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## Ryan was 8 when his parents invested \$4000 in a certificate of deposit that pays 6%. if ryan leaves the account alone until it reaches \$10,000, how old will he be? (assume that the interest is not compounded annually.)

Ryan was 8 when his parents invested \$4000 in a certificate of deposit that pays 6%. if ryan leaves the account alone until it reaches \$10,000, how old will he be? (assume that the interest is not compounded annually.)

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## In which situation would a certificate of deposit (CD) be the best banking choice?

One of the situation would beYou are setting money aside specifically for home renovation in several years
In Certificate deposit investment, the interest rate is pre-determine while overlooking the inflation rate in the future.
So, this type of investment is perfect for those who do not want to take high risk and have no problem in waiting for a long period of time before they could obtain the return.

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## You deposit \$1,000 in a certificate of deposit that pays 5.9% interest, compounded annually. What is your balance after 3 years.

You deposit \$1,000 in a certificate of deposit that pays 5.9% interest, compounded annually. What is your balance after 3 years.

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## 8. An online bank statement reads as follows: Account balance: \$986.24 Car payment: \$203.34 Gas bill: \$96.67 Check deposit: \$1289.60 Cash deposit: \$45 Debit card transaction: \$67.12 ATM withdrawal: \$30 Find the current account balance to date. A. \$937.47 B. \$1,726.52 C. \$1,555.33 D. \$1,923.71

Starting balance : 986.24

deductions :
car payment : 203.34
gas bill : 96.67
debit card : 67.12
ATM : 30
total deductions : 203.34 + 96.67 + 67.12 + 30 = 397.13

deposits :
check : 1289.60
cash : 45
total deposits : 1289.60 + 45 = 1334.60

Balance to date : 986.24 + 1334.6 – 397.13 = 1923.71 <==

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## Suzu, an employee of ridgeline credit union, deposits into her account checks entrusted to the credit union through its atm system by customers to deposit into their accounts. this is

Suzu has no right to deposits other’s people money into her own account. By Doing this, Suzu has violated the trust that given by the credit union.
In United States’ law, this type of behavior will be processed as a white collar crime and the punishment will be depended on the amount of money involved

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## If you deposit \$5,400 at the end of each of the next 25 years into an account paying 10.3 percent interest, how much money will you have in the account in 25 years

If you deposit \$5,400 at the end of each of the next 25 years into an account paying 10.3 percent interest, how much money will you have in the account in 25 years

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## You deposit \$2000 each year into an account earning 6% interest compounded annually. How much will you have in the account in 35 years?

You deposit \$2000 each year into an account earning 6% interest compounded annually. How much will you have in the account in 35 years?

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## Colin received a bonus check for 2,500\$. He is going to deposit the money into his bank account that receives 5.5% simple interest. What is his balance after one year? A. \$2,637.50B. \$2,373.50C. \$2,813.50D. None of these choices

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Colin received a bonus check for 2,500. He is going to deposit the money into his bank account that receives 5.5% compounded annually. What is Colin’s account balance after 5 years? A. \$2,637.50B. \$6,327.50C. \$3,267.40D. None of these choices

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Andrew deposited \$500 in a savings account that offers an interest rate of 6.5%, compounded continuously. Andrew's initial deposit will grow to \$543 in ___ months.

Andrew deposited \$500 in a savings account that offers an interest rate of 6.5%, compounded continuously. Andrew’s initial deposit will grow to \$543 in ___ months.

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## Ceasar opens a bank account and makes an initial deposit of \$800. The banker tells Ceasar that he is going to receive an annual rate of 10% on his investment. Find the bank balance assuming Tom leaves the account untouched for 8 years.

Ceasar opens a bank account and makes an initial deposit of \$800. The banker tells Ceasar that he is going to receive an annual rate of 10% on his investment. Find the bank balance assuming Tom leaves the account untouched for 8 years.

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## You have \$36,948.61 in a brokerage account, and you plan to deposit an additional \$3,000 at the end of every future year until your account totals \$280,000. you expect to earn 11% annually on the account. how many years will it take to reach your goal? round your answer to two decimal places at the end of the calculations.

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## What was the main action President Jackson took regarding the Second National Bank? A. Jackson extended its charter for one year, and then allowed it to dissolve. B. Jackson vetoed an extension of its charter, causing it to dissolve. C. Jackson pressured state banks to deposit funds in the Second National Bank. D. Jackson extended its charter over the objections of the Supreme Court.

Here are the following effects of loose money and tight
money policies on the actions being listed.

A. A loose money policy
is usually implemented as an effort to encourage economic growth.
This can lead to inflation when uncontrolled. The effects are:

1. Borrowing becomes easy

3. Since more people are willing to buy,

4. Employment rate increases due to

5. Since more people are employed, thus
production also increases

B. A tight money policy is a course of action to restrict spending
in an economy that is growing too quickly or to hold back inflation when it is
rising too fast. This can lead to recession when uncontrolled. The
effects are:

1. Borrowing becomes difficult

3. Since people don’t have a lot of

4. Unemployment rate increases due to businesses
slowing down

5. Production decreases

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## What are 3 types of check endorsements used to deposit checks into a bank account?

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Palma wishes to establish a fund for her granddaughter’s college education. What lump sum must she deposit in an account that pays with an annual interest rate of 6 percent, compounds monthly, if she wishes to have \$10,000 in ten years? Round to two decimals.

Graph drawn by Pauley ,for the change in temperature of hot tea:

→Function Decreases Quickly first, and then decreases more slowly as time passes

If the equation of the function has been linear, there must have been constant rate of  decrease of temperature.

Here,when we compose the function,that is , f(x)=y, where,

that is , y(temperature), decreases,when time increases.

Suppose this function is linear,represented as

→ y=k x, where k is the slope of line , a fixed real umber, it shows that,y and x are directly proportional to each other,that is when time increases ,temperature increases or vice versa.

→But , here the situation is different,that is with increase in one variable(time),other variable (temperature), decreases .

So,we can conclude that, the given function can’t be linear.

Option D: It is nonlinear because linear functions increase or decrease at the same rate. is description about the situation Described.

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## For a two week period, John and Amanda had the following transactions occur to their checking account: a deposit of \$1,644.50; checks written for \$190, \$45, and \$7.50; and debit card transactions for \$30, \$5.59, \$7.20, and \$21.30. What is the ending balance for this time frame?

1. Since each child kicks the same number of times, it is not important whether he or she kicks 1 time, 2, 3 or more times. So let all of them kick 1 time.

2. assume we start with a girl. We can start with either of the 77 girls, then second is a boy which can be either of the 76, the third is a girl which can be either of the 76 remaining, then the forth is one of the 76 boys…

3. So starting with a girl we have

77*(77)*76*(76)*75*(75)….*2*(2)*1*(1)=77!*77!

4. OR we could have started with a boy, where we would get again 77!*77!

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## Steven wants to buy a \$500 bicycle steven has no money saved but will be able to deposit \$45 into a savings account when he receives his paycheck each friday however before steven can buy a bike he must give his sister \$85 that he owes her for how many weeks will steven need to deposit money into his savings account before he can pay back his sister and buy the bike ?

Step-by-step explanation:

Given that the quiz scores for two different groups of math students are given below.

Group A =93, 90, 71, 77, 85, 75, 77, 85, 87, 90

Count =10: Mean = 83: Std dev: = 7.0852

Group B = 71, 75, 85, 95, 71, 71, 90, 95, 87, 80

Count =10: Mean = 82: Std dev: = 9.230

Since std dev is lower for group A

Group A has less variability and hence more consistent.

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## Jimmys dad gave him \$100 on his birthday, which is January 1. Jimmy deposited the \$100 in his savings account the same day. At the beginning of every month thereafter, jimmy decides to deposit three time the amount he did in the previous month. On June 15th of the same year, the amount in jimmys account will be

Firstly let’s find the dimension of this large rectangle:(given)

Area of Rectangle = 660 x 66 =43,560 ft²

And we know that 1 acre = 43,560 ft², then each rectangle has an area of 1 acre & the 20 acres will correspond to 20 x 43560 = 871,200 ft²

We know that the 20 acres form a rectangle. We need to know what is their disposition:

1) We would like to know the layout of the rectangles since we have 4 possibilities FOR THE LAYOUTS

Note that W=66 & L=666 = 43,956 ft²/ unit )

lay out shape could be either:(in ft)
1 W by 20 L  (Final shape Linear 66 x 13320 = 879,120) or
2 W by 10 L  (Final shape Stacked  132 x 6660 = 879,120) or
4 W by   5 L  (Final shape Stacked  264 x 3330 = 879,120) or

2) We would like to know the number of participants so that to allocate equal space as well as the pedestrian lane, if possible, if not we will calculated the reserved space allocated for pedestrian/visitors)

3) Depending on the shape given we will calculate the visitor space & we will deduct it from the total space to distribute the remaining among the exhibitors.

4) (SUGGESTION) Assuming it’s linear, we will reserve
20ft x 13320 ft = = 266,400 ft² and the remaining 612,720 ft² for exhibitors
5) Depending on the kind of the exhibition, we will divide the 612,720 ft² accordingly
6) How can we select the space allocated for each exhibitor:
the 617,720 ft² could be written as a product of prime factors:
612720 = 2⁴ x 3² x 5 x 23 x 37
If you chose each space will be185 ft² , then we can accommodate up to 3,312 exhibitors.
Obviously you can choose any multiple of the prime factors to specify the area allocated & to calculate the number of exhibitors accordingly

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