A person invests 1000 dollars in a bank. The bank pays 6.75% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 2500 dollars?

Answer:

Step-by-step explanation:

The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.

The first term of an arithmetic progression can be calculated using the following expression:

Sn = n/2 [2a + (n − 1)d]

Where;

100 = 2 [2a + (4 - 1)4]

100 = 4a + 24

4a = 100 - 24

a = 76/4

a = 19

Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.

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Answer:

xy = - 8

Step-by-step explanation:

note that

(x - y)² = x² + y² - 2xy , that is

6² = 20 - 2xy

36 = 20 - 2xy ( subtract 20 from both sides )

16 = - 2xy ( divide both sides by - 2 )

- 8 = xy

[tex](x-y)^2=x^2-2xy+y^2[/tex]

Therefore

[tex]6^2=20-2xy\\36=20-2xy\\2xy=-16\\xy=-8[/tex]

Answer:

1/2  /   50% chance

Step-by-step explanation:

There are 10 yellow out of 20 (6 + 4 + 10 = 20) balls.

So, the probability is 10 / 20

Or, 1 / 2 (which is the same thing as 50% chance)

(chance = probability)

Answer:

(3,0)

Step-by-step explanation:

The degree of a polynomial is the highest exponent of the algebraic expression.

[tex]6 {x}^{2} \: + \: {x}^{ \boxed{ \bold{9}}} \: + \: 5 {x}^{7} \: + \: 20 {x}^{6} [/tex]

Answer:

x = 1

y = -3

Step-by-step explanation:

cos(pi) = -1

so many ways :

sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)

= sqrt(0.5/2 × 18/18) = sqrt(9/36)

= sqrt(1/4) = 1/2

"nicest" approach (all integers) :

3x² = sqrt(9)

3x² = 3

x² = 3/3 = 1

x = 1

2y = sqrt(36)

2y = 6

y = 6/2 = 3

one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.

so, y = -3

-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2

-1 × 3/-6 = 1/2

3/6 = 1/2

1/2 = 1/2

correct

Answer:

x=9

y=4

z=4

Step-by-step explanation:

9x-13=7x+5

9x-7x=5+13

2x=18

x=18/2=9

3y=12

y=12/3=4

11z-41=5z-17

11z-5z=-17+41

6z=24

z=24/6=4

Answer:

36

Step-by-step explanation:

If x = 2 and y = -3...

xy^2=

(2)(-3)^2 =

-6^2 =

36

XY times 2=

(-6)(2) =

-12

Answer:

18

Step-by-step explanation:

First you must fill input the values into their variable counterparts:

xy^2 turns into: 2 * -3 ^2

Since there isn't a parenthesis around x AND y, the exponent only applies to the y value.

-3 ^2 = 9, so 2 x 9 = 18

xy^2 = 18 if x =2 and y = -3

Answer:

6+8x

Step-by-step explanation:

The complete question is

"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?

Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"

The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

The triangle QST is isosceles with QT ≅ ST.

The ∠STR and ∠RTQ are congruent.

Now, consider two triangles ∠QTR and ∠STR

In the following triangle

TR  ≅  TR

QTR ≅ STR

QT ≅ ST

Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,

1. QR ≅ SR

2. QRT ≅ SRT

Since the above two angles are congruent so, they will have the same measure

That will be 90 degree.

Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT

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1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99. = 500

Answer:

500

Step-by-step explanation:

rearrange the sum as

(99 + 1) + (98 + 2) + (97 + 3) + (96 + 4) + (95 + 5)

= 100 + 100 + 100 + 1000 + 100

= 5 × 100

= 500

The area of a circle is defined as [tex]\pi(r^{2})[/tex], where r = 4.3 here. 4.3^2 ≅ 18.49, so the area of the full circle is 18.49π.
The shaded section covers 12 degrees of the full 360 degrees in a circle, or 1/30th of the area. Therefore, the area of the shaded section is equal to [tex]\frac{18.49\pi}{30}[/tex], or about 1.936. In this question's context, that would be 1.936[tex]in^{2}[/tex].

Answer:

Step-by-step explanation:

_________________________________________________

initial number of sweets               |   18                   |      18

                                                       |                          |

Sue gives Tony x sweets              |   18 - x              |      18 + x

                                                       |                          |

Sue ,eats 5 of her sweets. and   |  18 - x - 5 =       |      (18 + x)/2 =

Tony ,eats half of his sweets        | 13 - x                |     9 + x/2

Answer:

22 3/4

Step-by-step explanation:

divide 1/4 which is 0.25, then add 3 to that, then multiply it by 7 which is 22.75

then convert it back into a fraction which is 22 3/4

We will use graphical way to solve these

Graph both

The solutions are

None of the above

The point at which three or more lines intersect is the point of concurrency.

The point were three lines meet or intersect is a point of concurrency.

In other words, a point of concurrency is where three or more lines intersect in one place.

This point of concurrency is a single point shared by three or more lines.

Perpendicular bisectors, and altitudes are concurrent in every triangle.

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Answer:

concurrency

Step-by-step explanation:

Look above for more

Graph is in attached image.

Answer:

C

Step-by-step explanation:

Formula for the volume of a cone :

Volume (cone) = 1/3πr²h

===========================================================

Given :

⇒ r = 4 units

⇒ h = 21 units

============================================================

Solving :

⇒ Volume (cone) = 1/3 × π × (4)² × 21

⇒ Volume (cone) = 16 × 7 × π

⇒ Volume (cone) = 112π units²

Answer:

[tex]\sf C. \quad 112 \pi \:units^2[/tex]

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substituting the given values into the formula:

[tex]\implies \sf Volume=\dfrac{1}{3} \cdot \pi \cdot 4^2 \cdot 21[/tex]

[tex]\implies \sf Volume=112 \pi \:units^2[/tex]

Answer:

3.94

Step-by-step explanation:

3.944     rounded to nearest hundredth  = 3.94    becuase the thousandth digit is <5  you do not change the hundredth

They spend about three hours a day online

Step-by-step explanation:

n + 5 = -16

n = -21

The correct option is -21

Work Shown:

x = unknown number

4x = four times the unknown number

-8+4x = sum of -8 and the previous expression

-8+4x is the same as 4x+(-8) or 4x-8

Answer:

1 solution

Key:

Assume x is the the range x > 0 ≥ 1, in other words, assume x is equal to 1.

Step-by-step explanation:

[tex]y = -x - 8x - 16\\= -x - 8x\\= 9x\\= 9x - 16[/tex]

Answer:

57 f

Step-by-step explanation:

-16t² + vt + h

-16(4 s)² + (72 f/s)(4 s) + (25 f)

-256 + 288 + 25 = 57

Answer:

6x-5

Step-by-step explanation:

We have to find 2 sides added together, so we do (24x-20)/2=12x-10. (12x-10)/2=6x-5, so it is 6x-5.

Answer:

Step-by-step explanation:

B is at (-3,-2) Multiply by 3: (-9,-6)

O is at (2,-1)  Multiply by 3: (6,-3)

T is at (-3,3) Multiply by 3: (-9,9)

Hope this helps!!