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Gnom [1K]
3 years ago
13

Sam opened a money account that pays 3 % simple interest. He started the account with 7000$ and made no further deposits. When h

e closed the account, he had earned 1,050$ in interest. How long did he keep his account open?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0
He kept his account open for 3 years
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Determine the unknown side of the similar triangle.<br> A) 8 <br> B) 12 <br> C) 18 <br> D) 24
blsea [12.9K]

Answer:

B-12

Step-by-step explanation:

Since 24÷12=2 you have to do 6×2 to find the ? and 6×2=12

8 0
3 years ago
Choose the midpoint of the line segment with endpoints at (5, 9) and (11, 15).
Tcecarenko [31]

Answer:

C) (8,12)

Step-by-step explanation:

MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{5+11}{2} )(\frac{9+15}{2} )\\MP= (\frac{16}{2} )(\frac{24}{2} )\\MP= (8,12)

8 0
3 years ago
The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
3 years ago
Solve this equation: 4y + 228 = 352. <br> A. y = 31<br> B. y = – 31<br> C. y = 3<br> D. y = 145
V125BC [204]
To let the variable alone you can follow these steps: 1) subtract 228 from both sides 2) divide both sides by 4. This is the solution: 1) 4y + 228 - 228 = 352 - 228 => 2) 4y = 124 => 3) (4y)/4 = 124/4 => 4) y = 31. Then, <span>the answer is the option A. y = 31. </span>
3 0
3 years ago
There are 50 yellow golf balls and 45 red golf balls what is the ratio
Igoryamba
50:45, simplified it is 10:9
(Divide both sides by 5)
8 0
3 years ago
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