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Molodets [167]
3 years ago
10

Kathy used 15 ounces of chocolate in her cookies. Cindy used 15% more chocolate in her cookies. How many ounces did Cindy use? (

PLEASE SHOW STEPS)
Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0
Cindy used 17.25 because 15 × .5 = 2.25 and if you add it to 15 ypu get 17.25
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An investment of $8,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click
Sergeeva-Olga [200]

Answer:

A.    \mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}

B.    \mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }

Step-by-step explanation:

Given that:

An investment of  Amount = $8000

earns  at an annual rate of interest = 7% = 0.07 compounded continuously

The objective is to :

A)  Find the instantaneous rate of change of the amount in the account after 2 year(s).

we all know that:

A = Pe^{rt}

where;

A = (8000) \ e ^{0.7t}

The instantaneous rate of change = \dfrac{dA}{dt}

\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )

= 8000 \dfrac{d}{dt}e^{0.07 \ t}

\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}

\dfrac{dA}{dt}= 560 e^{0.07 \ t}

At t = 2 years; the instantaneous rate of change is:

\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}

\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}

(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.

Here the amount = 12000

12000 = (8000)e^{0.07 \ t}

\dfrac{12000 }{8000}= e^{0.07 \ t}

1.5= e^{0.07 \ t}

㏑(1.5) = 0.07 t

0.405465 = 0.07 t

t = 0.405465 /0.07

t = 5.79

\dfrac{dA}{dt}= 560 e^{0.07 \ t}

At t = 5.79

\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}

\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }

7 0
3 years ago
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kirill [66]
Answer: 30 pairs of shorts

21x+420=35x
subtract 21x from both sides of the equation.
420=14x
get rid of the x by division
420/14
you get 30 =x
8 0
3 years ago
HELP PLEASE ILL MARK BRAINLIEST
gavmur [86]

Answer:

B. \frac{3+\sqrt{29} }{2}

Step-by-step explanation:

\frac{-(-3)\sqrt{(-3^2-4(1)(5)} }{(2)(1)}

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4 0
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How much was the total?

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3 years ago
An attic wall is in the shape of a trapezoid. The bases are 12 ft and 25 ft. The area is 185 square feet. What is the height? A
Drupady [299]

Answer: b = 2A - B

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2. A = 2 . 1/2 . h (B + b)

2A = h (B+b)

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2A/h = B+b

2A - B = B - +b

b = 2A - B

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