MATHEMATICS HIGH SCHOOL

Betty deposits $300 into an account that earns 5% interest compounded annually. Teresa deposits the same amount into an account that earns 5% simple interest. Compare the account balances after 2 years.

Answers

Answer 1

Answer:

Step-by-step explanation:

Considering Betty's account

Initial amount deposited into the account is $300 This means that the principal is

P = 300

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 5%. So

r = 5/100 = 0.05

It was compounded for 2 years. So

t = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 300 (1+0.05/1)^1×2

A = 300(1.05)^2 = $330.75

Considering Theresa's account,

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

P = 300

R = 5%

T = 2

I = (300 × 5 × 2)/100 = 30

Total amount in Theresa's account after 2 years will be 30 + 300 = $330

Betty would earn more than Theresa. She will earn 330.75 - 330 = $0.75 more than Theresa.

Related Questions

D=RT for D, if T=5hours and T=65mph
2. If a circle has the diameter of 8, what is the circumference?
Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each month, how much in total is put into her 401k each month?A) $200 B) $800 C) $600 D) $1,000
Oil consumption is increasing at a rate of 1.8% per year. by what factor will oil consumption increase inn 6 years? Use the approximate doubling time formula (rule of 70)
(x² − 7)(x² − 3x + 5) multiply polynomial pleaseeeee

PLEASE HELP! How do I solve this problem?

Answers

The toughest part of this problem could be deciding what names to give the quantities of one-Euro and two-Euro coins.

-- I called the number of one-Euro coins ' N '.
Each of them is worth 1 Euro, so all ' N ' of them are worth ' N ' Euros.

-- I called the number of two-Euro coins ' T '.
Each of them is worth 2 Euros, so all ' T ' of them are worth ' 2T ' Euros.

-- The total number of coins in Penny's pocket is (N + T), and it says there are 11.

-- Their total value is (N + 2T), and it says the total value is 18.

So now you have two equations, with two unknowns.

   N + 2T = 18
   N + T = 11

Subtract the bottom equation from the top one, and you get:

(N - N) + (2T - T) = (18 - 11)

   T = 7    (there are 7 two-Euro coins in her pocket)

That right there is the answer to the question, so you don't need to go
any farther. But if you wanted to, you could also figure out how many
one-Euro coins there are in her pocket.

What number replaces the Δ? 3 = 3
1 + 3 = Δ + 3

A.
1

B.
3

C.
4

D.
7

Answers

1 + 3 = Δ + 3

By comparing

Δ = 1.

Option A.

One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together?If x represents how many minutes to do the job together, then how much of the job does the slowest person do?

Answers

Answer:

They will take 6 minutes to do the job together.

Slowest person do 2/5 of the total work.

Step-by-step explanation:

Given,

Time taken by first person = 10 minutes,

⇒ One day work of the first person = $(1)/(10)$ ,

While, time taken by second person = 15 minutes,

⇒ One day work of second person = $(1)/(15)$ ,

So, when both persons work together, total one day work = $(1)/(10)+(1)/(15)$ ,

$=(3+2)/(30)$

$=(5)/(30)=(1)/(6)$

Thus, the total time taken by the both persons when they work together,

x = $(1)/((1)/(6))$ = 6 minutes

The one who takes more time is slower.

Now, the part of the work done by the slowest person ( second one),

$=\frac{\text{One day work of slowest person}}{\text{Total one day work}}$

$=(1/15)/(1/6)$

$=(2)/(5)$

One person can do the job in 10 minutes

So he can do 1/10th of the job in 1 minute

Similarly another person can do 1/15th of the job in 1 minute

Together they can do in 1 minute = 1/10 +1/15 = 5/30 = 1/6th of the job

So together they can finish the job in 6 minutes. ANSWER

slowest person does x/ 15 th of the job ANSWER

1/6 +1/2 +1/3 = 7/6

together they can do the job in 6/7 days

What is (-m)^-3n, if m= 2 and n= -24?a. 3b. -3c. 4. d. -4

Answers

$(-m)^(-3)n\n\nm=2;\ n=-24\n\nsubtitute\n\n(-2)^(-3)\cdot(-24)=(1)/((-2)^3)\cdot(-24)=(1)/(-8)\cdot(-24)=(-24)/(-8)=3$

Answer: a. 3

Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x − 2, y + 8) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.