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Finger [1]
3 years ago
15

Use the​ add-on method for determining interest on a loan of ​$1730​, with an annual rate of 12​% and a term of 2 years.​ Then,

determine the annual interest rate during the last month of the loan.
Use the​ add-on method for determining interest on a loan of ​$1730​, with an annual
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0
In 2 years, you will have $2,170.11
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Dana has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the ra
Sedaia [141]

Answer:

2hrs 40 minutes

Step-by-step explanation:

The formula for distance is expressed as:

d=st, s=speed, t=time

#The time taken to run:

d=st\\\\t=d/s\\\\t_r=d/8

#The time taken to walk:

d=st\\\\t=d/s\\\\t_w=d/2

#Since the distances are the same:

d_r=8t_r,d_w=2t_w\\\\8t_r=2t_w\\\\t_r+t_w=4->t_w=4-t_r\\\\\therefore8t_r=2(4-t_r)\\\\8t_r=8-2t_r\\\\t_r=1\frac{1}{3} \hrs\\\\t_w=4-1\frac{1}{3}=2\frac{2}{3}\ hrs

Hence, Dana spends 2hrs 40 minutes walking back

8 0
3 years ago
A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion
Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}  , where \hat{p}= Sample proportion , n= sample size , z*= Critical z-value.

Let p be the  proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

\hat{p}=\dfrac{2250}{4000}=0.5625

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})

=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)

Hence, the required 90% interval = (0.5496, 0.5754)

6 0
3 years ago
Please help me Answer the encircled numbers only
MrRissso [65]
I hope this helps you

3 0
2 years ago
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 15,434 gallons of water, and is leaking at a rat
Usimov [2.4K]

Answer:

12, 994 gallons

Step-by-step explanation:

20(122) = 2440

15434 - 2440 = 12, 994

7 0
2 years ago
Can somebody help me please !?
r-ruslan [8.4K]

Answer:

option 4) x = 14  y = 7

Step-by-step explanation:

We are given a side angle and a side length so we can use trigonometry to find the solution

To find x we can use sine because the given side length is opposite to the angle so,

sin(60) = \frac{7\sqrt{3} }{x}

solve for x and you get 14 (make sure you check that your calculator is in degrees)

for either use Pythagorean theorem or remove sine by tangent.

4 0
2 years ago
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