Answer:
Step-by-step explanation:
The formula for simple interest is
I = Prt,
where I is the interest earned,
P is the initial investment amount,
r is the interest rate in decimal form, and
t is the time in years. For us,
I = 75,
P = ?
r = .05
t = 1
Filling in what we were given:
75 = P(.05)(1) and
.05P = 75 so
P = 1500
Answer:
m∠RST = 20
Step-by-step explanation:
Sine the line SP bisects ∠RST, we know that the two angles that were formed are equal. Set ∠RSP equal to ∠PST.
∠RSP = ∠PST
3x - 2 = 9x - 26
(3x - 2) + 2 = (9x - 26) + 2
3x = 9x - 24
3x - 9x = (9x - 24) - 9x
-6x = -24
(-6x)/-6 = -24/-6
x = 4
Now that you know the value of x, add ∠RSP and ∠PST. This will give you m∠RST.
m∠RST = (3x - 2) + (9x - 26)
m∠RST = 3x - 2 + 9x - 26
m∠RST = 12x - 2 - 26
m∠RST = 12x - 28
m∠RST = 12(4) - 28
m∠RST = 48 - 28
m∠RST = 20
Answer:
8y - 2x + 2
Step-by-step explanation:
Distribute;
8y + 8 - 2x - 6
Combine like terms;
8y - 2x + 2
Answer:
13 < y + x < 32
Step-by-step explanation:
x in (8,10) and y in (5,22) implies x + y in (8+5,10+22) = (13,32) so 13 < y + x < 32.
It's A.
1. The closed circle connects to the x≥1 function, so that rules out B and C.
2. The x≥1 piece has a positive slope on the graph, so that rules out D.