MATHEMATICS HIGH SCHOOL

The bank balance was $1,234,567 on January 31. In February, we received $825k on paid invoices, and had $198k in cost of sales, $356k in overhead, and $92k in other expenses. In March, we expect cash revenue to grow by 12% and all expenses to grow by 9%. What do you project the bank balance to be on April 1?

Answers

Answer 1

Answer:

Answer:

April Beginning Balance $ 1,633,427

Step-by-step explanation:

The closing balance of January is the opening balance of February

February,

Opening Balance $1,234,567

Add Payment received on invoices $825k

Less Cost of sales $198k,

Less Overheads $356k ,

Less Other Expenses $92k .

February Ending Balance $ 1,413, 567

March

Beginning Balance $ 1,413, 567

Add Payment received on invoices $825k *1.12= 924 k

Less Cost of sales $198k *1.09= 215.82k

Less Overheads $356k *1.09= 388.04k

Less Other Expenses $92k *1.09= 100.28k

March Ending Balance = $ 1,633,427

April Beginning Balance $ 1,633,427

Treating the Costs of Sales, Overheads and the other expenses as the expenses paid out of the Bank Balance meaning no accounts payable or other cash paid.

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Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?All integers where n ≥ 0

All integers where n ≥ 1

All integers where n ≥ 5

All integers where ≤ 5

Answers

Answer:

Hence, All integers where n ≥ 1

Option 2 is correct.

Step-by-step explanation:

Given: The geometric sequence

where, a1 = a = 5 and the common ratio (r) = −3

Now we will find the general term of Geometric sequence.

$a_n=ar^(n-1)$

$a_n=5(-3)^(n-1)$

Now we write as function,

$f(n)=5(-3)^(n-1)$

f(1)=5

For n=1,

Geometric series start from n=1

Therefore, Domain: n≥1

Hence, All integers where n ≥ 1

Answer:

Al integers where n≥1

Step-by-step explanation:

Yessirrrr

Which of the following is not a solution for the variable y in the following inequality? 4y - 3 > 37 a. 16
b. 14
c. 12
d. 10

Answers

The answer it d.10 because 4(10)-3 would be equal to 37, so it would be 37=37.

Graph h(x)=8 I x+1 I -1.

Answers

Answer:

search it up its there

Step-by-step explanation:

Waht is the elapsed time for 1:05 pm - 4:40 am

Answers

elapsed time from 105pm to 440am is 15 hours and 35 minutes.

1.05 pm to midnight = 10h 55 m
adding 4 h 40 minutes gives
15h 36 m

How are the graphs of the functions y=2(2)^x and y=2(1.1)^x similar?

Answers

if the are equal then they can be similar, otherwise they are not.

Y=2(2)^x ----> y=(4)^x

Y=2(1•1)^x--> y=(2•2)^x----> y=(4)^x

Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nick’s credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.) a.$619.68 b.$267.50 c.$1,609.57 d.$1,070.00

Answers

Answer:

Ans. Nick paid $619.68 more than Miles (exactly $619.54). So the answer is A)

Step-by-step explanation:

Hi, first we need to find the equal monthly payments for both, Miles and Nick, for that, we need to find the effective monthly rate (because the payments are going to be made monthly), also, we need to convert that 4 year period into months. After doing all that, we need to use the following equation and solve for "A".

$Present Value=(A((1+r)^(n) -1))/(r(1+r)^(n) )$

Where:

A= monthly payments

r= rate of interest (for Miles is 0.075/12=0.006458 and Nick 0.131/12=0.010916)

n= number of periodic payments (both are 4*12=48 months)

First, let´s find out how much money Miles has to pay every month.

$5,000=(A((1+0.00645833)^(48) -1))/(0.00645833(1+0.00645833)^(48) )$

$5,000=A(41.1594758)$

$A=121.48$

So, Miles has to pay $121.48 every month, for 48 months, that is a total of $5,830.98 (121.48*48=5,830.98)

Now, let´s do Nick

$5,000=(A((1+0.01091667)^(48) -1))/(0.01091667(1+0.01091667)^(48) )$

$5,000=A(37.2063189)$

$A=134.39$

So, Nick has to pay $134.39 every month, for 48 months, that is a total of $6,450.52 (134.39*48=6,450.52)

The difference is 6,450.52- 5,830.98=619.54

Means that Nick has to pay $619.54 more than Miles. To your answers, the closest is A) $619.68.

Best of luck

Miles:7.75% (0.0775) x 5,000 = $387.5 x 4 = $1550 (over four year period)Nick:13.10% (0.131) x 5,000 = $655 x 4 = $2620$2620 - $1550 = $1,070 (rounded to nearest cent)So the answer is D.

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