Can somebody please help me out?

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

Answer:

135 tickets

Step-by-step explanation:

18500=5000+100x

13500=100x   x=135

Answer:

43.45%

Step-by-step explanation:

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:

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)

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

Answer:

domain: {-6, 0, 2, 8}

range: {-9, -8, 5}

Step-by-step explanation:

Answer:

The answer is b and c

Step-by-step explanation:

Im on edmentum so i can see this picture

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

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!

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

Answer:

They are the same number, so there is a 0% increase.

Answer:

1 & 2

Step-by-step explanation:

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%

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

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°

Answer:

45

Step-by-step explanation:

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

Answer:

$35 per plant

Step-by-step explanation:

You take the 140 and divide that by 4 to get your answer.

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]

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!

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.

Answer:

i would say answer A

Step-by-step explanation: