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2 years ago

4

Deepak bought a new car at the dealership for $25,000. It is estimated that the value of the car will decrease 9% each year. Whi

ch exponential function models the value v of the car after t years?

1 answer:

Rus_ich [418]2 years ago

4 0

A decrease of 9% means that the car's value drops to 91% each year or 0.91 as a fraction.

Exponential function is v = 25,000(0.91)^t

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Lyle works at a bakery. He needs to mix 1 cup of brown sugar and 12 cup of granulated sugar to make each tray of 60 cookies. Eac

andriy [413]

Answer:

50 trays

3000 cookies

Step-by-step explanation:

We are given the following in the question:

1 cup of brown sugar and $\frac{1}{2}$ cup of granulated sugar makes a tray of 60 cookies.

Total cups of sugar used(brown and granulated) = 1.5 cups

Number of sugar cups used by Lyle each week = 75

We have to find the number of trays made each week.

$\text{Ratio} = \dfrac{\text{Cups of sugar mixture}}{\text{Number of trays}}\\\\\dfrac{1.5}{1} = \dfrac{75}{\text{Number of trays}}\\\\\Rightarrow \text{Number of trays} = \dfrac{75}{1.5} = 50$

Thus, 50 trays of cookies are made each week.

Total number of cookies made each week =

$=\text{Number of trays}\times \text{Number of cookies in 1 tray}\\=50\times 60\\=3000$

Thus, 3000 cookies are made each week.

8 0

2 years ago

Ernie earned $121.50 more than Kaylin. Tria earned $35 less than 3 times the amount Kaylin earned. Ernie, Tria, and Kaylin earne

Dvinal [7]

X - Ernie, y - Kaylin, z - Tria
x = y + 121.50
z = 3y - 35
x + y + z = 579
-------------------------
z = 3 y - 35 => - 3 y + z = -35
y + 121.50 + y + z = 579
---------------------------------
- 3 y + z = - 35 / · ( -1 )
2 y + z = 457.50 (we will use the elimination method)
---------------------------------
3 y - z = 35
2 y + z = 457.50
----------------------
5 y = 492.5, y = 492.5 : 5 = 98.5
z = 3 · 98.5 - 35
z = 260.5
Tria earned $260.5

8 0

2 years ago

Read 2 more answers

Miguel and Maria are washing the windows in their home. Together, they can complete the task in 1 hours. If Maria can wash windo

Orlov [11]

For this case, the first thing we must do is define variables.
x: amount of time Miguel uses to complete the task.
y: amount of time Maria uses to complete the task.
We write the system of equations:
x + y = 60
y = (1/2) x
Solving the system we have:
x = 40 minutes
y = 20 minutes
Answer:
it take her to wash them by herself about:
y = 20 minutes

5 0

2 years ago

Read 2 more answers

I round to 900 I have twice as many hundreds as ones and all my digits are different but their sums are 18 can someone answer th

stellarik [79]

Answer:

The number of once is 9.1

The number of hundreds is 8.9

Step-by-step explanation:

Given as :

The total of digits having ones and hundreds = 900

The sum of digits = 18

Let The number of ones digit = O

And The number of hundreds digit = H

So, According to question

H + O = 18 .........1

100 × H + 1 × O = 900 ........2

Solving the equation

( 100 × H - H ) + ( O - O ) = 900 - 18

Or, 99 H + 0 = 882

Or , 99 H = 882

∴ H = $\frac{882}{99}$

I.e H = 8.9

Put the value of H in eq 1

So, O = 18 - H

I.e O = 18 - 8.9

∴ O = 9.1

So, number of once = 9.1

number of hundreds = 8.9

Hence The number of once is 9.1 and The number of hundreds is 8.9

Answer

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2 years ago

On a piece of paper, graph y = 2x - 4. Then determine which answer matches<br> the graph you drew.

nasty-shy [4]

This is a linear graph where the y-int. Is (0,-4) and the x-int. Is (2,0)

3 0

2 years ago