I have to come up with a solution to this answer while using an equation from the equation sheet. Please help HelpJosh bought a 10000 fac...psu.instructure.comAYFCE 211N, Section 00...Syllabuswill it take his account to grow to $8000?4. Donna makes $36,000 in the first year of her job. She expects to receive a raise of $1600 eachyear. How many years will it take Donna's salary to double? Triple?Bowling Alone: The Colla....5. A company loses $5000 in its first month, but its profit increases by $300 in each of the followingmonths. What is the company's total profit or loss for the first two years?Page6. Josh bought a $10000 face value T-bill at auction. The term is 150 days, and the simple discountrate is 5 %%. How much did Josh pay for the T-bill? (ie Find the proceeds.) *a) Find the simple discount rate.b) Find the equivalent simple interest rate.287. The Williams Foundation invested $48500 in discount bonds with face values totaling $50000.The bonds will reach maturity in 180 days. Find the simple discount rate.8. Sarah is expecting a $675 paycheck in 4 days. A payday lender offers to give her cash now forthis check. The lender's fee is 1% of the amount of the paycheck, plus a $5 service fee.19. Suppose that $1350 is deposited into a savings account that earns 3 5/8% compounded annuallyfor 11 years. Find the total interest earned from the savings account.10. How much money should Jacob deposit today into an account earning 7.5% compoundedannually in order to have $22000 in the account 4 years from now?tvMacBook ProO ProceedsFormulaMath 34 FormulasSimple Interest Formula I-PRTI= simple interestP = principalR = rateT= termNth Term of An Arithmetic Sequence an = a₁ + (n-1)da₁ = first termd = common differenceSum of the First n Terms of an Arithmetic SequenceSa= (n/2)(a₁ + an)a₁ = first terma, nth term=Simple Discount Formula D=MdTD = simple discountM = maturity valued interest discount rate=T = termCompound Interest Formula FV = PV(1 + i)FV = future valuePV = present valuei = interest rate per compounding periodn = number of compounding periodsN+1st Term of a Geometric Sequence a = aor"ao = first terma₁ second termr = common ratio = a₁/aoInfinite Geometric SumSo ao /(1-r)ao first term=r=common ratio= a/aoSum of the First n Terms of a Geometric SequenceSa ao (1-1)/(1-r).ao = first termr = common ratio = a₁/aoCompound Interest Ratei= compound interest rateFV future valuePV = present valuen = number of compounding periodsEASFVi=(-)""-1PVTime Periods n = log (FV/PV)log (1 + i)i compound interest rateFV future valuePV = present value=HOMRule of 72The time required for a sum of money to double ata compound interest rate of x% is approximately72/x years. (x should not be converted to a decimal)Rule of 72 (Alternate Form)The compound interest rate required for a sum of moneyto double in x years is approximately 72/x percent.Effective Interest Rate Eff. Rate= (1+r/c)-1r = the nominal interest ratec = the number of compoundings per yearContinuous Compounding FV = PV e(n)FV = future valuePV = present valuee a mathematical constant (approx. 2.71828)r = annual interest ratet = number of yearsFuture Value Annuity Factor Si= (1+i)-1i interest rate per payment periodn = number of payment periodsFuture Value of an Ordinary Annuity FV = PMTS/iFV = future value of the annuityPMT= amount of each paymentSn/i annuity factor=Future Value of an Annuity Due FV = PMTS(1+i)FV = future value of the annuityPMT= amount of each paymenti = interest rate per payment periodSni annuity factorInterest for Future Value Annuitiesinterest FV- total depositsPresent Value Annuity Factori= interest rate per payment periodn number of payment periods1-(1+i)"iPresent Value of an Ordinary Annuity PV = PMTaiPV = present value of the annuityPMT= amount of each paymentani present value annuity factorPresent Value of an Annuity Due PV=PMTa(1+i),PV = present value of the annuityPMT= amount of each paymentani present value annuity factor=Interest for Present Value Annuitiesinterest total deposits - PV

Given 1. company loses in first month = $5000 2. Profit in each month = $300 3. Total time period =…

Answered: 5. A company loses $5000 in its first…

5. A company loses $5000 in its first month, but its profit increases by $300 in each of the following months. What is the company's total profit or loss for the first two years?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

I have to come up with a solution to this answer while using an equation from the equation sheet. Please help

Help
Josh bought a 10000 fac...
psu.instructure.com
AYFCE 211N, Section 00...
Syllabus
will it take his account to grow to $8000?
4. Donna makes $36,000 in the first year of her job. She expects to receive a raise of $1600 each
year. How many years will it take Donna's salary to double? Triple?
Bowling Alone: The Colla....
5. A company loses $5000 in its first month, but its profit increases by $300 in each of the following
months. What is the company's total profit or loss for the first two years?
Page
6. Josh bought a $10000 face value T-bill at auction. The term is 150 days, and the simple discount
rate is 5 %%. How much did Josh pay for the T-bill? (ie Find the proceeds.) *
a) Find the simple discount rate.
b) Find the equivalent simple interest rate.
28
7. The Williams Foundation invested $48500 in discount bonds with face values totaling $50000.
The bonds will reach maturity in 180 days. Find the simple discount rate.
8. Sarah is expecting a $675 paycheck in 4 days. A payday lender offers to give her cash now for
this check. The lender's fee is 1% of the amount of the paycheck, plus a $5 service fee.
1
9. Suppose that $1350 is deposited into a savings account that earns 3 5/8% compounded annually
for 11 years. Find the total interest earned from the savings account.
10. How much money should Jacob deposit today into an account earning 7.5% compounded
annually in order to have $22000 in the account 4 years from now?
tv
MacBook Pro
O

Proceeds
Formula
Math 34 Formulas
Simple Interest Formula I-PRT
I= simple interest
P = principal
R = rate
T= term
Nth Term of An Arithmetic Sequence an = a₁ + (n-1)d
a₁ = first term
d = common difference
Sum of the First n Terms of an Arithmetic Sequence
Sa= (n/2)(a₁ + an)
a₁ = first term
a, nth term
=
Simple Discount Formula D=MdT
D = simple discount
M = maturity value
d interest discount rate
=
T = term
Compound Interest Formula FV = PV(1 + i)
FV = future value
PV = present value
i = interest rate per compounding period
n = number of compounding periods
N+1st Term of a Geometric Sequence a = aor"
ao = first term
a₁ second term
r = common ratio = a₁/ao
Infinite Geometric Sum
So ao /(1-r)
ao first term
=
r=common ratio= a/ao
Sum of the First n Terms of a Geometric Sequence
Sa ao (1-1)/(1-r).
ao = first term
r = common ratio = a₁/ao
Compound Interest Rate
i= compound interest rate
FV future value
PV = present value
n = number of compounding periods
EAS
FV
i=(-)""-1
PV
Time Periods n = log (FV/PV)
log (1 + i)
i compound interest rate
FV future value
PV = present value
=
HOM
Rule of 72
The time required for a sum of money to double at
a compound interest rate of x% is approximately
72/x years. (x should not be converted to a decimal)
Rule of 72 (Alternate Form)
The compound interest rate required for a sum of money
to double in x years is approximately 72/x percent.
Effective Interest Rate Eff. Rate= (1+r/c)-1
r = the nominal interest rate
c = the number of compoundings per year
Continuous Compounding FV = PV e(n)
FV = future value
PV = present value
e a mathematical constant (approx. 2.71828)
r = annual interest rate
t = number of years
Future Value Annuity Factor Si= (1+i)-1
i interest rate per payment period
n = number of payment periods
Future Value of an Ordinary Annuity FV = PMTS/i
FV = future value of the annuity
PMT= amount of each payment
Sn/i annuity factor
=
Future Value of an Annuity Due FV = PMTS(1+i)
FV = future value of the annuity
PMT= amount of each payment
i = interest rate per payment period
Sni annuity factor
Interest for Future Value Annuities
interest FV- total deposits
Present Value Annuity Factor
i= interest rate per payment period
n number of payment periods
1-(1+i)"
i
Present Value of an Ordinary Annuity PV = PMTai
PV = present value of the annuity
PMT= amount of each payment
ani present value annuity factor
Present Value of an Annuity Due PV=PMTa(1+i),
PV = present value of the annuity
PMT= amount of each payment
ani present value annuity factor
=
Interest for Present Value Annuities
interest total deposits - PV

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