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3 years ago

5. What will the final balance be for $700 invested at 3% for three years?

Mathematics

1 answer:

vampirchik [111]3 years ago

4 0

$771
The answer is below in the picture as well

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Who knows the answer?

faltersainse [42]

Answer:

Step-by-step explanation:

Line $\purple{\boxed{\bold{t}}}$ is the transversal.

3 0

3 years ago

The cost of a ticket to the circus is $19.00 for

DENIUS [597]

Answer:

The number of tickets bought is 1000 adults tickets and 700 children were present

Explanation:

Let the number of children and adults present in the circus be x and y respectively

According to question,

Then, x + y = 1700 ……………..equation (1)

And, cost of ticket to circus for children and adult be 19, 42 respectively

Total cost of ticket;

for adults = 42y; for children = 19x

19x + 42y = 55300 …………………equation (2)

Multiplying equation (1) by 19

19x + 19y = 32300 ……………… eqn (3)

Subtracting equation 1 and 3, we get

23y = 23000

y = 1000

putting this value in eq (1), we get x = 700

Therefore, 1000 adults and 700 children were present .

5 0

3 years ago

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

Find the equation of perpendicular bisector of the lines with the given word (1,2) and (5,4)

Mandarinka [93]

Answer:

y = -2x + 4

Step-by-step explanation:

Slope: (4-2)/5-1) = 2/4 = 1/2

Slope of the perpendicular line: -2

y-intercept: 2 - (-2)(1) = 4

7 0

3 years ago

2x+3y=-12 2x+t=-16 X=. Y= Help plz

8090 [49]

To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.

Answer:

x = -9

y = 2

Step-by-step explanation:

Solve the system:

2x + 3y = -12 [1]

2x + y = -16 [2]

Subtracting [1] and [2]:

3y - y = -12 + 16

2y = 4

y = 4/2 = 2

From [1]:

2x + 3(2) = -12

2x + 6 = -12

2x = -18

x = -18/2 = -9

Solution:

x = -9

y = 2

8 0

3 years ago