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3 years ago

Determine the amount of an investment if $1000 is invested at an interest rate of 7.3% compounded quarterly for 30 years.

1 answer:

4 0

Well, this is rather lengthy so...

First, you'd do...
1000 * 0.073 = $73.

$73 is for one quarter, so...

A quarter of a year is 1/4 of the year, so you'd need to do... $73 * 4.
= $292.

$292 is for one year.

Now do...

$292 * 30

Your Answer:
A. $8760 is invested at an interest rate of 7.3% compounded quarterly for 30 years.

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Which of these frequency counts would be represented by the smallest number of dots on a dot plot?

xeze [42]

ANSWER

a. 6

EXPLANATION

On a dot plot , we use dots to represent frequencies.

The frequency 6, is represented by 6 dots.

The frequency 7, is represented by 7 dots.

The frequency 9, is represented by 9 dots.

The frequency 8, is represented by 8 dots.

The smallest number of dots is represented by 6.

5 0

4 years ago

Read 2 more answers

What does this mean 7 4 8 9 12 45

ohaa [14]

Answer:

The mean is 14.167

Step-by-step explanation:

In order to find the mean, you must add all of the numbers together and then divide by the number of inputs.

(7 + 4 + 8 + 9 + 12 + 45)/6

85/6

14.167

8 0

3 years ago

A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the

Vedmedyk [2.9K]

(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get $\dfrac{dT}{T - 75} = k dt$ . Integrate both sides to get $\ln|T - 75| = kt + C$ .

Since $T(0) = 185$ , we solve for C:
$|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110$
So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
$\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)$

So

$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t} \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}$

But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30} \\
100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22) \approx 116\ \mathrm{min}$

Dogs of the AMS.

4 0

3 years ago

PLLLEASEEE HELLPPP I WILL GIVE BRAINLIEST!!!!

vesna_86 [32]

Answer:

Step-by-step explanation:

to make it quick

2*110 = arc FI

220° = arc FI

arc LI = 97°

arc FL = x

360 = 220 + 97 + x

43 = X

arc FL = 43°

4 0

3 years ago

Andrew is evaluating his current financial position by totaling his monthly cash inflows and outflows. His cash inflows each mon

jeka57 [31]

Answer:

Andrew has $15 left over each month

Step-by-step explanation:

Inflows=$240+$60=$300/mo.

Outflows=$170+$70+45=$285/mo.

Inflows-Outflows=left over

$300-$285=$15

8 0

3 years ago