6
Step-by-step explanation:
Step 1:
Let Rachel scored 33 points in total
Let a be the 1 point and b be the 2 point.
a = 21 points scored by 1 point. We want to find b
Step 2:
a+b=33
b= 33-a
= 33-21
= 12
b=12 points which means 6 double points
<span>Martin deposits $200
in a savings account that earns 5% annual interest.
year interest balance
1 200 * 5% 200(1.05)
2 200(1.05) * 5% 200(1.05)^2
3 200(1.05)^2*5% 200(1.05)^3
y 200(1.05)^y
=> m = 200 (1.05)^y
four years later,
cary deposits $200 in an account earning the same interest.
</span>
<span><span>year interest balance
5 200 * 5% 200(1.05)
6 200(1.05) * 5% 200(1.05)^2
7 200(1.05)^2*5% 200(1.05)^3
y 200(1.05)^(y-4)
=> c = 200(1.05)^ (y-4)
</span>
Answer:
Martin: 200(1.05)^y
Cary: 200(1.05)^(y–4)</span>
using pythagorean theorem
a^2 + b^2 = c^2
(12x)^2 + (16x)^2 = 10^2
square each term
144x^2 + 256x^2 = 100
combine like terms
400 x^2 = 100
divide by 400 on each side
x^2 = 1/4
take the square root on each side
x = 1/2
Answer: x=1/2
Step-by-step explanation:
* open dot
You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.
Make sure that:
- (0, -3) has an open dot
- nothing is plotted between x = 0 and x = 2
- (2, -4) has a closed dot
Answer:
b. DAC≅DBC
Step-by-step explanation:
∠DCB≅∠DCA=90° as they are right angles at the perpendicular lines
DC=DC reflexive property(they are the same line)
AC=CB they are both the radius of the same circle
DAC≅DBC due to SAS(Side angle Side)