Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)

f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t

Answer:

[tex]Q.1)\:x=20[/tex]

[tex]Q.2)c=-4.7[/tex]

Step-by-step explanation:

[tex]Q1)[/tex] [tex]7\left(x+5\right)-6x=55[/tex]

Use the distributive property to multiply 7 by x+5 :

[tex]x+35=55[/tex]

Subtract 35 from both sides:

[tex]x+35-35=55-35[/tex]

[tex]x=20[/tex]

___________________________

[tex]Q2)[/tex] [tex]c-1.5+6.8=0.6[/tex]

[tex]-1.5+6.8=5.3[/tex]

[tex]c+5.3=0.6[/tex]

Subtract 5.3 from both sides:

[tex]c+5.3-5.3=0.6-5.3[/tex]

[tex]c=-4.7[/tex]

____________________________

Step-by-step explanation:

let the 1st number be x

and,

2nd number = 2x

3rd number = 2x + 6

their sum = 66

so, after inserting the values we got

→ x + 2x + 2x + 6 = 66

→ 5x + 6 = 66

→ 5x = 66 - 6 = 60

→ x = 60/5 = 12

→ x = 12

therefore,

1st number = x = 12

2nd number = 2x = 12 × 2 = 24

3rd number = 2x + 6 = 24 + 6 = 30

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

-22 x ( -58/209) = 116/19

Step-by-step explanation:

Answer:

z≥−3

Step-by-step explanation:

1 Subtract 88 from both sides.

5z≥−7−8

2 Simplify  -7-8−7−8  to  -15−15.

5z≥−15

3 Divide both sides by 55.  

z≥− 15/5

4 Simplify 15/5 to 3

z≥−3

Answer x is less than or equal to -1

Step-by-step explanation:

-5x-9    -4

-5x-9+9    -4+9

-5x    5

-5x/-5x  5/-5

x less than or equal to -1

Answer:

x  [tex]\leq[/tex]  -1

Step-by-step explanation:

(-5x - 9) [tex]\geq[/tex]   -4

add 9 to both sides of the equation

-5x-9  [tex]\geq[/tex] -4

    +9      +9

--------------------

the -9 and +9 cancel out

-5x [tex]\geq[/tex] 5

then, divide both sides by -5 to get x

-5x  [tex]\geq[/tex]  5

------   -------

-5         -5

x  [tex]\leq[/tex]  -1

by the way, the sign changed from  [tex]\geq[/tex] to [tex]\leq[/tex] because we divided by a negative number to get x.      

Answer: the answer is 11

Step-by-step explanation:

Answer:

7/4 and 3/8.

Step-by-step explanation:

You can get this by dividing all possible answers, and if the decimal stops you have a terminating decimal.

Answer:

[tex](2x - 4)(x + 8) \\ 2x - 4(x + 8) \\ 2x - 4x + 32 \\ 2x + 32[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Let x, y, z represent the numbers of cheeseburgers, plain burgers, and chicken burgers ordered for the party.

We have three relations given. Each can be used to write an equation.

  x + y + z = 500 . . . . . . . . . a total of 500 meals were ordered

  2.50x +1.75y +3.20z = 1172.50 . . . . . the total cost

  0x +y -z = 100  . . . . . . . . . . 100 fewer chicken were ordered than plain

_____

Additional comment

We put the coefficient of x as 0 in the last equation to facilitate writing this system as an augmented matrix.

  [tex]\left[\begin{array}{ccc|c}1&1&1&500\\2.50&1.75&3.20&1172.50\\0&1&-1&100\end{array}\right][/tex]

The solution is (x, y, z) = (300, 150, 50).

Answer:

The answer is 190.5cm

Step-by-step explanation:

o solve this problem, we first need to convert marco's height to inches.

there are 12 inches in 1 foot.

multiply.

notice how ft cancel out because they are in opposite positions of the fraction.

add 72+3 to get marco's height in inches.

marco is 75inches.

with this information, we can solve for his height in cm.

write an equation.

solve.

marco is 190.5centimeters

hope this helps!

Answer:

[tex] \frac{8x \times 6.5}{2} = 780[/tex]

[tex]8x \times 6.5 = 780 \times 2 \\ 8x \times 6.5 = 1560 \\ 52x = 1560 \\ x = 15[/tex]

Answer:

See below

Step-by-step explanation:

a + 54° = 180° [Angles on a straight line]

a = 180 - 54

a = 126°

a + b = 180 [Angles on a straight line add up to 180 degrees]

126 + b = 180

b = 180 - 126

b = 54°

c° = a° [Vertically opposite angles are equal]

c° = 126°

d = 54° [Corresponding angles are equal]

e = a [Corresponding angles are equal]

e = 126°

f = b [Corresponding angles are equal]

f = 54°

g = c [Corresponding angles]

g = 126°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

ofcs it's rational number

Step-by-step explanation:

this is bcs this number '93.936' do not contain recurring decimals

Answer:

0.35

Step-by-step explanation:

Answer:

Just one

Step-by-step explanation:

Got it right on Edge 2022

Answer:

B

Step-by-step explanation:

Difference between value as the years pass, ($22,050-$19,600 = $2,450)

To find purchase price: $22, 050 + $2,450 = $24,500

Hey! The measure of the angle is 127

The angle is a total of 180 degrees.

We have to find the total of what's in between the two blue lines.

To make it easier, we can take the total of what's not in the blue lines, 53, and subtract it from 180. This gives us 127. So in between both the blue lines, measures 127. Or, you can just count up from  53 to 180 individually.

Answer:

9

Step-by-step explanation:

Answer:

x= -6

Step-by-step explanation:

so i'm thinking 1 solution.

(let me know if i'm wrong)

Answer:

infinitely many solutions.

Step-by-step explanation:

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has

Comment has been deleted

Answer:

C) 7 10

Step-by-step explanation:

Answer:

g is your answer lolllllll

Answer:

They have spent $75

16+14 = 30

30 x 2.50 = 75

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

Hello there! :)

We are given that these figures are similar.

It means that the sides are proportional. So

[tex]\frac{4}{6} =\frac{6}{x}[/tex]

Cross-multiply:

4x=36

Divide both sides by 4 to isolate x:

x=9 cm

Hope this helps!

~Just a gloomy teen who misses her best friend

[tex]GraceRosalia :-([/tex]

Answer:

It’s going to be B. 50+60+70=180 which is how many degrees are in a triangle.

Answer:

[tex] \frac{4}{1} \times \frac{4}{1} \times \frac{4}{1} \times \frac{4}{1} = \frac{256}{1} = - 256[/tex]

Step-by-step explanation:

I dont know if I'm right or not

but this is how I learned it

Expressions are used to show relationships between variables and constants

The expression is given as:

[tex]\mathbf{\frac a8 + 6b}[/tex]

In the above expression, a/8 and 6b are added.

So, the expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sum

In [tex]\mathbf{\frac a8 }[/tex], a is divided by 8.

So, the term [tex]\mathbf{\frac a8}[/tex] is a quotient

Lastly, in 6b; 6 is multiplied by b.

So, the term 6b is a product.

Read more about expressions at:

https://brainly.com/question/22151679

Answer:

B: shift vertically up by 3

Step-by-step explanation:

I suggest using desmos graphing for future questions like these

Hope this helps :)