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dem82 [27]
3 years ago
13

You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four years. What is the equivalent

interest rate, and how many times will the money be compounded

Mathematics
1 answer:
posledela3 years ago
3 0

Answer:

1.25% and 16 times

Step-by-step explanation:

Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.

Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.

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3 0
3 years ago
10) in a school there are 1500 students. if 60% are boys, find the numbers of boys.​
Debora [2.8K]

Answer:

900

Step-by-step explanation:

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4 0
2 years ago
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Let f (x) = x - 4 and g(x) = 6 - x<br> Evaluate f(5) + g(5).
mel-nik [20]

Answer:

2

Step-by-step explanation:

Into  f (x) = x - 4, plug 5 in the place of x: 5 - 4 = 1

Into  g (x) =6 - x, plug 5 in the place of x: 6 - 5 = 1

Then: 1 + 1 = 2

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A²x2=100<br> What’s the answer to my question??
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3 years ago
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With no stops, it takes 3 hours for a motorist to make a trip driving at an average speed of 65 mph. When the motorist stops for
PtichkaEL [24]

Answer:

The  time for which motorist stop for gas and sandwich is 15 minutes

Step-by-step explanation:

Given as :

Let The distance cover by motorist = d miles

Let The time for which motorist stop = n minutes

The time taken by motorist to cover d distance with no stop = t = 3 hours

The average speed of motorist with no stop = s = 65 miles per hour

<u>Again</u>

The time taken by motorist to cover d distance with stop = T hours

The average speed of motorist with stop = S = 60 miles per hour

∵ Distance = Speed × Time

<u>So, with no stop</u>

d = s × t

Or, d = 65 miles per hour × 3 hours

Or, d = 195 miles

<u>And, with stop</u>

d = S × T

Or, d = 60 miles per hour × T hours

∵ d = 195 miles

So, 60 miles per hour × T hours = 195 miles

Or , 60 T = 195

∴ T = \dfrac{195}{60}

i.e T = 3.25 hours

Or, T = 3 hours + \frac{25}{100} hours

Or, T = 3 hours +  \frac{1}{4} hours

Or, T = 3 hours +  \frac{60}{4} minutes

Or, T = 3 hours + 15 minutes

So, time taken by motorist to cover d distance with stop = T = 3 h + 15 min

Now,

The time for which motorist stop = time taken by motorist to cover d distance with stop - time taken by motorist to cover d distance with no stop

i.e n = T - t

Or, n = ( 3 hours + 15 minutes) - ( 3 hours)

∴ n = 15 minutes

So, The time for which motorist stop = n = 15 minutes

Hence, The  time for which motorist stop for gas and sandwich is 15 minutes . Answer

3 0
3 years ago
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