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OlgaM077 [116]
2 years ago
8

Show that (2,1) is a solution of the system of equations

Mathematics
1 answer:
almond37 [142]2 years ago
3 0

Answer: (2,1)

Step-by-step explanation:

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Michael invested 5,000 in an account that has a 5.5% annual interest rate. What equation best describes investment after T years
ivolga24 [154]

Answer:

V = 5000 +  275*T   for simple annual interest

or:   A = 5000 * (1.055)^T   for an annual compound interest

Step-by-step explanation:

I assume this is a simple interest rate.  If not I will give the one for compound interest.

V = 5000 + 5000* 0.055 * T      (Value of account after T years)

V = 5000 +  275*T   for simple annual interest

or:   A = 5000 * (1.055)^T   for an annual compound interest

5 0
3 years ago
The measure of angle A is 4 degrees greater than the measure of angle B. The two angles are complementary. Find the measure for
svetlana [45]
Given: 
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary

Complementary angles have a sum of 90°

Angle A = x + 4° ; Angle B = x

x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.

Angle A = x + 4° ⇒ 43° + 4 = 47°

Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°

Angle D = 5x ; Angle E = x

5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30°  Angle E.

Angle D = 5x = 5(30) = 150°
6 0
3 years ago
Read 2 more answers
Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. f(x) = −one eighth (x − 2)2 + 6 f(x) = one
vfiekz [6]

Answer:

A

Step-by-step explanation:

For any point (x, y ) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x-2)^2+(y-4)^2} = | y - 8 |

Squaring both sides gives

(x - 2)² + (y - 4)² = (y - 8)²

(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )

(x - 2)² = - 8y + 48

8y = - (x - 2)² + 48

y = - \frac{1}{8}(x - 2)² + 6 → A


3 0
3 years ago
Read 2 more answers
14-5+20÷2^2+4 wich order
Sladkaya [172]

14-5+20÷2∧2+4

exponent first: 14-5+20÷4+4

Divide: 14-5+5+4

Solve left to right: 9+5+4

add all: 14+4 = 18

8 0
3 years ago
Which function has the greatest maximum y-value?
larisa86 [58]

Answer:

g(x)

Step-by-step explanation:

y-intersect for h(x) is -11 as shown in the table, where the x value is 0

y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99

y-intersect of g(x) is 3 as shown in the drawing

as seen across the three y-intersects, the value of g(x) y-intesect is the greatest

3 0
1 year ago
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