Answer:
The projected image has dimensions 4 times those of the computer screen. The ratio is 1:4.
Step-by-step explanation:
The ratio of the projected width to the computer screen width is ...
(53 in)/(13.25 in) = 4
The ratio of heights is the same:
(42.4 in)/(10.6 in) = 4
The linear dimensions of the projected image are 4 times those of the computer screen.
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The way the question is written, you may be expected to write this 1 to 4 ratio as the fraction 1 : 4 or 1/4.
Answer:
z = 
Step-by-step explanation:
The ratio of corresponding sides are equal, that is
= 
( cross- multiply )
12z = 200 ( divide both sides by 12 )
z = 
=
Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
Answer:
first Let's find the common difference
an=a1+(n-1)d
let's take A2 that is 18
so 18=7+(2-1)d
18=7+d
d=11
so the next term is going to be 40+11 that is 51
Carmen deposits $400 into an account that plays simple interest at a rate of 5% per year. Amount in the account after 5 years:
$400 times (1.05)^5
=$510.51
The interest she will be paid in the first years = $110.51
