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3 years ago

Sam deposits $2,500 in an account that earns 12% simple annual interest.

2 answers:

8 0

P=initial deposit
I=interest
r=rate(decimal)=0.12
t=years
3250=principal + interest
320=2500+(2500)*(0.12)*t
2500+(2500)(0.12)t=3250
2500+300t-2500=3250-2500
300t=750
300t/300=750/300
t=5/2 (answer in years)
5/2 times 12 = 30 (answer in months)
Hope i could help

strojnjashka [21]3 years ago

5 0

See this is what you should do ask

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If a population of dolphins increases at a constant rate of 1.5% every year for 20 years what will be the total percentage incre

hichkok12 [17]

Answer:

The population increased by 34.69% over 20 years.

Step-by-step explanation:

It is given that the population of dolphins increases at a constant rate of 1.5% every year for 20 years.

Formula for population increase:

$P=a(1+r)^t$

where, a is initial population, r is growth rate and t is time in years.

If the population of dolphins increases at a constant rate of 1.5% every year for 20 years, then the population after 20 years is

$P=a(1+0.015)^{20}$

$P=a(1.015)^{20}$

$P=1.346855a$

Where, a is the initial population.

The total percentage increase over the 20 years is

$\% change=\frac{P-a}{a}\times 100$

where, P is population after 20 years and a is initial amount.

$\% change=\frac{1.346855a-a}{a}\times 100$

$\% change=\frac{0.346855a}{a}\times 100$

$\% change=0.346855\times 100$

$\% change=34.6855$

$\% change\approx 34.69$

Therefore the population increased by 34.69% over 20 years.

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3 years ago

A submarine descended 3/5 of a kilometer in 1/5 of an hour. What was the submarine’s rate of descent in kilometers per hour?

grandymaker [24]

Answer:

3 km per hour

Step-by-step explanation:

You can deduct the answer instinctively since both the distance and the time of the descent are expressed in /5... so you can just get rid of the '/5' in both instances to get the result: 3 kilometers in 1 hour.

But you can also find it easily using the cross-multiplication system:

$\frac{3}{5} km = \frac{1}{5} hour$

Then you multiply each side by 5 to get

3 km = 1 hour

Thus the rate of descent is of 3 km per hour.

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3 years ago

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3 years ago

Follow the rule to find the output for an input of -4. output = input x 17

vladimir2022 [97]

Answer:

output = - 68

Step-by-step explanation:

given

output = input × 17

when input = - 4 , then

output = - 4 × 17 = - 68

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2 years ago

Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr

Katena32 [7]

Answer:

Tyler purchased 10 cans of soup and 5 frozen dinners.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

d = 5 ⇒ s = 2 * 5 = 10

Tyler purchased 10 cans of soup and 5 frozen dinners.

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

We proved d = 5 and s = 10 are correct

3 0

3 years ago