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4 years ago

A 5 ounce can of peas cost $0.85. An 11 ounce can of peas cost $2.20. Which is the better buy?

1 answer:

8 0

5 ounce of peas.

Explanation:

5 ounces of a can of peas is $0.85.
10 ounces of two cans of peas is $1.75.

10 is closer to 11.

So 5 ounces of a can of peas is more reasonable.

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Use the compound interest formulas A=P e^rt to solve the problem given. round answers to the nearest cent.

goblinko [34]

Answer:

a) $20,771.76

b) $20,817.67

c) $20,484.80

d) $20,864.52

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Part (a): semiannually

Given:

P = $15,000
r = 5.5% = 0.055
n = 2
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{2}\right)^{2 \times 6}$

$\implies \sf A=15000\left(1.0275}{2}\right)^{12}$

$\implies \sf A=20771.76$

Part (b): quarterly

Given:

P = $15,000
r = 5.5% = 0.055
n = 4
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{4}\right)^{4 \times 6}$

$\implies \sf A=15000\left(1.01375}\right)^{24}$

$\implies \sf A=20817.67$

Part (c): monthly

Given:

P = $15,000
r = 5.5% = 0.055
n = 12
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{12 \times 6}$

$\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{72}$

$\implies \sf A=20484.80$

Continuous Compounding Formula

$\large \text{$ \sf A=Pe^{rt} $}$

where:

A = Final amount
P = Principal amount
e = Euler's number (constant)
r = annual interest rate (in decimal form)
t = time (in years)

Part (d): continuous

Given:

P = $15,000
r = 5.5% = 0.055
t = 6 years

Substitute the given values into the formula and solve for A:

$\implies \sf A=15000e^{0.055 \times 6}$

$\implies \sf A=20864.52$

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/28004698

4 0

2 years ago

Evaluate the expression when d=-3 |d|

nirvana33 [79]

Alright. Start by plugging in -3 for d. There are absolute value signs on the outside, so it negates the negative and makes it just 3. I hope this helps you.

From,
Am3865211

8 0

3 years ago

To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a

Igoryamba

Answer:

Ik this is late but the answer is A

3 0

3 years ago

Water freezes at 0 degrees Celsius. A student discovered that adding half a cup of salt to a gallon of water lowers its freezing

Artemon [7]

Answer:

-7°C

Step-by-step explanation:

Freezing point of water = 0°C

By adding salt, freezing point lowers by 7°C ;

The freezing point of salt water can be expressed as ;

Since temperature lowers :

Freezing point of salt water :

Freezing point of water - 7°C

0°C - 7°C

= - 7°C

4 0

3 years ago

company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to pay an equal amount, x, to pay

Alisiya [41]

Answer:

Step-by-step explanation:

5400 / 8 = x

675 = x

Each owner pays 675

8 0

2 years ago