Assume an exponential function has a starting value of 16 and a decay rate of 4%. Write an equation to model the situation.

Answer:

Step-by-step explanation:

The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.

The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18

Answer:

-14

Step-by-step explanation:

Hello,

Let's have a look at this figure and think about how are these two angles related to each other. These two angles are vertically opposite angles, and any two vertically opposite angles should be equal to each other.

Because the two angles should be equal to each other, we can equate the two equations together and solve for x.

9x + 184 = 7x + 156

9x - 7x = 156 - 184

2x = -28

x = -14

Answer: y = 1

y = 2x+7 x = -3

y = 2(-3) + 7

y = 1

Answer:

angle 1 = 124

angle 2 = 56

angle 3 = 124

angle 4 = 56

Step-by-step explanation:

This problem is a bit like a puzzle. To make notation easier I'm going to do this:

angle 1 = a

angle 2 = b

angle 3 = c

angle 4 = d

Now, let's start with what we know from the image.

All angles added together form a circle or 360 degrees

a + b + c + d = 360

In the same regard a + d = 180, and b + c = 180

Also,

a = c

and

b = d

It also tells us angle 4 is 25 degrees greater than one fourth of angle 1. Which is written as.

d = 1/4(a) + 25

If we look at all the equations we have, we can see that two of the equations have two of the same variables:

a + d = 180

and

d = 1/4(a) + 25

Using substitution we can take the second equation substitute it for d in the first equation giving us:

a + (1/4(a) + 25) = 180

Now we just solve for a

[tex]\frac{4}{4} a+ \frac{1}{4} a + 25 = 180\\\\\frac{5}{4}a + 25 = 180 \\\\(\frac{5}{4}a + 25) - 25 = (180) -25\\\\\frac{5}{4} a = 155\\\\\frac{5}{4} a * \frac{4}{5} = 155 * \frac{4}{5}\\\\a = 124[/tex]

Therefore a, or angle 1, is 124

Since a = c, then c, or angle 3, is also 124

Since a + d = 180 and a = 124 then

d = 180 -124

d = 56

So, d, or angle 4, is 56

And because b = d then b, or angle 2, is also 56

a = 124

b = 56

c = 124

d = 56

For extra measure, we can check our work by using the first equation

a + b + c + d = 360

124 + 56 + 124 + 56 = 360

Answer:

DTI ratio in percentage = 30.29%

Step-by-step explanation:

Annual salary = $85,063

This means that gross monthly pay = 85063/12 = $7088.58

Now,

Total monthly debt payments = 1555 + 274 + 139 + 179 = $2147

Debt to income ratio = (2147/7088.58) × 100% = 30.29%

Answer:

-0.9

Step-by-step explanation:

Answer:

x =-.9

Step-by-step explanation:

x-4.88=-5.78

Add 4.88 to each side

x-4.88+4.88=-5.78+4.88

x =-.9

Answer:

Option E

Step-by-step explanation:

The two points are (1,6) and (-3,-6) . We can find the Equation of the line using two point form , as ,

[tex]\implies y - y_1 =\dfrac{y_2-y_1}{x_2-x_1}(x - x_1) \\\\\implies y - 6 = \dfrac{-6-6}{-3-1}(x-1) \\\\\implies y-6 = \dfrac{-12}{-4}(x-1) \\\\\implies \boxed{\boxed{y -6 = 3(x-1)}} [/tex]

On looking at options we see that option E is correct .

Answer:

-4 + -6 = -10

Step-by-step explanation:

From the line at negative 4 it goes to negative 10 you need to add six to four to make ten. Though since it is negative numbers we add a negative 6

Answer: x=15

Step-by-step explanation:Step 1: Cross-multiply.

5

4

=

x

12

(5)*(12)=x*(4)

60=4x

Step 2: Flip the equation.

4x=60

Step 3: Divide both sides by 4.

4x

4

=

60

4

x=15

Answer:

x=15

[tex]\Large\boxed{\tt Answer:~A:~y=-3x+5}[/tex]

All we have to do in order to find the equation that is equivalent to 6x + 2y = 10 is to solve for y.

Step 1: Keep y on one side of the equation and move the rest to the other.

[tex]\tt 6x + 2y = 10\\2y = -6x + 10[/tex]

Step 2: Divide all terms by 2 to isolate y.

[tex]\tt 2y \div 2=y\\-6x \div 2 = -3x\\10 \div 2 =5\\\\y=-3x+5[/tex]

Answer:

2

Step-by-step explanation:

2+2 is 4 so therefore the answer is 2.00.

Answer:

1) a , b , c , e are ans....

2) a.F b.T c.F d.T

Answer:

Step-by-step explanation:

(5,3) should be your slope. Start from the bottom of the line and go up. Use the X axis slope 1st because of the x1 y1 coordinates.

Answer:

(5,-1)

(-4,0)

Step-by-step explanation:

5 is in the X axis

-1 is in the Y axis

-4 is in the Y axis

0 is in the X axis

Answer:

jamel brother has 48.00 dollors

Step-by-step explanation:

Answer: He has 32$ 24 divided by 6 is 4 multiply 4 by 8 and you get 32

Answer:

25

Step-by-step explanation:

A=1/2×b×h

A=1/2×5cm×10cm

A=25cm

Answer:

C

Step-by-step explanation:

When 3 is squared, it becomes 9. That means that both A and B are incorrect.

The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.

Answer:

C is the answer thank you

Answer:

J) x = 6; slope is undefined

Step-by-step explanation:

Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.

Answer: 504. Multiple for : 18, 24 and 42. Factorize of the above numbers : 18 = 2 • 32 24 = 23 • 3. 42 = 2 • 3 • 7

Answer:

1620!

Step-by-step explanation:

Answer:

1620

Step-by-step explanation:

Answer:

Simple Interest (I) =  Principle * Rate * Time

so I = PRT

P = $47300

R = 3% = 0.03

T = 4months = 0.33years

so

Assuming its per year after 4month

I = (47300)(0.03)(0.333333)

I = 472.999527

I = $473

Now we'd add the interest(I) to the Principle

$47300 + $473 = $47773.00

Assuming it is per month, after 4months

I = PRT

I = (47300)(0.03)(4)

I = $5676.00

Now add the interest to the principle

$47300 + $5676 = $52976.00

Step-by-step explanation:

there you go hope this help

Answer:

Step-by-step explanation:

the equation in the point slope form is

and reducing the equation (slope-intercept form)

Step-by-step explanation:

first we calculate the slope of the line with the formula:

where  is a point where the line passes, and  is another point where the line passes.

Since we have the following points:

(8, -2)

(5,5)

we conclude that

now we substitute this values to find the slope:

to find the equation now that we know the slope we use the point-slope equation:

and we subtitute the slope and the values of  and :

we reduce this equation:

the equation in the point slope form is

and reducing the equation (slope-intercept form)

Answer: 4π

Step-by-step explanation: C= 2πr; 2r=d; C=dπ; C=4π!

Answer:

4π  ft

Step-by-step explanation:

C = 2πr  (Circumference formula for a circle)

diamater = 4, so  diamter = 2 x radius,  4 = 2 x r , so r = 2

Use formula:

C = 2π(2) = 4π

4π ft (Exact answer)

Answer:

length=2.5feet

Step-by-step explanation:

Volume =Base area * height

6/60=(4*length) * 6/6

10=4length

length=10÷4

=2.5feet

The length of the pyramid is 7.5 feet.

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.'

According to the given problem,

Volume = 60 cubic feet

Height = 6 feet

Width of rectangular base = 4 feet

Let the length be x,

Volume =[tex]\frac{L * W * H}{3}[/tex]

⇒ 60 = [tex]\frac{x*6*4}{3}[/tex]

⇒ 180 = 24x

⇒ x = [tex]\frac{180}{24}[/tex]

⇒ x =[tex]\frac{45}{6}[/tex] = 7.5

Hence, we can conclude that the value of the length of the rectangular base is 7.5 feet.

Learn more about rectangular pyramid here: https://brainly.com/question/16602334

#SPJ2

Answer:

1.44m^3

Step-by-step explanation:

Given data

Number of balls= 8

Diameter of ball = 70cm = 0.7m

Radius= 35cm= 0.35m

We know that a ball has a spherical shape

The volume of a sphere is

V= 4/3πr^3

substitute

V= 4/3*3.142*0.35^3

V= 0.18m^3

Hence if 1 ball has a volume of 0.18m^3

Then 8 balls will have a volume of

=0.18*8

=1.44m^3

Answer:

28 in² = 28

Step-by-step explanation:

[tex]a = \frac{a + b}{2}h[/tex]

[tex]a = 6[/tex]

[tex]b = 8[/tex]

[tex]h = 4[/tex]

[tex]a = \frac{6 + 8}{2}4[/tex]

[tex] \frac{14}{2} 4[/tex]

[tex]7 \times 4[/tex]

[tex] = 28[/tex]

Answer = 28 _

Answer:

2

Step-by-step explanation:

Subtract the number with the term both sides ( which is 9)

[tex] {x}^{2} + {y}^{2} - 6x + 4y = - 9[/tex]

Complete the square for the x terms and y terms.

( To complete the square divide the coefficient term by 2 and square it, then add that product to both sides.)

[tex] {x}^{2} - 6x + 9 + {y}^{2} +4y + 4 = - 9 + 9 + 4[/tex]

[tex] (x - 3) {}^{2} + (y + 2) {}^{2} = 4[/tex]

Take the square root of the right side to find the radius

[tex] \sqrt{4} = 2[/tex]

Answer:

uhuhuhuhuhuhuhuhuhuhuh oh yeah

Step-by-step explanation: