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2 years ago

Find the exponential function that satisfies the given conditions: Initial value = 70, decreasing at a rate of 0.5% per week

Mathematics

2 answers:

sdas [7]2 years ago

6 0

Y = 70 e^(.005x) where x is the time in weeks

astra-53 [7]2 years ago

4 0

Answer:

f(t) = 70 ⋅ 0.995^t

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The Jackson family drove 496 miles in 8 hours. Which is the unit rate in fraction form?

vagabundo [1.1K]

You find the unit rate by dividing 496 by 8
so
$\frac{496}{8} = \frac{62}{1}$

Hope I helped

3 0

3 years ago

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Help on number 8? Helper gets points. Please show work :p.

Monica [59]

Student P:

They messed up in step 1 because they made the 7.75 positive instead of negative, which causes the entire solution to be wrong

Student Q:

They were correct up until step 3. They didn't take all the negatives out of the equation (ex. -(3.5+7.75+29.67)).

Complete set:

From the picture, it looks like the original problem was

-2.5(1.4+3.1)+6.9(-4.3)

Step 1: multiply

1.4(-2.5)+3.1(-2.5)+6.9(-4.3)

Step 2: subtract (add?) them all together

-3.5-7.75-29.67

Step 3 should equal -40.92

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2 years ago

Jackson deposited $5,000 at 3.8% interest, compounded continuously, when he was 18 years old. How much will be in the account wh

Ivahew [28]

5,000 × 3.8%= 19,000×18= 342,000 × 40 = 13,680,000

6 0

3 years ago

Find a polynomial function of degree 3 with 2, i, -i as zeros.

sergiy2304 [10]

Answer:

$p(x)= x^3-2x^2+x-2$

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if $\alpha , \ \beta \ \& \ \gamma$ are the zeros of the cubic polynomial , then ,

$\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)$

Here in place of the Greek letters , substitute 2,i and -i , we get ,

$\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)$

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

$\sf \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}$

Simplify using i = √-1 ,

$\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )$

Multiply by distribution ,

$\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)$

Simplify by opening the brackets ,

$\sf\longrightarrow p(x)= x^3+x-2x^2-2$

Rearrange ,

$\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}$

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2 years ago

HELP QUICK PLEASE<br> Determine the following values of the function.<br><br> f(-3) = <br> f(2) =

astra-53 [7]

F(-3) would be -8, because you would use the first equation. f(2) would be 4 apparently cause theres no x after the 4, or in the equation of the 4. Hope this helps. Please rate, leave a thanks, and mark a brainliest answer(not necessarily mine). Thanks, it really helps! :D

4 0

2 years ago

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