some banks charge a fee on savings account that are left inactive for an extended period of time. the equation y=5000(0.98)^x represents the value, u of one account that was left inactive for a period of x years. what is the y-intercept of this equation, and what does it represent?

a. 0.98 the percent of money in the account initially?

b. 0.98, the percent of money in the account after x years

c. 5000, the account of money in the account initially

d. 5000, the amount of money in the account after x years

Answer:

-1

Step-by-step explanation:

f(0) = -5^0 = -1

Answer:

slope = -5 equation= y=-5x+100

Step-by-step explanation:

pick the x and y intercepts as your points to find the gradient that is

(20,0) and (0,100)

slope =∆y/∆x

=100/-20

= -5

take point(20,0) and (x,y) to find equation using the slope

equation becomes y= -5x+100

From the graph,

g(2) = 4 ( from the coordinate (2,4))

[ The green line represent the function g(x)]

f(2)= 0

[ The red line represent the function f(x)]

(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4

OPTION A is the correct answer

Answer:

I think its

im not sure

Step-by-step explanation:

Answer:

n+6+2n+3+90=180

3n+99=180

3n=81

n=27

33 plus 90+57=180

Answer:

the value of n is 27 degree

Step-by-step explanation:

n+6+2n+3+90=180 degree (being linear pair)

3n+9+90=180

3n=180-99

3n=81

n=81/3

n=27

A linear pair is a pair of adjacent angles formed when two lines intersect.

Step-by-step explanation:

a)

[tex] \frac{1 + \sin y}{ \cos y} + \frac{ \cos y}{1 + \sin y} = \frac{1 + 2 \sin y + \sin^{2} y + \cos ^{2} y}{ \cos y(1 + \sin y)} [/tex]

[tex] = \frac{2 + 2 \sin y}{ \cos y (1+ \sin y)} = \frac{2}{ \cos y} = 2 \sec y[/tex]

b)

[tex] \frac{ \cot x}{ \tan x + \cot x} = \frac{ \cos x}{ \sin x( \frac{ \sin x}{ \cos x} + \frac{ \cos x}{ \sin x} )} [/tex]

[tex] = \frac{ \cos x}{ \frac{ \sin^{2} }{ \cos x} + \cos x } = \frac{ \cos x}{ \frac{ \sin ^{2} x + \cos^{2} x}{ \cos x} } [/tex]

[tex] = \cos ^{2} x[/tex]

c) Note that cscx = 1/sinx so

[tex] \csc^{2} \theta \tan^{2} \theta - 1= \frac{1}{ \cos^{2} \theta } - 1[/tex]

[tex] = \frac{1 - \cos^{2} \theta }{ \cos \theta} = \frac{ \sin^{2} \theta}{ \cos ^{2} \theta } = \tan^{2} \theta[/tex]

Answer:

0-7

Step-by-step explanation:

89-0

Answer:

V = 678.24 cm^3

Step-by-step explanation:

Formula for volume of a cylinder:

the radius is half of the diameter (12/2 = 6)

[tex]V = \pi r^{2} h\\V = \pi 6^{2} 6\\\\V = 678.24[/tex] cm^3

Answer:

678.24 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V  = pi r^2 h  where r is the radius and h is the height

We know the diameter

r =d/2 =  12/2 = 6

V = 3.14 * 6^2 * 6

678.24 cm^3

Answer:  6x - 7y = 21

Step-by-step explanation:

sorry if its wrong

Answer:

The best bet would be x=40

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

because of the 56% it had to be true to be in the question at all.

Answer:

3=a(-3-(-2))^2+2

Step-by-step explanation:

Answer:

3=a(-3-(-2))^2+2

Step-by-step explanation:

Answer:

might wanna add the picture for an answer

Step-by-step explanation:

Thanks!!

Answer: 4145.43

Have a great day! ;)

Answer:

13

Step-by-step explanation:

the answer is 13

the answer is 13

the answer is 13

the answer is 13

the answer is 13

The quotient obtained by dividing 4x²+3x+2 will be 4x + 15 hence option (A) will be correct.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraint.

Given that

dividend  =  4x²+3x+2

divider = x -3

⇒ (x - 3) / 4x²+3x+2

⇒ (x - 3) / 4x²+3x+2

→ First it will goes for 4x time so 4x × (x - 3) = 4x² - 12x

Quotient = 4x

so (4x²+3x+2) - (  4x² - 12x ) = 15x + 2

(x - 3) / 4x²+3x+2

→ Second time it goes for 15 so 15 × (x - 3) = 15x -45

Quotient = 15

so  (15x + 2 ) - (  15x -45 ) = 47

Hence, 47 will be the remainder and the quotient will be (4x + 15).

For more about the equation, here:

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In the function f(x) = log2(x + 3)), the smallest average rate of change in the  function is in the interval,  (6,8)

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

Logₐaᵇ = b

Given that,

A logarithmic function,

f(x) = = log2(x + 3)

Rate of change = Change in values of function/change in x

                          =  [F(b) - F(a)]/ b-a

For the interval, (0, 2)

f(0) = Log2(0 + 3)  = Log(6)

f(2) = Log2(2 + 3)  = Log(10)

Rate of change =   Log(10) -  Log(6) /2

                          =  0.11

Similarly, for the intervals,    (4, 6),   (2, 4),   (6,8)

Hence, the smallest average rate is for the interval, (6, 8)

To know more about Logarithmic function check:

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Answer: 65 kmh

Step-by-step explanation:

70 kmh for 2 hours = 140 km.

63 kmh for 5 hours = 315 km

140 + 315 = 455/7 total hours = 65 kmh

Answer:

999999.9>repeating

Step-by-step explanation:

.1 more and it will be 7 digits and not 6 Hope this helps :D

9514 1404 393

Answer:

  444444₅ = 15624₁₀

Step-by-step explanation:

It will be 1 less than the smallest 7-digit base-5 number. That number is 5^6 = 15625, so the largest 6-digit base 5 number is 15624 in decimal. In base 5, it is 6 of the largest base-5 digits:

  444444₅ = 15624₁₀

__

The digits of the number cannot be any larger than the largest base-5 digit. The base-5 digits are 0 to 4, so the largest is 4.

Answer:

I think is 15 dollars.

Step-by-step explanation:

each pound cost 1.5 multiply it by 10

Answer:

$15

Step-by-step explanation:

4 pounds are $6

10pounds are $?

1 pound would be $1.5, because 6/4 = 3/2= 1.5

If one pound is 1.5 dollars, 10 pounds would be 10*1.5=$15

Answer:

x = 60 degree

Step-by-step explanation:

90 + 90 + 2x - 10 + 2x + 2x + 10 = 540 degree (sum of 5 interior angles)

180 + 6x = 540

6x = 540 - 180

x = 360/6

x = 60 degree

the answer is 8 apples were rotten

Answer:

8 apples are rotten.

Step-by-step explanation:

2*12=24 . There are 12 apples in a dozen.

24/3=8

Answer:

C) 10.63 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(-6-2)^2+(4-(-3))^2}[/tex]

Simplify:

[tex]d=\sqrt{(-8)^2+(7)^2}[/tex]

Evaluate:

[tex]d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}[/tex]

Our answer is C.

Answer:

a ) Upper bound of CI  is 7803483.87

b) The new upper bound is  8039767.74

Step-by-step explanation:

From sample data:

sample size    n  =  60

sample mean  x = 7500000

Sample standard deviation   s  =  1200000

a) Confidence Interval 95 %  then  significance level  α = 5 % o  α = 0.05

α/2 = 0.025     z(c) from z-table is  z(c) = 1.96

CI  95 % =  (   x  ±  z(c) * s/√n

CI  95 % =  (  7500000  ±  1.96 * 1200000/√60

CI  95 % =  (  7500000  ±  303483.87 )

CI  95 % =  ( 7196516.13  ;  7803483.87)

Then upper bound of CI  is 7803483.87

b) The company has to decrease the significance level equivalent to widen the confidence interval.

If CI now is   99.95 %    significance level is α = 0.0005 and

α/2 = 0.00025     z(c) for that α/2    is from z-table  z(c) ≈ 3.486

CI 99.95 %  = ( x ±  z(c)*s/√n

CI 99.95 %  =  7500000 ±  3.486*1200000/ √60

CI 99.95 %  =  (7500000 ±539767.74)

CI 99.95 %  = ( 6960232.26 ; 8039767.74)

The new upper bound is  8039767.74

Answer:

( x-3) (x-8)

Step-by-step explanation:

the zeros of a quadratic are the roots of the equation so you could factor as (x-root 1)(x-root2) = ( x-3) (x-8)

(x-3) and (x-8) are the factors

9514 1404 393

Answer:

  625

Step-by-step explanation:

The ordered pair is an (x, y) pair. You are given the value of x. Put it in the equation and do the arithmetic.

  y = 5^4 = 625

The ordered pair is (4, 625). The missing value is 625.

_____

Additional comment

The exponentiation function on many calculators is done using a key labeled ...

  [tex]\boxed{y^x}[/tex]

You can do it the long way by recognizing that 5^4 = 5·5·5·5 or 25·25.

Answer:

do 24 divide 3

then 24-4

have maria debate if she wants large quantities of hot dogs or cokes

Step-by-step explanation:

the answer is in the above image

use the app

WOLFRAM ALPHA it helps a lot

Answer:

[tex] \frac{1}{ 2^{1} } + \frac{1}{ {3}^{2} } + \frac{1}{ {4}^{3} } + \frac{1}{ {5}^{4} } + ... \\ \frac{1}{2} + \frac{1}{9} + \frac{1}{64} + \frac{1}{625} + ... \\ = \frac{226201}{360000} \\ = 0.6283..[/tex]

Answer:

4.

Step-by-step explanation:

The orientation of the shape is the same  4 times during 360 degree turn.

Answer:

4

Step-by-step explanation:

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

9514 1404 393

Answer:

Step-by-step explanation:

The rhombus has several relevant properties.

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

  10z -8 = 5z +32

  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8