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Arisa [49]
3 years ago
8

How much will $850 amount to be in three years if it is invested at 8% interest compounded quarterly for 3 years? A. $886.47 B.

$952.43 C. $1078.01 D. $1168.15
Mathematics
1 answer:
Dimas [21]3 years ago
7 0
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\$850\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, so four times}
\end{array}\to &4\\

t=years\to &3
\end{cases}
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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

8 0
3 years ago
PLEASE HELP! I will give you the brainiest and A LOT of points! (Ch.5.3)
bearhunter [10]

Answer:

Multiplier = 1.75x (7/4).

7/8 cups butter, 4 and 3/8 ounces chocolate, 1 and 3/4 cups sugar, 7/8 teaspoons vanilla, 3 and 1/2 eggs (4 if rounded!), 1 and 5/16 cups flour.

Step-by-step explanation:

The ingredient list is for 16 brownies, but you need to make 28. This means you have to make 1.75x the amount (28/16), so all ingredient quantities need to be multiplied by 7/4 (1.75 in fraction form).

Butter: 1/2 * 7/4 = 7/8 cups

Chocolate: 5/2 * 7/4 = 4 and 3/8 ounces

Sugar: 1 * 7/4 = 1 and 3/4 cups

Vanilla: 1/2 * 7/4 = 7/8 teaspoons

Eggs: 2 * 7/4 = 3 and 1/2 eggs (if rounded, 4, as 3.5 rounds up)

Flour: 3/4 * 7/4 = 1 and 5/16 cups

3 0
3 years ago
. Find the area of the shaded<br>region of the given figures:<br>5cm<br>5cm<br>15cm<br>20cm​
Flauer [41]
5cm ahahhaa easy omg wr have
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3 years ago
When the distributive property is applied, which number completes the statement correctly?
maxonik [38]
-7, because you distribute it to both -4 and 3.2, which means you're multiplying it to both.
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What is the factored form of this polynomial?
oksian1 [2.3K]

Answer:

(x - 4)(x + 9)

Answer C is correct.

Step-by-step explanation:

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hope this helps

brainliest appreciated

good luck! have a nice day!

4 0
2 years ago
Read 2 more answers
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