Formula for compound interest: A = P( 1 + r/n)^nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
^ = I used this symbol to present that a the number needs to go higher (see picture)
1. 500(1 + 2/100)^2 = 520.2
£520.20
2. 400(1 + 1.75/100)^2 = 414.12
£414.12
Answer:
The answer is 3.6
Step-by-step explanation:
Step one:
Singer A is offering his services for an initial $95 in addition to $12.95 per hour
let the number of hours be x and the total charge be y
the expression for the total for singer A is
y=12.95x+95----------2
Singer B is offering her services for an initial $99 in addition to $11.85 per hour
let the number of hours be x and the total charge be y
the expression for the total for singer A is
y=11.85x+99----------2
Step two:
Equating 1 and 2 we have
12.95x+95=11.85x+99
collect liker terms
12.95x-11.85x=99-95
1.1x=4
divide both sides by 1.1
x= 4/1.1
x=3.63
to the nearest tenth it is 3.6
The true statement about the function which is represented by this graph is: D. the function has an inverse because it passes the horizontal line test.
<h3>What is the
horizontal line test?</h3>
The horizontal line test states that if the graph of function (f) is intersected by any horizontal line more than once, then, the function (f) doesn't have an inverse.
Conversely, if the graph of function (f) isn't intersected by any horizontal line more than once, then, the function (f) has an inverse.
By critically observing the graph of the given function (f) shown in the image attached below, we can logically deduce that it has an inverse because it passed the horizontal line test.
Read more on horizontal line test here: brainly.com/question/6788383
#SPJ1
Answer:
Part a) 2.36 quarts
Part b) 47.2%
Step-by-step explanation:
Let
x ---> percentage of the resulting mixture that is antifreeze
Remember that
we know that
3 quarts of a solution multiplied by 0.22 (percentage in decimal form) plus 2 quarts of a solution multiplied by 0.85 (percentage in decimal form), must be equal to 5 quarts of a solution multiplied by x (percentage of the resulting mixture)
so
The linear equation that represent this situation is
solve for x
Convert to percentage
therefore
The percentage of the resulting mixture that is antifreeze is 47.2%
To find out how many quarts of antifreeze are in the resulting mixture, multiply the total quarts of the resulting mixture by the percentage in decimal form
Answer:
75
Step-by-step explanation:
x is the exterior angle of triangle BDH, meaning that the if you add up the other two angles of triangle BDH, which are the opposite interior angles of angle x, you will get x, which is 75.
If you want to visualize the exterior angle theory, you can look at an example in the picture in this post.
Hope this answer helps you, and was deserving of a Brainiest answer. :)