Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.
8500 = (400)(1+.075)^t
/400 /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26
<span><span>1.
</span>Lucas Lives 5/8 miles from their schools
=> 5/8 miles is equals to:
=> 5 / 8 = 0.625 miles.
Now, the problem says that Kenny lives twice as far as Lucas from their school.
Therefore, we only need to multiply the total number of miles of Lucas distance
from house to school to be able to get what is the distance of Kenny’s house to
school
=> 0.625 * 2 = 1.25 miles or 1 and ¼ miles.</span>
Answer:
New area is 175 42/45 feet ²
Step-by-step explanation:
Given data
Length l= 15 1/4
To proper fraction = 61/4 feet
Width w= 8 11/15
To proper fraction = 131/15 feet
Extention = 1 2/3
To proper fraction = 5/3
Dimensions of new rectangle
Length =61/4+5/3 = 183+20/12
LCM = 12 = 203/12
Width = 131/15+5/3= 131+25/15
LCM = 15 = 156/15
Area = 203/12*156/15= =31668/180
=31668/180
= 7917/45
= 175 42/45 feet ²
Graph y=3/4x-4 pls helppppppp.......,,,,,,,,,,.,,,,,
boyakko [2]
Step-by-step explanation:
Plug in y=3/4x-4 into desmos :)