Answer:
a) Log ( 2 ) = 4t Log ( 83/80 )
b) 4.7 years
Step-by-step explanation:
Attached below is the detailed solution
<u>a) exponential statement in log form for an investment at 15% quarterly </u>
Log ( 2 ) = 4t Log ( 83/80 )
n = 4 , r = 15
<u>b) using change to base to find double time in yr </u>
Double time in yr
t = Log ( 2 ) / 4log ( 83/80 )
= 4.7 years
Answer:
15 nickels were there with Alexis
Step-by-step explanation:
Let there be x nickels
given that
The number of dimes is 5 less than twice the number of nickels.
no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5
we know that
value of 1 nickel = 5 cents
then
value of x nickel = 5*x cents = 5x cents
we know that
value of 1 dime = 10 cents
then
value of 2x-5 dime = 10(2x - 5) cents = 20x - 50 cents
Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50
given that
Alexia has total of $3.25 in nickel and dimes thus 25x - 50 must be equal to $3.25
$1 = 100 cents
$3.25 = 3.25 * 100 cents = 325 cents
Thus,
25x - 50 = 325
25x = 325 + 50 = 375
x = 375/25 = 15
Thus, no of nickels = x = 15 answer
Answer:
5 degrees greater
Step-by-step explanation:
Just write them in order from least to greatest and find the median. Then subtract the two.
Answer: interest at the end of 3 years is $495.72
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
From the information given
T = 3 years
P = $3,672
R = 4.5%
Therefore
I = (3672 × 4.5 × 3)/100
I = 49572/100
I = 495.72
Plug in 5 for n so it would be 5×5×5×5=
C.) 625