To solve this we are going to use the compound interest formula

where:

is the investment

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years

is the amount after

years
First, lets convert the interest rate to decimal dividing it by 100%:

Next, lets find

. Since we know that the interest is compounded every 4 months (quarterly), it will be compounded

times in a year, so

.
We also know that

and

, so lets replace all the quantities into our compound interest formula:


Notice that the the number of years

is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the exponential expression:





Now that we know

, the last thing to do is convert 0.43 years to months:

We can conclude that Jimmy's investment will take
6 years and 5 months to reach $25,000.
$41 x 15% = $6.15/4 = 1.5375 if you round up you would get $1.54 as your asnwer.
Scientific notation:
8.41 x 10^7
expanded form:
84100000
25 times 8.14 is $203.50 so there’s your answer
Answer:
s≤4 cm.
Step-by-step explanation:
Let s be side of cube.
As we know that the volume of cube=side×side×side
Here, it is given that the volume of cube = 64 cubic centimeters.
or we can write
side×side×side=64 cubic centimeters
Taking cube root both sides
side= 4 cm
In order to build a cube with a minimum of 64 cubic centimeters,
we can take the value of s≤4 cm.
Hence, the reasonable range for s, the side length is s≤4 cm.