compound interest: if 1000$ is compounded continuously at 3% interest, how much money will you have in 5 years? (use the growth formula y=Ce exponent of kt)

Answer:

1/2

Step-by-step explanation:

I think. So sorry if wrong

Answer:

Step-by-step explanation:

In this problem, we have to find the area of an square adjacent to the third side of the right triangle.

To solve this problem, we need to use Pythagorean's Theorem, beacuse it's about a right triangle. Also, this theorem is about square areas, that's the geomtrical meaning of it.

[tex]h^{2} =32 \ u^{2} + 32 \ u^{2} = 64\ u^{2} \\h=\sqrt{64 \ u^{2} } =8u[/tex]

Therefore, the area of a square adjacent to the third side is 64 square units.

Answer:the answer is 8

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer:

32 is 40% of 80.

Step-by-step explanation:

80×4÷10=320÷10=32

Answer:

Step-by-step explanation:

Answer:

They have it on Hulu

Step-by-step explanation:

and I heard something about Naruto360.com.

Answer:

I watched it on Utube

Step-by-step explanation:

You can find the episodes free on Utube just type in the episode and you can find it in many languages

Step-by-step explanation:

Step 1:  Simplify both fractions

[tex]\frac{8}{24}[/tex] → [tex]\frac{8(1)}{8(3)}[/tex] → [tex]\frac{1}{3}[/tex]

[tex]\frac{5}{15}[/tex] → [tex]\frac{5(1)}{5(3)}[/tex] → [tex]\frac{1}{3}[/tex]

Since both of the simplified fractions are equal, that means that they form a proportion.

Answer:  Option A, YES

Answer:

[tex]\frac{10}{10}[/tex]    (10/10)

Step-by-step explanation:

to convert 1.00 into a fraction you have to write 1.00 as numerator and put 1 as the denominator.

then, you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.00 = 1.00/1 = 10/10

Answer:

the chance of getting at least 1 head is 99.8%.

Step-by-step explanation:

Since the chance to head is a %.5 chance, then thats the variable. There is 9 of those , and then mulitply that then subtract from one.

Answer:

4x+68=180

4x=180-68

4x=112

4. 4

x= 28°

question 2 has been solved that way because 5x+70°=180 because they are on a straight line and angles on a straight line are 180°

Answer:

The total area of the logo shaded orange or blue is 66 inches^2

Step-by-step explanation:

To calculate the area shaded orange or blue, we use the formula that calculates the area of a sector since we know the angle subtended at the centre of the circle by way of the colors

Mathematically, the formula to use is ;

A = θ/360 * π * r^2

where θ represents the angle subtended at the center and r is the radius of the circle.

For the sector shaded orange, the area will be

A = 50/360 * 22/7 * 6^2 = 110/7 inches^2

For the sector shaded blue, the area will be

A = 160/360 * 22/7 * 6^2 = 352/7 inches^2

The total area shaded orange or blue is thus the addition of both areas which is mathematically equal to 352/7 + 110/7 = 462/7 = 66 inches^2

Answer:

The actual right answer is 65.94 in^2

Answer:

See explanation

Step-by-step explanation:

[tex]tan \: A = \frac{2 \sqrt{a} }{a - 1} ...(given) \\ \because \: {sec}^{2} \: A = 1 + {tan}^{2}\: A \\ \therefore\: {sec}^{2} \: A = 1 + \bigg(\frac{2 \sqrt{a} }{a - 1} \bigg)^{2} \\\\ \hspace{38 pt} = 1 + \frac{4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a - 1)^{2} + 4a}{ {(a - 1)}^{2} } \\ \\\hspace{38 pt} = \frac{a^{2} - 2a + 1+ 4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{a^{2} + 2a+ 1}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a + 1)^{2}}{ {(a - 1)}^{2} } \\ \\ \therefore {sec}^{2} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg) ^{2} \\ \\ \therefore \: {sec} \: A = \pm \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\ [/tex]

In the question It is not mentioned that in which quadrant does angle A lie, so we will assume it to be in first quadrant.

[tex] \therefore \: {sec} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\

\red{ \boxed{ \bold{\therefore \: {cos} \: A = \bigg(\frac{a - 1}{ {a + 1}} \bigg)}}} \\ \\ {sin} \: A ={cos} \: A \times {tan} \: A \\ \\ \hspace{25 pt}=\bigg(\frac{a - 1}{ {a + 1}} \bigg) \times \frac{2 \sqrt{a} }{a - 1} \\ \\ \purple {\boxed { \bold{{sin} \: A = \frac{2 \sqrt{a} }{a + 1}}}}[/tex]

Answer:yes

Step-by-step explanation: 20<_x-8 = 20 <_20 which is correct

Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

Answer:

Richard gets 15 more sweets than Natasha.

Step-by-step explanation:

Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :

Let ratio be units,

[tex]5 units = 75 sweets[/tex]

[tex]1 unit = 75 \div 5[/tex]

[tex]1 unit = 15 sweets[/tex]

Now we have to find how many sweets does Natasha and Richard has :

Richard (ratio of 3),

[tex]3 units = 15 \times 3[/tex]

[tex]3 units = 45 sweets[/tex]

Natasha (ratio of 2),

[tex]2 units = 15 \times 2[/tex]

[tex]2 units = 30 sweets[/tex]

In order to find how many sweets Richard has more than Natasha, you have to substract :

[tex]45 - 30 = 15 sweets[/tex]

Answer:

15

Step-by-step explanation:

the answer is 15

Answer:

Angle BEA

Step-by-step explanation:

They share the same straight line and their degrees add to 180

Answer:

(3, 14.25)

Step-by-step explanation:

That’s where the graph intersects.

Answer:

x > 4

Step-by-step explanation:

-3x -24 < -36

Add 24 to each side

-3x -24+24 < -36+24

-3x< -12

Divide each side by -3, remembering to flip the inequality

-3x/-3 >-12/-3

x > 4

Answer:

x > 4

Step-by-step explanation:

Given equation,

→ -3x - 24 < -36

Now the value of x will be,

→ -3x - 24 < -36

→ -3x < -36 + 24

→ -3x < -12

→ x > -12/-3

→ x > 12/3

→ [ x > 4 ]

Hence, the answer is x > 4.

Answer:

5x-2

Step-by-step explanation:

Answer:

y = 5x + 2

Step-by-step explanation:

“the product of a number and five is two less than the number.” numbers unknown so call them x and y, so you have to find the product of x and 5, which is simply 5x, then you know that 5x is two less than y, so you add 2 to balance the equation, which gives you 5x + 2 = y

edit: the question refers to 2 unknown numbers so 5x - 2 is not the answer as you need an equation not an expression

Answer: Center (0, -8) and Radius = 2

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.

Answer:

Yes

Step-by-step explanation:

-20.33 is rational. It has a terminating decimal.

Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.

-20.33 = [tex]-20\frac{33}{100}[/tex]

Answer: B

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3+9=18

Answer:

Step-by-step explanation:

Insufficient dimensions are given to compute an exact volume of each geometry, so we have to assume that the volume is proportional to the product of base area and height. Then the relative volumes will be ...

  bottle X: (6 in)(2 in)(1 in) = 12 in^3

  bottle Y: (4 in)(3 in)(1.5 in) = 18 in^3

  3rd bottle: (3 in)(6 in^2) = 18 in^3

That is, the relative volumes are ...

  X : Y : 3rd = 12 : 18 : 18 = 1 : 1.5 : 1.5

The corresponding relative prices are ...

  X : Y : 3rd = 9.96 : 14.40 : 13:20 = 1 : 1.446 : 1.325

__

A. Bottle Y has 1.5 times as much lotion as Bottle X.

__

B. Bottle Y is a better buy than Bottle X. (The price relative to X is less than the volume relative to X.)

__

C. The 3rd bottle is the best buy. For the same volume, the price of the 3rd bottle is less than that of Bottle Y.

_____

Note that the relative volume and price ratios are found by dividing all the numbers in the ratio sequence by the first number:

  12 : 18 : 18 = (12/12) : (18/12) : (18/12)

  9.96 : 14.40 : 13.20 = (9.96/9.96) : (14.40/9.96) : (13.20/9.96)

Answer:

$18.12

Step-by-step explanation:

A pound of raisins=$2

A pound of Almonds=$5.06

x= no. Of pounds of raisins

y=no. Of pounds of almonds

If six pounds of a trail mix contains 2 more pounds of raisins than almonds

Then,

x+y=6

x= 4 pounds

y= 2 pounds

Cost of 6 trail mix=4($2)+2($5.06)

=$8+$10.12

=$18.12

Answer:

Step-by-step explanation:

Cylinder A

Base Circumference=3 meters

[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]

Height=5 meters.

Volume [tex]=\pi r^2 h[/tex]

[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]

Cylinder A

Base Circumference=5 meters

[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]

Height=3 meters.

Volume [tex]=\pi r^2 h[/tex]

[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]

Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]

Cylinder B has a greater volume.

Answer:

it is 8

Step-by-step explanation:

Answer:

The length is 12cm

Step-by-step explanation:

The perimeter is the sum of all the sides

To work out the length of the rectangle you would first need to multiply the width of 4 by 2, this gives you 8. This is because the perimeter of the rectangle is the sum of all the sides, and as the rectangle has two sets of identical parallel lines.

 The next step is to minus 8 from 32, this gives you 24. This is because we are isolating just the set of lengths.

The next step is to divide the value of 24 by 2, this gives you 12. This is because we had previously worked out what double the length is due to it being a set of parallel lines.

1) Multiply 4 by 2.

[tex]4*2=8cm[/tex]

2) Minus 8 from 32.

[tex]32-8=24cm[/tex]

3) Divide 24 by 2.

[tex]24/2=12cm[/tex]

Checking your answer:

To check your answer you would simply add the values of: 12, 12, 4, 4, and if this gives you 32 then the answer is correct.

1) Add 12 and 12 and 4 and 4.

[tex]12+12+4+4=32cm[/tex]

Answer:

128,000

Step-by-step explanation:

I=prt

I=80,000 x 15 x 4

I=128,000

Answer:

$128000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 80000 × 15/100 × 4

I = $48000

He saves = 48000 +80000 = $128000

Answer:

Walkway is 1.5 units²

Step-by-step explanation:

Just subtract the area of the garden from the combined area:

5.5-4=1.5

Also did you mean difference? I don't know what it means by sum.

Answer:

B

Step-by-step explanation:

there