X + y = 90
Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y
Now plug that into the x of the first equation.
(24 + 2y) + y = 90
Combine like terms.
24 + 3y = 90
Subtract 24 from both sides.
3y = 66
Divide both sides by 3.
y = 22
The measure of the smaller angle is 22°
Answer: neather do i add picture
Step-by-step explanation:
Answer:
2.5 Teaspoons of vanilla are needed.
Step-by-step explanation:
If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.
If you have 5 cups of flour 5 x .5= 2.5 (teaspoons)
If we look at where it is now, we would have multiplied the x and y values by 1/2. since we are working backwards, lets multiply by 2 instead...giving us the vertex for the pre-image....
J is now (0, -2) multiply by 2
J was (0, -4)
The Future value is:
a) $10,210.25
b) $11,220.41
c) $12,308.99
d) $18,938.90
e) $44,835.28
What is future value?
The future value (FV) of any asset can be understood as an increase in its value at a fixed rate over a period of time. For a given principal sum P, rate of interest r, and time period t, the future value of an asset can be calculated as:
FV=P*(1+r) ^t
We can find future value as shown below:
P=$8,000
t=5 year
a) r=6%=0.06
FV=8000*(1+0.05) ^5
=8000*(1.0) ^5
=$10,210.25
b) r=7%=0.07
FV=8000*(1+0.07) ^5
=8000*(1.07) ^5
=$11,220.41
c) r=9%=0.09
FV=8000*(1+0.09) ^5
=$12,308.99
d) r=9% compounded semiannually
= 0.09
t=2*5=10
FV=8000*(1+0.09) ^10
=8000*(1.09) ^10
=$18,938.90
e) r=9 percent compounded quarterly
=0.09
t=5*4=20
FV=8000*(1+0.09) ^20
=8000*(1.09) ^20
=$44,835.28
Learn more about Future value here:
brainly.com/question/7463006
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