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Darina [25.2K]
3 years ago
9

At 6 am alicia pours a cup of tea whose temperature is 200 F. the tea starts to cool to room temperature (72 F). An exponential

model for the temperature of the tea is y=128(0.988)^x +72. where y is the temperature and x minutes after 6:00 am alicia will drink the tea when its temperature is 115 F. When can alicia drink the tea?
PLEASE HELP
Mathematics
1 answer:
Mariana [72]3 years ago
5 0

Answer:

7:30 AM

Step-by-step explanation:

y = 128(0.988)ˣ + 72

115 = 128(0.988)ˣ + 72

43 = 128(0.988)ˣ

0.336 = 0.988ˣ

log 0.336 = x log 0.988

x = 90.4

Rounded to the nearest minute, Alicia will drink the tea 90 minutes after 6:00 AM, or 7:30 AM.

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Step-by-step explanation:

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3 years ago
What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
motikmotik

The amount will be equal to $1348.07. The correct option is A.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

\rm A = P(1+\dfrac{r}{n})^{nt}

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

\rm A = P(1+\dfrac{r}{n})^{nt}

\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

To know more about Compound interest follow

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Answer:

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Step-by-step explanation:

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Help me with this math question please I'm giving away brainliests ​
alex41 [277]

Answer:

Step-by-step explanation:

Given function is,

f(x)=\frac{2x^2+6x}{-4x^2+8x}

       =\frac{2x(x+3)}{-4x(x-2)}

This function is not defined at "x(x - 2) = 0"

Therefore, for the values of x = 0 and 2, given function is not defined.

Vertical asymptote → x = 2 [Denominator = 0]

For Horizontal asymptote → [\frac{2x^2}{-4x^2} =-\frac{1}{2}]

Therefore, horizontal asymptote → y = -\frac{1}{2}

x-intercept,

For f(x) = 0,

Numerator of the function = 0

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x = -3

Therefore, x - intercept → (-3, 0)

For y-intercept,

x = 0

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Therefore, graph has no y-intercept.

For holes on the graph,

Since, function is not defined at x = 0,

f(x) = \frac{(x+3)}{-2(x-2)}

f(0) = \frac{(0+3)}{-2(0-2)}

     = \frac{3}{4}

Therefore, hole on the graph → (0, \frac{3}{4})

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3 years ago
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