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2 years ago

Colin was thinking of a number. Colin subtracts 5 from it and gets an answer of 10.7. What was the original number?

Mathematics

1 answer:

Gemiola [76]2 years ago

8 0

Answer:

15.7

Step-by-step explanation:

10.7 + 5 = 15.7

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You deposit $975.52 in a bank account. Find the balance after 4 years if the account pays 7.25% annual interest compounded quart

sladkih [1.3K]

Answer:

The final ballance will be $1300.37.

Step-by-step explanation:

In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:

S = P(1 + r/n)^(n*t)

Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:

S = 975.52*(1 + 0.0725/4)^(4*4)

S = 975.52*(1.018125)^(16)

S = 975.52*1.333

S = 1300.37

The final ballance will be $1300.37.

4 0

3 years ago

which graph represnts a line with a slope ot -2/3 and a y-intercept equal to that of the line y=2/3x-2?

tia_tia [17]

The graph will be as shown in attached figure

4 0

2 years ago

Last year there were 120 students in choir. This year, 30% more students took choir. How many students are taking choir this yea

soldi70 [24.7K]

Answer:

156 students

Step-by-step explanation:

To find how many students are in choir this year, multiply 120 by 1.3

120(1.3)

= 156

So, this year, 156 students are taking choir

7 0

2 years ago

Read 2 more answers

Which of the following is equal to 7^1/3? O A. 3v7 B. V7.3 C. 7^3 D.v7

Shkiper50 [21]

Step-by-step explanation:

what does the ^ stand for? what number does it represent?

7 0

2 years ago

A true/false test has 40 questions. Suppose a passing grade is 30 or more correct answers. Test the claim that a student knows m

Angelina_Jolie [31]

Answer:

z≈3.16

p≈0.001

we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

Step-by-step explanation:

As a result of step 2, we can assume normal distribution for the null hypothesis

step 3:

z statistic is computed as follows:

z= $\frac{X-M}{\frac{\sqrt{p*(1-p)} }{\sqrt{N} } }$ where

X is the proportion of correct answers in the test ( $\frac{30}{40}$ )
M is the expected proportion of correct answers according to the null hypothesis (0.5)

p is the probability of correct answer (0.5)
N is the total number of questions in the test (40)

z= $\frac{0.75-0.50}{\frac{\sqrt{0.5*(0.5)} }{\sqrt{40} } }$ ≈ 3.16

And corresponding p value for the z-statistic is p≈0.001.

Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

7 0

3 years ago