Answer:
-2.44
Step-by-step explanation:
Is a right angle triangle
We apply SOHCAHTOA
SOH is sin=Opposite divided by Hypotenuse
CAH is cos=Adjacent divided by Hypotenuse
TOA is tan=Opposite divided by Adjacent
so in this case,cos is the right thing to use
Therefore,x=adjacent
15=Hypotenuse
angle=52°
Cos(52)=x÷15
making x the subject,
x=15cos(52)
x= -2.44
Answer with explanation:
To find the common multiple of 45 and 95,we will find HCF of 45 and 95.
45=3 × 3× 5
95=5 × 19
⇒H CF(45,95)
=3 × 3×5×19
=855
→Common multiple of 45 and 95 =855
→There are infinite number of multiple of 855 which are 855, 1710, 2565,.....
You have not written between which two numbers.So, you should write multiple of 855 such that it is smaller than the greater number.
The beginning formula that you start with is y=m(x)+b
after the problem is written into the formula your ready to start.
It should look like this:
26y=-0.4(1)+b
to get the entire formula you've gotta find the
y-intercept or "b"
to start solving multiply the "m" by the "x" A.K.A:
-0.4×1
you should come up with the answer -0.4 since everything multiplied by 1 is still the same thing depending on if its positive or negative
after you've finished solving the multiplication part the equation should look slightly different like this:
26y=-0.4+b
the next step is the get "y" by itself since right now is a variable.
also you should always remember what ever process of simplifying by the same number to get rid of it in a "y=m(x)+b" equation should be done the same to the other side
take a look at the "-" sign in front of 0.4 this would mean that you are going to do the oppisite opperation to cancel it out so you would be adding the same number to either side. after adding the -0.4 to itself that would leave "b" by itself the problem should now look like this:
(26y+0.4)=b
forget about the y for now and focus on the (26+0.4)
you should get 26.4=b
insert this into the original equation of "y=m(x)+b" and this should look like this:
y=-0.4(x)+12.4
Answer: a) , where 'A' is the value of car after 't' years.
b) $12446.784
Step-by-step explanation:
Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.
Then a function that models the value of the car will be
, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.
Thus after substituting given value, the function becomes
To find the value after 3 years, substitute t=3 in the above function.
Hence the value of car after 3 years=$12446.784
