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KengaRu [80]
3 years ago
15

$6,700 is invested in an account earning 8. 3% interest (APR), compounded daily. Write a function showing the value of the accou

nt after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent
Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

  A = $6,700(1 +0.0865^t)

  APY = 8.65%

Step-by-step explanation:

Daily compounding of interest results in an annual growth factor of ...

  gf = (1 +r/365)^365 . . . . for APR = r

Your growth factor is ...

  gf = (1 +0.083/365)^365 ≈ 1.086532

Then the growth rate (APY) is ...

  APY = gf -1 ≈ 8.65%

The account value is multiplied by the growth factor each year, so after t years will be ...

  A = P(1 +APY)^t

  A = $6,700(1 +0.0865)^t . . . . . . . 0.0865 is the annual growth rate

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3 years ago
Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50% on food and 20% on house rent. How much
jeka94

Answer:

$2100

Step-by-step explanation:

1/3 of 4500 is 1500

to find 1/3 of a number is to multiply by 1/3

1/3 * 4500 = 1500

$1500 is for savings

subtract 1500 from 4500

4500 - 1500 = 3000

the remaining money is $3000

to find 50% of something, divide by 2

3000/2 = 1500

$1500 is spent on food.

20% of 3000 is 600

to find 20% of something, multiply the decimal value (0.2)

0.2 * 3000 = 600

$600 are spent on rent.

$450 leftover

1500 + 600 = 2100

Food and rent cost $2100

hope this helps:)

3 0
2 years ago
In a village, there was an epidemic and the population decreased by 10%. If there were only 1800 people left in the village, wha
tester [92]

\bold{\boxed{\huge{\blue{\underline{Answer }}}}}

\bold{\underline{ Given :- }}

\sf{The\: population\: is\: decreased \:by\: 10 percent  }

\sf{There\: were \: only \: 1800 \: people \: left}

\bold{\underline{ To\: Find :- }}

\sf{we \: have \: to \: find\: original \: population? }

\bold{\underline{ Let's \: Begin :- }}

\sf{Let \: the \: total \:  population\: be \: x }

\sf{\underline{ Therefore }}

\sf{According \: to \: the \: question }

\sf{ x - 10/100 = 1800 }

\sf{ 100x - 10/100 = 1800}

\sf{ 100x - 10 = 1800 × 100}

\sf{100x - 10 = 180000}

\sf{ 100x = 180000 + 10}

\sf{ x = 180010/100}

\sf{ x = 1800.1 }

\bold{\pink{Hence , The\: original \:population \:of \: the\: village \:is \:1800.1 }}

7 0
3 years ago
34,000 people attended a ballgame at a stadium that offers two kind of seats: general admission and reserved. The day's receipts
hoa [83]

Answer:

The number of people who paid $ 12 for reserved seat is 5,000

The number of people who paid $ 4 for general seat is 29,000  

Step-by-step explanation:

Given as :

The total number of people attending a ballgame = 34,000

The total receipt of the ticket's seat = $ 176,000

The amount pad for reserved seat = $ 12

The amount paid for general admission = $ 4

Let The number of people for reserved seat = r

And The number of people for general admission = g

Now, According to question

The total number of people attending a ballgame =  The number of people for reserved seat + The number of people for general admission

or, r + g = 34,000           ...........1

The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission

Or, $ 12 × r + $  ×4 g = $ 176,000           .........2

or, $ 12 × ( r + g ) = $ 12 × 34000

Or, $ 12 r + $ 12 g = $ 408,000

Solving equation

( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000

Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000

Or 0 + 8 g = 232,000

∴  g = \frac{232000}{8}

I.e g = 29,000

So , The number of people for general admission = g = 29,000

Put the value of g in Eq 1

I.e  r + g = 34,000  

or , r = 34,000 - g

∴  r = 34000 - 29000

I.e r = 5,000

So, The number of people for reserved seat = r = 5,000

Hence The number of people who paid $ 12 for reserved seat is 5,000

And The number of people who paid $ 4 for general seat is 29,000  Answer

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3 years ago
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