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Alla [95]
3 years ago
14

A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the

value of the account to be $750?
Mathematics
1 answer:
belka [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t

where PV= Initial amount deposited

r= interest rate or discount rate

t = total duration of the investment

FV= 750

PV=500

r = 2.5% or 0.025 as a decimal

t = ?

Next, plug in the numbers into the formula;

750 = 500* (1+0.025)^t

divide both sides by 500;

750/500 = 1.025^t

Introduce <em>ln</em> on both sides

ln 1.5 = ln 1.025^{t}

ln 1.5 = t ln 1.025

0.4054651 = 0.0246926 t

Divide both sides by 0.0246926 to solve for t;

0.4054651/0.0246926 = t

t = 16.42

Therefore it will take 16.42 years

You might be interested in
a) On Wednesday, Harry sold 3 times as many candy bars as on Tuesday. On Thursday, he sold 5 times as many bars as on Wednesday.
Alborosie

Answer:

Tues=8 Weds=24 Thurs=120

Step-by-step explanation:

The question can be modeled by the equation x+3x+15x=152

x is the amount sold on tuesday, 3x is 3 times the amount sold on tuesday so it represents wednesday and 15x represents thursday as it is 5 times the amount sold on wednesday.

Now we just need to solve for x to figure out how many he sold each day.

x+3x+15x=19x

19x=152

x=152/19

x=8

To find the amount sold on each day just mulitiply x by the coefficient

Tuesday = x = 8

Wednesday = 3x = 3*8 = 24

Thursday = 15x = 15*8 = 120

4 0
2 years ago
Find the 99th term of the arithmetic sequence 2, -3, -8,...
3241004551 [841]

Answer:

the sequence is by -5

therefore the next numbers are

-13,-18,-23,-28

7 0
3 years ago
14) 25 , 13, 4, 20,16,3,2,5<br>​
Igoryamba

Answer:

2,3,4,5,13,20,25 or

2,4,16,20(even number)

3,5,13,25 (odd number)

Step-by-step explanation:

6 0
2 years ago
After a 10% discount it became $450?
REY [17]
0.9x = 450
x = 450/0.9
x = 500

Answer = 500
7 0
3 years ago
Please Help!!! I will Give Brainliest!!!!!
daser333 [38]
It's probably 13.5, it's a right triangle with a 45 degree angle so if I remember correctly that means it's the same
4 0
3 years ago
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