Ask question

Ask question

All categories

3 years ago

11

You have automatic deposit of your monthly paycheck which, after normal expenses, maintains your balance of $6,350 in your check

ing account. The account earns 2.5% interest per month. Every month you have an automatic repeat transfer of $150 from your checking account into your $34,500 savings account. If you do not pay any money out of your checking account until after the transfer, will the interest in your checking account cover the transfer?

1 answer:

olya-2409 [2.1K]3 years ago

4 0

Answer:

Yes

Step-by-step explanation:

You might be interested in

In the number at the right circle the 4 that has 10 times the value of the underlined 4

Aleksandr [31]

I think you would multiply 4 and 10 and that equals 40.

7 0

4 years ago

Find the sum of (x + 5) and (2x + 3)

weeeeeb [17]

Answer:

3x+8

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the missing side lengths

Mashcka [7]

Answer:

y = 9√3

x = 18

Step-by-step explanation:

taking 30 as reference angle

b = y

p = 9

h = x

so

tan30 = p/b

1/√3 = 9/b

or, b = 9√3

so

$h^2 = p^2 + b^2\\x^2 = 9^2 + y^2\\or, x^2 = 81 + (9\sqrt{3} )^2\\or, x^2 = 81 + 243\\or, x ^2 = 324\\or, x =\sqrt{324} \\\\so x = 18$

7 0

3 years ago

I will mark as the brainliest

aleksandrvk [35]

Peaks are the highest points of a graph, there are four peaks, which are on the line that corresponds with July, which would be summer.

The answers to question 1. are four, four, summer.

January is the lowest point of the graph which are between 0 and 10, so the average temperature for January would be around 5 degrees.

The highest peaks ( July) are around the 70 degree line.

The answer s for question 2 are 5 and 70 degrees.

8 0

3 years ago

Read 2 more answers

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

So

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

3 0

3 years ago