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Tanzania [10]
3 years ago
12

Samantha invested $67,000 in an account paying an

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Answer:

A = $13,116.03

Step-by-step explanation:

the equation used for compound is  A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.

A = 10,000.00(2.71828)^(0.03875)(7)

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Angle G is congruent to which angle?
valkas [14]

Angle G is congruent to only two angles in this problem: angle I and angle E.

Angle G is congruent to Angle I because they are vertical angles.

Angle G is congruent to Angle E because they are alternate interior angles.

Hope this helps!

5 0
3 years ago
Nelly runs a 10 mile race in 88 minutes. At this rate, how long would it take him to run a 6.5 mile race?
Mademuasel [1]

Answer:

A. 57.2

Step-by-step explanation:

Given: Nelly runs =  10-mile race in 88 minutes. At the same rate but 6.5-mile race

To find: How long it would take him to run a 6.5-mile race

Solution: To calculate the how long;

<u>How to calculate running pace</u>

  • Divide your run time by your distance
  • If you ran 3 miles in 30 minutes:  30 min ÷ 3 mi = 10 minutes per mile pace

<u>How to calculate run distance</u>

  • Divide your running time by your pace
  • If your pace is 8 minutes per mile and you ran for 32 minutes:  32 min ÷ 8 min per mi = 4 miles

<u>How to calculate run time</u>

  • Multiply your pace by your distance
  • If your pace is 9.5 minutes per mile and you ran 3 miles:  9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds

<u>How to calculate running speed</u>

  • Divide your run distance by your run time
  • If you ran 2.5 miles and you ran for 20 minutes: 2.5 mi ÷ 20 min = 0.125 miles per minute
4 0
3 years ago
Solve the inequality.<br> |3x + 7| &lt;4
VashaNatasha [74]

Answer:

-\frac{11}{3} \leq x\leq -1

Hope this helps!! <3

8 0
3 years ago
Read 2 more answers
A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall
Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : \mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7

Standard deviation : \sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}

=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}

=\dfrac{30.265}{10}=3.0265

The confidence interval for the population mean (for sample size <30) is given by :-

\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given significance level : \alpha=1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=t_{9,0.025}=2.262

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)

Hence, 95% confidence interval for the true mean= (2.54,6.86)

7 0
4 years ago
This isn't a question, just a tip!
masya89 [10]
Aww thank you. Im pretty sure you helped people cause you helped me :) I hope you have an amazing day!
3 0
3 years ago
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