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3 years ago

Jesse stops by the grocery store to

Mathematics

1 answer:

Aleksandr [31]3 years ago

4 0

Answer:

$3.14

Step-by-step explanation:

0.75 - 0.10= 0.65

2.49 + 0.65 = 3.14

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I need help I do not get it please help

zhenek [66]

The first fraction is 4 over 6, right? hopefully it is, i cant really see.
Basically, you can divide 4 and 6 by the same number, they have factors in common. They're both multiples of 2. if you divide them both by 2, you get 2 over 3, which is the exact same amount as 4 over 6, it's just written in a simpler way. the first answer is 2 over 3.

What numbers can both 10 and 15 be divided by? give it a try.

4 0

3 years ago

Read 2 more answers

A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

3 years ago

Please answer these questions for me I wanna enjoy being outside today.

Arlecino [84]

Answer:

1. y = 3x - 3

2. y = -2 1/2x + 10

10/-4 = -2 1/2 is the slope

3. undefined

4. y = x - 4

5. y = x - 5

6. 6x + 2y = 4 and -3y = 9x + 12

7. -3x + y = 7, y = 3x + 1, and y =3x

8. y = 2x + 5

9. y = 1/4x - 4

4 0

3 years ago

Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account pay

bezimeni [28]

Compound interest can be defined as the interest on a deposited amount, an investment that is compounded based on its principal and interest rate.

It will take about 3.239 years for the principal amount of $13,000 to double its initial value.

From the above question, we can deduce that we are to find the time "t"

The formula to find the time "t" in compound interest is given as:

t = ln(A/P) / r

where:

P = Principal = $13,000

R = Interest rate = 21.4%

A = Accumulated or final amount

From the question, the Amount "A" is said to be the double of the principla.

Hence,

A = $13,000 x 2

= $26,000

Step 1: First, convert R as a percent to r as a decimal

r = R/100

r = 21.4/100

r = 0.214 per year.

Step 2: Solve the equation for t

t = ln(A/P) / r

t = ln(26,000.00/13,000.00) / 0.214

t = 3.239 years

Therefore, it will take about 3.239 years for the principal amount of $13,000 to double its initial value.

To learn more, visit the link below:

brainly.com/question/22471957

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3 years ago

Triangle ABC is similar to triangle DEF and has a ratio of similarity of 5:2. If side AB measures 30 mm, how long is side DE

Rashid [163]

The side of DE would be 12 mm

7 0

2 years ago