Let
x ----> amount deposited at 4.5%
y ----> amount deposited at 5%
we have that
y=2x----> equation A
4.5%=0.045
5%=0.05
so
0.045x+0.05y=1,595 ----> equation B
solve the system
substitute equation A in equation B
0.045(x)+0.05(2x)=1,595
solve for x
0.045x+0.10x=1,595
0.145x=1,595
x=11,000
Find y
y=2(11,000)=22,000
<h2>The amount deposited at 4.5% was $11,000 and the amount deposited at 5% was $22,000</h2>
<span>(3x2 + 1) • (4x - 3) is the answer</span>
The person who weighs 100 pounds on earth.
Because in order to find the pounds on the moon you have to know how much they weigh on Earth which makes the pounds on the moon the dependent variable and the pounds on earth the dependent.
Answer:
116 cm²
Step-by-step explanation:
Shaded Area = area of the larger circle - area of the smaller circle
Area of the larger circle = πr²
Where,
r = 6.5 cm
Area = π*6.5² = 42.25π cm²
Area of smaller circle = πr²
Where,
r = 2.3 cm
Area = π*2.3² = 5.29π cm²
✔️Shaded area = 42.25π - 5.29π = 36.96π = 116.113264
Area = 116 cm² (3 S.F)
Part A: D) x is positive, y is negative.
Part B: C) both x and y are negative.
Part A:
P' is found by rotating P 90° counterclockwise about the origin. This makes the coordinates (x,y) transform to (-y,x). Thus (-2,-1) maps to (1,-2).
Part B:
Q'' is found by rotating Q 90° counterclockwise about the origin, then reflecting across the x axis. This makes the coordinates (x,y) first transform to (-y,x), then makes the new y-coordinate the opposite sign. Thus (1,2) first maps to (-2,1), then to (-2,-1).
