Let x = the amount of money he invests at 9%
and y = the amount of money he invests at 3%
y = x - 1400
0.09x + 0.03y = 198
x - y = 1400
9x + 3y = 19800
3x - 3y = 4200
9x + 3y = 19800
12x = 24000
x = 2000
y = 600
$2000 invested at 9% interest
and $600 invested at 3% interest.
The width of the aquarium is 0.1625 ft.
Step-by-step explanation:
Given,
The length (l) of the aquarium = 2 ft
Height (h) = 1.5 ft
The capacity of water it holds = 3.75 gallons
That means the volume (V) = 3.75 gallon
To find the width(b) of the aquarium.
Formula
- The volume of a cuboid with l as length, b as width and h as height = lbh
So,
V = 3.75×0.13 cube ft
According to the problem,
2×1.5×b = 3.75×0.13
or, b = (3.75×0.13)÷(2×1.5)
or, b = 0.1625 ft
Hence,
The width of the aquarium is 0.1625 ft.
Answer: what do you mean by a word problem?
Step-by-step explanation: 24 per hour = n times 10 hours = d so, 24(10)= $240
The second part of the equation -
8 hours = d times $20 per hour = n so, 8(20) = $160
$240+$160=$400 last week
Answer:
1004.8 in³
Step-by-step explanation:
d = 2r => r = d/2 = 16in/2 = 8 inches
V = Ab×h
= π·r²×h
= 3.14·(8in)²×5in
= 1004
Answer:
(8 - 12 )
Step-by-step explanation:
Given
x - y = 8
x + y = - 5
Multiply both equations through by 4 to clear the fractions
x - 2y = 32 → (1)
2x + 3y = - 20 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the x- term
- 2x + 4y = - 64 → (3)
Add (2) and (3) term by term to eliminate x
0 + 7y = - 84
7y = - 84 ( divide both sides by 7 )
y = - 12
Substitute y = - 12 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(- 12) = 32
x + 24 = 32 ( subtract 24 from both sides )
x = 8
solution is (8, - 12 )