If you deposit $10,000 into an account that pays 6.5% interest compounded semiannually, how much money will you have
after 7 years?

Answer:

[tex]5.11 \times {10}^{3} \\ = 5.11 \times 1000 \\ = 5110[/tex]

Answer:

5110

Step-by-step explanation:

In order to solve this, we need to know what a "power" in math is, and then we just do the following...

[tex](5.11)(10^{3}) = (5.11)(1000) = 5110[/tex]

Answer:

6.65 kilometers

Step-by-step explanation:

950 * 7 days a week = 6650 meters

6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers

Answer:

6.65  km

Step-by-step explanation:

Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable

[tex]\frac{950}{1}=\frac{x}{7}[/tex]

Step 1: Switch sides

[tex]\frac{x}{7}=\frac{950}{1}[/tex]

Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{7}=950[/tex]

Step 3: Multiply both sides by 7

[tex]\frac{7x}{7}=950\cdot \:7[/tex]

Step 4: Simplify

[tex]x=6650[/tex]

Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers

Therefore, Janet would walk 6.65 km in an entire week

Answer:

0.2

Step-by-step explanation:

U need to count how many times it goes up and divide 0.4 by 2

Answer:

x - 3.8 = y

Step-by-step explanation:

3.8 - 3.8 = 0

4.2 - 3.8 = 0.4

5.1 - 3.8 = 1.3

7.3 - 3.8 = 3.5

Answer: 4,863.1

Step-by-step explanation:

Answer:

D. 7

Step-by-step explanation:

7/8 x 8 = 7

Answer:

Step-by-step explanation:

Each football weighs 7/8 of a pound. Let's convert 7/8 to a decimal by dividing its numerator by its denominator. ANSWER: The total weight of the football, in pounds, is 7 lb.

Answer:

X=3, y=5

Step-by-step explanation:

3x + y = 14 equation 1

y=5 equation 2

3x + 5 = 14.    substitute value of y from equation 2 into equation 1

3x=9

x-3

Answer:

44

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use Pythagorean Theorem to find leg BC.

[tex]AB^2=AC^2+BC^2[/tex]

[tex]24^2=12^2+BC^2[/tex]

[tex]576=144+BC^2[/tex]

[tex]BC^2=432[/tex]

[tex]BC=\sqrt{432}[/tex]

[tex]BC=2\sqrt{108}[/tex]

[tex]BC=4\sqrt{27}[/tex]

[tex]BC=12\sqrt{3}[/tex]

So, the measure of leg BC is 12√3.

Answer:

The best measure of center for this dot plot is the median.

Step-by-step explanation:

Answer:

6. x° is approximately 21.04°

7. x° is approximately 39.56°

8. x° is approximately 58.03°

9. x° is approximately 72.85°

Step-by-step explanation:

6. In the given right triangle (a triangle with the measure of one of the interior angles equal to 90°, indicated by the small square between two sides) , we have;

The hypotenuse side length = 15

The adjacent side to the given reference angle, x° = 14

By trigonometric ratio, we have;

[tex]cos\angle X = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]

[tex]\therefore cos(x^{\circ}) = \dfrac{14}{15}[/tex]

To find the value of x°, we make use of the inverse cosine function, arccos found on a scientific calculator, as follows;

x° = arccos(14/15) ≈ 21.04°

x° ≈ 21.04°

7. In the given right triangle, we have;

The length of the opposite side to the given reference angle, x° = 19

The length of the adjacent side to the given reference angle, x° = 23

By trigonometric ratios, we have;

[tex]Tan(\angle X) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}[/tex]

[tex]\therefore tan(x^{\circ}) = \dfrac{19}{23}[/tex]

Therefore;

x° = arctan(19/23) ≈ 39.56°

x° ≈ 39.56°

8. In the given right triangle, the adjacent side to the reference angle, x° and the hypotenuse side are given, therefore, we have;

x° = arccos(9/17) ≈ 58.03°

x° ≈ 58.03°

9. The opposite side to the reference angle and the hypotenuse side are given

By trigonometric ratio, we have;

[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

[tex]\therefore sin(x^{\circ}) = \dfrac{43}{45}[/tex]

x° = arcsin(43/45) ≈ 72.85°

x° ≈ 72.85°.

Answer:

=8x^2-10x-3

Step-by-step explanation:

Answer:

what grade yo.u in

Step-by-step explanation:

..

Answer:

(x - 3)² + (y + 2)² = 16

Step-by-step explanation:

The center is determined by what number is subtracted from the variables.

The radius is squared and set equal to the variable side.

Answer:

288

Step-by-step explanation:

Answer:

you need to show the graph in order to get an answer

Answer:

159.14 feet :)

Step-by-step explanation:

Answer: D or 75 cm

Step-by-step explanation:

Answer: d : 75 cm^3

Step-by-step explanation: i just took the test:))

Answer:

Sorry,for the answer it is too difficult brother .

Answer:

29.50 degrees to the nearest hundredth.

Step-by-step explanation:

First we can find the measure of < CGB by using the Cosine Rule:

cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)

= -0.61936

So m < CGB = 128.27 degrees.

Now we can find the measure of x by using the Sine Rule:

11 / sin 128.27 = 6.9  / sin x

sin x =  6.9 * sin 128.27 / 11

= 0.49248

x = 29.5035 degrees

Answer:

x is around 29.5

Step-by-step explanation:

Let's just use the law of cosines.

[tex]c^2 = a^2 + b^2 - 2ab\cos\angle (ab)\\\\6.9^2 = 5.3^2 + 11^2 - 2\cdot5.3\cdot11\cdot \cos x^{\circ}\\47.61 = 28.09 + 121 - 116.6\cdot\cos x^{\circ}\\~\\cos x^{\circ} = \frac{149.09 - 47.61}{116.6} = \frac{101.48}{116.6}\\~\\x^{\circ} = \arccos\frac{101.48}{116.6}\\~\\x^{\circ} \approx 29.5^\circ[/tex]

Answer:

1.2, 1.6, 2.0

Step-by-step explanation:

Pythagorean theorem

A^2 +b^2=c2

1.2^2+1.6^2=2^2

1.44 + 2.56=4

4=4

Since equation works (4=4), it is a right triangle.

Answer: C

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:7+4√3

Decimal Form:

13.92820323

Hope This Helps!

Answer:

8m-4=16

8m=20

m=2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

4(2m -1)/4 = 16/4

2m-1 = 4

2m = 5

m = 5/2 = 2.5

Answer:

10 feet

Step-by-step explanation:

pythagorean theorem

Answer:

Hypotenuse = 10.

Step-by-step explanation:

h^2 = 6^2 + 8^2

= 36 + 64

= 100

So h= 10.

Answer:

D

Step-by-step explanation:

Answer:

3.665 units

Step-by-step explanation:

it was right

Answer:

I believe its b and c

Step-by-step explanation:

Answer:

B. and D.

Step-by-step explanation:

To get the distance you must subtract Han's house from Lin's house since her house is closer. D. works as well because it is the inverse operation of B.