound angles is
cos (A + B) = cos A cos B - sin A sin B
cos (A - B) = cos A cos B + sin A sin B
Let us use these rules to solve the question
∵ cos(40°)cos(10°) + sin(40°)sin(10º)
∵ The middle sign is plus
∴ We will use the 2nd rule above
→ Compare the rule by the given expression to find the value of A and B
∵ A = 40° and B = 10°
∴ cos (A - B) = cos (40° - 10°)
∴ cos (40° - 10°) = cos(40°)cos(10°) + sin(40°)sin(10º)
∴ The equivalent expression is cos(40° – 10º)
I need help please!:D
Answer:
1 & 2
Step-by-step explanation:
Ariana Grande received $5,000 to perform and made $100 per ticket. If she made $18,500, how many tickets did she sell? (use an equation to solve)
Answer:
135 tickets
Step-by-step explanation:
18500=5000+100x
13500=100x x=135
Which sequences of transformations applied to shape I prove that shape I is similar to shape II? a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2 a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2 a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2 a reflection across the y-axis, and then a dilation by a scale factor of 2 a reflection across the x-axis, and then a dilation by a scale factor of 2
Answer:
The answer is b and c
Step-by-step explanation:
Im on edmentum so i can see this picture
Diana y Juan están considerando abrir una cafetería. Semanalmente ellos gastarian
$1.348 en costos fijos de utilidades y mantenimiento. Cada almuerzo tiene un costo
de producción de $3.50. por lo que piensan vender cada almuerzo en $8.
a. ¿Cuántos almuerzos deben elaborar semanalmente si desean obtener una
ganancia de $775 para cada uno?
Answer:
Unidades a vender= 644 unidades
Step-by-step explanation:
Dada la siguiente información:
Costos fijos= $1.348
Costo unitario= $3,5
Precio de venta= $8
Ganancia deseada= 775*2= $1.550
Para calcular el número de unidades a vender, debemos usar la siguiente formula:
Unidades a vender= (costo fijo + ganancia deseada) / contribución marginal unitara
Unidades a vender= (1348 + 1550) / 4,5
Unidades a vender= 644 unidades
if 8 sugar cost 260 how much sugar can be brought for 877.500
Answer: 27 kg of sugar can be bought for Rs. 877.50.
Step-by-step explanation:
Answer:
you could buy 28518.75 sugar for 877.500
Step-by-step explanation:
260 / 8 = 32.5
this gives you how much it cost per 1 (units)
32.5 * 877.50 = 28518.75
Solve the system by the elimination method. Check your work.
x-3y=0
3y-6=2x
(-2,-6)
(-6,-1/2)
(-6,-2)
Answer:
C, (-6,-2)
Step-by-step explanation:
x - 3y = 0 --(1)
3y - 6 = 2x --(2)
We can rearrange equations 1 and 2:
3y - x = 0 --(3)
3y - 2x = 6 --(4)
Subtract 4 from 3:
(3y-3y) + (-2x+x) = (6-0)
-x = 6
x = -6
Substitute x=-2 into any equation. In this case, I substituted it into equation 1 but the value of y would be the same if you substituted it into a different equations:
x - 3y = 0
-6 = 3y
y = -2
Let's check to see if we are right but substituting the values of x and y into both equations
x - 3y = 0
-6 + (-3*-2) = 0
-6 + 6 = 0
0 = 0 Correct
3y - 6 = 2x
3(-2) - 6 = 2(-6)
-6 - 6 = -12
-12 = -12 Correct
Our answer is correct!
Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62000, with
annual raises of $2,000. How many years will it take for Lenny and Karl to make the
same salary?
Step-by-step explanation:
let no of years be x.
55000 + 2500x = 62000 + 2000x
500x = 7000
x = 14
therefore, 14 years.
Topic: algebraic eqns
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
How many sixths make a third?
help me out
Enter an equation in point-slope form for the line. (6,8) and (7,1) is on the line. The equation of the line in point slope form is:
Answer:
[tex] y - 8 = -7(x - 6) [/tex] or [tex] y - 1 = -7(x - 7) [/tex]
Step-by-step explanation:
The point-slope form equation is [tex] y - b = m(x - a) [/tex], where,
(a, b) = a point on the line.
[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Given the two points, (6, 8) and (7, 1), find the slope of the line:
[tex] m = \frac{1 - 8}{7 - 6} [/tex]
[tex] m = \frac{-7}{1} [/tex]
[tex] m = -7 [/tex]
There are two possible point-slope equation we can come up with using each points on the line given.
Using the point (6, 8) and m = -7,
Substitute m = -7, a = 6, and b = 8 into [tex] y - b = m(x - a) [/tex]
[tex] y - 8 = -7(x - 6) [/tex]
Using the point (7, 1) and m = -7,
Substitute m = -7, a = 7, and b = 1 into [tex] y - b = m(x - a) [/tex]
[tex] y - 1 = -7(x - 7) [/tex]
Just answer it plzzzzz
Answer:
i would say answer A
Step-by-step explanation:
what is 4.5 x 10 in standard notation
Answer:
45
Step-by-step explanation:
Plz help me I am timed!!
10/9 = 5/3x. X= ?
A tin contains 18.5 litre of oil. How much such tin contain 129.5 litre of oil?
Lara went to the nursery and spent $140 she purchased 4 plants each of the plant costs the same price what is the cost of 1 plants ?
Answer:
$35 per plant
Step-by-step explanation:
You take the 140 and divide that by 4 to get your answer.
Please help (look at the picture)
During bowling practice, Marley rolled 14 strikes out of 70 attempts.
What percent of Marley’s attempts were strikes? Enter your answer in the box.
Answer:
20%
Step-by-step explanation:
to find out we make it a fraction:
14/70
then divide
14÷70=0.2
then times it by 100
= 20%
Answer:
20%
Step-by-step explanation:
[tex]\frac{14}{70}[/tex] = [tex]\frac{x}{100}[/tex]
14 x 100 = 1400
1400/ 70 = 20%
use the diagram to solve x and y
Answer:
x = 54°
y = 144°
Step-by-step explanation:
x° + 36° = 90° (complementary angles)
Subtract 36° from each side of the equation
x° = 90 - 36°
x = 54°
y° + 36° = 180° (angles on a straight line/supplementary angles)
Subtract 36° from each side
y° = 180° - 36°
y = 144°
express each relation as a table and a graph. then state the domain and range.
{(8, 5) , (-6, -9), (2, 5), (0, -8)}
Answer:
domain: {-6, 0, 2, 8}
range: {-9, -8, 5}
dont forget the braces {,}Step-by-step explanation:
what is the least common deno minator 2/5 and 3/2
Answer: 10
Step-by-step explanation: The common denominator for these two
fractions is simply the least common multiple for the two denominators.
Since our denominators of 5 and 2 have no factors in common,
our least common denominator is 5 · 2 or 10.
$9.65 per hour 40 hours and time and a half for 5 hours
Answer:
im not 100% sure what your asking but i think its you make 9.65 per hour for 40 hours then 5 more hours how much are you making?
Step-by-step explanation:
its 434.25 here is why 9.65x40=386
+5hours 9.65x5=48.25
386+48.25=434.25
Evaluate the expression when a=3 and c = -2. C-5a
Answer:
-17
Step-by-step explanation:
c - 5a
substitute c for -2
-2 - 5a
substitute a for 3
-2 - 5*a
-2 - 5*3
-2 - 15
-17